BMT-Basic Maths Training by i20fever Yathapu Consulting Pvt Ltd

BASIC MATH TRAINING NUMBER THEORY Directions for questions 1 to 30: Select the correct alternative from the given choices. 1.

Which of the following is an integer?

d) 3.0

e) 2.5

Which of the following is not a prime number? a) 2 b) 3 c) 1

d) 5

e) 11

Which of the following is not a composite number? a) Integer b) Rational c) Whole

d) Prime

e) Real

a) 4.3

c) 7.2

Two different containers contain 12 liters and 15 liters of milk. Which biggest measure can measure both the different quantities exactly? a) 5 b) 6 c) 3 d) 15 e) 10

The L.C.M and G.C.D of two numbers are 60 and 5 respectively. If one of the numbers is 15 find the other number. a) 5 b) 60 c) 15 d) 20 e) None

Which one of the following number can replace the * in the number 3746 * 36 so that the number is divisible by 8? a) 8 b) 4 c) 0 d) 1 e) 2

If 3 honey bees start at the same time in the same direction hovering around a flower. First honey bee completes a round in 20 seconds, second honey bee in 25 seconds and the third honey bee in 30 seconds, all starting at the same point. After what time will they meet again at the starting point? a) 75sec b) 100sec c) 300sec d) 500sec e) none

Which of the following is a multiple of 6? a) 2860 b) 1729 c) 7392

The numbers are co primes. Find their L.C.M

a) 10.

d) 3435

e) None

Find the greatest number which divides 33 and 133 leaving a reminder 3 in each case. a) 5 b) 3 c) 15 d) 33 e) 10

11.

12.

What is the value of ( 22) ( 18)? a) 4 b) 40

15.

16.

20.

21.

The number 2.3 belong to which of the following set? a) N b) c) W A number n is divisible by 3 then it is divisible by_____. a) 6 b) 9 c) 12 " #

d) â&#x2C6;&#x161;1.69

e) c and d

d) !

e) None

d) all the above

e) none

is a well defined number then which of the following is true?

a) p=0,q=0

19.

b) â&#x2C6;&#x161;5

The sum of two numbers is 35. If one of the numbers is 160 find the other number. a) 125 b) 125 c) 195 d) 195 e) 0

17. If

18.

e) none

A number â&#x20AC;&#x2DC;nâ&#x20AC;&#x2122; when divided byâ&#x20AC;&#x2DC;dâ&#x20AC;&#x2122; leaves reminder â&#x20AC;&#x2DC;râ&#x20AC;&#x2122; then find the quotient. a)

14.

d) 4

Which one of the following is a rational number? a) â&#x2C6;&#x161;3

13.

c) 40

b) $ %0, q=0

c) p<0,q>0

d) p=0,q%0

If n is a whole number then which of the following is/are true? (i) n is a natural number. (ii) n is a integer. (iii) n is a real number. a) only(i) b) only(ii) c) only(iii) d) only(ii) and (iii)

e) both c and d

e) all are correct

Given , are two numbers such that ( = then which of the following is false? a) , ) * b) , ) c) , ) + d) , ) ! e) None Given p, q are two numbers such that p % q % 0 and pq =1.Which of the following is true? a) $, / ) + b) $, / ) 0 c) $, / ) d) $, / ) ! e) None Given m is a multiple of 2 and n is not a multiple of 2. Which of the following is true? a) m + n is a multiple of 2 b) m + n is not a multiple of 2 c) mn is a multiple of 3 d) m + n is a multiple of 4 e) Both (b) and (c)

22.

23.

24.

Which of the following numbers can replace * in the number 74 * 859 so that the given number is a multiple of 11? a) 4 b) 5 c) 3 d) 1 e) 9 What is the units digit in the product 736 Ă&#x2014;535Ă&#x2014;367? a) 4 b) 3 c) 7 d) 9 e) 0 Which of the following cannot be a square of a natural number? a) 344569 b) 524176 c) 374544 d) 132743

e) 534361

25.

If a number is divided by 4 then the reminder is 1. If the same number is divided by 2 then find the remainder. a) 1 b) 3 c) 2 d) 0 e) None

26.

Which of the following has maximum number of factors? a) 12 b) 24 c) 91 d) 247

27.

28.

29.

30.

If 1 0 then | | =? a)

c) â&#x20AC;&#x201C;

How many integers are there in between 5 and 5? a) 10 b) 5 c) 8 How many integers are there from 5 to 5? a) 13 b) 3 c) 11

e) Can not be determined

e) None

d) 4

e) 9

d) 14

e) None

If p is an integer then which of the following is less than p? a) p

b) 3p

c) 4

c) 2p+3

d) None

NOTES

BASIC MATH TRAINING PERCENTAGES - PROFIT AND LOSS Directions for questions 1 to 20: Select the correct alternative from the given choices. 1.

What is the equivalent fraction of 25%? [Hint: multiply with 566] a)

566 4

5 4

d) 120% 5

d) 1.25

e) 0.05

c) 75%

d) 80%

e) 40%

What is the value of 28% of 450 + 45% of 280? a) 126 b) 152 c) 252

d) 175

e) 226

What percent of 8km is 6km? a) 80% b) 75%

d) 60%

e) 40%

b) 6.25

e) none

c) 0.25

is what percent of 7 ?

b) 150%

c) 50%

Which one is greater among 40% of 50 and 50% of 40? a) 50% of 40 b) 40% of 50 c) both are equal d) cannot be determined

e) none

What is 2 % of 4 k.m? [Hint 1 km = 1000m] a) 2.2 km

c) 566 %

b) 12% 5

a) 50% 5.

What is the equivalent decimal of 6 4 % ? [Hint: multiply with 566] a) 0.0625

What is the equivalent percentage of the decimal 1.2? [Hint: multiply with 100] a) 1200%

7 4

b) 88 m

c) 88 km

d) 2.5 m

e) none

c) 160 gm

d) 175 gm

e) 200 gm

What is 3 % of 5 kg? a) 3.5 kg

b) 350 gm

10.

Cost price of an article is Rs.30 and dealer sold the article at Rs.35. What is the profit? a) Rs.5 b) Rs.35 c) Rs.30 d) Rs.65 e) none

11.

David bought a book for Rs.240. He sold it at Rs.200. What is the loss? a) Rs.200 b) Rs.240 c) Rs.40 d) Rs.20

e) Rs.50

12.

A shop keeper incurred a loss of Rs.50 by selling an article at Rs.200.Find the cost price a) Rs.150 b) Rs.200 c) Rs.300 d) Rs.250 e) none

13.

A merchant incurred a profit of Rs. 60 by selling 5 pens for Rs.260. What is the cost price of each pen? a) 50 b) 40 c) 200 d) 60 e) 45

14.

Cost of an article has been increased by 4%. If the original cost of the article is Rs. 800 then find the new cost? a) Rs.768 b) Rs.804 c) Rs.832 d) Rs.840 e) Rs.848

15.

Bruce incurred 40% loss by selling an article at Rs.300. What is the cost price of the article? a) 500 b) 340 c) 260 d) 140 e) 260

16.

John purchased a bike for Rs.12000 and sold it for Rs.10000. What is the loss %? a) 200% b) 20% c) 15% d) 25% e) 16.6%

17.

Calvin purchased a phone for Rs.2500. If he wants to incur 25% profit, what should be the selling price? a) 2275 b) 3000 c) 2625 d) 2500 e) 3125

18.

Peterâ&#x20AC;&#x2122;s salary was Rs.12000 in 2004 and increased by Rs.3000 in 2005. Find the percentage increase in his salary [Hint: find the difference] a) 25% b) 33% c) 30% d) 75% e) 50%

19.

Jack sold a chair at 10% profit and he gained Rs.100. What is the cost price? a) Rs.1000 b) Rs.1500 c) Rs.800 d) Rs.700

20.

e) Rs.900

David sold an article at 10% loss. If he had sold at 5% profit, then he would have gained Rs.150 more. What is the cost price of the article? a) Rs.1500 b) Rs.1000 c) Rs.1700 d) Rs.1900 e) Rs.2000

NOTES

BASIC MATH TRAINING SIMPLIFICATION Directions for questions 1 to 30: Select the correct alternative from the given choices. 1.

Simplify: 31x92x273x814 [ Hint: am x an x ap = am + n + p ] b) 330 c) 310 a) 910

d) 930

e) 315

Simplify: 21 + 22 + 23 + 24 + 25 a) 215 b) 210

d) 62

e) 72

d) 12

e) 8

d) 105

e) 106

Simplify : 1 : 2 +3;4 – (5+4) : 2 [ Hint : Apply BODMAS] a)

Simplify B

c) D

d) 7

46 D4

56 7 5D

Simplify : 0.8 × 0.8 + 0.8 + 0.8 [Hint: Apply BODMAS] a) 1.32 b) 1.24 c) 2.24 Simplify : 2 +

5 5 6

L L MN L MN L MN M

b) 5

64 5D

d) 1.16

56 7 D4

e) 2.32

[ Hint: Simplify from bottom to top] 54 D6

Simplify: 10 ( 12 4 15 a) 7 5

10.

[Hint: ( ( E FGHIJ K ]

Simplify : 16 3/2 + 16 (-3)/2 [Hint: Rewrite 16 as 24 and apply (am)n = amn]

a) 9.

c) 10

C C C C C C : C D D D D D D : D 5D b) 5

a) 0 7.

Simplify : 10150 : 10146 [Hint: am : an = am-n] b) 103 c) 104 a) 102

a) 1 6.

c) 2120

b) 8 4

c) D

5 6

O PG F: S ( 5

c) 7

d) T

–$

5D 6

e) R

K ( $ ( U S ( 7

d) 7 4

574 D #

e) 8 5

If √ ( √W K 10 then find the value of ( W. [Hint: (√ ( √W )2 = a+b+2√ W )] a) 100 b) 1000 c) 500 d) √10 e) cannot be determined

11.

a) 300

12.

How many D â&#x20AC;˛J are there in 83 7? [Hint: D ; K 83 7 Find Y Simplify: a)

77 55

b) 398

L M [ L O Y M Z \ ] [ ] L Z ^_ ^_ ] Z M `

c) 500

d) 600

e) 800

[Hint: Apply BODMAS]

77 5

47 555

77 56

47 56

13.

If a * b = a2 + b2 + ab then find the value of 1 * (2*3). [Hint: Initially find the value of the expression which is inside the brackets.] a) 381 b) 329 c) 364 d) 396 e) 346

14.

If a2 + b2 = 19 and ab =15. then find the value of a + b [Hint: (a + b)2 = a2+b2+2ab] a) a 6 b) a7 c) a8 d) a9 e) a10

15.

Simplify: (am)n-p . (an)p-m . (ap)m-n [Hint: (am)n = amn Also am. an. ap = a m + n + p] 5

a) 1

16.

c dNe c eNf . cfNd . [Hint: am. an. ap = c Md .cMe .c Mf " # " # "#

Simplify: a)

17.

Simplify:

L L g i . g j h h L L k i . k j l l

19.

20.

d) 4" 4# 4

e) 1

5 5

c R

e) ( ) x+y

Simplify: (2a+3b)2 + (2aâ&#x2C6;&#x2019;3b)2 [Hint: (a+b)2 + (a b)2 = 2(a2+b2)] a) 6a2+16b2 b) 8a2+18b2 c) 4a2+9b2 d) 4a2+6b2

e) 8a2+16b2

Simplify: (3a+4b) (9a2â&#x2C6;&#x2019;12ab+16b2) [Hint: (a+b) (a2â&#x2C6;&#x2019;ab+b2) = a3+b3] b) 27a3-64b3 c) 3a3+4b3 d) 27a3+64b3 a) 9a2 â&#x20AC;&#x201C; 16b2

e) 9a2+16b2

Simplify: (a+c) (aâ&#x2C6;&#x2019;c) ( ( cM) [Hint: (a+b) (a b) = a2 b2) ] 5

22.

e) ap

[Hint: Rm = (R )m]

b) n o a+b

a) 4 ( c]

21.

d) an a m + n + p]

a) 1 18.

c) am

b) C c\

c) 4 c]

Factorize: 16a2â&#x2C6;&#x2019;8a+1 [Hint: a2â&#x2C6;&#x2019;2ab+b2 = (a b)2] a) (4 aâ&#x2C6;&#x2019;1)2 b) (4 a+1)2 c) (8aâ&#x2C6;&#x2019;1) (2aâ&#x2C6;&#x2019;1)

d) C ( c\

d) ((8a+1) (2aâ&#x2C6;&#x2019;1))

Factorize: 6x2+5x 6 [Hint: 36 = 9x 4. also 9 4=5] a) (3 +2) (2 3) b) (3 2) (2 +3) c) (6 1) ( +6) 2 e) (3 -2)

e) 1

e) (2aâ&#x2C6;&#x2019;1)2

d) (6 +1) ( -6)

23.

Factorize: (a + b)2 +2(a + b) (b + c) + (b + c)2 [Hint: a2+2ab+b2 = (a + b)2] a) (a + b + c)2 b) (a + b + 2c)2 c) (2a + b + c)2 d) (a + 2b + c)2 e) (a + 2b + 2c)2

24.

Factorize: 2a3−54 [Hint: a3−b3 = (a−b) (a2+ab+b2)] a) 2(a−3) (a+3)2 b) 2(a−3) (a2+3a+9) d) (a+3) (a2+9) e) a(a+3) (2a+9)

c) 2(a+3)(a2−3a+9)

Factorize: 8x3+27 [Hint: a3+b3 = (a + b) (a2 ab+b2)] a) (2 +3) (4 2−6 +9) b) (2 +3)3 d) (2 +3) (4 +9) e) none of these

c) (2 +3) (4 2+6 +9)

Factorize: x2 3x 180 [Hint: 2 – ( W ( W K W Y a 90 ( 2 b 30 ( 6 d ( 15 12 e ( 30 6

c 15 ( 12

Factorize: 18 7a a2 [Hint: 2 – ( W ( W K W Y a ( 1 ( 18 b) 2 ( 9 d) 2 9 e) ( 2 18

c) 2 ( 9

25.

26.

27.

28.

29.

30.

Factorize: 6a2 5a 14 [Hint: 2 – ( W ( W K W Y a) (−6a+7) (a+2) b) (6a−7) (−a+2) c) (6a+7) (a−2) d) (6a−7) (a−2) e) (6a+7) (a+2) Factorize: 12 4a 5 a) (a−2) (5a+6) b) (a+2) (5a−6) e) (a+2) (5a+6)

c) (a−2) (6−5a)

Factorize:8 4 +18 35 [Hint: put = a and proceed] a) (x2+7) (4x2+5) b) (7−x2) (4x2−5) c) (x2–7) (4x2+5) e) (x2−7) (4x2−5)

d) (a+2) (−5a+6)

d) (2x2+7) (4x2−5)

NOTES

BASIC MATH TRAINING SETS Directions for questions 1 to 20: Select the correct alternative from the given choices. 1.

The element belongs to set p is written symbolically as________. a) q p

b) r p

d) {2,3,5â&#x20AC;Ś}

e) {multiples of 2}

b) 2n

c) 2n

d) nâ&#x2C6;&#x2019;2

c) {2,3,4}

d) {2,3}

e) {4}

c) {1,2,3,3,4,5}

d) {4,5}

e) {1,2,3,4,5}

c) {a, b, c, p, q, r}

d) {a, b}

e){q, r}

d) {p, q, r}

e) {a, e, i, o, u, p, q, r}

b) {1,2,3}

b) {2,3}

A= {a, b, c}; B= {p, q, r}. Find A B. a) {a, b, c}

c) {â&#x20AC;Ś0,1,2}

A= {1, 2, 3}, B= {3, 4, 5}. Find AxB. a) {3}

b) {0,1,2}

A = {1, 2, 3}; B= {2, 3, 4}; find AwB. a) {1,2,3,4}

b) A= { 2/ ) +, 1u u 5} d) A= {12, 22, 32, 42, 52}

A set P has n elements. Find the number of subsets of P? a) n

e) t p

Which of the following is a finite set? a) {0,1,2, â&#x20AC;Ś}

d) s p

The set builder form for the set A={1,4,9,16,25} is _______. a) A= { / 1 u u 25} c) A= { ) +/ 2) +} e) A = {1â&#x2C6;&#x2019;1, 2â&#x2C6;&#x2019;4, 3â&#x2C6;&#x2019;9, 4â&#x2C6;&#x2019;16, 5â&#x2C6;&#x2019;25}

c) ) p

b) {p, q, r}

A= {a, e, i, o, u};B= {o, u, p, q, r}. Find Aâ&#x2C6;&#x2019;B. a) {a, e, I, o, u}

b) {o, u, p, q, r}

c) {a, e, i}

A= {1, 2, 3, 4, 5}; B= {3, 4, 5}; C= {1, 2}. Which of the following is true? a) A=B+C

10.

b) A B=C

b) {6,7,8,9,10}

c) {1,2,窶ｦ10}

d) ) p {| ) z

b) ) p ) z

c) ) p {| r z

b) A wB q AxB

c) A B qB A

b) 3

c) 6

d) 5

b) 30

c) 40

d) 50

d) ) p r z

d) B A qA B

e) 4

e) 60

Which of the following is a set? a) Best batsmen in Indian cricket team. c) Good people in a society. e) Some rivers in India.

17.

e) r p r z

In a school, 150 students are there 60 students play cricket, 70 students play foot ball and 20 students play both the games. How many students do not play any one of these games? a) 20

16.

c) ) z

Given n(A)=5, n(B)=4 and n(AxB)=3.Find n(AwB). a) 9

15.

e) None

If A, B are two non empty sets then which of the following is true? a) Ax B q AwB e) None

14.

d) {3,4,5,6}

An element X belongs to the set A竏達 then which of the following is true? a) ) p {| ) z e) none

13.

e) Aq B+C

An element belongs to set AxB. It is represented symbolically as a) ) p ) z b) ) A

12.

d) BqC

y= {1,2,3,4,5,6,7,8,9,10}; A= {1,2,3,4,5}. Find A1 a) {1,2,3,4,5}

11.

c) CqB

b) Small villages in India. d) All letters of English alphabet.

The number of elements in the set {(1, 2 )} is_____. a) 1

b) 2

c) 0

d) 4

e) none

18.

A= {a, b, c, c, b, a}. Then what is the cardinality of set A? a) 6

19.

c) 3

d) 4

e) 5

A= {p, q, {3, 6}, 0}. Which of the following is true? a) pqA

20.

b) 2

b) {p, q} ) A

c) {0} ) A

d) {3, 6} ) A

e) 3) A

If AxB = B then which of the following is true? a) BqA

b) AqB

c) AwB =O

d) none

NOTES

BASIC MATH TRAINING EQUATIONS IN ONE VARIABLE AND TWO VARIABLES Directions for questions 1 to 20: Select the correct alternative from the given choices. 1.

Solve the equation 4x+12=36 2x. a) 5 b) 4 7 4

b) 12

d) 8

e) 18

4 7 7

d) 8

e) 18

c) 3

d) 4

e) 5

â&#x2C6;&#x2019;1 =2 then find . 5

c) 20

a) 3 5.

e) 12

Find the value of which satisfies the condition 2 K a) 7

d) 7

Solve the equation $ 1 K ( 1. a) 15

c) 10

b) 1

Ramuâ&#x20AC;&#x2122;s salary is half of that of Somu and Peterâ&#x20AC;&#x2122;s salary is double the salary of Ramu. Find the difference between salaries of Somu and Peter, if Peterâ&#x20AC;&#x2122;s salary is Rs. 7500. a) Rs. 2500 b) Rs. 5000 c) Rs. 7500 d) Rs. 10000 e) Rs. 0 Find the values of , y if 2 ( 3 4 K 0 and 4 ( 5 2 K 0. a) K 7, K 6 b) K 2, K 3 d) K 5, K 3 e) K 8, K 4

c) K 4, K 6

Half of a number is added to one third of same number and the sum is equal to 20. Then the number is___. a) 20 b) 25 c) 24 d) 26 e) 30

Two third of a quantity exceeds its one third by 6. Find the quantity. a) 20 b) 9 c) 16 d) 18

e) 22

Five years ago the age of the father was twice that of his son. Sum of their present ages is 70. Find the present age of the father. a) 40 b) 30 c) 45 d) 50 e) 35

10.

Jacks age 13 years ago is half of his age 13 years later. What is his present age? a) 30 b) 36 c) 26 d) 39 e) 33

11.

If a number is multiplied by 3 and 2 is added to that number then result is divided by 2. The quotient is equal to 10. Find the number. a) 6 b) 5 c) 7 d) 8 e) 16

12.

The present age of a boy is one sixth the age of his father. 5 years later the sum of their ages will be 45 years. The sum of their present ages is a) 30 b) 35 c) 25 d) 5 e) 40

13.

A pole is painted in the following manner of the pole is white, of the pole is black and the remaining

5 7

4meters of the pole is painted in green. Find the length of the pole. a) 9 meters b) 6 meters c) 8 meters d) 12 meters 14.

e) 10 meters

A milkman has some buffaloes, cows and goats. He has goats equal to times the number of cows and 7

cows equal to times the number of buffaloes. If there are 150 animals with the milk man, then find the number of goats.

a) 24 15.

c) 40

d) 90

e) 100

In a two digit number the unitâ&#x20AC;&#x2122;s value is 2 more than that of the tenâ&#x20AC;&#x2122;s digit and the sum of the digits is one fourth of the original number. Find the original number. a) 24

16.

b) 36

b) 46

c) 68

d) 13

e) 57

The prizes are to be distributed in a sports meet and their total amount is 1000. Second prize is half of 5

the first prize and third prize is 7 of the second prize. Then find the amount of second prize. a) 600 17.

c) 100

d) 400

e) 500

If 2 is subtracted from a number and the difference is multiplied by 4 and the result is divided by 2 gives 10. Find the number. a) 5

18.

b) 300

b) 6

c) 10

d) 7

e) 4

The sum of ages of father and son is 70. After 10 years the age of the father is twice the age of his son. Then find the present age of son. a) 30

b) 40

c) 20

d) 25

e) 35

19.

The base of an isosceles triangle is 7 of one of its equal sides and the perimeter is 140. Find the length of the base.

a) 60

20.

Dr. Murthy left

b) 30

5 7

c) 40

d) 50

e) 20

5 4

of his property to his son, to his daughter and remaining to his wife. If the wifeâ&#x20AC;&#x2122;s

share was Rs. 70000. Find the total property. a) 120000

b) 168000

c) 200000

d) 140000

e) 150000

NOTES

BASIC MATH TRAINING PERMUTATIONS AND COMBINATIONS, PROBABILITY Directions for questions 1 to 30: Select the correct alternative from the given choices. 1.

What is the value of a) 90

c) 5

d) 1

e) 7!

What is the value of 5"[ ? a) 20 b) 60

c) 40

d) 50

e) 45

Find the value of 6SM . a) 4! b) 12

c) 15

d) 20

e) None

b) 10

d) k = n p

e) None

d) 1

e) 12

If Sd = S~ , then which of the following is true? a) k = 1

56! ? !

b) k =n

c) k = "

What is the value of 4S] ? a) 4!

b) (n 1)!

4;7

In how many ways can a team of 11 players be selected from a team of 15 players? b) 15"LL c) 165 d) 14"L e) None a) 15SLL

In how many ways can we select 2 participants out of 10 participants in a competition? a) 10"M b) 10! c) 2! d) 10SM e) 1

The number of ways of arranging 3 books in a rack is______. a) 3Â&#x20AC;5 b) 3$7 c) 3Â&#x20AC;7 d) 3Â&#x20AC;4

e) None

There are 3 different routes from station A to station B and 4 different routes from station B to station C. In how many ways can a person travel from station A to station C? a) 7 b) 11 c) 9 d) 12 e) 16

10.

How many words (with or without meaning) can be formed by using all the letters of the word MOVIE? a) 120 b) 3125 c) 25 d) 175 e) None

11.

In how many different ways can the letters of the word HELLO be arranged? a) 5!

b) 4!

c) !

d) 25!

e) None

12.

13.

14.

In how many ways can 2 red balls be selected out of 7 red balls and 3 white balls? a) 7 b) 10 c) 10 3 d) 7 3 e) None In how many ways can two chocolates be distributed to three children? a) 6 b) 4 c) 9 d) 12

e) 10

In how many ways can the letters of the word PASSWORD be arranged? a) 8!

C! !

C! 7!

d) 8$

e) None

15.

How many 3 digit numbers can be formed from 3,4 and 5 that always end with 3? (Repetition of digits is not allowed) a) 6 b) 4 c) 2 d) 1 e) None

16.

In how many ways can the letters of the word PEN be arranged such that PE comes together? a) 1

17.

b) 3!

c) !

d) 4

e) None

In how many different ways can the letters of the word BOOK be arranged such that always it starts with the letter k? a) 3!

b) 3

c) !

d) 2!

e) 3$

18.

In a group of 5 men and 4 women, a committee of four members is to be selected. In how many ways can the committee be selected such that it consists of 2men and 2 women? a) 5 4 ;4 4 b) 5 ; 4 c) 9 4 d) 5 ( 4 e) None

19.

In how many ways can the letters of the word ALABAMA be arranged such that all A’s come together? a) 7!

b) 4!

c) 4!

d) 4!4!

e) None

20.

How many 4 digit numbers which are the multiples of 5 can be formed from 3, 2, 5 and 7? a) 10 b) 6 c) 8 d) 12 e) 14

21.

In a row there are 3 girls and 5 boys. In how many ways can they be arranged so that all girls sit together? a) 8! b) 3! c) 6! d) 7! e) 6! × 3!

22.

What is the probability of getting a head or a tail when a coin is tossed? 5

a) 4 23.

b) 7

c) C

e) 1

A die is tossed. Find the probability that the number shown is a multiple of 2. 5

a) D

b) D

d) 7

e) None

24.

A coin is tossed 3 times. Find the probability of getting 2 heads. a)

5 4

7 C

e) None

25. A die is thrown. Find the probability of getting a number more than 2. a) 26.

b) 7

5 4

b) D

In a simultaneous a)

27.

c) 5

d) 7D

e) None

In a rack there are 7 books, namely A, B, C, D, E, F and G. A book is drawn at random. Find the probability of picking the book either A or B. 5

e) None

In a simultaneous throw of two coins, what is the probability of getting two heads? 5

a) 4 30.

e)None

throw of two dice, what is the probability of getting the sum of the numbers as 9?

b) 56

a) 29.

d) 7

A number is selected from 1 to 100. Find the probability that the selected number is multiple of 5. a)

28.

c) 4

d) 1

e) None

Four persons are to be selected from a group consisting of 4 women and 4 men. Find the probability of the selected group that contains exactly 3 women. 4S

a) CSL ]

b) CS[ ]

4SL ;4S[ CS]

d) CS

]

e) None

NOTES

BASIC MATH TRAINING LINES, ANGLES AND TRIANGLES Directions for questions 1 to 20: Select the correct alternative from the given choices. 1.

In a triangle ABC, AB=5, BC=4, CA=7. Find the perimeter. a) 9 b) 12 c) 16 d) 18

e) 15

In a triangle ABC, A = 30°, B=60°, C =? a) 600 b) 900 c) 1200

d) 450

e) 750

d) Right angle

e) None

In the following figure, DBC is____.

a) Straight angle 4.

The two suplementary angles are p, z, G p ( z. a) 90 b) 100 c) 180 d) 360

e) 250

In the adjacent figure, AC is a line segmt what is the value of pz .

a) 300 6.

b) Obtuse angle c) Acute angle

b) 500

c) 450

The angle between two parallel lines is___. a) 900 b) 1800 c) 00

d) 600

e) 900

d) 1000

e) 3600

In the following figure, what is the value of ( W ( ( ?

a) 1800 8.

e) none

c) W

e) both g & c

b) , W , I e) , ,

c) , , I

Three points X,Y and Z are collinear. If XY + YZ=XZ then which point lies between other two? a) X

11.

d) 3600

In the following figure, l//m. Which of the following are alternative interior angles?

a) , , d) , , I 10.

c) 00

In the following figure l//m. e is equal to_____.

a) 9.

b) 900

b) Y

c) Z

d) cannot be determined

e) none

In a triangle ABC, AB=BC. Which of the following is true? a) p K z

b) z K

c) K p

d) p K z K e) none

12.

In the following figure, what is the value of Â Â° ( Â Â° ( Â Â&#x2C6;Â°.

a) 1800 13.

14.

15.

16.

c) 3600

d) 2750

e) 1000

In an equilateral triangle ABC, AB= 7cm. What is the value of BC? a) 5 b) 8 c) 10 d) 7

e) 14

In a triangle Â p, Â z Â Â&#x2021; are in the ratio 20:30:40. Find Â z. a) 30 b) 40 c) 50 d) 60

e) 75

Angles x and y are complementary to each other and Â is half of Â . Find Â . b) 600 c) 300 d) 900 e) 1200 a) 450 In triangle ABC, D and E are the mid points of AB and AC respectively. If the length of BC is 16cm then find the length of DE(in cm).

a) 4 17.

b) 900

b) 16

c) 32

d) 6

e) 8

In the following figure, ABC is a triangle and the side BC is extended to D.If Â A=600 and then find Â ABC.

a) 600

b) 1600

c) 800

d) 400

Â ACD=1000

e) 500

18.

19.

20.

In which of the following cases, can we construct a unique triangle ABC? (i) A=10, B=20, C=1770 (ii)AB=4cm, BC=4cm and AC=3cm (iii)AB=AC, A=600 (iv)AB=AC, BC=6cm (v)AB=BC=AC a)Only (i) and (ii) b)Only (ii), (iii) and (iv) d)Only (iii), (iv) and (v) e)All of (i), (ii), (iii), (iv) and (v) In an isosceles triangle p K 90 and AB = AC, then = __? b) 1800 c) 600 d) 300 a) 900

c)Only (ii)

e) 450

In triangle ABC, AB=5, BC=7 then find the number of positive integer values of AC. a) 8 b) 9 c) 10 d) 7 e) 11

NOTES

BASIC MATH TRAINING QUADRILATERALS AND CIRCLES Directions for questions 1 to 25: Select the correct alternative from the given choices. 1.

2. 3.

Area of a sector is . Find the angle subtended by that sector if radius is 2cm. a) 60° b) 90° c) 120° d) 75° e) 45° Angle subtended by a sector is 36° and the radius is 35cm find the length of the arc. a) 5 b) 36 c) 7 d) 8 e) In the following figure BC is a diameter. Find A .

a) 45° 4.

c) 60°

d) 90°

e) Cannot be determined

The angles of a quadrilateral are in the ratio of 10:5:12:9. Find the smaller angle. a) 50 b) 25 c) 35 d) 27 c) 40 In a parallelogram ABCD, p = 110°. Find z. a) 120° b) 50° c) 20°

d) 65°

e) 70°

d) 60°

e) 120°

d) 60°

e) 120°

In a quadrilateral ABCD, p z = 80° . Find BOC.

a) 180° 7.

b) 30°

b) 100°

c) 360°

In a rhombus ABCD, p = 60° Find CDB.

a) 90°

b) 45°

c) 80°

10.

In a rhombus the mid points of all adjacent sides are joined, and then the figure formed by joining the lines is a_____. a) Rhombus b) Rectangle c) Parallelogram d) Trapezium e) square In a parallelogram ABCD, p K 80°. Find C. a)100° b) 180° c) 80°

e) None

d) 25 cm

e) none

In a rectangle ABCD, ‘O’ is a center OB = 5cm, AO =? a) 10cm

11.

d) 120°

b) 5 cm

c) cm

If a parallelogram has equal sides then it is called_________. a) trapezium b) rectangle c) circle d) rhombus

e) square

12.

If a diagonal of a rhombus divides rhombus into two triangles then they are ___. a) equal in area b) not equal in area c) need not be equal d) can not be determined e) none

13.

What is the angle at the centre of circle? a) 180° b) 360° c) 90°

14.

15.

16.

d) 45°

e) None

In a circle radius is 4cm. Find the length of the biggest chord. a)16cm b) 4cm c) 8cm d) 40cm

e) 32 cm

What is the biggest angle made by a chord at center in a circle? a) 360° b) 180° c) 90° d) 120°

e) Can not be determined

What is the sum of exterior angles of a quadrilateral? a) 180 b) 360° c) 90°

e) 270°

d) ∞

17.

What is the distance between two end points of longest chord in a circle of radius r units? a) 5cm b) 0 cm c) 2 r d) 2r e) None

18.

Which of the following is not true? a) Diagonals of rectangle perpendicularly bisect each other. b) In a parallelogram opposite angles are same. c) In a rhombus all sides are equal. d) In parallelogram diagonals bisect each other. e) In a trapezium any two opposite sides are parallel.

19.

In a parallelogram, if the opposite angles are supplementary then it is a __________. a) rhombus b) trapezium c) rectangle d) circle e) none

20.

In which of the following, diagonals are equal? a) rhombus b) parallelogram c) rectangle

21.

25.

c) 5 cm

d) 7.5 cm

e) None

b) 60°

c) 180°

d) 75°

e) 45°

c) 80°

d) 90°

e) 60°

d) 90°

e) 120°

In the following figure, find CDE.

a) 70°

24.

b) 2.5 cm

In the following figure ‘O’ is the centre of a circle. AB is a chord. If OAB = 45° then find ABO.

a) 90° 23.

e) none

In the following figure ‘O’ is the centre of circle. AB is a chord, OC AB and AC = 5 cm. find BC.

a) 10 cm 22.

d) trapezium

b) 110°

Find each exterior angle of regular polygon of 6 sides. a) 45° b) 60° c) 75°

From an interior point P, how many tangents can be drawn to circle? a)1 b) 2 c) 0 d) 180

e) 360

BASIC MATH TRAINING CO-ORDINATE GEOMETRY Directions for questions 1 to 20: Select the correct alternative from the given choices. Read the following statements: (i) An unlimited number of lines can be drawn through a point. (ii) Two intersecting lines can have more than one common point. 1.

Which of the following is/are true? a) Only (i) b) only (ii) c) both (i) and (ii) d) neither (i) nor (ii)

e) none

A point is 4 units away from X- axis and 3 units away from Y- axis. Then the point is__. a) (3, 4) b) (4,3) c) (5, 1) d) (7, 0) e) none

Find the value of â&#x20AC;&#x2DC;pâ&#x20AC;&#x2122; in the following diagram.

a) 5 4.

b) 5.2

c) 6

d) 2.66

Slope of two points (3, 4) and (5, k) is 1. Find the value of k. a) 7 b) 2 c) 6 d) 4

e) none

e) 1

A point (5,3) is moved 2 units away from X-axis, then the resulting point is___. a) (7, 3) b) (5, 5) c) (7, 5) d) (5, 3) e) none If ( ( , ) = (5, 3), then find ( , ). a) (3, 3) b) (5, 3) c) (4, 1)

d) (5, 5)

e) (1, 4)

Two ends of a diagonal of a square are (1, 1) & (5, 5). The other diagonal passes through the point is_____. a) (1, 1) b) (5, 5) c) (3, 3) d) (1, 5) e) cannot be determined

10.

11.

12.

What is y-coordinate of a point P which lies on X-axis? a) 1 b) 2 c) 3

d) 0

e) 1

If the perpendicular distance of a point â&#x20AC;&#x2DC;Pâ&#x20AC;&#x2122; from the X-axis is 3 units along the negative direction of the Y-axis then which of the following is true? a) x-coordinate = 3 b) x-coordinate = 3 c) y-coordinate = 3 d) y-coordinate = 3 e) none If , belongs to Q1, then , belongs to which of the following quadrant? a) Q1 b) Q2 c) Q4 d Q3 e) none Points lying on the same line are called as____. a) similar points b) same lines point d) collinear points e) none

c)non linear points

If a point lies below the origin on Y-axis then its x-coordinate is__. a) positive b) negative c) zero d) even number

e) none

13.

If a line does not intersect with Y- axis then the angle made by the line with X-axis is a) 0 b) 180 c) 900 d) 45 e) none

14.

If a line passes through the origin then its y-intercept is__. a) 3 b) 0 c) 2 d) 1

15.

How many points lie on a straight line? a) 2

16.

18.

b) 1

c) infinite

d) 0

In the line segment AD, the length of AC = 7cm, the length of BD = 9cm and 2AB = CD. Find the length of BC.

a) 3 cm 17.

e) none

b) 5 cm

c) 2 cm

d) 7 cm

What is the shortest distance between X- axis and Y- axis? a) 0 b) 15 units c) 90 units d) not defined

e) none

Find the area of the triangle formed by the orign and two vertices (2, 0) (0, 2). a) 4 sq.units b) 8 sq.units c) 1 sq.unit d) 2 sq.units e) 3 sq.units

19.

20.

What is the y-intercept of the line 3 2 + 4 = 0? a) 1 b) 2 c) 3

d) 4

If the points P (1, 2), Q (3, 2) and R (5, k) are collinear points then find k. a) 1 b) 2 c) 3 d) 4

e) 5

e) 8

NOTES

BASIC MATH TRAINING MENSURATION Directions for questions 1 to 25: Select the correct alternative from the given choices. 1.

A cube has ______edges. a) 8 b) 16

c) 12

d) 10

Find the perimeter of an equilateral triangle whose side is 3 cm. a) 27cm b) 6 cm c) 9 cm d) 3 cm What is the perimeter of a circle whose radius is 3 cm? a) |2 cm b) 2 | cm c) 2 cm

d) 6 cm

e) 6

e) 4cm

e) none

If the dimensions of a rectangular room are 4 meters, 3 meters and 5meters respectively, find the total area of four walls. a) 70 sq.m b) 94 sq.m c) 60 sq.m d) 75 sq.m e) 65 sq.m

What is the perimeter of semicircle whose radius is 2cm? a) | cm b) 2 cm c) (2 ( 2) cm d) (2 ( 4 cm

If the area of a square is p square units then its side is____. a) p2 units

" 4

units

c) 2p units

d) p+4 units

e) none

e) $ units

Area of a rectangle is 24 cm2 and its length is 6 cm. Find the breadth of the rectangle. a) 4 cm b) 30 cm c) 18 cm d) 15 cm e) none

The dimensions of a tank are in the ratio of 1:2:4. Its volume is 64 m3. Find the longest side of the tank. a) 8m b) 2m c) 4m d) 1m e) none

Area of a circle is 16 sq units, then find its radius. a) 4 units b) 16 units c) 2 units

d) 8 units

e) none

10.

The area of the rhombus is 16 cm2. One of its diagonals is 8cm long. Find the length of the other diagonal. a) 8cm b) 4cm c) 12cm d) 16 cm e) none

11.

In a trapezium, two opposite parallel sides are 5 cm and 7 cm. The area of trapezium is 18 cm2. Find the distance between the parallel sides. a) 2 cm b) 4 cm c) 8 cm d) 5 cm e) 3 cm

12.

Smith purchased a rectangular plot whose area is 60m2 and length is 12 m then find its breadth. a) 12 m b) 15 m c) 10 m d) 5 m e) 13 m

13.

Jack purchased a rectangular plot whose dimensions are 10 m and 25 m. What is the cost of fencing the plot, if it costs Rs.2 per meter? a) Rs.250 b) Rs.70 c) Rs.100 d) Rs.140 e) Rs. 500

14.

The length and breadth of a rectangle are in the ratio of 5:2. If the length of the rectangle is 15meters. Find its area in square meters. a) 10 sq.m b) 30 sq.m c) 90 sq.m d) 75 sq.m e) none.

15.

In a square the length of diagonal is 5√2 cm. Find the area of the square. b) 15cm c) 25 cm d) 50 cm a) 20 cm

16.

e) none

The area of a rhombus is 100 cm and one of its diagonals is 10cm long, then find the length of other diagonal. a) 10 cm b) 5cm c) 20 cm d) 15 cm e) 25 cm

17.

The radius of a circle is 18 cm. Find the length of the arc of a sector which subtends an angle 60° at the centre of the circle. a) 6 cm b) 18 cm c) 4 cm d) 10 cm e) 12 cm

18.

If the radius of a cylinder is 3 cm and its height is 3cm then find the volume. a) 3 cm3 b) cm3 c) 9 cm3 d) 27 cm3

e) 36 cm3

What is the circumference of a circle whose area is 4 J/. H? a) 2 cm b) cm c) 4 cm d) 10 cm

e) 8 cm

19.

20.

If the areas of square and a circle are equal, then the ratio of side of the square to radius of the circle is______. a) 22:7

b) 7:22

c) √22 B √7

d) √7 B √22

e) none

21.

Find the area of the shaded region.

a) 12 m

b) 8 m

c) 14 m

d) 10 m

e) 16 m

22.

Find the area of rectangle whose perimeter is 18cm and the length is twice its breadth. b) 28 cm2 c) 6 cm2 d) 24 cm2 e) 18 cm2 a) 7 cm2

23.

A path of 2 meters wide runs around and out side a rectangular plot of 6 meters and 4 meters. Find the area of the path. a) 24 m b) 34 m c) 70 m d) 56 m e) 48 m

24.

In the following figure, ABCD is a rectangle and the point P lies on the side CD. If AB=8 cm and AC=4 cm then find the area of triangle APB.

a) 10 cm2 25.

b) 16 cm2

c) 32 cm2

d) 4 cm2 e) cannot be determined

What is the area of the triangle (in sq.units), If both base and height are equal to p units? a)

b) 2$

c) p2

d) p+8

e) p 3

NOTES

BASIC MATH TRAINING DATA INTERPRETATION Directions for questions 1 to 45: Select the correct alternative from the given choices. Direction for questions 1-3: refer to the following graph. 1980 1981 1982 1983 1984 = 10000 cars

1. 2. 3.

= 5000 cars

How many cars are produced in the year 1981? a) 40000 b) 45000 c) 50000

d) 55000

The increased production of cars from 1982 to 1983 is_______. a) 20000 b) 10000 c) 15000 d) 25000

e) None e) 50000

What is the percentage of increase in the number of cars produced from 1983 to 1984? a) 25% b) 20% c) 23% d) 30% e) 15%

Direction for questions 4-6: refer to the following graph. Population of a village X from 2001 to 2004. 2001

2002

2003

2004

1000 people in a village

Total number of people in 2004 is_______. a) 6000 b) 5000 c) 4000

d) 7000

Which of the following is true? i) The number of people in 2001 & 2003 are equal. ii) There is continuous growth in the number of people from 2001 to 2004. iii) In 2005 the number people is greater than 1000. a) Only (ii) b) only (i) c) only (i) and (ii) d) All (i), (ii) and (iii) e) only (i) and (iii)

What is the difference between number of people in 2002 and 2003? a) 1000 b) -1000 c) 2000 d) 3000 e) Cannot be determined

e) 5500

Directions for Questions 7 to 9: Refer to following graph. Number of defective bulbs observed by a company XYZ from 1980 to1984. 1980 1981 1982 1983 1984

---- 10000 bulbs by a XYZ company 7.

Which of the following is/are true? (i)From 1980 to 1984, there is a continuous decrease in the total number of defective bulbs. (ii)From 1980 to 1984, there is a continuous percentage decrease in the total number of defective bulbs. a) only (i) b) only (ii) c) Both (i) and (ii) d) neither (i) nor (ii) e) Cannot say

The total number of defective bulbs produced by XYZ company is _________. a) 130000 b) 140000 c) 135000 d) 120000 e) 150000

If total number of bulbs produced in the year 1982 is one lakh, then find the number non-defective bulbs. a) 30000 b) 100000 c) 40000 d) 70000 e) 50000

Directions for Questions 10 to 13: Refer to following graph.

Employees in I.T. sector 15 10 5 4

1.6

Maha rastra

Assam

Bihar

11.5

Andhra Pradesh

Karnataka

Rajastan

Madhya Pradesh

1cm indicates 10,000 employees in I.T Sector 10.

Which two states have largest and the least number of I.T. employees respectively? a) Bihar,Andhra Pradesh b) Karnataka,Assam c) Bihar,M.P d) Karnataka,Bihar e) Bihar,Assam

11.

What is the rank of Andhra Pradesh in the number of I.T. employees? a) 1 b) 2 c) 3 d) 4

e) 5

How many I.T employees are there in Bihar? a) 16,000 b) 30,000 c) 40,000

e) 20,000

Rice producution in tons

12.

d) 10,000

180 160 140 120 100 80 60 40 20 0 80 -81

81 - 82

82 - 83

83 - 84 years

84 - 85

85 - 86

86 - 87

Directions for Questions 13 to 15: Refer to above graph. Production of rice In a state over a period of 1980 - 81 to 1986 â&#x20AC;&#x201C; 87.

13.

In which year there is a fall in rice production when compared to previous year? a) 1982 – 1983 b) 1983 -1984 c) 1984 –19 85 d) 1986 -987 e) 1985 – 1986

14.

In which year there is maximum increase in rice production when compared to previous year? a) 1981 – 1982 b) 1985 -1986 c) 1986 –19 87 d) 1984 -985 e) 1985 – 1986

15.

(i) The food production in 87-88 is greater than that in1986-1987. (ii) The food production in 1979-1980 is less than that in1980-1981. Which of the following is true ? a) Only (i) b) only (ii) c) Both (i) and (ii) d) None

e) cannot say

Directions for Questions 16 to 18: Refer to following graph. Production of bikes and cars during 1998-2002 8 7 7

6.5 6

6 6 5 5 4

4 3 3

3 2.5

2 1 0 1998

16.

17.

1999

2000

2001

2002

In which year the number of bikes produced is less than that of cars? a) 1998 b) 1999 c) 2000 d) 2001

d) 2002

In which year the average production of bikes and cars is maximum? a) 1998 b) 1999 c) 2000 d) 2001

e) 2002

18.

What is the average number of bikes produced including all years? a) 4.9 b) 5 c) 4 d) 5.1

e) 4.1

Directions for Questions 19 to 21: Refer to following Pie Chart. The following ie chart shows the statistics of investments of a company.

19.

In which area the company has invested large amount of money when compared with other sector? a) Housing b) Infrastructure c) Shares d) Takeoverâ&#x20AC;&#x2122;s e) Investment in new plans

20.

If the company invested 10 lakhs in infrastructer what amount the company has invested in take overs? a) 20 lakhs b) 40 lakhs c) 30 lakhs d) 35 lakhs e) 25 lakhs

21.

In which scheme the company has invested minimum amount of money? a) Others b) Infrastructure c) Housing d) Takeovers

e) shares

Directions for Questions 22 to 24: Refer to following Pie Chart. The following pie chart shows the number of people participated in math olympiod.

22.

Maximum number of people participated from the country_________. a) India b) USA c) Egypt d) UK

e) Japan

23.

Rank of Egypt in terms of the number of persons participated in Math Olympiad is ______. a) 7 b) 2 c) 3 d) 4 e) 5 24. Equal number of people participated from the countries________. a) USA,UK b) China, Japan c) USA,Japan d) Egypt,India e) China,USA Directions for Questions 25 to 27: Refer to following graph.

The above Pie Chart shows the expenditure of a family. 25.

If the family earns Rs.20,000 per month then what is the amount they spend on food and fuel? a) Rs.3400 b) Rs.2600 c) Rs.6800 d) Rs. 5200 e) Rs.4000

26.

If the family earns Rs.20,000 per month then how much amount can it save in 5 months? a) Rs.10, 000 b) Rs.15, 000 c) Rs.20, 000 d) Rs. 12,000 e) Rs. 14,000

27.

On which of the following, the family spent maximum amount? a) Education b) Savings c) Clothing d) Food and Fuel

Directions for Questions 28 to 30: Refer to following graph. The following table shows the number of runs made by different players. Players Yuvaraj Singh Sachin Dravid Sehwag Tendulkar

e) Others

Dhoni

Opposite team

Pakistan Australia Newzealand Srilanka South Africa 28.

2000 1700 1500 2600 1100

3500 2000 2600 3200 1200

2200 2800 1800 2100 2200

Who scored highest number of runs against Australia? a) Sachin b) Yuvaraj Singh c) Dravid

2800 1400 2400 3000 1300

d) Dhoni

2600 1700 2000 3600 2400

e) Sehwag

29.

Who scored highest number of runs in maximum number of times? a) Yuvaraj Singh b) Sachin Tendulkar c) Dravid d) Sehwag

30.

e) none

Find the difference between highest personal score and the least personal score of the players? a) 2000 b) 3000 c) 2000 d) 1000 e) 3600

Direction for questions 31-33: Refer to following graph. The following table shows the population of different states(in lakhs). state year 1960 1970 1980 1990 2000 31.

32.

33.

Gujarat

Andhra Pradesh 25 32 45 90 160

27 44 66 100 180

Madhya Pradesh 22 30 40 89 170

Uttar Pradesh 16 24 36 76 150

Karnataka

Tamilnadu

18 33 46 92 90

22 36 48 108 190

How many states have gradual increase in their population ? a) 6 b) 3 c) 5 d) 4

e) 1

Which state has highest population in the year 1990 ? a) Gujarat b) A.P c) M.P

e) Tamilnadu

d) U.P

What is the difference between the highest population and lowest population in the year 2000 (in lakhs)? a) 90 b) 20 c) 100 d) 80 e) 110

Directions for Questions 34-36: Refer to following graph. The following graph shows the ratio of imports to exports of India from 1995 to 2000. 1.4 1.2 1 0.8 0.6 0.4 0.2 0 1995

1996

1997

1998

1999

2000

34.

In how many years, imports are less than exports? a) 1 b) 2 c) 3

35.

d) 4

e) 5

In which year the imports were minimum when compared to the exports? a) 1995 b) 1996 c) 1997 d) 1998

36.

e) 1999

If the imports are 100 crores in the year 1998 then find the exports approximately(in crores). a) 95 b) 100 c) 96 d) 91 e) 80

Directions for Questions 37 to 39: Refer to following graph. The following graph shows the number of tenders taken by two companies. 120 100 80 60 40 20 0 1995

1996

1997

1998

1999

2000

37.

What is the diffrence between total number of tenders taken by the two companies? a) 100 b) 110 c) 90 d) 120 e) 130

38.

In which of the following years, the difference between the number of tenders taken by companies is maximum? a) 1995 b) 1996 c) 1997 d) 1998 e) 1999

39.

In which year the total number of tenders is maximum? a) 1996 b) 1997 c) 1998

d) 1999

e) 2000

Directions for Questions 40 to 42: Refer to following graph. The following graph shows the rate of interest offered by two companies.

12 10 8 6

company y company x

4 2 0 2000

2001

2002

2003

2004

2005

2006

40.

In 2005, Jack invested his money in the ratio of 8:9 in companies X and Y respectively. The ratio of interests gained from companies X and Y is_____. a)8:9 b) 9:8 c) 4:3 d) 1:1 e) none

41.

In 2003, David invested 1 lakh in company Y. How much more he would have earned if he had invested in company X? a) Rs.2000 b) Rs.3000 c) Rs.4000 d) Rs.1000 e) Rs.3500

42.

In which of the following year, company X gave maximum rate of interest? a) 2000 b) 2001 c) 2002 d) 2003

e) 2004

NOTES

ANSWER KEY Number Theory: 1. d

2. c

3. d

4. c

5. d

6. d

7. c

8. c

9. d

10. e

11. d

12. e

13. a

14. d

15. d

16. e

17. e

18. d

19. c

20. d

21. b

22. e

23. e

24. d

25. a

26. b

27. c

28. e

29. c

30. e

Percentages Profit and Loss: 1. e

2. d

3. a

4. b

5. c

6. b

7. c

8. b

9. c

10. a

11. c

12. d

13. b

14. c

15. a

16. e

17. e

18. a

19. a

20. b

1. b

2. d

3. e

4. c

5. a

6. b

7. c

8. d

9. a

10. e

11. c

12. d

13. a

14. b

15. a

16. e

17. b

18. b

19. d

20. c

21. a

22. b

23. d

24. b

25. a

26. c

27. b

28. c

29. d

30. d

Simplification:

Sets: 1. c

2. b

3. b

4. c

5. d

6. e

7. a

8. c

9. b

10. b

11. d

12. d

13. b

14. c

15. c

16. d

17. a

18. c

19. d

20. b

Equations in one variable and two varibles: 1. b

2. d

3. c

4. d

5. e

6. a

7. c

8. d

9. c

10. d

11. a

12. b

13. d

14. d

15. a

16. b

17. d

18. c

19. e

20. b

Permutations and Combinations, Probability: 1. b

2. b

3. c

4. d

5. d

6. a

7. d

8. b

9. d

10. a

11. c

12. a

13. c

14. b

15. c

16. d

17. c

18. b

19. c

20. b

21. e

22. e

23. c

24. d

25. b

26. e

27. d

28. b

29. a

30. c

Lines, Angles and Triangles: 1. c

2. b

3. b

4. c

5. b

6. c

7. d

8. e

9. c

10. b

11. c

12. c

13. d

14. d

15. c

16. e

17. d

18. c

19. e

20. b

Quadrilaterals & Circles: 1. b

2. c

3. d

4. a

5. e

6. b

7. d

8. c

9. c

10. b

11. d

12. a

13. b

14. c

15. b

16. b

17. d

18. e

19. c

20. c

21. c

22. e

23. a

24. b

25. c

Co-ordinate Geometry: 1. a

2. a

3. d

4. c

5. b

6. c

7. c

8. d

9. c

10. d

11. d

12. c

13. c

14. b

15. c

16. b

17. a

18. d

19. b

20. b

1. c

2. c

3. d

4. a

5. d

6. e

7. a

8. a

9. a

10. b

11. e

12. d

13. d

14. c

15. c

16. c

17. a

18. d

19. c

20. c

21. d

22. e

23. d

24. b

25. a

Mensuration:

Data Interpretation: 1. b

2. b

3. a

4. a

5. b

6. a

7. a

8. a

9. d

10. d

11. b

12. a

13. a

14. b

15. d

16. d

17. d

18. a

19. e

20. b

21. a

22. a

23. b

24. c

25. c

26. c

27. d

28. c

29. b

30. e

31. c

32. e

33. c

34. c

35. a

36. d

37. d

38. d

39. e

40. d

41. b

42. d