MOCK TEST
1
SSC CGL TIER- I MATHS 01. A librarian purchased 60 story books for his library but he found that he could get 4 extra books by spending Rs. 336 more and then the overall average price per book reduces by Re 1. The previous average price of each book was a) Rs. 84 b) Rs. 83 c) Rs. 68 d) Rs. 100
And. (d) Sol. Let the previous average price be x. A.T.Q 60x+336=(x-1)64 60x+336=64x-64 4x=400 x=100 02. A jar contained a mixture of two liquids A and B in the ratio of 4:1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar, this ratio becomes 2:3. The initial quantity of liquid A contained in the jar was a) 4 litres b) 8 litres c) 16 litres d) 40 litres
Ans. (d) Sol . Let the initial quantity of liquids A and B in the jar be 4x and x litres respectively After taking out 10 litres of the mixture Liquid A 4 4x- ×10= 4x-8 litres 5 Liquid B
price and sells 80% of the remaining oranges at half of the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is a) 80 b) 84 c) 94 d) 96
Ans. (b) Sol . Let the number of oranges bought be 100 Let the C.P of hundred oranges be ` 100 S.P of 40 oranges = ` 100
100-40 ×100 =150% 40 Remaining oranges = 60 Gain percent =
80% of the remaining oranges =
60×80 =48 100
These are sold at a profit of 75%
48×175 =84 100 Gain per cent = 84% Their S.P. =
04. A shopkeeper purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs were broken on the way. In order to make a gain of 20%, he must sell the remaining eggs at the rate of a) Rs.22.50 per dozen b) Rs.25.50 per dozen c) Rs.26 per dozen d) Rs.26.50 per dozen
Ans. (b) Sol. 12 eggs = Rs. 20
1 4x- ×10= 4x-2 litres 5 After pouring 10 litres of liquid B
×42.5
×42.5
510 eggs Rs. 850 30 eggs were broken . so 480eggs 850×120/100=1020
4x-8 2 = 4x-2+10 3 = 12x-24=8x+16
1egg=
40 =10 4 Quantity of liquid A = 4x = 4×10=40 litres
1020 480
= x=
12eggs =
03. A fruit-seller buys some oranges and by selling 40% of them he realises the cost price of all the oranges. As the oranges begin to over-ripe, he reduces the
1020 ×12=25.50 480
05. A person on retirement gets Rs. 3,20,000 from his gratuity and P.F. He wants to invest this amount in post office and bank in such a way that he earns a total interest of Rs. 27,600 every year. If the annual
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