Quant Quiz for SSC and FCI 2015

1.In a test consisting 75 questions carrying one mark each Anil answered 75% of the first 40 questions correctly. What approximate percent of the other 35  questions does he need to answer correctly to score 80% on the entire test.

(a)90

(b)86

(c)70

(d)65

2.If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%. The result fraction is 9/10. The original fraction is

(a)27/40

(b)5/7

(c)3/5

(d)3/4

3.The ratio of the number of students in schools X, Y and Z is 6 : 8 : 7 respectively. If the number of students is increased by 20%, 25% and 20% respectively, then the new ratio will be

(a)18 : 25 : 21

(b)12 : 13 : 7

(c)6 : 10 : 7

(d)None

4.The mean of the marks obtained by 100 students is 60. If the marks obtained by one of the students was incorrectly calculated as 82, whereas the actual marks obtained by him was 72. What is the correct mean.

(a)59.9

(b)61

(c)60.1

(d)None

5.A, B and C started a business. A invested Rs. 25 lakh and then 10 L after one year. B paid Rs. 35 Lakh and then after 2 years he took out. Rs. 10 lakh. C invested Rs. 30 lakh. What be their proportion of share after 3 years?

(a)19 : 19 : 18

(b)10 : 10 : 9

(c)11 : 10 : 9

(d)16 : 13 : 8

6.Eleven players of a team has average age of 23 years. Among them, the average age of 3 different group of 3 players each is 21 years, 24 years and 26 years respectively. These groups does not include captain and wicket keeper. If captain is 8 years older then wicket keeper, then age of captain is

(a)20 yrs.

(b)23 yrs.

(c)26 yrs.

(d)24 yrs.

7.A sum of money is divided among P, Q, R, S in the ratio of 3 : 7 : 9 : 13 respectively. If the share of P and R together is Rs. 16440, then what is the difference between the amounts of Q and S.

(a)Rs. 9460

(b)Rs. 8220

(c)Rs. 27400

(d)Rs. 10580

8.A shopkeeper sells 250 mere of cloth for Rs. 9000 at a profit of Rs. 6 per metre. The cost price per metre of cloth is

(a)Rs. 50

(b)Rs. 60

(c)Rs. 30

(d)Rs. 36

9.The total of the ages of a class of 75 girls is 1650 years the average age of 25 of them is 24 years and that of another 25 is 20 years. Find the average age of remaining girls.

(a)21 years 

(b)22 years

(c)26 years

(d)None

10.In 2009, cost of material : labour : overheads for a car was 5 : 4 : 3, but in 2010, cost of material increased by 16%, labor increased by 10% while overheads reduced by 8%. What is increased percent in price of  car?

(a)6%

(b)7%

(c)8%

(d)10%

Answers and Solution:
1.(b)
75% * 40 + x% * 35 = 80% * 75
=> x = 86

2.(d)
3.(a)
4.(a)
correct mean = 60 - (82-72)/100 = 59.9

5.(a)
A's MEI = (25*1+35*2) = 95
B's MEI = (35*2+25*1) = 95
C's MEI = (30*3) = 90
proportion of share = 95 : 95: 90 = 19 : 19 : 18

6.(d)
7.(b)
(3x+9x) = 16440
=> x = 16440/12
difference of Q and S = 13x-7x = 6x = 6*16440/12 = 8220

8.(c)
9.(b)
Let the average rest 25 girls = x, then
Total ages of 75 girls = 1650 = 25*24+25*20+25*x
x = 22
10.(c)