Quantitative Abilities Quiz for SSC CGL Tier - II Grand Test

1. The average marks of two class A and B is 74, The average marks of class A is 77.5 and that of class B is 70. The ratio of the number of students of class A and B is
(A) 7:8
(B) 7:5
(C) 8:7
(D) 8:5

2. The price of a sugar goes up by 20%. If a housewife wants the expenses on sugar to remain the same, then she should reduce the percentage consumption by ?
(A) 15(1/5)%
(B) 16(2/3)%
(C) 20%
(D) 25%

3. The SP of 10 oranges is equal to the cost price of 13 oranges. Then the profit percentage is?
(A) 30%
(B) 10%
(C) 13%
(D) 3%

4. A sum of money becomes 8 times in 3 years, if the annual rate is compounded. In how much time will the same amount at the same compound rate of interest becomes 16 times?
(A) 6 years
(B) 4 years
(C) 8 years
(D) 5 years

5. 78 is divided into three parts which are in the ratio 1:1/3:1/6then the middle part is?
(A) 9(1/3)
(B) 13
(C) 17(1/3)
(D) 14(1/3)

6. When the price of an article was reduced by 20%, its sales increased by 80%. What was the net effect on sale?
(A) 44% increase
(B) 44% decrease
(C) 66% increase
(D) 75% increase

7. The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is ₹ 48. Then the sum is ?
(A) Rs. 1000
(B) Rs. 1200
(C) Rs. 1500
(D) Rs. 2000

8. The square root of 14+6 √5 is
(A) 2+√5
(B) 3+ √5
(C) 5 +√13
(D) 3+2√5

9. When 231 is divided by 5, the remainder is
(A) 4
(B) 3
(C) 2
(D) 1

Direction (10-14) Study the following table carefully and answer the questions given below.

Classification of 100 students based on the marks obtained by them in physics and chemistry in an exam.

10. Number of students scoring less than 40% marks in aggregate is
(A) 13
(B) 19
(C) 20
(D) 27

11. If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue higher studies in physics?
(A) 27
(B) 32
(C) 34
(D) 41

12. What is the difference between the number of students passed with 30 marks in Chemistry and 30 as cut off in aggregate?
(A) 3
(B) 4
(C) 5
(D) 6

13. The percentage of the number of students getting at least 60% marks in Chemistry over those getting at least 40% marks in aggregate, is approximately?
(A) 21%
(B) 27%
(C) 29%
(D) 31%

14. At least 23 students were eligible for Symposium on chemistry, then the minimum qualifying marks in chemistry for eligibility to symposium would lie in the range?
(A) 40 - 50
(B) 30 - 40
(C) 20 - 30
(D) 20 - 30

Direction (15 - 19) Study the following pie-chart given below and the table and answer the questions based on them. Population of seven towns in 2011.

15. If town X has 12160 people below poverty in 2011, then total population of town S are
(A) 18500
(B) 20500
(C) 22000
(D) 26000

16. Ratio of population of town T ow poverty line to town Z below poverty line in 2011 is
(A) 11:23
(B) 13:11
(C) 23:11
(D) 11:13

17. If the population of town R in 2011 is 32000, then what will be the population of town Y below poverty line in that year?
(A) 14100
(B) 15600
(C) 16500
(D) 17000

18. If in 2012, the population of towns Y and V increase by 10% each and the percentage of population below poverty line remains unchanged for all the towns. Then find the population of town V below poverty in 2012, given that the population of town Y in 2011 was 30000.
(A) 11250
(B) 12760
(C) 13140
(D) 13780

19. If in 2013, the population of town R increase by 10% while population of town Z reduces by 5% compared to that in 2011 and the percentage of the population below poverty line remains unchanged for all the towns. Then ratio of population of town R below poverty line to the ratio of population of town Z below poverty line for the year 2013.
(A) 299 : 399
(B) 272 : 133
(C) 133 : 272
(D) 399 : 299