# SSC CPO Quantitative Aptitude Quiz 3

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# SSC CPO Quantitative Aptitude Quiz 3

### Introduction

What is Quantitative Aptitude test?
Quantitative Aptitude is one of the prominent competitive aptitude subjects which evaluates numerical ability and problem solving skills of candidates. This test forms the major part of a number of important entrance and recruitment exams for different fields. The Quantitative Aptitude section primarily has questions related to the Simplification, Numbering Series, and Compound Interest, etc.

A candidate with quantitative aptitude knowledge will be in a better position to analyse and make sense of the given data. Quantitative Aptitude knowledge is an important measure for a prospective business executive’s abilities.

The article SSC CPO Quantitative Aptitude Quiz 3 provides Quantitative Aptitude questions with answers useful to the candidates preparing for Competitive exams, Entrance exams, Interviews etc. The article SSC CPO Quantitative Aptitude Quiz 3 will assist the students to know the expected questions from Quantitative Aptitude.

### Quiz

1. Find the average of the first 20 natural numbers?

A. 10
B. 11.5
C. 12
D. 10.5

Explanation:
Average of the first ‘n’ natural numbers = (n + 1)/2
We get $$\frac {(20 + 1)}{2}$$ = 10.5

2. The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?

A. 46
B. 32

C. 68

D. 51

Explanation:
Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 – 780 = 46.

3. A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?

A. 17

B. 29

C. 18

D. 19

Explanation:
Let the average after the 16th inning be P.
So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64 = 16P => P = 19

4. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?

A. 50
B. 47.5
C. 59
D. 52.5

Explanation:
∵Let after x hours the second train will meet the first train.
Sum of the marks for the class of 30 students = 30 * 40 = 1200
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 80 students =
1200 + 3000 = 4200
Average marks of all the students = $$\frac {4200}{80}$$ = 52.5

5. The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?

A. 3000
B. 2500
C. 4500
D. 5000

Explanation:
Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 —-(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8500 = 34000 —-(2)
(2)-(1) i.e. May – Jan = 2000
Salary of May is Rs.6500
Salary of January = Rs.4500

1. A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

A. 150
B. 200
C. 250

D. 275

Explanation:
30% ———— 50
45% ———— 25
———————-
15% ————- 75
30% ————– ?
150 + 50 = 200 Marks

2. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

A. 38 liters
B. 40 liters
C. 38.5 liters
D. 2 liters

Explanation:
95% ———– 38
5% ———— ? => 2 liters

3. The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?

A. 60%

B. 50%

C. 45%

D. 40%

Explanation:

Male = 45,000* $$\frac {5}{9}$$ = 25,000
Female = 45,000* $$\frac {4}{9}$$ = 20,000
Married Male = 25,000* $$\frac {40}{100}$$ = 10,000
Married Female = 10,000
20,000 ———— 10,000
100 ————- ? => 50%

4. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

A. 90% increase
B. 45% increase
C. 9% decrease
D. Same as before

Explanation:

$$\frac {(30 * 30)}{100}$$ = 9% decrease

5. A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?

A. Rs.900

B. Rs.800
C. Rs.500

D. Rs.1000

Explanation:
X *$$\frac {4}{5}$$ *$$\frac {80}{100}$$ = 576
X = 14400/16
X = 900

1. Find the one which does not belong to that group ?

A. 3

B. 4
C. 5
D. 9

Explanation:
3, 5, 9 and 7 are odd numbers, but not 4.

2. Find the one which does not belong to that group ?

A. 27
B. 37
C. 47
D. 67

Explanation:
37, 47, 67 and 17 are prime numbers but not 27

3. Find the one which does not belong to that group ?

A. 16

B. 28
C. 36
D. 64

Explanation:
16, 36, 64 and 4 are perfect squares but not 28

4. Find the one which does not belong to that group ?

A. 41
B. 43
C. 53
D. 57

Explanation:

41, 43, 47 and 53 are prime numbers, but not 57.

5. Find the one which does not belong to that group ?

A. 36

B. 49
C. 64
D. 81

Explanation:

36 = $${6}^{2}$$, 49 = $${7}^{2}$$, 64 = $${8}^{2}$$, 81 = $${9}^{2}$$ and 100 = $${10}^{2}$$.

36, 64, 81 and 100 are squares of composite numbers, but not 49.