SSC CPO QUANT REVISION BOOSTER QUIZ-6

Question 1:

Eight years ago, the average age of a family of 4 persons was 19 years. A baby girl is a new addition to the family and now the average age of the family is 4 years more than it was 8 years ago. How old is baby girl?

6 years

7 years

3 years

5 years

Question 2:

Find the volume of a cone the radius of whose base is $18 \mathrm{~cm}$ and its height is $35 \mathrm{~cm} .\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

$35460 \mathrm{~cm}^3$

$10880 \mathrm{~cm}^3$

$35880 \mathrm{~cm}^3$

$11880 \mathrm{~cm}^3$

Question 3:

If 40 % of a number is added to 165 , then the result will be the number itself. Find that number.

225

250

284

275

Question 4:

If $\mathrm{P}$ earns $33 \frac{1}{3} \%$ less than $\mathrm{Q}$, then how much percent does $\mathrm{Q}$ earn more than $\mathrm{P}$ ?

50 %

60 %

28 %

45 %

Question 5:

Two cyclists start from the same place in opposite directions. One goes towards north at a speed of 14 km/hr and the other goes towards south at a speed of 24 km/hr. What time will they take to be 47.5 km apart ?

$1 \frac{1}{4} h r$

$1 \frac{2}{3} h r$

$1 \frac{1}{3} h r$

$1 \mathrm{hr}$

Question 6:

Let x be the greatest 4-digit number which when divided by 9,12,15,20,24 and 72 , leaves a remainder 3 in each case. What is the sum of the digits of x ?

17

21

27

19

Question 7:

A square piece of cloth has an area of $841 \mathrm{~cm}^2$. What is the length of each of its diagonal?

$28 \sqrt{2}$

$58$

$29 \sqrt{2}$

$29$

Question 8:

If an eleven-digit number $12389x6378y$ is divisible by 72 , then the value of $\sqrt{7 x+7 y}$ is:

8

6

7

9

Question 9:

The area of a triangular field whose sides are $96 \mathrm{~m}, 110 \mathrm{~m}$ and $146 \mathrm{~m}$ is equal to the area of a square field. What is the side (in $m$ ) of the square field?

$4 \sqrt{330}$

$\sqrt{660}$

$\sqrt{330}$

$2 \sqrt{660}$

Question 10:

The simple interest on a certain sum at $r \%$ p.a. is $\frac{4}{25}$ of the sum in $r$ years. What is the value of $r$ ?

8

6

5

4