UP POLICE RADIO OPERATOR QUANT QUIZ

Question 1:

What should come in place of question mark (?) in the following question?

$\sqrt{1296} \times \sqrt{3136}=? \times \sqrt{15876}$

12

14

16

18

Question 2:

A natural number when divided by $9,10,12$ or 15 leaves a remainder of 3 in each case. Which is the smallest number among all such numbers?

123

153

183

63

Question 3:

The diameter of a circle is doubled. By how much does the area increase?

2 times

4 times

8 times

16 times

Question 4:

The capacities of two hemispherical vessels are 6.4 liter and 21.6 liter. What is the ratio of their internal curved surface area accordingly?

$4: 9$

$16: 81$

$\sqrt{2}: \sqrt{3}$

$2: 3$

Question 5:

LCM of $2^{4} \times 4 \times 6$ and $2^{5} \times 6 \times 8$ is

$2^{5} \times 4 \times 6^{2} \times 8$

$2^{5} \times 6 \times 8$

$2^{3} \times 6^{2} \times 8^{2} \times 4$

None of these

Question 6:

Find the least number which is exactly divisible by 18, 45 and 99.

980

990

970

960

Question 7:

Certain sum amount to Rs. 2,960 in 4 years at $12 \%$ per anuum rate of interest. If rate of interest reduces by $25 \%$, in how many years same sum would be Rs. 4,000 ?

$11 \frac{1}{9}$ years

$12$ years

$10$ years

$9 \frac{1}{11}$

Question 8:

A person borrows some money for 5 years and the ratio of the loan amount to total interest amount is $5: 2 .$ Then find the ratio of the loan amount to the interest is equal to:

$2: 25$

$2: 1$

$5: 2$

$25: 2$

Question 9:

Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was Rs. 6,750, then what would be the total amount of money collected by Secondary and Sr. Secondary classes?

Rs. 9,675

Rs. 11,700

Rs. 9,450

Rs. 12,825

Question 10:

If the price of sugar first increased by $12 \frac{1}{2} \%$, then consumption is decreased by $11 \frac{1}{9} \%$. Find the percent change in expenditure.

1% increase

1% decrease

2% decrease

no change