UP CONSTABLE QUANT QUIZ-7

Question 1:

if $(\sqrt{3})^{7} \div(\sqrt{3})^{5}=3^{p}$ then the value of $p$ is:

3

2

4

1

Question 2:

The length of a rectangle is twice its breath and the perimeter of the rectangle is $294 \mathrm{~cm}$ then find area of the rectangle.

$4802 \mathrm{~cm}^{2}$

$2897 \mathrm{~cm}^{2}$

$2804 \mathrm{~cm}^{2}$

$4805 \mathrm{~cm}^{2}$

Question 3:

HCF and LCM of two numbers are in the ratio $4: 24$. If LCM is 768 then find HCF of the number.

128

640

750

176

Question 4:

18 articles were sold at an average price of Rs. 15 . The cost price of 12 articles was Rs. 16 each. Find the cost price of each of the remaining 6 articles if there was no profit/loss in the transaction.

Rs. 12

Rs. $12.5$

Rs. 13

Rs. $13.5$

Question 5:

A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?

8

10

12

14

Question 6:

Marked price of an article is Rs.1600. If marked price is $20 \%$ more than cost price and there is $10 \%$ discount on selling then find cost price of article.

Rs. 1200

Rs. 1500

Rs.600

Rs.550

Question 7:

A $160 \mathrm{~m}$ long train Delhi Tejas Express crosses a $410 \mathrm{~m}$ long bridge in 45 seconds. What time will it take to cross a platform of $600 \mathrm{~m}$ long?

$30 \mathrm{~sec}$

$1 \mathrm{~min}$

$2 \mathrm{~min}$

None of these

Question 8:

If 20% of P = 30% of Q and Q= y% of P, then the value of y is:

$66 \frac{2}{3}$

$33 \frac{1}{3}$

$100$

$25$

Question 9:

Find the difference between the compound and simple interest on a principal of Rs. 2,000 for 3 years at an annual interest rate of $10 \%$.

Rs. 60

Rs. 62

Rs. 64

Rs. 66

Question 10:

A person spends some part of his monthly income and saves the rest. The ratio of his expenditure and savings is $45: 4$. If his income is Rs. 25,480 then what is the amount of his monthly expenditure?

Rs. 23,400

Rs.20,000

Rs. 20,250

Rs.21,600