UP POLICE CONSTABLE MATHS QUIZ-10

Question 1:

Out of his total income, Mr. Kapur spends $20 \%$ on house rent and $70 \%$ of the rest on household expenses. If he saves Rs. 1,800, what is his total income (in rupess)?

7,800

7,000

8,000

7,500

Question 2:

If the sum of the squares of two positive numbers is 2426 and the square root of one number is 7 , then the other number is:

6

4

5

8

Question 3:

The value of $\frac{3}{7}+\frac{1}{14} \times 2 \frac{4}{5}-\left(\frac{1}{4} \div \frac{2}{7}\right.$ of $\left.2 \frac{1}{3}\right) \times\left(5 \frac{1}{5} \div 3 \frac{1}{2} \times \frac{5}{13}\right)$ is:

$\frac{22}{35}$

$\frac{3}{14}$

$\frac{14}{21}$

$\frac{29}{70}$

Question 4:

The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is

165 runs

170 runs

172 runs

174 runs

Question 5:

The market price of an article is Rs. 400. After allowing a discount of 20% on the marked price, a shopkeeper makes a profit of Rs. 48. His gain percentage is:

$15 \frac{11}{17}$

$19 \frac{11}{17}$

$17 \frac{11}{17}$

$14 \frac{11}{17}$

Question 6:

What is the difference (in Rs.) between the compound interest, when interest is compounded 6-monthly, and the simple interest on a sum of Rs. 20,000 for $1 \frac{1}{2}$ year at $10 \%$ p.a?

$76.25$

$91.5$

87

$152.5$

Question 7:

The monthly income of A and B are in the ratio of 3: 4 respectively and the monthly saving of A, B, and C are in the ratio of 4: 5: 6 respectively. The monthly expenditure of A is Rs. 3000 less than that of C and the monthly expenditures of B is Rs. 1500 more than that of A. Every month, C spends Rs. 6000 then how much money does he save?

Rs 8000

Rs 9000

Rs 10000

Rs 12000

Question 8:

$A, B$ and $C$ together can complete a piece of work in 45 days. If only $A$ and $B$ did the work, they would have taken 54 days to do the work and if only B and $C$ did the work, they would have taken 90 days to complete the work. If B worked alone, in how many days did he complete the work?

145

135

125

130

Question 9:

A man can row a distance of 1800 meters against the stream in 24 minutes and returns to the starting point in 18 minutes. How much time it will take to cover $147 \mathrm{~km}$ in still water?

14 hours

24 hours

18 hours

28 hours

Question 10:

A square and an equilateral triangle are formed on the same base. The ratio of their areas is-

$2: 1$

$1: 1$

$\sqrt{3}: 4$

$4: \sqrt{3}$