UP POLICE RADIO OPERATOR QUANT QUIZ

Question 1:

$3^{x+y}=81$ और $81^{x-y}=3$ then what is the value of x?

$\frac{17}{16}$

$\frac{17}{8 }$

$\frac{17}{4}$

$\frac{15}{4}$

Question 2:

A and B started a business investing amounts in the ratio of $2: 3 .$ If $A$ has an additional amount of Rs.10,000, their ratio of investment would have been $3: 2$, The amount invested by A was :

8000

12000

18000

20000

Question 3:

Refer to the given figure and answer the question that follows.

If $A B$ is parallel to $E C$ and $\angle B C D=72^{\circ}$, then what is the value of $\angle B A C$ ?

$75^{\circ}$

$73^{\circ}$

$72^{\circ}$

$67^{\circ}$

Question 4:

If two-third of three-fifth of a number is 42 , then find one-third of that number.

40

45

105

35

Question 5:

Shibu purchased a dining table marked at Rs. 4000 at a successive discount of 15% and 20% respectively. He gave Rs. 480 as transportation charge and sold it at Rs. 4200. What is his gain %?

0.2233

0.33

0.3125

None of these.

Question 6:

A train travel a distance of $1800 \mathrm{~km}$ in 5 hour. What is the average speed in meter/ second?

200

20

100

10

Question 7:

The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is :

16

15

14

13

Question 8:

If $x$ is less than $y$ by $25 \%$ then $y$ exceeds $x$ by :

$33 \frac{1}{3} \%$

$25 \%$

$75 \%$

$66 \frac{2}{3}$

Question 9:

What will come in the place of question mark (?) in the given expression?

$4032 \div 14+12^{2}-25 \%$ of $800=?-25 \%$ of 620

273

323

387

423

Question 10:

A and B together can do a piece of work in 12 days, A and C together can do the same work in 15 days. If B and C together can do the same work in 20 days, then in how many days A, B and C together can complete the same work?

8

6

10

9