UP POLICE CONSTABLE QUANT QUIZ

Question 1:

If $x-5 \sqrt{x}-1=0$, then find $x^{2}+\frac{1}{x^{2}}$ is equal to:

727

731

729

626

Question 2:

SI on a certain sum at $5 \%$ per annum for 2 years Rs 60 . What is the Cl on the same sum for the same period of time

Rs.63.5

Rs.62.5

Rs.65.5

Rs.61.5

Question 3:

Find the value of $a$ and $b$, if $\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a+b \sqrt{3}$?

$a=-11, b=-6$

$a=-11, b=6$

$a=11, b=-6$

$a=6, b=11$

Question 4:

A, B and C started a business. Twice the investment of $A$ is equal to thrice the invesment of B and also five times the investment of $\mathrm{C}$. If total profit after a year is Rs. $15.5$ lakh, then the share of $\mathrm{B}$ in the profit is:

3 lakh

$4.5$ lakh

$7.5 \mathrm{lakh}$

5 lakh

Question 5:

Area bounded by the curve $y^{2}=4 x$ the lines x =0 and y =2 is.

$\frac{1}{3}$ sq. units

$\frac{2}{3}$ sq. units

$\frac{4}{3}$ sq. units

$\frac{5}{3}$ sq. units

Question 6:

The mean of $4^{30}, 4^{60}, 4^{90}$, $4^{99}$ is

$4^{27}+4^{57}+4^{86}+4^{95}$

$4^{29}+4^{59}+4^{89}+4^{98}$

$4^{60}$

$4^{177}$

Question 7:

Mr. Rajesh is twice as good a worker as Mr. Vishal and together they finish a piece of work in 28 days. In how many days will Vishal alone finish the work?

56 days

112 days

84 days

80 days

Question 8:

If $X=\left[\begin{array}{lll}1 & 0 & 2 \\ 5 & 1 & x \\ 1 & 1 & 1\end{array}\right]$ is a singular matrix then $X$ is equal to:

9

3.0

5.0

10.0

Question 9:

What approximate value will come in place of the question mark (?) in the following question?

$\sqrt{360.99}+\sqrt{?}-\sqrt{483.99}=\sqrt{840.98}$

576

625

729

1024

Question 10:

Sum of the intercepts made by the plane $3 x$ $+5 y+6 z=1$ upon the three axes will be:

$\frac{1}{10}$

$\frac{13}{10}$

$\frac{7}{10}$

$\frac{11}{10}$