RRB GROUP D QUANT QUIZ

Question 1:

Which of the following should be assessed in a student?

Mathematical communication

Capacity to memorize without understanding

Capacity to listen to teacher

Attitude of not asking questions even if the concept is not understood

Question 2:

Solve the following expression:

$ \frac{80 \div[(18-6) \div\{4 \div 8 \times 7 \div 56\}+7]}{7+4 \times 20 \div 8 of 5-8} $

4

8

6

9

Question 3:

If cos x = 1/3 , then what is $sinx × cotx × cosecx × tanx$ equal to ?

4

0

2

1

Question 4:

Find $\max ^{m}$ value of $\sin ^{4} \theta \cdot \cos ^{4} \theta$?

$\frac{1}{8}$

2

$\frac{1}{\sqrt{16}}$

$\frac{-1}{8}$

Question 5:

Find the value of $\int \frac{d x}{\tan x+\cot x}$

$\frac{\cos 2 x}{4}+c$

$\frac{\sin 2 x}{4}+c$

$\frac{-\sin 2 x}{4}+c$

$-\frac{\cos 2 x}{4}+c$

Question 6:

To cover a distance of $297 \mathrm{~km}$ in $4.4$ hour what should be the average speed of the car in meter/second?

$37.5 \mathrm{~m} / \mathrm{s}$

$67.5 \mathrm{~m} / \mathrm{s}$

$18.75 \mathrm{~m} / \mathrm{s}$

$33.75 \mathrm{~m} / \mathrm{s}$

Question 7:

If $\Delta=\left|\begin{array}{lll}a-b+c & a+b-c & a-b-c \\ b-c+a & b+c-a & b-c-a \\ c-a+b & c+a-b & c-a-b\end{array}\right|$ and $a>0, b>0, c>0$ not all equal and $\Delta=0$ then

$a^{3}+b^{3}+c^{3}=3 a b c$

$a^{3}+b^{3}+c^{3}=a b c$

$2 a^{3}+b^{3}+c^{3}=3 a b c$

$a^{3}+2 b^{3}+3 c^{3}=a b c$

Question 8:

A sum of money lend out at compound interest increases in value by $50 \%$ in 5 yrs. A person wants to lend three different sums $x, y$ and $z$ for 10,15 and 20 yrs respectively, at the above rate in such a way that he gets back equal sums at the end of their respective time periods. The ratio of $x: y: z$ is:

$6: 4: 9$

$9: 4: 6$

$6: 9: 4$

$9: 6: 4$

Question 9:

The given table represents the number of engineers recruited by four companies $\mathbf{A}, \mathbf{B}, \mathbf{C}$ and $\mathbf{D}$ over the years. Study the table carefully and answer the question that follows.

The number of the years in which the number of engineers recruited by company $D$ is less than the average number of engineers recruited by $B$ in the given six years is:

3

1

2

4

Question 10:

If $x=10+2 \sqrt{21}$. Find the value of $\sqrt{x}$?

$7+\sqrt{3}$

$\sqrt{7}+3$

$\sqrt{7}-\sqrt{3}$

$\sqrt{7}+\sqrt{3}$