RRB GROUP D MATHS QUIZ

Question 1:

$40 \%$ of the cost price of an article is equal to $30 \%$ of the selling price of same article. What is the profit percent?

$25 \%$

$30 \%$

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

$37 \frac{1}{2} \%$

Question 2:

$3^{2^{x}}=81^{2^{3 x}}$, then $x$ is equal to

$-1$

$2$

$-2$

$1$

Question 3:

Find the L.C.M. of $\frac{1}{3}, \frac{5}{6}, \frac{2}{9}$ and $\frac{4}{27}$

$\frac{1}{54}$

$\frac{10}{27}$

$\frac{20}{3}$

$\frac{40}{27}$

Question 4:

The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

$\frac{1}{32}$

$\frac{1}{16}$

$\frac{1}{64}$

$\frac{1}{81}$

Question 5:

The sum of the squares of three numbers is 138 , while the sum of their products taken two numbers at a time is 131 . Find the sum of the numbers.

20

30

40

25

Question 6:

Train A takes 50 minutes more than train B to travel a distance of $420 \mathrm{~km}$. Due to engine trouble, speed of train $B$ falls by onethird, So it takes $30 \mathrm{~min}$ more than train A to complete the same journey what is the speed of train A?

$100 \mathrm{~km} / \mathrm{h}$

$120 \mathrm{~km} / \mathrm{h}$

$150 \mathrm{~km} / \mathrm{h}$

$124 \mathrm{~km} / \mathrm{h}$

Question 7:

Abhay borrows Rs. 7200 from Ajay at simple interest at the rate of $7 \%$ per annum. What amount of money (in rupees) should Abhay pay to Ajay after 4 years to clear the debt?

9246

9416

9016

9216

Question 8:

Direction: Following table shows the percentage of boys and difference between the number of boys and the number of girls among the students of six different schools who appeared in board examination in different years.

What is the difference between the total number of students appearing from School B in the year 1987 and that in 1989 ?

17

29

35

None of these

Question 9:

Amit takes 40 minutes more than Ajay to travel a distance of $238 \mathrm{~km}$. Due to some engine breakdown speed of Ajay's car falls by $20 \%$, so he takes 35 minutes more than Amit to complete the same journey. What is speed of Amit (in km/hr)?

51

45

42

36

Question 10:

If $\tan \theta=p/q$, then $\frac{p \sin \theta-q \cos \theta}{p \sin \theta+q \cos \theta}$ is equal to:

$\frac{p^{2}-q^{2}}{p^{2}+q^{2}}$

$\frac{p^{2}-q^{2}}{1 p q}$

$\frac{2 \mathrm{pq}}{\mathrm{p}^{2}-\mathrm{q}^{2}}$

$\frac{p^{2}+q^{2}}{p^{2}-q^{2}}$