SSC CGL MATHS QUIZ-45

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Question 1:

Two trains of same length but different speeds passes a pole in $5 \mathrm{sec}$ and $6 \mathrm{sec}$ respectively. In what time will they cross each other if they are moving in same direction? (in seconds)

Question 2:

Simplify: $\sqrt[3]{-4913} \times \sqrt[3]{1728} \div \sqrt[3]{\frac{-2744}{9261}}$

Question 3:

The amount received in 3 years on a sum invested at compound interest is ₹ 7,800 and the amount received in 5 years is ₹ 11,232. Find the percentage of interest rate.

Question 4:

An article is listed at Rs 900 and two successive discounts of $7.5 \%$ and $7.5 \%$ are given on it. How much would the seller gain or lose, if he gives a single discount of $15 \%$ instead of two discounts?

Question 5:

If $\sin (A-B)=\frac{\sqrt{3}}{2}$ and $\sec A=2,0^{\circ} \leq A \leq 90^{\circ}, 0^{\circ} \leq B \leq 90^{\circ}$ , then what is the measure of $\mathrm{B}$ ?

Question 6:

In a $\Delta \mathrm{ABC}, \mathrm{AD}$ bisects $\mathrm{BC} . \mathrm{AD}$ is the angle bisector of angle $A .$ If $A B=15 \sqrt{3} \mathrm{~cm}$ and $\mathrm{BD}=9 \sqrt{5} \mathrm{~cm}$, then what is the area (in $\mathrm{cm}^{2}$ ) of triangle $\mathrm{ABC}$.

Question 7:

What is the difference in the volume (in $\mathrm{cm}^3$ ) of a sphere of radius $7 \mathrm{~cm}$ and that of a cone of radius $7 \mathrm{~cm}$ and height $10 \mathrm{~cm} ?$ (Use $\pi=\frac{22}{7}$ )

Question 8:

First trader calculates profit \% on CP while second trader calculates his profit $\%$ on SP. Both sells their article at same price Rs. 4860 and both claims to gaina profit of $35 \%$. Find the difference of their actual profit?

Question 9:

The centroid of an equilateral triangle $\triangle \mathrm{ABC}$ is $\mathrm{G}$. If $\mathrm{AC}=30 \mathrm{~cm}$, and $\mathrm{AD}$ is a median then what is the length (in $\mathrm{cm}$ ) of AG is?

Question 10:

If 8A5146B is divisible by 88 , then what is the value of B - A ?

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