SSC CPO MIXED QUANT BOOSTER QUIZ

Attempt now to get your rank among 30 students!

Question 1:

The parallel sides of a trapezium are $27 \mathrm{~cm}$ and $13 \mathrm{~cm}$, respectively. If the distance between the parallel sides is $7 \mathrm{~cm}$, then its area in square meters is

Question 2:

If $x^2-5 x+1=0$, then the value of $\left(x^4+\frac{1}{x^2}\right) \div\left(x^2+1\right)$ is:

Question 3:

The value of $\frac{\sin ^2 30^{\circ}+\cos ^2 60^{\circ}-\sec 35^{\circ} \cdot \sin 55^{\circ}}{\sec 60^{\circ}+\operatorname{cosec} 30^{\circ}}$ is equal to:

Question 4:

The given bar graph represents the number of boys and girls in five different schools. Study the graph and answer the question that follows.
What is the average number of boys in schools A, B, C, D and E?

Question 5:

If $\sec 3 x=\operatorname{cosec}\left(3 x-45^{\circ}\right)$, where $3 x$ is an acute angle, then $x$ is equal to

Question 6:

A person travels a distance of $300 \mathrm{~km}$ and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returns at a speed of 10 $\mathrm{km} / \mathrm{h}$ more than the speed of going, what is the average speed (in $\mathrm{km} / \mathrm{h}$ ) for the entire journey?

Question 7:

Three successive discounts $22 \%, 17 \%$ and $11 \%$ are equivalent to a single discount of:

Question 8:

In $\triangle A B C, A B$ and $A C$ are produced to points $D$ and $E$, respectively. If the bisectors of $\angle C B D$ and $\angle B C E$ meet at the point $\mathrm{O}$, and $\angle B O C=57^{\circ}$, then $\angle A$ is equal to:

Question 9:

A person salary has increased from Rs. 7,000 to Rs. 12,000. What is the percentage increase in his salary?

Question 10:

A solid metallic cube of side $9 \mathrm{~cm}$ and solid metallic cuboid having dimensions $5 \mathrm{~cm} \times 13 \mathrm{~cm} \times 31 \mathrm{~cm}$ are melted to form a single cube. How much (in ₹) is the cost to polish the new cube at a rate of ₹ 10 per $\mathrm{cm}^2$ ?