SSC CGL QUANT QUIZ -7

Attempt now to get your rank among 1604 students!

Question 1:

If a solid cone of volume $27 \pi \mathrm{cm}^{3}$ is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is:

Question 2:

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)?

Question 3:

In an examination, 47% of the students failed in science and 29% failed in social studies. If 14% failed in both the subjects, then find the total number of students passed in both the subjects together?

Question 4:

The difference between simple interest and compound interest on a certain sum at $12 \frac{1}{2} \%$ for 3 years is Rs.125 . Find the sum?

Question 5:

Pipes A and B are filling pipes while pipe C is an emptying pipe. Pipe A and B can fill a tank in 36 and 45 minutes respectively. When all the three pipes are opened together, the tank gets filled in $\frac{6}{13}$ h. A and B are opened for 7 minutes, then closed and $\mathrm{C}$ is opened. After what time the tank will be empty?

Question 6:

Cost of a Television set is 34,559 rupees. Due to high demand, the cost was increased by $14.28 \%$. Which resulted into sharp decline in demand and hence the price was then reduced by $12.5 \%$, What is the final cost of the TV set?

Question 7:

Find $\frac{\sin 7 x-\sin 5 x}{\cos 7 x+\cos 5 x}-\frac{\cos 6 x-\cos 4 x}{\sin 6 x+\sin 4 x}=?$

Question 8:

If $x=23$, then the value of $x\left(x^{2}+3 x+3\right)$

Question 9:

When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% more than the earlier one. If the family consumed 18.4 kg sugar per month earlier, then what is its new consumption of sugar per month?

Question 10:

A solid metallic sphere of radius $x \mathrm{~cm}$ is melted and then drawn into 130 cones each of radius $4.2 \mathrm{~cm}$ and height $6 \mathrm{~cm}$. There is no wastage of material in this process. What is the approximate value of $x$?