List of practice Questions


Among five objects, S is twice as heavy as Q. P is one and a half times as heavy as R, which is twice as heavy as T. T is half as heavy as Q. Which is the heaviest of all the five objects?

Directions: In the following question, a part of the figure is missing. Find from the given options (a, b, c and d) the right figure to fit in the missing part.

There are 40 people standing in a row. A is 12th from the left and B is 9th from the right. How many people are there in between A and B?
Six persons A, B, C, D, E and F are sitting in a row on a bench. F is sitting to the immediate left of E. There are two persons sitting between B and C. A is sitting next to B and is to the immediate right of D. If E is sitting at one end of the row, then who is sitting at the other end?
Question :
Four boys A, B, C and D and four girls M, N, P and Q are sitting around a round table facing the centre such that no two girls are adjacent to one another. Who is sitting between P and Q? Statements:
I. A is sitting between M and P, who is facing N sitting to the immediate left of C.
II. M is third to the left of C, who is to the immediate left of Q.
The sum of the first 15 terms of the series \[ \frac{1}{24} + \frac{1}{104} + \frac{1}{234} + \dots = \frac{a}{b}, \text{ where HCF}(a,b) = 1. \text{ What is the difference between } a \text{ and } b? \]
Shikha sells an article for ₹253, after giving 12% discount on its marked price. Had she not given any discount, she would have earned a profit of 25% on the cost price. What is the cost price of the article?
The marks obtained by seven students in a test are: 36, 46, 70, 60, 20, 18, 30. What is the mean deviation of the data from the mean?
The variance of the ten integers 11, 12, 13,........ 20 is:
Two persons A and B start moving at the same time towards each other from points x and y, respectively. After crossing each other, A and B now take \( 4\frac{1}{6} \) hours and 6 hours, respectively, to reach their respective destinations. If the speed of A is 72 km/h, then the speed (in km/h) of B is:
Water is flowing at the rate of 4 km/h through a pipe of radius 7 cm into a rectangular tank with length and breadth as 25 m and 22 m, respectively. The time (in hours) in which the level of water in the tank will rise by 28 cm is (take \( \pi = \frac{22}{7} \)):
What is the value of \[ \frac{4^x \cdot (2.83)^3 \cdot 3 \cdot 2.96 \cdot 2.22}{(2 - 0.78) \cdot 5.05} \]
The value of \( \left( \frac{5}{13} \cdot \frac{1}{14} + \frac{2}{25} \cdot \frac{3}{10} - \frac{7}{18} \cdot \frac{1}{35} \right) \div \left( \frac{3}{5} \cdot \frac{4}{21} \cdot \frac{2}{5} \right) \) lies between:
The scores of a batsman in 10 different test matches were 42, 38, 48, 70, 46, 63, 55, 34, 54, and 44. What is the mean deviation about the median of these scores?
In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is \( 66 \frac{2}{3} \)% . What should be the success rate for the remaining games in order to reach the target?
A shopkeeper has two varieties of rice A and B. By selling A at ₹75 per kg, he loses 20%; and by selling B at ₹90 per kg, he gains 25%. If he mixes A and B in the ratio 4 : 5 and sells the mixture at ₹110.25 per kg, then his profit percentage is:
Water is flowing at the rate of 4 km/h through a pipe of radius 7 cm into a rectangular tank with length and breadth as 25 m and 22 m, respectively. The time (in hours) in which the level of water in the tank will rise by 28 cm is (take \( \pi = \frac{22}{7} \)):
The value of \( \left( \sqrt{\frac{5}{13}} \right) \left( \frac{14}{25} \right) + 2 \times \frac{3}{10} - \frac{7}{18} \times \left( \frac{1}{35} \right) \times \left( 3^{\frac{1}{5}} \right) + \left( 4^{\frac{1}{2}} \right) \times \left( 5^{\frac{1}{3}} \right) \) lies between:
The mean of the following distribution is 25. \[ \begin{array}{|c|c|} \hline \text{Class} & \text{Frequency} \\ \hline 0-10 & 14 \\ 10-20 & p \\ 20-30 & 27 \\ 30-40 & 21 \\ 40-50 & 15 \\ \hline \end{array} \]
What is the median of the following distribution? \[ \begin{array}{|c|c|} \hline x_i & f_i \\ \hline 8 & 4 \\ 9 & 6 \\ 10 & 2 \\ 11 & 3 \\ 12 & 7 \\ 13 & 6 \\ 14 & 4 \\ \hline \end{array} \]
What is the value of \( \frac{4 \times (2.83)^2 - 3 \times 2.96 \times 2.22}{(2 - 0.78) \times (5.05)} \)?
A person borrows a sum of ₹10,920 at 10% p.a. compound interest and promises to pay it back in two equal annual instalments. The interest to be paid by him under this instalment scheme is:
The income of \( A \) is \( \frac{3}{4} \) of \( B \)'s income, and the expenditure of \( A \) is \( \frac{4}{5} \) of \( B \)'s expenditure. If \( A \)'s income is \( \frac{9}{10} \) of \( B \)'s expenditure, then the ratio of savings of \( A \) and \( B \) is:
Let \( x = -4\sqrt{2} + \sqrt{17(-\sqrt{2})^2 + 2} \). If \( \frac{1}{x} = a + b\sqrt{2} \), then what is the value of \( (a - b) \)?
In a class of 100 students, 55 students passed in Mathematics and 65 passed in English. Five students failed in both subjects. Let \( n \) be the number of students who passed in exactly one of the two subjects and \( m \) be the number of students who failed in at least one subject, then what is the value of \( (m - n) \)?