List of practice Questions

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?
Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja?
Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?
If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India?
P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R.
Given that $x>y>z>0$. Which of the following is necessarily true?
What is the value of ma$(10, 4, \text{le}(\text{la}(10, 5, 3), 5, 3))$?
For $x = 15, y = 10, z = 9$, find the value of le$\big(x, \min(y, x-z), \ \text{le}(9, 8, \text{ma}(x, y, z))\big)$.
ABC is a three-digit number in which A $>$ 0. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B?
A, B and C are defined as follows: $A = \frac{2.000004}{\sqrt{(2.000004)^2 + (4.000008)^2}}$
$B = \frac{3.000003}{\sqrt{(3.000003)^2 + (9.000009)^2}}$
$C = \frac{4.000002}{\sqrt{(4.000002)^2 + (8.000004)^2}}$
Which of the following is true about the values of the above three expressions?
If m and n are integers divisible by 5, which of the following is not necessarily true?
Which of the following is true?
A man earns $x%$ on the first Rs. 2{,}000 and $y%$ on the rest of his income. If he earns Rs. 700 from income of Rs. 4{,}000 and Rs. 900 from Rs. 5{,}000, find $x%$.
An express train travelling at 80 km/hr overtakes a goods train, twice as long and going at 40 km/hr on a parallel track, in 54 s. How long will the express train take to cross a platform of 400 m long?
A student instead of finding the value of $\frac{7}{8}$ of a number, found the value of $\frac{7}{18}$ of the number. If his answer differed from the actual one by 770, find the number.
P and Q are two positive integers such that $PQ = 64$. Which of the following cannot be the value of $P + Q$?
The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.
If the roots $x_1$ and $x_2$ of the quadratic equation $x^2 - 2x + c = 0$ also satisfy the equation $7x_2 - 4x_1 = 47$, then which of the following is true?
The sum of the areas of two circles, which touch each other externally, is $153\pi$. If the sum of their radii is 15, find the ratio of the larger to the smaller radius.
A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?
In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the vice chairman and a director?
If $\log_{2} \left[ \log_{3} \left( x^{2} - x + 37 \right) \right] = 1$, then what could be the value of $x$?
After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percentage above the cost price does he mark his goods?
If $n$ is an integer, how many values of $n$ will give an integral value of $\frac{16n^{2} + 7n + 6}{n}$?
A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?