List of practice Questions

The inequality \( x + \frac{1}{x} \leq -2 \) is true, if:
If \( x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{-4 \), then the value of \( x^{-2} \) is:}
The set of real numbers which satisfy the equation \( x^2 - 5x + 6 = 0 \) is:
If a number \( x \) be subtracted from each of the numbers 21, 38, 55, 106, then they become proportional. The value of \( x \) is:
The HCF of the polynomials \( 2x^3 + 5x^2 - 2x - 5 \) and \( 3x^3 - x^2 - 3x + 1 \) is:
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice the number:
A man buys an article for Rs. 27.50 and sells it for Rs. 28.60. Find his gain percentage.
The difference of the place value and the face value of the digit 2 in 3124698 is:
Mahendra bought 20 dining tables for Rs. 12,000 and sold them at a profit equal to the selling price of 4 dining tables. The selling price of 1 table is:
If H.C.F. of (65, 117) is expressed in the form \( 65m + 117n \), then the value of \( m \) is:
A tank can be filled by two taps A and B in 12 hours separately. The full tank can be emptied by a third tap in 8 hours. If all the taps are turned on at the same time, then the time taken to fill the empty tank will be:
Solve: \( 0.003 \times 0.0004 \) = ?
If \( a = b \) and \( b = c \), then \( a = c \). This property is called:
Solve: \( 7! \) = ?
What is the least common multiple (LCM) of the numbers 90, 60, 75, and 35?
How many seconds does Puja take to cover a distance of 500 m, if she runs at a speed of 30 km/hr?
Find the HCF of 54, 288, and 360.
Solve: \( 100 + 50 \times 2 \) = ?
Solve: \( 2 + 2 - 2 \times 2 \div 2 = ? \)
If \( \frac{x}{2} + 4 = \frac{7}{2} \), then \( x \) = ?
From 1 'O' clock afternoon up to 10 'O' clock in the night, how many times will the hands of a clock be at right angle?
Read the following information :
(I) A, B, C, D, E, F, G and Hare sitting in a row facing North. 
(II) A is fourth to the right of E 
(III) H is fourth to the left of D 
(IV) C and F , who are not at the ends, are neighbours of Band E, respectively 
(V) H is next to the left of A and A is the neighbour of B
Then what is position of F ?
Find out the pair in which the words bear the same relationship to each other as similar to the words of the given pair bears.
Given pair: Horse : Hoof
Find the odd group of letters:
How many '4's are there in the series which comes between two '5's? \[ 3, 4, 4, 5, 4, 5, 4, 2, 1, 4, 5, 4, 5, 7, 4, 5, 4, 5 \]