List of practice Questions

The distance between the lines \( 3x + 4y + 1 = 0 \) and \( 6x + 8y - 1 = 0 \) is
Three numbers in the ratio 2:3:4 have their sum 270. Then the L.C.M. is
The cost price of 16 pens is the same as the selling price of 12 pens. The percentage of profit is
The G.C.D. and L.C.M of two numbers are 12 and 252 respectively. If one number is 36, then the other number is
Evaluate the limit: \[ \lim_{x \to 0} \frac{\sqrt[3]{8 + x} - 2}{x}. \]
The equation of the line passing through the point \( (2, -3) \) and perpendicular to the segment joining the points \( (1, 2) \) and \( (-1, 5) \) is
If a flag of 6 meters height, placed on top of a tower, throws a shadow of \( 2\sqrt{3} \) meters along the ground, then the angle in degrees that the sun makes with the ground is
If the 5th term of \( \left( 2x^2 + \frac{3}{x} \right)^5 \) is 10, then \( x = \)
If \( y = \tan^{-1}(x) \), then \( \frac{dy}{dx} = \)
If \( x^2 + 2(K+2)x + 36 = 0 \) has equal roots, then \( K = \)
If \( \sin(\theta) = \frac{15}{17} \), then for \( 0^\circ < \theta < 90^\circ \), \[ \frac{15 \cot(\theta) + 17 \sin(\theta)}{8 \tan(\theta) + 16 \sec(\theta)} \]
If \[ \left( \frac{2}{1} \right)^x \left( \frac{-1}{1} \right)^y = \left( \frac{4}{5} \right), \] then find the value of \( 2x - 3y \).
A, B and C can do a piece of work in 4, 5 and 7 days respectively. If they get Rs.415 for working together to complete the job, then A's share is
A bag contains 3 red balls, 4 white balls, and 7 black balls. The probability of drawing a red or a black ball is
If \( y = x + \frac{1}{x} \) then \( x^4 + x^3 - 4x^2 + x + 1 = \)
If \( K + 2, 4K - 6, 3K - 2 \) are three consecutive terms of an arithmetic progression, then the value of \( K \) is
The average age of 5 children is 8 years. If the age of the father is included to the children average becomes 13, then the age of the father is
By selling an article for Rs.990, a trader makes a profit of 12 ½ %. The cost price of the article in rupees is
The ratio of the sides of a rectangle is 4 : 9 and the area is equal to 144 sq.m. The perimeter in meters is
Two numbers are in the ratio of 4 : 7. If 14 is added to each, they are in the ratio 5 : 7, then find the numbers?
A train takes 8 seconds to pass a person standing on the platform. If the speed of the train is 36 Kmph, then its length in meters is
Two pipes A and B can fill a tank in 12 min and 18 min respectively, if both are opened simultaneously then the time taken to fill the tank in minutes is
A can complete a piece of work in 18 days. B is 20% more efficient than A. The number of days B takes to complete the same piece of work is?
SAP is a computer software originated from
Who is the present President of NASSCOM?