List of top Mathematics Questions

An annuity in which the periodic payment begin on a fixed date and continue forever is called

An annuity in which the periodic payment begin on a fixed date and continue forever is called

Which of the following are correct about the Sinking Fund?
(A) It is a fixed term account.
(B) It is a set-up for a particular upcoming expense.
(C) A fixed amount at regular intervals is deposited in the Sinking Fund.
(D) It can be used in any emergency.
Choose the correct answer from the options given below:

Let AX = B be a system of three linear equations in three variables. Then the system has
(A) a unique solution if |A| = 0
(B) a unique solution if |A| $\neq$ 0
(C) no solutions if |A| = 0 and (adj A) B $\neq$ 0
(D) infinitely many solutions if |A| = 0 and (adj A)B = 0
Choose the correct answer from the options given below:

Which of the following are correct about the Sinking Fund?
(A) It is a fixed term account.
(B) It is a set-up for a particular upcoming expense.
(C) A fixed amount at regular intervals is deposited in the Sinking Fund.
(D) It can be used in any emergency.
Choose the correct answer from the options given below:

The angle between the lines whose direction cosines satisfy the equations: \[ l + m + n = 0 \quad \text{and} \quad m^2 + n^2 - l^2 = 0 \] Find the angle between the two lines.

Find the solution $ \frac{d^2y}{dm^2} - k^3 \frac{dy}{dm} = y \cos m, \quad y(0) = 1 $

The line $ L_1 $ is parallel to the vector $ \mathbf{a} = -3\hat{i} + 2\hat{j} + 4\hat{k} $ and passes through the point $ (7, 6, 2) $, and the line $ L_2 $ is parallel to the vector $ \mathbf{b} = 2\hat{i} + \hat{j} + 3\hat{k} $ and passes through the point $ (5, 3, 4) $. The shortest distance between the lines $ L_1 $ and $ L_2 $ is:

If the probability that the random variable X takes the value x is given by \( P(X = x) = k(x + 1)3^{-x} \), \( x = 0, 1, 2, 3, ... \), where k is a constant, then \( P(X \ge 3) \) is equal to

A rectangular paper folded in two has perimeter 34 cm (one direction) and 38 cm (other direction). What is the area of the paper?

Two pipes can fill a tank in 20 minutes and 30 minutes respectively. Both pipes are opened together but after 5 minutes the first is closed. How long will it take to fill the remaining tank?

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed how many times?

From a group of 7 men and 6 women, 5 persons are to be selected so that at least 3 men are on the committee. In how many ways can this be done?

The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

A rectangular paper, folded into two congruent parts, has a perimeter of 34 cm for each part when folded along one set of sides, and 38 cm when folded along the other set. What is the area of the paper (sq. cm)?

In a housing society, 30% of residents are men over 18 and 40% are women over 18. If there are 24 children, how many total residents live in the society?

The digit at unit place of a two-digit number is increased by 100% and the digit at the tens place is increased by 50%. The new number is 19 more than the original. What is the original number?

Which figure does NOT belong to the group? (Hint: all others are symmetric about the vertical axis.)

The price of sugar was increased by 32%. A family reduces its consumption so that expenditure on sugar is up by 10% only. If total consumption before the price rise was 10 kg/month, what is the current consumption (kg/month)?

Arrows point in directions forming a rotation pattern. Which arrow completes the series?

Figures show geometric shapes: the outer shape changes, inner symbol stays. Odd one out is?

Choose the figure which is different from the rest.