List of top Mathematics Questions

The 50th word in the dictionary using the letters B, B, H, J, O is:
If n+1Cr+1: nCr: n-1Cr-1 = 55: 35: 21 then the value of n + r is _____.
The 315th word in dictionary arranged in order for the word ‘NAGPUR’ is
Number of 5 letters words made from the word “MATHEMATICS” is equal to
Find the range of \(\frac{1}{7}-\sin5x\)
If the complex number (1 + 2i cosθ) / (1 - 3i cosθ) is purely imaginary, then find the number of values of θ in the interval [-2π, 2π].
If set A = { z: |z - 1| ≤ 1} and set B = { z: |z - 5i| ≤ |z - 5| }, if z = a + ib, where a, b ∈ I, then find the sum of modulus squares of A ∩ B.
If f(x) = 3ax3 + bx2 + cx + 1 and f(1) = 41, f'(1) = 2 and f''(2)= 4, then find (a2 + b2 + c2).
When 4 dice are rolled, then the probability of 16 as a sum is:
Consider the equation ax2 + bx + c = 0 . Find probability if a, b, c ∈ A where A = {1,2,3, ... , 8} that the equation has equal roots.
Consider a equation  P(x)= ax2 + bx + c =0. If a,b,c ∈ A, were A = {1, 2, 3, 4, 5, 6} . Then the probability that P(x) has real and distinct roots?
Bag X contains five one-rupee coins, four five rupee coins. Bag Y contains 4 one rupee and 5 five rupees. Bag Z contains 3 one-rupee coins and 6 five rupee coins. If 1 rupee coin is selected at random, what is the probability it is drawn from bag Y?
Tetrahedral dice having outcomes (1, 2, 3, 4) has 3 outcomes a, b, c (which are visible). Probability that ax2 + bx + c = 0 has real roots is m/n (m, n are coprime), then m + n =?

ABCD is a quadrilateral in which AD = BC and ∠ DAB = ∠ CBA (see Fig. 7.17). Prove that 

(i) ∆ ABD ≅ ∆ BAC 

(ii) BD = AC 

(iii) ∠ ABD = ∠ BAC.

Prove that (i) ∆ ABD ≅ ∆ BAC

Find the mean deviation about the mean for the data 4, 7, 8, 9, 10, 12, 13, 17.

Find the mean deviation about the mean for the data 38, 70, 48, 40, 42, 55, 63, 46, 54, 44.

Find the mean deviation about the median for the data.13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17.
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that. 
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed ?
If \((\frac {x}{3}+1, \frac {y-2}{3}) = (\frac {5}{3}, \frac {1}{3})\), Find the value of x and y.
How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?

Find the radian measures corresponding to the following degree measures (i) 25° (ii) - 47° 30' (iii) 240° (iv) 520°

Find the degree measures corresponding to the following radian measures \((\text{Use }π=\frac{22}{7}).\)

\(\text{(i) }\frac{11}{16} \,\text{(ii)} -4 \,\text{(iii)}\,\frac{5π}{3}\, \text{(iv)}\, \frac{7π}{6}.\)

A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A x B)?