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The average of the four-digit numbers that can be formed using each of the digits 3, 5, 7 and 9 exactly once in each number, is

1) 4444 2) 5555 3) 6666 4) 7777 5) 8888 Solution: (3) 6666 The average of a list of numbers... View Article

The mean age of a combined group of men and women is 25 yr. If the mean age of the group of the mean is 26 and that of the group of women is 21, then the percentage of men and women in the group is

1) 46, 60 2) 80, 20 3) 20, 80 4) 60, 40 Solution: (2) 80, 20 Let the total number... View Article

The mean of the values 0, 1, 2, 3 ….. n with the corresponding weights ⁿC₀, ⁿC₁, ….. ⁿC_n respectively, is

1) [n + 1] / 2 2) [n – 1] / 2 3) [2n – 1] / 2 4) [2n... View Article

The median of (x / 5), (x / 4), (x / 3), (x / 2), x (x > 0) is 8, then the value of x is

1) 24 2) 32 3) 8 4) 16 5) 40 Solution: (1) 24 The given observations are arranged in ascending... View Article

The AM of 9 terms is 15. If one more term is added to this series, then AM becomes 16. The value of the added term is

1) 30 2) 27 3) 25 4) 23 5) 20 Solution: (3) 25 The arithmetic mean of 9 terms is... View Article

In a moderately asymmetrical distribution, if the mean and median are 36 and 34 respectively, then find out the value of empirical mode.

1) 30 2) 32 3) 42 4) 22 Solution: (1) 30 Mean = 36 Median = 34 Mode = 3... View Article

The mean of n terms is [latex]bar{x}[/latex]. If the first term is increased by 1, second by 2 and so on, then the new mean is

1) \(\begin{array}{l}\bar{x}\end{array} \) + n 2) \(\begin{array}{l}\bar{x}\end{array} \) + (n / 2) 3) \(\begin{array}{l}\bar{x}\end{array} \) + [n + 1] /... View Article

Sir Thomas Roe [1581-1644]

Sir Thomas Roe was an English diplomat of the Elizabethan and Jacobean periods. He was England’s first official ambassador to... View Article

Fa-Hien [337 CE – 422 CE]

Fa-Hien was a Chinese pilgrim who visited India during the reign of Chandragupta II on a religious mission. He traveled... View Article

Indian Energy Exchange

India’s first and largest energy exchange is the Indian Energy Exchange (IEX). In April 2021, IEX expanded beyond India with... View Article

05 May 2021: PIB Summary & Analysis

May 5th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. Global Innovation Partnership 2. MoU between India and the... View Article

Read the following information carefully and answer the following request. Let p be an odd prime number and T_p be the following set of 2 x 2 matrices . The number of A in T_p such that A is either symmetric or skew-symmetric or both and det (A) is divisible by p is

1) (p – 1)2 2) 2(p – 1) 3) (p – 1)2/ 4) 2p – 1 Solution: (4) 2p –... View Article

If 𝛚 is an imaginary cube root of unity and if [latex]\begin{vmatrix} x+\omega^{2} &\omega &1 \\ \omega& \omega^{2} &1+x \\ 1&x+\omega &\omega^{2} \end{vmatrix}=0[/latex] then one of the value of x is

1) 1 2) 0 3) – 1 4) 2 Solution: (2) 0

If [latex]\left|\begin{array}{ccc} x^{2}+x & 3 x-1 & -x+3 \\ 2 x+1 & 2+x^{2} & x^{3}-3 \\ x-3 & x^{2}+4 & 3 x \end{array}\right|=a_{0}+a_{1}x+……+a_{7}x^{7}[/latex] then the value of a₀ is

1) 35 2) 24 3) 23 4) 22 5) 21 Solution: (5) 21

The value of the determinant [latex]\left|\begin{array}{ccc} 15 ! & 16 ! & 17 ! \\ 16 ! & 17 ! & 18 ! \\ 17 ! & 18 ! & 19 ! \end{array}\right|[/latex] =

1) 15 ! + 16 1 2) 2(15!) (16!) (17!) 3) 15! + 161 + 17! 4) 16! + 17!... View Article

If A is a 2 × 2 matrix with non – zero entries let A² = I, where I is 2 × 2 identity matrix. Define tr (A) = Sum of diagonal element of A and |A| = Determinant of matrix A. Statement I tr (A) = 0. Statement II |A| = i

1) Statement I is correct, Statement Ii is correct; Statement Ii is the correct explanation for Statement I 2) Statement... View Article

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