96. If matrix A is of mxn dimension, then Aᵗ will be ——— dimension
(A) n x m
(B) m x n
(C) n x n
(D) m x m
Answer:
(A) n x m
Explanation:
The transpose of a matrix (Aᵗ) flips it over its diagonal, switching its row and column indices. Therefore, an m x n matrix becomes an n x m matrix.
97. Which of the following numbers is divisible by 24?
(A) 15824
(B) 14824
(C) 13824
(D) 12824
Answer:
(C) 13824
Explanation:
For a number to be divisible by 24, it must be divisible by both 3 (sum of digits is a multiple of 3) and 8. 13824 sums to 18 (divisible by 3) and ends in 824 (divisible by 8).
98. Find out the median of the values 5, 10, 3, 7, 2, 9, 6, 2, 11
(A) 2
(B) 6
(C) 11
(D) 9
Answer:
(B) 6
Explanation:
Arranging the 9 values in ascending order gives: 2, 2, 3, 5, 6, 7, 9, 10, 11. The middle value (the 5th value) is 6.
99. Find out the values of x & y if 2x + 3y = 31; 17x – 11y = 8.
(A) 4, 7
(B) 5, 7
(C) 6, 8
(D) 5, 8
Answer:
(B) 5, 7
Explanation:
Testing the options is fastest here. For option B (x=5, y=7): 2(5) + 3(7) = 10 + 21 = 31. Also, 17(5) – 11(7) = 85 – 77 = 8. It satisfies both equations.
100. Which among the following is not a measure of central tendency?
(A) Mean
(B) Mode
(C) Median
(D) Range
Answer:
(D) Range
Explanation:
Mean, median, and mode are all measures of central tendency, which summarize a single typical value for a dataset. Range is a measure of statistical dispersion.
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