The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is_________?
A. (mb – nc)/ (m + n) years
B. (mb + nc)/ (m – n) years
C. (mb + nc)/ (m + n) years
D. (mb – nc)/ (m – n) years
A. (mb – nc)/ (m + n) years
B. (mb + nc)/ (m – n) years
C. (mb + nc)/ (m + n) years
D. (mb – nc)/ (m – n) years
A. Rs. 15
B. Rs. 12
C. Rs. 10
D. Rs. 8
A. 3
B. 7.5
C. 2.25
D. 1.5
Explanation:
M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 – x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
A. 7
B. 10
C. 15
D. 49
Explanation:
[3/7 of {21 * (33.33% of (27 + 3) ÷ 5) – 7} – 8] = ?
= [3/7 of {21 * (1/3 * 30 ÷ 5) – 7} – 8] = ?
= 3/7 of [{21 * 2 – 7} – 8] = ? => {3/7 * 35 – 8} = ? => 7
A. 25
B. 27
C. 30
D. 35
Explanation:
Excluded number = (27 * 5) – (25 * 4) = 135 – 100 = 35.
A. 9, 10
B. 10, 11
C. 11, 12
D. 12, 13
Explanation:
Let the two consecutive positive integers be x and x + 1
x2 + (x + 1)2 – x(x + 1) = 91
x2 + x – 90 = 0
(x + 10)(x – 9) = 0 => x = -10 or 9.
As x is positive x = 9
Hence the two consecutive positive integers are 9 and 10.
A. 49
B. 98
C. 492
D. 982
Explanation:
(492 * 324) / 324 = 492