Simplification and Approximation

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. 20
B. 8
C. 10
D. 15
Explanation:
[10 + { 4 * (2/3 + 1/4 * √144/121 + 23) ÷ 12 + 5} – 3] = ? [10 + { 4 * (11/12 * 12/11 + 23) ÷ 12 + 5 } – 3] = ?
= [10 + {4 * 24 ÷ 12 + 5} – 3] = ?
= [10 + 13 – 3] = ? = > 20

A. 25
B. 125
C. 241/5
D. 253/5
Explanation:
[50 – {20 + 60% of (26/13 + 24/12 + 21) – 2} + 8] = 625/x => [50 – {20 + 3/5 of (25) – 2} + 8] = 625/x
=> [50 – 33 + 8] = 625/x => x = 25

A. 90
B. 270
C. 810
D. 240
Explanation:
16.66% of 33.33% of 66.66% of x = 30
= 1/6 of 1/3 of 2/3 of x = 30
=> (30 * 6 * 3 * 3)/2 => x = 810

A. 1037.50
B. 1157.50
C. 103.75
D. 1038
Explanation:
12.5 + 10 1/4 of 100 ÷ 10% of 10
= 12.5 + 41/4 of 100 ÷ 10/100 of 10
= 12.5 + 41(25) ÷ 1 = 12.5 + 1025 = 1037.5

A. 9/8
B. 3/10
C. 3/5
D. 3/8
Explanation:
(6 – 2 * 3 + 6) / (2 + 6 * 3 – 4) = (6 – 6 + 6) / (2 + 18 – 4)
= 6/16 = 3/8

A. 4 9/11
B. 37
C. 47
D. 74
Explanation:
2/3 * 5 1/2 * 2 * 7 5/6 * 9/11
2/3 * 11/2 * 2 * 47/6 * 9/11 = 47

A. 3 9/13
B. 1 9/11
C. 2 11/72
D. None of these
Explanation:
6 – [5/6 + {3 7/8 – 2 1/3} + 1 7/9] => 6 – [5/6 + {3 1/8 – 7/3} + 16/9]
=> 6 – [5/6 + {(279 – 168 + 128)/72}] => 6 – 5/6 + 239/72
=> 6 – (60 + 239)/72 => 6 – 46 – 11/72
=> 2 – 11/72 => 1 + 1 – 11/72 => 1 + 61/72 = 1 61/72

A. x = 4, y = 8
B. x = 4, y = 4
C. x = 2, y = 4
D. x = 8, y = 4
Explanation:
3 1/x * y 2/5 = 13¾
=> (3x + 1) / x + (5y + 1) / 2 += 55 / 4
only choice (4) i.e x = 8 and y = 4 satisfies the given equation.
3 (1/8) * 4 (2/5) = (25 / 8 ) * (22 / 5) = 55/4 = 13¾

A. 3
B. 11
C. 13
D. None of these
Explanation:
461 + 462 + 463 + 464
=> 461(1 + 4 + 16 + 64)
461(85) = 17 (5 * 461) So it is divisible by 17.