Q 1 - If √6= 2.4, (4√6)/(3√6-0.2)=?
A. 1.41
B. 1.39
C. 1.37
D. 1.35
(4√6)/(3√6-0.2)=(4x2.4)/(3x2.4-0.2) =9.6/(7.2-0.2) =1.37
Q 2 - If √14=3.74, then √(7/2)=?
A. 1.9
B. 1.87
C. 1.84
D. 1.81
√(7/2)=√((7x2)/(2x2))=√(14/4)=3.74/2=1.87
Q 3 - Express 0.888 in fractional form
A. 88/100
B. 89/100
C. 8/9
D. 88/9
0.888...= 8/9
Q 4 - Find the sum of the largest and the smallest fraction in 3/5, 6/5, 9/8, 7/3
A. 2.53
B. 2.63
C. 2.83
D. 2.93
3/5=0.6, 6/5=1.2, 9/8=1.12 and 7/3=2.33 => sum of largest & smallest fraction is 2.33 + 0.6=2.93
Q 5 - 12.205 x 2.5 = ?
A. 3.05125
B. 30.125
C. 30.5125
D. 305.125
12205 x25 ------ 305125 ------ ∴ 12.205 x 2.5 = 30.5125
Q 6 - 2560.16 x 160.18 = ?
A. 4
B. 16
C. 64
D. 256.25
2560.16 x 160.18 = (44)0.16 x (42)0.18 = 4(4x0.16)x4(2x0.18) = 4(0.64 + 0.36) = 41 = 4
Q 7 - b/a = 0.25. What is (2a-b)/(2a+b) + 2/9?
A. 4/9
B. 5/9
C. 1
D. 2
(2a-b)/(2a+b) + 2/9 = (2-b/a)/(2+b/a) + 2/9 = (2-1/4)/(2+1/4) + 2/9 = 7/9 + 2/9 = (7+2)/9 = 9/9 = 1
Q 8 - (0.87 x 0.87 x 0.87 + 0.13 x 0.13 x 0.13) / (0.87 x 0.87 - 0.87 x 0.13 + 0.13 x 0.13)= ?
A. 0.13
B. 0.73
C. 0.9
D. 1
As a3 + b3 = (a+b)(a2-ab + b2) Thus (a3 + b3) / (a2-ab + b2) = a + b ∴ (0.87 x 0.87 x 0.87 + 0.13 x 0.13 x 0.13) / (0.87 x 0.87 - 0.87 x 0.13 + 0.13 x 0.13) = 0.87 + 0.13 = 1
Q 9 - Which of the following is same as 54.327 x 357.2 x .0057?
A. 5.4327 x 3.572 x 5.7
B. 5.4327 x 3.572 x .57
C. 54327 x 3572 x .0000057
D. 543.27 x 35.72 x .0057
As sum of decimal places in product is 8 and in option A is also 8.
Q 10 - 312 Rs were divided among 60 boys and some girls in such a way that each boy got 3.6 Rs and each girl got 2.40. How many girls were there?
A. 35
B. 40
C. 60
D. 65
Let the girls be y 3.60 x 60 + 2.40 x y = 312 => 2.40y = 312 - 216 = 96 => y = 96/2.40 = 9600/ 240 = 40