Direction (Q. 1 - 5) : What should come in place of the question mark (?) in each of the following questions ?
(13.25)2 - (1.75)2 /(.5)2 = ?
Use a2 - b2 = (a+b)(a-b)
56% of 440 - 36% of 240 = ? % of 320
56/100 x 440 - 36/100 x 240
= 246.4 - 86.4 = 160
∴ 50% of 320 = 160
5√243 ÷ (81)-0.5 = 3?
5√(3)5 ÷ (34)-1/2
(35)1/5 ÷ 3-2 = 31 x 32 = 33
[3√2√2401]3/2 = ?
2401 = 74
∴ (3√2√74)3/2 = (72/3)3/2 = 71
1/4 ÷ 8 x 24 + 3/1/4 x 8 ÷ 24 + 3 = ?
1/32x24+3/2/24+3 = 3/4+3/1/12+3 = 15/4/37/12
= 15/4 x 12/37 = 45/37
Direction (Q. 6 - 10) : What approximate value come in the place of (?)
165% of 1750 + 1.75% of 165 = ?
165% 1750 + 1.75% of 165
= 165% of 1750 + 165% of 1.75
= 165% of (1750 + 1.75)
= 165/100 x 1751.75
= 165/100 x 1750 = 2887.5 = 2890
√640000.000064/.0004 = ?
√640000.000064 = √64000 = 800
√.00004 = .02
∴ 800/.02 = 40000
19.07 x 13.96 - 22.09 x 9.90 = ?
No Explanation
135% of 499.996 - 115.05% of 649.906 = ?
= 135% of 500 - 115% of 650
= 500x135/100 = 115x650/100
= 675 - 747.5 = -72.5
3805.99/380.6 x √485 x 1.5001 = 11 x ?
= 3806/380.6 x 22 x 1.5
10 x 22 x 1.5 = 330
ie 11 x 3
∴ ? = 30
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