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Friday, January 2, 2015

Numbers

1. (935421 x 625) = ?
A. 542622125
B. 584632125
C. 544638125
D. 584638125

2. Which of the following is a prime number ?
A. 9
B. 8
C. 4
D. 2
3. What is the largest 4 digit number exactly divisible by 88?
A. 9944
B. 9999
C. 9988
D. 9900
Answer : Option A
Explanation :
Largest 4 digit number = 9999

9999 ÷ 88 = 113, remainder = 55

Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944

4. {(481 + 426)2 - 4 x 481 x 426} = ?
A. 3025
B. 4200
C. 3060
D. 3210
Here, the given statement is like (a + b)2 - 4ab where a= 481 and b = 426

(a + b)2 - 4ab = (a2 + 2ab + b2) - 4ab = a2 - 2ab + b2 = (a - b)2

Hence {(481 + 426)2 - 4 x 481 x 426} = (481 - 426)2 = 552 = 3025

5. (64 - 12)2 + 4 x 64 x 12 = ?
A. 5246
B. 4406
C. 5126
D. 5776
Here, the given statement is like (a - b)2 + 4ab where a= 64 and b = 12

(a - b)2 + 4ab = (a2 - 2ab + b2) + 4ab = a2 + 2ab + b2 = (a + b)2

Hence (64 - 12)2 + 4 x 64 x 12 = (64 + 12)2 = 762 = 5776

6. 121 x 54 = ?
A. 68225
B. 75625
C. 72325
D. 71225
Answer : Option B
Explanation :


121×54=121×(102)4=121×1000016=7.5625×10000=75625




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