atricle 2

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Arithmetic Aptitude | Numbers I - with Explanation


1. 
287 x 287 + 269 x 269 - 2 x 287 x 269 = ?
A.534
B.446
C.354
D.324
E.
None of these
Answer: Option D
Explanation:
Given Exp.a2 + b2 - 2ab, where a = 287 and b = 269
= (a - b)2 = (287 - 269)2
= (182)
= 324


2. 
3 + 33 + 333 + 3.33 = ?
A.362.3
B.372.33
C.702.33
D.702
E.None of these
Answer: Option B
Explanation:
    3
+  33
+ 333
+   3.33
  ------
  372.33
  ------  


3. 
Which one of the following can't be the square of natural number ?
A.30976
B.75625
C.28561
D.143642
E.None of these
Answer: Option D
Explanation:
The square of a natural number nerver ends in 2.
 143642 is not the square of natural number.

4. 
(1000)9 ÷ 1024 = ?
A.10000
B.1000
C.100
D.10
E.None of these
Answer: Option B
Explanation:
Given Exp. =(1000)9=(103)9=(10)27= 10(27-24) = 103 = 1000
102410241024

5. 
{(476 + 424)2 - 4 x 476 x 424} = ?
A.2906
B.3116
C.2704
D.2904
E.None of these
Answer: Option C
Explanation:
Given Exp.= [(a + b)2 - 4ab], where a = 476 and b = 424
= [(476 + 424)2 - 4 x 476 x 424]
= [(900)2 - 807296]
= 810000 - 807296
= 2704.

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