Aptitude - Numbers

Exercise :: Numbers - General Questions

131. 

A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be

A. 1, 2
B. 2, 3
C. 3, 2
D. 4, 1

Answer: Option B

Explanation:

 4 | x            y = (5 x 1 + 4) = 9
 --------
 5 | y -1         x = (4 x y + 1) = (4 x 9 + 1) = 37
 --------
   | 1 -4

 Now, 37 when divided successively by 5 and 4, we get

 5 | 37
 ---------
 4 | 7 - 2
 ---------
   | 1 - 3
 
 Respective remainders are 2 and 3.

132. 

8796 x 223 + 8796 x 77 = ?

A. 2736900
B. 2638800
C. 2658560
D. 2716740
E. None of these

Answer: Option B

Explanation:

8796 x 223 + 8796 x 77 = 8796 x (223 + 77)   [Ref: By Distributive Law ]
= (8796 x 300)
= 2638800

133. 

8988 8 4 = ?

A. 4494
B. 561.75
C. 2247
D. 280.875
E. None of these

Answer: Option D

Explanation:

Given Exp. = 8988 x 1 x 1 = 2247 = 280.875
8 4 8

134. 

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

135. 

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
  ------    

136. 

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.


137. 

(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
1024 1024 1024

138. 

{(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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