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 & Explanation
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 & Explanation
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 & Explanation
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 & Explanation
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 & Explanation
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 & Explanation
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 & Explanation
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 & Explanation
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.