Overview Exercise "Success has many fathers, while failure is an orphan."
- (Proverb)
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
Answer: C
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: D
Explanation:
8796 x 223 + 8796 x 77
= 8796 x (223 + 77) [Ref: By Distributive Law ]
= (8796 x 300)
= 2638800
133.
8988 ÷ 8 ÷ 4 = ?
Answer: B
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 = ?
Answer: B
Explanation:
Given Exp.
= a 2 + b 2 - 2ab , where a = 287 and b = 269
= (a - b )2 = (287 - 269)2
= (182 )
= 324
135.
3 + 33 + 333 + 3.33 = ?
Answer: D
Explanation:
3
+ 33
+ 333
+ 3.33
------
372.33
------
136.
Which one of the following can't be the square of natural number ?
Answer: E
Explanation:
The square of a natural number nerver ends in 2.
137.
(1000)9 ÷ 1024 = ?
Answer: 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} = ?
Answer: B
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.
143642 is not the square of natural number.