Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 11
(800 ÷ 64) x (1296 ÷36) = ?

A
540
B
460
C
420
D
500
E
None of these
Correct Answer: Option D
Given Exp. = 800 x 1296 = 450
64 36
Question 12
If the number 42573 * is exactly divisible by 72, then the minimum value of * is :

A
6
B
8
C
7
D
5
E
4
Correct Answer: Option A

72 = 9 x8, where 9 and 8 are co-prime.

The minimum value of x for which 73x for which 73x is divisible by 8 is, x = 6.

Sum of digits in 425736 = (4 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 9.

Required value of * is 6.

Question 13
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively :

A
7 and 4
B
7 and 5
C
8 and 5
D
None of these
Correct Answer: Option C

Let the given number be 476 xy 0.

Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.

And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.

x - y - 3 = 0    y = x - 3

(17 + x + y) = (17 + x + x - 3) = (2x + 14)

x= 2 or x = 8.

x = 8 and y = 5.

Question 14
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be :

A
1
B
3
C
5
D
2
E
None of these
Correct Answer: Option A

Given number = 97215x6

(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.

  x = 3

Question 15
(489 + 375)2 - (489 - 375)2= ?
(489 x 375)

A
144
B
864
C
2
D
4
E
None of these
Correct Answer: Option D
(a + b)2 - (a - b)2=4ab= 4
abab
Question 16
(4300731) - ? = 2535618

A
1675123
B
1765113
C
1775123
D
1865113
E
None of these
Correct Answer: Option B

Let 4300731 - x = 2535618

Then x, = 4300731 - 2535618 = 1765113

Question 17
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

A
339
B
349
C
369
D
Data inadequate
Correct Answer: Option B

x = 13p + 11 and x = 17q + 9

 13p + 11 = 17q + 9

 17q - 13p = 2

 q =2 + 13p
17

The least value of p for which q =2 + 13p 



17

is a whole number is p = 26

 x = (13 x 26 + 11)

   = (338 + 11)

   = 349

Question 18
1904 x 1904 = ?

A
3623436
B
3625216
C
3632646
D
3654316
E
None of these
Correct Answer: Option B
1904 x 1904= (1904)2
= (1900 + 4)2
= (1900)2 + (4)2 + (2 x 1900 x 4)
= 3610000 + 16 + 15200.
= 3625216.
Question 19
Which one of the following numbers is completely divisible by 99 ?

A
913464
B
114345
C
3572404
D
135792
E
None of these
Correct Answer: Option B

99 = 11 x 9, where 11 and 9 are co-prime.

By hit and trial, we find that 114345 is divisibleby 11 as well as 9. So, it is divisible by 99.

Question 20

854 x 854 x 854 - 276 x 276 x 276= ?
854 x 854 + 854 x 276 + 276 x 276

A
1156
B
578
C
1130
D
565
Correct Answer: Option B
(a3 - b3)= (a - b) = (854 - 276) = 578
(a2 + ab + b2)

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