119+ Numbers Questions and Answers | Quantitative Aptitude

Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

A) 2	B) 1
C) 3	D) 7

Answer & Explanation Answer: A) 2

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ), which must be divisible by 3.

When x=2. [(22 + 2) = 24 is divisible by 3]

So, the answer is 2

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29 23085

Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8	B) 2
C) 6	D) 4

Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)² - (2x + 1)²

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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Exam Prep: CAT
Job Role: Bank Clerk

46 22257

Q:

Which one of the following cannot be the square of a natural number?

A) 32761	B) 42437
C) 81225	D) 20164

Answer & Explanation Answer: B) 42437

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

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31 21494

Q:

What will come in place of the question mark (?) in the following questions ?

22% of ? + 166.64 = 340

A) 788	B) 786
C) 784	D) 792

Answer & Explanation Answer: A) 788

Explanation:

(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788

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Exam Prep: AIEEE , Bank Exams , CAT
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14 21234

Q:

If 60% of $\frac{3}{5}$ of a number is 36, then the number is

A) 86	B) 94
C) 100	D) 115

Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of $\frac{3}{5}$ of x=36.

=> $\frac{60}{100} * \frac{3}{5} * x = 36$

=> $\frac{9 x}{25} = 36$ => x= $\frac{25 * 36}{9} = 100$

Required number is 100.

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27 21152

Q:

Find the unit digit of 4¹⁹⁸ + 6¹²³⁴⁵ + 348⁶⁶ + 24¹¹ + 1.

A) 3	B) 2
C) 1	D) 0

Answer & Explanation Answer: C) 1

Explanation:

Given that, $4^{198} + 6^{12345} + 348^{66} + 24^{11} + 1$

Now Power Cycle of

4 is 4, 6

6 is 6

8 is 8, 4, 2, 6

1 is 1

$4^{198}$ - 198 is even number , So the unit digit value is 6

$6^{12345}$ - It is always 6

$348^{66}$ - 66/4 the remainder is 2 , So the second value is 4

$24^{11}$ - 11 is odd number, So the unit digit value is 4

1 - It is always 1

Total = 21

Therefore, The unit digit is 1

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Exam Prep: CAT
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23 19247

Q:

A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?

Answer

Number = ( 779 x a) + 47, where "a" is the quotient

= (19 x 41 x a) + (19 x 2) + 9

= 19 x (41a + 2) + 9

= 19 x (New quotient) + 9

$\inline \fn_jvn \therefore$ Required remainder = 9

Workspace

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Subject: Numbers - Quantitative Aptitude - Arithmetic Ability

31 18848

Q:

The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

A) 3/5	B) 3/10
C) 4/5	D) 5/4

Answer & Explanation Answer: C) 4/5

Explanation:

Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20 => 20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.

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34 18727

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