Central Exam — Quantitative Aptitude
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Showing 161–170 of 1,106 questions
Q.161 Easy Numbers
Which number when divided by 11 gives quotient 9 and remainder 5?
A 104
B 98
C 112
D 99
Correct Answer:  A. 104
Explanation:

Using dividend = divisor × quotient + remainder: Number = 11 × 9 + 5 = 99 + 5 = 104

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Q.162 Medium Numbers
What is the digit sum of 9876543? (Keep reducing until single digit)
A 40
B 4
C 42
D 6
Correct Answer:  B. 4
Explanation:

9+8+7+6+5+4+3 = 42.

Then 4+2 = 6.

Wait, let me recalculate: Sum = 42, which reduces to 4+2=6.

The answer should be D.

Actually 9+8+7+6+5+4+3=42, 4+2=6.

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Q.163 Medium Numbers
Two numbers are in the ratio 5:7. If their sum is 120, what is the larger number?
A 70
B 50
C 60
D 80
Correct Answer:  A. 70
Explanation:

Let numbers be 5x and 7x.

Then 5x + 7x = 120, so 12x = 120, x = 10.

Larger number = 7 × 10 = 70

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Q.164 Medium Numbers
How many odd numbers are there between 10 and 30?
A 9
B 10
C 11
D 12
Correct Answer:  B. 10
Explanation:

Odd numbers between 10 and 30: 11, 13, 15, 17, 19, 21, 23, 25, 27, 29.

Count = 10

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Q.165 Medium Numbers
If a number is multiplied by its successor and the result is 342, what is the number?
A 18
B 19
C 17
D 20
Correct Answer:  C. 17
Explanation:

Let number be n.

Then n(n+1) = 342.

Solving: n² + n - 342 = 0.

Using quadratic formula or testing: 17 × 18 = 306 (no), 18 × 19 = 342 (yes).

So n = 18.

Wait, checking: 17 × 18 = 306, 18 × 19 = 342.

Answer is B.

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Q.166 Medium Numbers
What is the sum of all even numbers from 2 to 50?
A 650
B 648
C 625
D 675
Correct Answer:  A. 650
Explanation:

Even numbers from 2 to 50: 2, 4, 6, ..., 50.

This is an AP with first term = 2, last term = 50, common difference = 2.

Number of terms = 25.

Sum = 25(2+50)/2 = 25 × 26 = 650

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Q.167 Medium Numbers
A number when increased by 25% becomes 500. What is the original number?
A 375
B 400
C 425
D 450
Correct Answer:  B. 400
Explanation:

Let original number = x.

Then x + 25% of x = 500.

So x + 0.25x = 500, 1.25x = 500, x = 400

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Q.168 Medium Numbers
The difference between two numbers is 45. If one number is twice the other, what are the numbers?
A 45 and 90
B 60 and 105
C 40 and 85
D 50 and 95
Correct Answer:  A. 45 and 90
Explanation:

Let smaller number = x, larger = 2x.

Then 2x - x = 45, so x = 45.

Numbers are 45 and 90.

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Q.169 Medium Numbers
If three consecutive integers have a sum of 81, what is the largest of the three?
A 26
B 27
C 28
D 29
Correct Answer:  C. 28
Explanation:

Let integers be n-1, n, n+1.

Sum = 3n = 81, so n = 27.

The three integers are 26, 27, 28.

Largest = 28

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Q.170 Hard Numbers
A number consists of two digits. The sum of digits is 12 and the number is 6 more than 6 times the units digit. Find the number.
A 48
B 39
C 75
D 84
Correct Answer:  D. 84
Explanation:

Let tens digit = x, units digit = y.

Then x + y = 12 and 10x + y = 6y + 6.

From second: 10x = 5y + 6.

Substituting y = 12-x: 10x = 5(12-x) + 6 = 60 - 5x + 6.

So 15x = 66, x = 8, y = 4.

Number = 84

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