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AFCAT Exam  >  AFCAT Tests  >  IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025  >  Mock Test: Numerical Ability - 9 - AFCAT MCQ

Mock Test: Numerical Ability - 9 - AFCAT MCQ


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15 Questions MCQ Test IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 - Mock Test: Numerical Ability - 9

Mock Test: Numerical Ability - 9 for AFCAT 2024 is part of IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 preparation. The Mock Test: Numerical Ability - 9 questions and answers have been prepared according to the AFCAT exam syllabus.The Mock Test: Numerical Ability - 9 MCQs are made for AFCAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mock Test: Numerical Ability - 9 below.
Solutions of Mock Test: Numerical Ability - 9 questions in English are available as part of our IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 for AFCAT & Mock Test: Numerical Ability - 9 solutions in Hindi for IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 course. Download more important topics, notes, lectures and mock test series for AFCAT Exam by signing up for free. Attempt Mock Test: Numerical Ability - 9 | 15 questions in 20 minutes | Mock test for AFCAT preparation | Free important questions MCQ to study IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 for AFCAT Exam | Download free PDF with solutions
Mock Test: Numerical Ability - 9 - Question 1
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Vijay takes 4 hr in walking at certain place and return back. While it takes 3 hrs in walking at certain place and riding back. Find the time Vijay will take to ride both sides

Detailed Solution for Mock Test: Numerical Ability - 9 - Question 1

W + W = 4. W =2
W+ R = 3. R =1
So to ride both direction, it will take 1+1 = 2 hrs.

Mock Test: Numerical Ability - 9 - Question 2
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The ratio of the incomes of A and B last year was 9 : 13. Ratio of their incomes of last year to this year is 9 : 10 and 13 : 15 respectively. The sum of their present incomes is Rs 50,000. What is the present income of B?

Detailed Solution for Mock Test: Numerical Ability - 9 - Question 2

D) Rs 30,000 Explanation: Ratio of last year income to this year income of A is 9 : 10. So income of A last year is 9x and this year is 10x.
Ratio of last year income to this year income of B is 13 : 15. So income of B last year is 13y and this year is 15y.
So ratio of the incomes of A and B last year was 9x : 13y Now given that ratio of the incomes of A and B last year was 9 : 13.
So 9x/13y = 9/13 This gives x = y Total of incomes of A and B this year = 10x+15y = 10x+15x = 25 x             (because x=y)So 25x = 50,000 This gives x = 2,000 So present income of B = 15y = 15x = 15*2000 = 30,000

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Mock Test: Numerical Ability - 9 - Question 3
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An urn contain 6 orange, 4 green,3 pink and 4 black balls

Q.

If 3 balls are picked at random, what is the probability that all are pink ?

Detailed Solution for Mock Test: Numerical Ability - 9 - Question 3

17C3 = 17*16*15/3*2*1 = 4080/6 = 680
3C3 = 1
P = 1/680

Mock Test: Numerical Ability - 9 - Question 4
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The average of the first ten odd numbers is
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 4

The sum of the first n odd numbers = n2. In this case n = 10 → Sum = 102 = 100.
Required average = 100/10 = 10.

Mock Test: Numerical Ability - 9 - Question 5
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By which of the following numbers must 34300 be multiplied in order to make it a perfect square?
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 5

34300 = 7 × 7 × 7 × 5 × 5 × 2 × 2 = 73 × 52 × 22
To make 34300 a perfect square, multiply it by 7.

Mock Test: Numerical Ability - 9 - Question 6
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P, Q and R are employed to do a piece of work for Rs. 529. P and R are supposed to finish 19/23 of the work together. How much shall be paid to Q?  
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 6

Work done by Q

Mock Test: Numerical Ability - 9 - Question 7
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The average of three distinct positive integers is 11. What can be the maximum possible value that the greatest number of these three can take?
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 7

To get the greatest possible value for one number, the other two should be as small as possible sum of the three numbers = 33.

Since the numbers are positive distinct integers, the two numbers can be 1 and 2.

So, the third will be 30, which is the maximum possible value.

Mock Test: Numerical Ability - 9 - Question 8
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A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 8

Assume the weight of the heaviest piece = 5x
Then, the weight of the lightest piece = x
So, the weight of medium weighted piece = x + 18
∴ (5x) + (x + 18) + (x) = 60
⇒ x = 6
So, the weight of the heaviest piece = 5 × 6 = 30 grams

Mock Test: Numerical Ability - 9 - Question 9
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In an election, 3/5th of the voters promised to vote for X and the rest promised to vote for Y. Out of these, on the last day, 15% of the voters of X went back on their promise to vote for X and instead voted for Y. 25% of the voters of Y went back on their promise to vote for Y and voted for X instead. X won by 22 votes. The total number of votes for X is
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 9

Initially, vote share of X = 60%
Vote share of Y = 40%
According to the question, 15% of the vote share of X is added in vote share of Y; and 25% of the vote share of Y is added to the vote share of X.
Last day, total vote share:
Vote share of X = 60% - 9% + 10% = 61%
Vote share of Y = 40% - 10% + 9% = 39%
i.e X won by 22% by Y.
22% is equal to 22. (Given)
So, total number of votes is 100.
Vote share of X is 61%, i.e. 61 votes for X.

Mock Test: Numerical Ability - 9 - Question 10
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If u is an even number and v and w are odd numbers, then which of the following is not an odd number?
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 10

Let (u, v, w) be (4, 1, 3), respectively.
Start testing from the last choice.
(5): uv + w = 4 + 3 = 7, which is odd
(4): (v + w)2 - u2 = 16 - 16 = 0,
So, we can stop here and choose (4) as the answer.
(You can independently verify that the other three choices are odd integers)

Mock Test: Numerical Ability - 9 - Question 11
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A, B and C are three pipes attached to a cistern. A and B can fill the cistern respectively in 20 and 30 minutes, while C can empty the cistern in 15 minutes. If A, B and C be kept open successively for 1 minute each, how soon will the cistern be filled?  
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 11

LCM of 15, 20 and 30 is 60.
Let the capacity of tank be 60 liters.
A and B fill the tank at a rate of 3 liters per minute and 2 liters per minute, respectively. C empties the tank at a rate of 4 liters per minute.
If opened successfully for 1 minute each, 1 liter will be filled in 3 minutes.
So, 55 liters will be filled in 55 × 3 = 165 minutes
After the 165th minute, tap A and B will fill the left capacity of 5 liters in 2 minutes.
So, the total time taken = 167 minutes

Mock Test: Numerical Ability - 9 - Question 12
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A cellular phone when sold for ₹ 3808 fetches a profit of 12%. Find the cost price of the cellular phone.
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 12

1.12 x Price = 3808 → Price = 3400.

Mock Test: Numerical Ability - 9 - Question 13
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Find the principal if compound interest is charged on the principal at the rate of  % per annum for two years and the sum becomes 196.
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 13

Mock Test: Numerical Ability - 9 - Question 14
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The height of a cylinder is 14 cm and its curved surface area is 264 sq. cm. Find the radius of its base.  
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 14

Curved surface area of a cylinder = 2πrh
Given: h = 14 cm and curved surface area = 264 cm2
∴ 2πrh = 264
r = 3 cm

Mock Test: Numerical Ability - 9 - Question 15
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A shopkeeper purchased a box containing 50 pens for Rs. 500. He sold some of these pens at a profit of 30%. On the remaining pens, he incurred a loss of 10%. If his overall profit on the entire box was 10%, then how many of the pens did he sell at profit?
Detailed Solution for Mock Test: Numerical Ability - 9 - Question 15

CP of 50 pens = Rs. 500
Overall profit = 10%

Let the number of pens sold at profit be x.
Then, the number of pens sold at loss = 50 - x
Profit on selling x pens = 30%
CP of x pens = Rs. 10x

= 500 - 10x - 50 + x
= 450 - 9x … (2)
Now, (1) + (2) = 550 (Total SP)
 550 = 450 - 9x + 13x
 100 = 4x
 x = 25
Number of pens sold at profit = 25

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