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AFCAT Exam  >  AFCAT Tests  >  Mock Test: Numerical Ability - 9 - AFCAT MCQ

Mock Test: Numerical Ability - 9 - AFCAT MCQ


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15 Questions MCQ Test - Mock Test: Numerical Ability - 9

Mock Test: Numerical Ability - 9 for AFCAT 2024 is part of AFCAT 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.
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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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