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AFCAT Exam  >  AFCAT Tests  >  Mock Test: Numerical Ability - 8 - AFCAT MCQ

Mock Test: Numerical Ability - 8 - AFCAT MCQ


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15 Questions MCQ Test - Mock Test: Numerical Ability - 8

Mock Test: Numerical Ability - 8 for AFCAT 2024 is part of AFCAT preparation. The Mock Test: Numerical Ability - 8 questions and answers have been prepared according to the AFCAT exam syllabus.The Mock Test: Numerical Ability - 8 MCQs are made for AFCAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mock Test: Numerical Ability - 8 below.
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Mock Test: Numerical Ability - 8 - Question 1
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In an election 10% of the voters on the voters’ list did not cast votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he got 308 votes more than his rival. The number of voters on the list was:

Detailed Solution for Mock Test: Numerical Ability - 8 - Question 1

B. 6200
Explanation: Let total number of voters= x People who voted for the winner are = 0.47x People who voted for the loser are = 0.47x-308 People who cast blanks are = 60 and people who did not vote are = 0.1x solve the following equation 0.47x+0.47x-308+60+0.1x=x => x=6200

Mock Test: Numerical Ability - 8 - Question 2
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Find the perimeter of a rectangle whose length is 4 cm and breadth is 3 cm.

Detailed Solution for Mock Test: Numerical Ability - 8 - Question 2

Explanation:Length of the rectangle,l = 4cmBreadth of the rectangle,b = 3 cmPerimeter of a rectangle = 2(l+b) = 2(4+3) = 2x7 = 14 cm

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Mock Test: Numerical Ability - 8 - Question 3
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Kiran can do a work in 25 days, while Ravi can do the same work in 50 days. They started the work jointly. Few days later Sumit also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.600. What is the Share of Sumit?

Detailed Solution for Mock Test: Numerical Ability - 8 - Question 3

Efficiency of Kiran = 4%
Efficiency of Ravi = 2%
[(4+2)*10] = 60%
The remaining work done by Sumit = 40%.
40% of 600 = 240

Mock Test: Numerical Ability - 8 - Question 4
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A vendor has two types of grapes. One is the fresh grapes containing 80% water and dry grapes containing 25% water. He sells 20 kg dry grapes, by adding water to the dry grapes, at cost price. What is the total profit percentage when after adding water the weight of 20 kg dry grapes increase in the proportion of water in fresh grapes?
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 4

Fresh grapes
Water: Pulp = 80% : 20% = 4 : 1
Dry grapes
Water: Pulp = 25% : 75% = 1 : 3
So out of 20 kg dry grapes, Water : Pulp = 5 kg : 15 kg
After adding of water the ratio of water : pulp is same as the fresh grapes = 4 : 1
After adding water the quantity of Water and Pulp are 60 kg and 15 kg respectively.
% = 55/20 * 100 = 275%

Mock Test: Numerical Ability - 8 - Question 5
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5, 6, 9, 32, 121, ?
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 5

5 * 1 + 1 = 6
6 * 2 – 3 = 9
9 * 3 + 5 = 32
32 * 4 – 7 = 121
121 * 5 + 10 = 615

Mock Test: Numerical Ability - 8 - Question 6
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Monthly salary of A is 30% more than B’s monthly salary and B’s monthly salary is 20% less than C’s. If the difference between the monthly salaries of A and C is Rs 800, then find the annual salary of B.
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 6

E) None of these Explanation: Let C’s monthly salary = Rs 100, then B’s = (100-20)% of 100 = 80, and A’s monthly = (100+30)% * 80 = 104
If difference between A and C’s monthly salary is Rs 4 then B’s monthly salary is Rs 80
So if difference is Rs 800, B’s monthly salary is (80/4) * 800 = 16,000 So annual salary = 12*16,000

Mock Test: Numerical Ability - 8 - Question 7
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Two numbers are respectively 40% and  60% more than than the third number.The ratio of the two number is
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 7

Answer – B) 7:8 Explanation : Let third number = x (140/100)x = (7/5)x (160/100)x = (8/5)x (7/5) : (8/5) = 35 : 40 = 7 : 8

Mock Test: Numerical Ability - 8 - Question 8
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A closed wooden box measures externally 10 cm long, 8 cm broad and 6 cm high. Thickness ofwood is 0.5 cm. Find the volume of wood used.
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 8

Volume of wood used = External volume – Outer Volume
fi (10 × 8 × 6) – (10 – 1) × (8 – 1) × (6 – 1)
fi 480 – (9 × 7 × 5) = 165 cm2

Mock Test: Numerical Ability - 8 - Question 9
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2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 9

2m + 3w = 4, 3m + 2w = 3
So 4(2m + 3w) = 3(3m + 2w)
8m + 12w = 9m + 6w
6w = 1m
Given 2m + 3w = 4, so 2*(6w) + 3w = 4, so 15 women in 4 days, so 10 women in (15*4)/10 = 6 days

Mock Test: Numerical Ability - 8 - Question 10
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a2 + b2 + c2 = ab + bc + ca then the value of (a+b)/(b+c) is
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 10

Equation will be satisfied when a=b=c=1
(a+b)/c = (1+1)/(1+1) = 2/2 = 1

Mock Test: Numerical Ability - 8 - Question 11
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A man gains 15% by selling an article for a certain price. If he sells it at double the price, then the % of profit will be
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 11

CP = 100, 15% GAIN = 115
SP = 230
P = 230-100 = 130
% = 130%

Mock Test: Numerical Ability - 8 - Question 12
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The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 12

Let age of the son before 10 years = x and  age of the father before 10 years = 3 x
(3x + 20 ) = 2 ( x + 20 )
⇒ x = 20
Age of the son at present = x + 10 = 20 + 10 = 30
Age of the father at present = 3 x + 10 = 3 × 20 + 10 = 70
Required ratio = 70 : 30 = 7 : 3

Mock Test: Numerical Ability - 8 - Question 13
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A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.A.
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 13

If A completes a work in 1 day, B completes the same work in 3 days
Hence, if the difference is 2 days, B can complete the work in 3 days
=> if the difference is 60 days, B can complete the work in 90 days
=> Amount of work B can do in 1 day= 1/90
Amount of work A can do in 1 day = 3 × (1/90) = 1/30 
Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45
=> A and B together can do the work in 45/2 days = 22 ½ days

Mock Test: Numerical Ability - 8 - Question 14
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The ratio of the number of girls to the number of boys is the 5 : 2 in a class of 21 students. A group of three students is to to be selected at random amongst them. What is the probability that the selected group of students contain one boy and two girls?
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 14

5:2 = 15+6 = 21
n(S) = 21C3 = 1330
n(E) = 15C1 × 6C2 = 15 × 15 = 225
P = 225/1330 = 45/266

Mock Test: Numerical Ability - 8 - Question 15
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Rakesh spent 30 percent of his monthly income on food items. Of the remaining amount he spent 60 percent on clothes and bills. Now he save fiveseventh of the remaining amount and the he saves 120000 yearly, then find his monthly income.
Detailed Solution for Mock Test: Numerical Ability - 8 - Question 15

Answer – 2. 50000 Explanation : Let monthly income is P (70/100)*P*(40/100)*5/7 = 10000
P = 50000

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