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AFCAT Exam  >  AFCAT Tests  >  Mock Test: Numerical Ability - 4 - AFCAT MCQ

Mock Test: Numerical Ability - 4 - AFCAT MCQ


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15 Questions MCQ Test - Mock Test: Numerical Ability - 4

Mock Test: Numerical Ability - 4 for AFCAT 2024 is part of AFCAT preparation. The Mock Test: Numerical Ability - 4 questions and answers have been prepared according to the AFCAT exam syllabus.The Mock Test: Numerical Ability - 4 MCQs are made for AFCAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mock Test: Numerical Ability - 4 below.
Solutions of Mock Test: Numerical Ability - 4 questions in English are available as part of our course for AFCAT & Mock Test: Numerical Ability - 4 solutions in Hindi for AFCAT course. Download more important topics, notes, lectures and mock test series for AFCAT Exam by signing up for free. Attempt Mock Test: Numerical Ability - 4 | 15 questions in 20 minutes | Mock test for AFCAT preparation | Free important questions MCQ to study for AFCAT Exam | Download free PDF with solutions
Mock Test: Numerical Ability - 4 - Question 1
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A box contains tickets numbered from 1 to 24. 3 tickets are to be chosen to give 3 prizes. What is the probability that at least 2 tickets contain a number which is multiple of 3?

Detailed Solution for Mock Test: Numerical Ability - 4 - Question 1

From 1 to 24, there are 8 numbers which are multiple of 3
Case 1: 2 are multiple of 3, and one any other number from (24-8) = 16 tickets
8C2 * 16C1 / 24C3 = 56/253
Case 2: all are multiples of 3.
8C3 / 24C3 = 7/253
Add both cases.

Mock Test: Numerical Ability - 4 - Question 2
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A Boat going upstream takes 8 hours 24 minutes to cover a certain distance, while it takes 5 hours to cover 5/7 of the same distance running downstream.Then what is the ratio of the speed of boat to speed of water current?

Detailed Solution for Mock Test: Numerical Ability - 4 - Question 2

(S-R)*42/5 = (S+R)*7
S:R = 11:1

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Mock Test: Numerical Ability - 4 - Question 3
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325 – (12)² + 75 = (?)² – 68

Detailed Solution for Mock Test: Numerical Ability - 4 - Question 3

325 – (12)² + 75 = (?)² – 68
325 – 144 + 75 + 68 = (?)²
(?)² = 324
x = 18

Mock Test: Numerical Ability - 4 - Question 4
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Walking at 3/4 of his normal speed, a man takes 2(1/2) hours more than the normal time. Find thenormal time.
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 4

When his speed becomes 3/4th, his time would increase by 1/3rd. Thus, the normal time = 7.5 hrs.
(since increased time = 2.5 hrs).

Mock Test: Numerical Ability - 4 - Question 5
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If a certain sum of money becomes double at simple interest in 12 years, what would be the rate of interest per annum?
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 5

 100/12 = 8.33%

Mock Test: Numerical Ability - 4 - Question 6
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The average age of the group having 3 members is 84. One more person joins the group and now the average becomes 80. Now a fifth person comes whose age is 3 years more than that of fourth person replaces the first person. After this the average age of the group becomes 79. What is the age of the first person?
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 6

Let the ages of these are A, B, C, D, E

So A+B+C = 84*3 = 252

And A+B+C+D = 80*4 = 320

So D = 320-252 = 68,

so E = 68+3 = 71

Now B+C+D+E = 79*4 = 316

(A+B+C+D) – (B+C+D+E) = 320- 316

So A-E = 4, so

A = 71+4 = 75

Mock Test: Numerical Ability - 4 - Question 7
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Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent.
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 7

The interest earned per year would be 1500/3=500. This represents a 10% rate of interest.

Mock Test: Numerical Ability - 4 - Question 8
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The sum of the squares between three numbers is 5000. The ratio between the first and the second number is 3:4 and that of second and third number is 4:5.Find the difference between first and the third number.
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 8

Answer – A.20 Explanation : a^2 + b^2 + c^2 = 5000 a:b:c = 3:4:5 50x^2 = 5000.
X = 10.
5x – 3x = 2*10 = 20

Mock Test: Numerical Ability - 4 - Question 9
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Area of a trapezium = Half of the sum of the lengths of parallel sides × ______
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 9

Explanation:Area of a trapezium =( Half of the sum of the length of parallel sides )×(perpendicular distance between them)

Mock Test: Numerical Ability - 4 - Question 10
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If the selling price (SP) of an article is 4/3 of its cost price (CP), the percentage profit in the transaction is
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 10

Mock Test: Numerical Ability - 4 - Question 11
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The average of the first ten whole numbers is
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 11

Required average = (0 + 1 + 2 + … + 9)/10 = 45/10
= 4.5

Mock Test: Numerical Ability - 4 - Question 12
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₹ 1200 is lent out at 5% per annum simple interest for 3 years. Find the amount after 3 years.
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 12

The annual interest would be ₹ 60. After 3 years the total value would be 1200 + 60 x 3 = 1380

Mock Test: Numerical Ability - 4 - Question 13
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The curved surface areas of a right-circular cone and a hemisphere, having the same radius are in the ratio of  Find the ratio of the height of the cone to the radius of the hemisphere.
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 13


Here, 'l' is slant height,

As both have the same radius, therefore: 


Squaring both sides:

h/r = 3/1

Mock Test: Numerical Ability - 4 - Question 14
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A plane left half an hour later than the scheduled time and in order to reach its destination 1500 kilometre away in time, it had to increase its speed by 33.33 per cent over its usual speed. Find its increased speed.
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 14

 

Mock Test: Numerical Ability - 4 - Question 15
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In an election A got 55% of the total votes and the remaining votes were casted to B. If 10,000 votes of A are given to B, there would have been a tie. Find the number of total votes polled?
Detailed Solution for Mock Test: Numerical Ability - 4 - Question 15

Given:

In an election A got 55% of the total votes and the remaining votes were casted to B. If 10,000 votes of A are given to B, there would have been a tie

Formula used:

A got a% votes and B got b% votes, difference in the votes = (a - b) % of Total votes

Calculation:

Let the total votes be 100x

A Gets = 55x

B gets = 45x

Given that 10,000 votes of A given to B

As per question

⇒ 55x – 10,000 = 45x + 10,000

⇒ x = 2000

Total votes polled = 100x

⇒ 100 × 2000 = 200000

∴ Total votes polled is 200000

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