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AFCAT Exam  >  AFCAT Tests  >  Mock Test: Numerical Ability - 3 - AFCAT MCQ

Mock Test: Numerical Ability - 3 - AFCAT MCQ


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15 Questions MCQ Test - Mock Test: Numerical Ability - 3

Mock Test: Numerical Ability - 3 for AFCAT 2024 is part of AFCAT preparation. The Mock Test: Numerical Ability - 3 questions and answers have been prepared according to the AFCAT exam syllabus.The Mock Test: Numerical Ability - 3 MCQs are made for AFCAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mock Test: Numerical Ability - 3 below.
Solutions of Mock Test: Numerical Ability - 3 questions in English are available as part of our course for AFCAT & Mock Test: Numerical Ability - 3 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 - 3 | 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 - 3 - Question 1
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Directions for Question: A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.

Q. If 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?

Detailed Solution for Mock Test: Numerical Ability - 3 - Question 1

►If 4 of the taps of set Z are closed, the net work done by Set Z would be -2.5% while the work done by Sets X and Y would remain 10% and 12.5% respectively.

►Thus, the total work per minute would be 20% and hence the tank would take 5 minutes to fill up.

Mock Test: Numerical Ability - 3 - Question 2
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In a three digit number the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?

Detailed Solution for Mock Test: Numerical Ability - 3 - Question 2

100a + 10b + c
c = 2b → b = c/2
c = 1.5a → a = c/1.5
c/1.5 + c/2 + c = 13
6.5c = 39
c = 6, b = 3, a = 4 ⇒ 436

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Mock Test: Numerical Ability - 3 - Question 3
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An amount of money is to be divided between P, Q and R in the ratio of 3:7:12.If the difference between the shares of P and Q is Rs.X, and the difference between Q and R’s share is Rs.3000. Find the total amount of money?

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

Answer – C.13200 Explanation : 12a-7a = 3000 5a = 3000 a = 600 7a-4a = x 3a = x x = 1800 22*600 = 13200

Mock Test: Numerical Ability - 3 - Question 4
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P is directly proportional to Q, and Q = 7 when P = 15, find P when Q = 14.
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 4

Mock Test: Numerical Ability - 3 - Question 5
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A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?
 
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 5

C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

Gain =(80/1600*100) % = 5%

Mock Test: Numerical Ability - 3 - Question 6
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Out of 13 applicants for a job there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 6

 

Mock Test: Numerical Ability - 3 - Question 7
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Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 7

Mock Test: Numerical Ability - 3 - Question 8
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If the edge of a cube is 1 cm then which of the following is its total surface area?
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 8
Total surface area of cube is 6*length^2
=6×1^2
=6×1
=6 cm2
Mock Test: Numerical Ability - 3 - Question 9
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A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then E
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 9

Given,
A ∝ B
B ∝ (1/C)
C ∝ D2
D ∝ ∛E
When A increases ⇒ B also increases ⇒ C decreases
Decrease in C results in decrease in D and decrease in D results decrease in E.

Mock Test: Numerical Ability - 3 - Question 10
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What will be the compound interest on a sum of Rs. 40,000 after 3 years at the rate of 11 p.c.p.a.? 
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 10

Amount after 3 years = P(1 + R/100)T
=> 40000(1 + 11/100)3
=> 40000(111/100)3
=> 40000[(111*111*111)/(100*100*100)]
=> (4*111*111*111)/100 
=> 54705.24
Compound Interest = 54705.24 - 40000 
= Rs. 14705.24

Mock Test: Numerical Ability - 3 - Question 11
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The ratio between the speeds of two trains is 7:8. If the second train runs 400 kms in 4 hours, then the speed of the first train is?
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 11

speed of second train = 400km in 4 hr 

 = 100km/hr

ratio of speeds is 7:8

7:8 = v:100

v = 87.5km/hr

Mock Test: Numerical Ability - 3 - Question 12
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A man buys 200 oranges for Rs 10. How many oranges a rupee can he sell so that his profit percentage is 25%?
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 12

So, he should sell 16 oranges in a rupee to make a profit of 25%.

Mock Test: Numerical Ability - 3 - Question 13
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The cost of an article was Rs.75. The cost was first increased by 20% and later on it was reduced by 20%. The present cost of the article is:
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 13

Initial Cost = Rs. 75 
After 20% increase in the cost, it becomes, 
(75 + 20% of 75) = Rs. 90 
Now, Cost is decreased by 20%, 
So cost will become, (90 - 20% of 90) = Rs. 72 
So, present cost is Rs. 72

Mock Test: Numerical Ability - 3 - Question 14
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The average age of Mr and Mrs Sinha at the time of their marriage in 1972 was 23 years. On the occasion of their anniversary in 1976, they observed that the average age of their family had come down by 4 years compared to their average age at the time of their marriage. This was due to the fact that their son Vicky was born during that period. What was the age of Vicky in 1980?
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 14

Sum of ages of Mr and Mrs Sinha in 1972 = 46 years Sum of age of their family in 1976 = 19 x 3 = 57 years

Sum of ages of Mr & Mrs Sinha in 1976 = (46 + 8) years = 54 years

their son’s age in 1976 = (57 - 54) years = 3 years 

Mock Test: Numerical Ability - 3 - Question 15
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How many times will the hands of a clock coincide in a day?
Detailed Solution for Mock Test: Numerical Ability - 3 - Question 15

The hands of a clock coincide 11 times in every 12 hours (Between 11 and 1, they coincide only once, at 12 o'clock).

12:00 am
1:05 am
2:11 am
3:16 am
4:22 am
5:27 am
6:33 am
7:38 am
8:44 am
9:49 am
10:55 am
12:00 pm
1:05 pm
2:11 pm
3:16 pm
4:22 pm
5:27 pm
6:33 pm
7:38 pm
8:44 pm
9:49 pm
10:55 pm

Hence the hands coincide 22 times in a day.

This is already given as a formula and it's is better to learn the answer by heart as 22 which can save time in competitive exams.(However you should know the theory behind).

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