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Mock Test: Numerical Ability - 1 - AFCAT MCQ


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15 Questions MCQ Test - Mock Test: Numerical Ability - 1

Mock Test: Numerical Ability - 1 for AFCAT 2024 is part of AFCAT preparation. The Mock Test: Numerical Ability - 1 questions and answers have been prepared according to the AFCAT exam syllabus.The Mock Test: Numerical Ability - 1 MCQs are made for AFCAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mock Test: Numerical Ability - 1 below.
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Mock Test: Numerical Ability - 1 - Question 1

Sailesh is working as a sales executive with a reputed FMCG Company in Hyderabad. As per the Company’s policy, Sailesh gets a commission of 6% on all sales upto Rs. 1,00,000 and 5% on all sales in excess of this amount. If Sailesh remits Rs. 2,65,000 to the FMCG company after deducting his commission, his total sales were worth:

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

Let total sales be ‘x’

The commission that Sailesh will get is x – 265000

He gets 6% on sales upto 100000 and 5% on sales greater than that.

Calculating his commission on total sales:

0.06*100000 + 0.05(x-100000)

Equating,

0.05x + 1000 = x – 265000

0.95x = 266000

x= 280000

Hence, his sales were worth 280,000

Mock Test: Numerical Ability - 1 - Question 2

12.5 * 14 ÷ 8.75 + 12 = 20 + ? 

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 2

12.5 * 1.6 = 20 ; 20 + 12 – 20 = 12

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Mock Test: Numerical Ability - 1 - Question 3

The average of 15 numbers is 18. If each number is multiplied by 9, then the average of the new set of numbers is:

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

When we multiply each number by 9, the average would also get multiplied by 9.

Hence, the new average = 18 X 9 = 162.

Mock Test: Numerical Ability - 1 - Question 4

In a library, the ratio of number of story books to that of non-story books was 4:3 and total number of story books was 1248. When some more story books were bought, the ratio became 5:3. Find the number of story books bought.

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 4
  • 1248 + M = 312 x 5
  • M = 1560 - 1248 = 312

 

Mock Test: Numerical Ability - 1 - Question 5

Two sprinters run the same race of100 m One runs at a speed of 10 m/s and the other runs at 8 m/s. By what time will the first sprinter beat the other sprinter?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 5

Correct option is C
Time taken by first sprinter 
= 100/10 = 10sec
Time taken by second sprinter 
= 100/80 = 12.5sec
Difference = 12.5 - 10 = 2.5 sec

Mock Test: Numerical Ability - 1 - Question 6

Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question: 125, 80, 45, 20,?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 6

1st term = 125
2nd term = 125 - 45 = 80
3rd term = 80 - 35 = 45
4th term = 45- 25 = 20

⇒ For every next term, preious term is substracteed in the order: - 45, - 35, - 25, .....

So, missing term = 20 - 15 = 5

Mock Test: Numerical Ability - 1 - Question 7

A feeding bottle is sold for Rs. 150. Sales tax accounts for one-fifth of this and profit one-third of the remainder. Find the cost price of the feeding bottle. 

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 7

Sales tax = 150 / 5 = 30
∵ SP contains Rs. 30 component of sales tax.
Of the remainder (150 – 30 = 120) 1/3rd is the profit.
Thus, the profit = 120 / 3 = 40
Hence, Cost price = 120 – 40 = 80

So option B is correct

Mock Test: Numerical Ability - 1 - Question 8

A sum fetched a total simple interest of Rs. 929.20 at the rate of 8 p.c.p.a. in 5 years. What is the sum?

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

Given, SI = Rs 929.20
P = ?
T = 5 years
R = 8%
P = (100 x SI) / RT
⇒ (100 x 929.20) / (8 x 5)
⇒ Rs. 2323

Mock Test: Numerical Ability - 1 - Question 9

A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 9
  • Total number of outcomes possible when a die is rolled, n(S) = 6 (? 1 or 2 or 3 or 4 or 5 or 6)
  • E = Event that the number shown in the dice is divisible by 3 = {3, 6}
    Hence, n(E) = 2

Mock Test: Numerical Ability - 1 - Question 10

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 10

Mock Test: Numerical Ability - 1 - Question 11

Find the perimeter of the a square with side 4cm.

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 11
Because the perimeter of square is 4×side
so, 4×4=16
Mock Test: Numerical Ability - 1 - Question 12

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

4, 9, 25, ?, 121, 169, 289, 361

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 12

The given series consists of squares of consecutive prime numbers

i.e. 22, 32, 52,.....,

112, 132, 172, 192.

So, missing term = 72 = 49.

Mock Test: Numerical Ability - 1 - Question 13

In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 13

Answer – B. 13 and 27 Explanation : 20…………………….30
…………23.25…………..
6.75…………………….3.25
Total number of boys and Total number of girls = 13 and 27

Mock Test: Numerical Ability - 1 - Question 14

A Boat takes 128 min less to travel to 48 Km downstream than to travel the same distance upstream. If the speed of the stream is 3 Km/hr. Then Speed of Boat in still water is?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 14

32/15 = 48(1/s-3 – 1/s+3) s = 12

Mock Test: Numerical Ability - 1 - Question 15

Ajay lent Rs.8800 to be divided between his two sons aged 11 years and 13 years such that both of them would get an equal amount when lent at the rate of 10% SI when they attain 18 years of age. What is the share of elder in Rs.8800?

Detailed Solution for Mock Test: Numerical Ability - 1 - Question 15

Answer – 4. 4675 Explanation : x+x*7*10/100 = (8800-x)+(8800- x)*5*10/100 x = 4125 elder = 8800-4125 = 4675

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