Numerical Ability MCQ Quiz - Objective Question with Answer for Numerical Ability - Download Free PDF

Given:

In a right angled triangle, two sides are 3 cm and 4 cm.

Formula used:

Hypotenuse (c) =

Calculation:

a = 3 cm, b = 4 cm

⇒

⇒

⇒

⇒ c = 5 cm

∴ The correct answer is option (3).

Given:

Couple: 1 female (wife) and 1 male (Husband)

Sons: 3 male

Daughters: 2 female

Elder son's wife: 1 female

Elder son's daughters: 2 female

Calculation:

1. Mother (wife of the couple)

2. Daughter 1

3. Daughter 2

4. Elder son's wife

5. Elder son's daughter 1

6. Elder son's daughter 2

Total females = 1 + 2 + 1 + 2 = 6

∴ There are 6 females in the family.

Hence the correct answer is "Option 4"

CONCEPT:

Average Calculation

• The average of a set of numbers is the sum of the numbers divided by the quantity of the numbers.
• Using the average, we can find the total sum of the numbers in the set.

EXPLANATION:

• Given:
  • The average marks of 15 papers = 42
  • The average marks of the first 8 papers = 45
  • The average marks of the last 8 papers = 36
• Find the total marks:
  • Total marks of 15 papers = 15 × 42 = 630
  • Total marks of the first 8 papers = 8 × 45 = 360
  • Total marks of the last 8 papers = 8 × 36 = 288
• Since the 8th paper is included in both the first 8 and the last 8 papers, it is counted twice:
  • So, Total marks (1st to 15th) = Marks of 1st to 7th papers + Marks of the 8th paper twice + Marks of 9th to 15th papers
  • Total marks = 360 + 288 - Marks of the 8th paper
  • So, 630 = 648 - Marks of the 8th paper
  • Marks of the 8th paper = 648 - 630
  • Marks of the 8th paper = 18

Therefore, the marks of the 8th paper are 18.

The correct answer is '49.6%'

Key Points

Given:

A single discount equivalent to a series of discounts 10%, 20% and 30%

Calculation:

To find the equivalent single discount, we can multiply the original price by the product of the individual discounts as decimals:

Price after first discount = Original price ×  (1 - 10/100) = 0.9 × Original price

Price after second discount = Price after first discount × (1 - 20/100)

⇒  0.9 × 0.8 × Original price

⇒  0.72 × Original price

Price after third discount = Price after second discount × (1 - 30/100)

⇒  0.72 × 0.7 × Original price

⇒  0.504 * Original price

So, the equivalent single discount would be 1 - 0.504 = 49.6%.

1−0.504=0.496" id="MathJax-Element-56-Frame" role="presentation" style="position: relative;" tabindex="0">1−0.504=0.496" id="MathJax-Element-27-Frame" role="presentation" style="position: relative;" tabindex="0">" id="MathJax-Element-30-Frame" role="presentation" style="position: relative;" tabindex="0">" id="MathJax-Element-3-Frame" role="presentation" style="position: relative;" tabindex="0"> $1 - 0.504 = 0.496$

Given:

The batsman scores 97 runs in the 15th inning.

This increases his average by 5 runs.

Formula used:

Average = Total runs / Number of innings

Solution:

Let x be the batsman's average after 14 innings.

We know that the total runs scored by the batsman in 14 innings is 14x.

According to the question:

14x + 97 = 15(x + 5)

14x + 97 = 15x + 75

x = 22

Average after 15th innings  = x + 22 = 5 + 22 = 27

∴ Option 3 is the correct answer.

Given:

Percentage of Taxes = 5

Percentage of Interest on Loans = 7.5

Calculation: 

Difference between the expense of Interest on Loans and Taxes = 7.5 - 5

⇒ 2.5 

∴ The required percentage = 2.5/5 × 100 

⇒ 50%

Formula used:

Percentage Increase = [] × 100

Calculation: 

Increase percent in 2015 = (350 - 320)/ 320 × 100 = 30/320 × 100 = 9.37%

Increase percent in 2016 = (380 - 350)/ 350 × 100 = 30/350 × 100 = 8.57%

Increase percent in 2017 = (400 - 380)/ 380 × 100 = 20/380 × 100 = 5.26%

Decrease percent in 2018 = (400 - 280)/ 400 × 100 = 120/400 × 100 = 30%

Increase percent in 2019 = (300 - 280)/ 280 × 100 = 20/280 × 100 = 7.14%

∴ In 2017 the percentage increase in the revenue as compared to its preceding year is below 6%.

Calculation:

Total production = (600 + 628 + 750 + 500 + 570) tones = 3048 tons

Total sales = (450 + 525 + 500 + 400 + 516) tons = 2391 tons 

∴ Percentage of the total sales = 2391/3048 × 100 

⇒ 78.44%

Given data:

A's time for 80 pages: 4 hours

B's time for 80 pages: 3 hours 20 minutes

Concept: Work and time ratio.

Calculation:

The ratio of work rates of A and B = B's time/A's time = 4/3.333 = 1.2

Ratio of pages = 1.2 : 1 = 6 ∶ 5

A's share of 121 pages = 5/11 × 121 = 55 pages

Hence, A had to type 55 pages.

Given:

Speed from station P to station Q: 70 km/h

Speed from station Q to station P: 90 km/h

Formula:

Average speed = 2xy/x + y

Solution:

Average speed = (2 × 70 × 90)/70 + 90 = 78.75 km/h

Therefore, the average speed of the bus during the entire journey is 78.75 km/h

Formula used:

Percentage Increase = (Production of current year - Production of previous year)/ Production of Previous year × 100

Calculation:

Percentage increase in the production of medicines of the year 2011 = (60 - 40)/40 × 100 = 20/40 × 100 = 50%

Percentage increase in the production of medicines of the year 2015 = (80 - 60)/60 × 100 = 20/60 × 100 = 100/3%

∴ The required ratio = 50% : 100/3%

⇒ 1 : 2/3

⇒ 3 : 2

Calculation:

In 2015, No. of employees in all department = 20 + 40 + 50 + 70 + 80 + 30 = 290

In 2018, No. of employees in all department = 30 + 70 + 80 + 90 + 60 + 30 = 360

Difference = 360 - 290 = 70

According to question,

No of employees added = 80

Fired employees from C = 80 - 70 = 10

Strength of C in 2018 = 80              (Given)

If not fired, strength of C in 2018 = 80 + 10 = 90

Strength of department C in 2018 would have been greater by = (10/80) × 100

⇒ 12.5%

∴ Option 1 is the correct answer.

Given:

No of the students who obtained marks between 200 and 300

⇒ 45 + 60 = 105 

No of students who obtained marks between 350 or more marks

⇒ 40 + 35 = 75

Calculation:

⇒ The required percent = (105 - 75)/75 × 100

⇒ 30/75 × 100 

⇒ 40%

∴ The answer is 40%.

Calculation:

Average Export diamonds for 7 years = Total export / Total no of years

⇒ (7.2 + 8.5 + 9.8 + 10.9 + 11.8 + 11.5 + 12.4)/7 = 72.1/7 

⇒ 10.3 crores

In the given 4 years, the export is more than the average export:

⇒ 2011 = 10.9 crores

⇒ 2012 = 11.8 crores

⇒ 2013 = 11.5 crores 

⇒ 2014 = 12.4 crores

∴ The no of years where export is more than the average export is 4.