Quantitative Aptitude PYQs

Follow BODMAS rule to solve this question, as per the order given below, 

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated 

105 + 35 – 23 × 5 = √?

⇒ 140 – 115 = √?

⇒ 25 = √?

∴ ? = 625

Given:

∛512 × √36 – ? × 16 = 16

Concept:

Calculation:

∛512 × √36 – ? × 16 = 16

⇒ 8 × 6 – ? × 16 = 16

⇒ 48 – ? × 16 = 16

⇒ 48 – 16 = ? × 16

⇒ 32 = ? × 16

∴ ? = 2

Concept:

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculation:

Given expression is 

(84 × 16 ÷ 4 of 3 - 2) =? - 45 

⇒ (84 × 16 ÷ 12 - 2) =? - 45 

⇒ (84 × (4/3) - 2) =? - 45 

⇒ (112 - 2) = ? - 45

⇒ 110 + 45 =?

∴ ? = 155

Follow BODMAS rule to solve this question, as per the order given below, 

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated 

14% of 300 + 18% of 500 = ?

⇒ 42 + 90 = ?

∴ ? = 132

Given:

Age of Leo : Age of David = 4 : 3

Age of Leo after 5 years : Age of David after 5 years = 9 : 7

Calculation:

Let us assume,

Present age of Leo = 4x

Present age of David = 3x

Difference in their ages = 4x – 3x = x

ATQ,

(4x + 5)/(3x + 5) = 9/7

⇒ 28x + 35 = 27x + 45

⇒ x = 10

∴ Difference in their ages is 10 years.

Given: 

Mean of 5 number = 30

When one of the numbers is excluded, the mean gets reduced by 4.

Calculation:

Sum of these 5 number = (30 × 5) = 150

Mean of the remaining 4 numbers = (30 - 4) = 26

Sum of these remaining 4 number = (26 × 4) = 104

Excluded number = (Sum of the given 5 numbers) - (sum of the remaining 4 numbers) = 150 - 104  =  46

∴ The excluded number is 46

Given:

Interest = 4005

Rate = 9%

Time = 5 years

Formula:

Simple interest = Principal × rate × time/100

Calculations:

Principal = (100 × 4005)/5 × 9

⇒ (100 × 4005)/45

⇒ Rs 8900

∴ The sum is Rs. 8900

GIVEN :

Ratio of income of A and B = 3 : 2

Ratio of expenditure of A and B = 8 : 5

 

CONCEPT :

Ratio method

 

ASSUMPTION :

Let the income of A and B be 3x and 2x respectively

And, let the expenditure of A and B be 8y and 5y respectively

 

CALCULATION :

According to question

3x – 8y = 6000     ----(1)

2x – 5y = 5000     ----(2)

By equating equation 1 and 2

We get x = 10,000 and y = 3000

So, income of A = 3 × 10000 = Rs. 30,000

The series follows the following pattern:

10 + 2² = 14

14 + 3³ = 41

41 + 5² = 66

66 + 7³ = 409

409 + 11² = 530

The series follows the following pattern:

9 × 2 = 18

18 × 3 = 54

54 × 4 = 216

216 × 5 = 1080

1080 × 6 = 6480

The series follows the following pattern:

100 – 11 = 89

89  – 10 = 79

79  – 11 = 68

68 – 10 = 58

58 – 11 = 47

∴ The missing term in the series is  47.

The series follows the following pattern:

2 + 5 = 7

7 + 7 = 14

14 + 9 = 23

23 + 11 = 34

34 + 13 = 47

∴ The missing term in the series is 23.

The series follows the following pattern:

24 + 4 = 28

28 + 8 = 36

36 + 16 = 52

52 + 32 = 84

84 + 64 = 148

Given:

Manisha scores 35% and fail by 15 marks

Deepti scores 45% marks and get 35 more than the passing marks

Calculations:

Let total number in examination be x.

Manisha’s passing marks = x × 35/100 + 15

Deepti’s passing marks = x × 45/100 – 35

⇒ x × 35/100 + 15 = x × 45/100 – 35

⇒ 10x/100 = 50

⇒ x = 500

Manisha’s score = 500 × 35/100 = 175

Deepti’s score = 500 × 45/100 = 225

Passing marks = 225 – 35 = 190

∴ Passing marks = 190.

Given:

Ratio of X and Y capital = 5 : 2.

Formula used:

Share of profit = amount invested × time period

Calculation:

Ratio of share of profit = X : Y

(5 × 10) : (2 × t) = 5 : 1; t = 5 months

Calculation:

Monday participants = 123, Thursday participants = 127

Percentage change = \(\frac{127 - 123}{123} \times 100 = \frac{4}{123} \times 100 = 3.25%\)

Answer: 3.25% increase

Calculation:

Total participants on Tuesday = 139 + 143 + 155 = 437

Increased by 20% = 437 × 1.20 = 524.4 (rounded to 524)

Difference = 524 - 437 = 87

Answer: 87 more participants

Calculation:

Zumba (Wednesday + Thursday) = 168 + 159 = 327

Cycling (Monday + Tuesday) = 146 + 155 = 301

Ratio = 327 : 301

Answer: 327:301

Calculation:

Monday: |123 - 146| = 23

Tuesday: |139 - 155| = 16

Wednesday: |114 - 132| = 18

Thursday: |127 - 149| = 22

Answer: Monday, Difference = 23

Calculation:

Zumba participants = 157 + 143 + 168 + 159 = 627

10% of Zumba participants on each day = 10% of 627 = 62.7

Unique Zumba participants = 627 - 62.7 = 564.3 (rounded to 564)

Answer: 564 unique participants