Quantitative Aptitude PYQs

Concept Used:

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

Calculation:

⇒ (212 ÷ 27) × 5 + 180 = ?% of 680

⇒ (2^{12 - 7}) × 5 + 180 = (?/100) × 680

⇒ 2⁵ × 5 + 180 = (?/10) × 68

⇒ 32 × 5 + 180 = (?/10) × 68

⇒ 160 + 180 = (?/10) × 68

⇒ 340 × (10/68) = ?

⇒ ? = 50

∴ The value of ? is 50

Calculation

Let speed of boat = x km/h.

Then, speed of stream = x − 0.4x = 0.6x

Downstream speed = boat + stream 

⇒ x + 0.6x = 1.6x

Given 1.6x = 16.

Thus,

⇒ x = 16/ 1.6 ​= 10 km/h

Calculation

First, side of square:

Side = 64/4 = 16 m

Length of rectangle = 16 + 4 = 20 

Area of rectangle = Length × Breadth = 20 × 12 = 240

Calculation

Total work =  LCM of 20 and 30 = 60

Efficiency of B is 60 /30 = 2

Total Efficiency of A and B together is 60/20 = 3

So, efficiency of A is 3 -2 = 1

So, A alone complete the work in 60 / 1 = 60 days

Calculation

Total boys = 420 + 380 + 320 + 580 + 350 = 2050

Total girls = 400 + 200 + 400 + 500 + 450 = 1950

Difference = 2050 − 1950 = 100

Calculation

Total students in E = 350 + 450 = 800

Students per teacher = 16

Number of teachers = 800 / 16 = 50

Answer: 50 teachers

Calculation

Number of boys in E = 350

Boys in F = 20% more than 350 = [350 + [20/100] × 350]] = 350 + 70 = 420

Total students in F = 950

Girls in F = 950 - 420 = 530

Answer: 530

Calculation

Boys : Girls in C = 320 : 400

Simplify the ratio:

320 : 400 = 4 : 5

Thus, x = 4 and y = 5

[x + y] = [4 + 5] =9

Answer: 9

Calculation

Total students in A = 420 + 400 = 820

Total students in B = 380 + 200 = 580

Now, required percentage = [820/580] × 100 = 141.38%

Approximate percentage = 141%

Calculation;

The given number series follows the pattern:

⇒ 3 + 1² = 4

⇒ 4 + 2² = 8

⇒ 8 + 3² = 17

⇒ 17 + 4² = 33

⇒ 33 + 5² = 58

∴ The value of ? is 58

Given:

The number series:

10, 15, 25, ?, 85, 165

Concept Used:

Number series following a fixed pattern.

Calculation;

The given number series follows the pattern:

10 + (2⁰ × 5) = 10 + 5 = 15

15 + (2¹ × 5) = 15 + 10 = 25

25 + (2² × 5) = 25 + 20 = 45

45 + (2³ × 5) = 45 + 40 = 85

85 + (2⁴ × 5) = 85 + 80 = 165

∴ The Missing Number in the given number series is 45

Calculation:

The series follows following pattern

⇒ 21

⇒ 21 + (11 × 1) = 32

⇒ 32 + (11 × 2) = 54

⇒ 54 + (11 × 3) = 87

⇒ 87 + (11 × 4) = 131

⇒ 131 + (11 × 5) = 186

∴ The missing number in place of ‘?’ is 87

Calculation:

The series follows the following pattern

⇒ 20 + 1³ = 21

⇒ 21 + 2³ = 29

⇒ 29 + 3³ = 56

⇒ 56 + 4³ = 120

⇒ 120 + 5³ = 245

∴ The Required term in the series will be 120

Calculation:

The series follows the following pattern

⇒ 25 + 5 = 30

⇒ 30 – 1 = 29

⇒ 29 + 5 = 34

⇒ 34 – 1 = 33

⇒ 33 + 5 = 38

⇒ 38 – 1 = 37

∴ The value of ? is 37

let the ratio be x

Number of 1 Re coin = 5x

Number of 2 Rs. Coin = 3x

Number of 5 Rs. Coin = 2x

So, total amount = 5x × 1 + 3x × 2 + 2x × 5 = 21x

But the given amount = 525

So, 21x = 525

Hence, x = 25

So the number of 1 Re coin = 25 × 5 = 125

So the number of 2 Rs. Coin = 25 × 3 = 75

So the number of 5 Rs. Coin = 25 × 2 = 50

Calculation:

37 - 13 = 24

109 - 37 = 72

325 - 109 = 216

The differences between consecutive terms are 24, 72, and 216.

Notice that each difference is a multiple of 24:

72 = 24 × 3

216 = 24 × 9

The next difference should be 24 × 27 = 648 (since 3² = 9 and 3³ = 27).

Now, add this difference to the last number in the series:

325 + 648 = 973

∴ The missing term in the series is 973.

Calculation:

18 ÷ 12 = 1.5

36 ÷ 18 = 2

90 ÷ 36 = 2.5

270 ÷ 90 = 3

The factors between consecutive terms are increasing by 0.5 each time: 1.5, 2, 2.5, 3.

To find the next term, multiply 270 by 3.5 (since the next factor should be 3.5):

270 × 3.5 = 945

∴ The missing term in the series is 945.

Calculation:

23 - 14 = 9

34 - 23 = 11

47 - 34 = 13

The differences between consecutive terms are 9, 11, and 13. These are increasing by 2 each time.

The next difference should be 15 (since 13 + 2 = 15).

Now, add this difference to the last number in the series:

47 + 15 = 62

∴ The missing term in the series is 62.

Calculation:

154 - 147 = 7

147 - 136 = 11

136 - 123 = 13

123 - 106 = 17

The differences between consecutive terms are 7, 11, 13, and 17. These differences are increasing by prime numbers.

The next difference should be 5 (the previous prime number before 7).

Now, add 5 to 154 to find the missing number:

154 + 5 = 159

∴ The missing term in the series is 159.

Calculation:

2978, ? , 746, 374, 188,95

Here logic used is:

2978           1490          746             374            188          95

          1588          744            372             186           93

                    ÷ 2            ÷ 2              ÷ 2              ÷ 2

∴ Missing tern is 1490.