Quantitative Aptitude PYQs

Calculations:

Difference between green balls in Bag D and Bag C:

Bag D green = 62

Bag C green = 22

Difference = 62 – 22 = 40 =5t

So, t = 40 / 5 = 8

Calculations:

Ratio of red balls in Bag A to green balls in Bag B:

Red in A = 34

Green in B = 38

Ratio = 34 : 38 = 17 : 19

Calculations:

Total number of balls in Bag E:

Red = 72

Green = 28

Total = 72 + 28 = 100

Calculations:

Bag E red = 72

Bag B red = 42

Difference = 72 – 42 = 30

Calculations:

Average green balls in Bags A, B, and E:

Green in A = 44

Green in B = 38

Green in E = 28

Total = 44 + 38 + 28 = 110

Average = 110 ÷ 3 = 36.67

Given:

Time to cross the pole = 4 seconds

Time to cross the 75m platform = 9 seconds

Calculation:

Let the speed of train be x m/sec.

And length of train = L m

When train crosses the pole:

L = 4x 

When train crosses the platform:

L + 75 = 9x

Put L = 4x

4x + 75 = 9x

5x = 75

x = 15 m/sec = 15 × 18/5 = 54 km/hr

L = 4 × 15 = 60 m

∴The speed and length of train is 54 km/hr. and 60m respectively.

Given:

12 men and 15 women can complete a work in 24 days

The efficiency of a woman is 75% of a man

Concept Used:

Work done = efficiency × time

Calculation:

Let, the efficiency of a man = 4

The efficiency of a woman = 4 × 3/4 = 3

Total work = [(12 × 4) + (15 × 3)] × 24 = (93 × 24) unit

To complete the work in 12 days number of men required are

⇒ (93 × 24)/(12 × 4)

⇒ 93/2

∴ The correct answer is option 5

Calculation:

The series is

74 + 25= 99

99 – 49 = 50

50 + 81 = 131

131 – 121 = 10

10 + 169 = 179

∴ 125 is the wrong number in the series.

Calculation:

The series is

38 × 1 = 38

38 × 1.5 = 57

57 × 2 = 114

114 × 2.5 = 285

285 × 3 = 855

∴ 284 is wrong number in the series.

The series follows the following pattern:

43 + 1 = 65

53 + 2 = 127

63 + 3 = 219

73 + 4 = 347

83 + 5 = 517

93 + 6 = 735

∴ The wrong term in the series is 126.

The series follows the following pattern:

240 + 2² = 244 

244 + 3² = 253

253 + 5² = 278

278 + 7² = 327 

327 + 11² = 448

∴ The wrong term in the series is 276.

The series follows the following pattern:

351 – 17 = 334

334 – 34 = 300

300 – 51 = 249

249 – 68 = 181

181 – 85 = 96

∴ The wrong term in the series is 250.

Given:

The present ages of two cousins = 2 : 3

6 years ago

The ages of the cousins = 1 : 3

Calculation:

Let the present ages of the two Cousins be 2x and 3x respectively.

∴ According to the question:

⇒ (2x – 6)/(3x – 6) = 1/3

⇒ 6x – 18 = 3x – 6

⇒ 3x = 12

⇒ x = 4.

∴ required ratio:

(2x + 8) : (3x + 8)

⇒ 8 + 8 : 12 + 8 

⇒ 16 : 20

⇒ 4 : 5. 

∴ The ratio of the cousins' ages after 8 years is 4 : 5.

Given:

Two candidates appeared at an election. One of them get 9 votes more than the other and his vote was 56% of the sum of their total votes.

Calculation: 

Let their votes be (x + 9) and x

Then,  x + 9 = 56/100(x + 9 + x)

⇒ 25 (x + 9) = 14 (2x + 9)

⇒ 3x = 99

⇒ x = 33

∴ Their votes are 42 and 33

Given:

Priya’s investments = Rs. 10,400

Shanu’s investment = Rs. 36,400

Raj’s investment = Rs. 31,200

Shanu’s profit share = Rs. 11,200

Formula used:

Profit share = investment × time period

Calculation:

Ratio of investments in business by Priya, Shanu and Raj = 10400 ∶ 36400 ∶ 31200

⇒ 2 ∶ 7 ∶ 6

Let the total profit is 15 unit.

Now Shanu’s profit = 7 unit = Rs. 11,200

⇒ 1 unit = Rs. 1600

Total profit = 15 units = Rs. (15 × 1600)

⇒ Rs. 24,000

∴ Total profit earned by them is Rs. 24,000

Calculations:

Difference between items sold in February and April:

February sold = 65

April sold = 50

Difference = 15 = x

So, 7x = 105