The correct answer is option 2 i.e. 23: 33: 60.

Let the salaries of a father, mother, and daughter be 2x, 3x, and 5x respectively.

The increased salary of father = 2x × 1.15 = 2.3x

The increased salary of mother = 3x × 1.1 = 3.3x

The increased salary of daughter = 5x × 1.2 = 6x

Hence, the required ratio = 2.3x : 3.3x : 6x = 23 : 33 : 60

The correct answer is Option 1 i.e. 40.58 minutes.

Tap A can fill the bathtub in 42 minutes.

Part of a bathtub filled by tap A in 1 minute = 1/42

Tap B can fill the bathtub in 48 minutes.

Part of a bathtub filled by tap B in 1 minute = 1/48

Let’s assume that the drain pipe can empty the bathtub in x minutes.

Part of bathtub emptied by the outlet pipe in 1 minute = 1/x

According to the question - 

⇒ (1/42 + 1/48 - 1/x) = 1/50

⇒ 1/x = 1/42 + 1/48 - 1/50

⇒ 1/x = (200 + 175 - 168)/8400

⇒ 1/x = 207/8400

⇒ x = 8400/207 = 40.5797

which is equal to 40.58 minutes

The correct answer is Option 3 i.e. 125%.

45% of Ram’s money is added to 50% of Soham’s money

⇒ 45% × Ram + 50% × Soham = 86% × Soham

⇒ 45 × Ram + 50 × Soham = 86 Soham

⇒ 45 × Ram = 86 × Soham - 50 × Soham

⇒ 45 × Ram = 36 × Soham

⇒ Ram/Soham = 36/45 = 4/5

⇒ Ram = 4/5 × Soham

So,

Percentage = Soham/(4/5 × Soham) × 100

⇒ 5/4 × 100 = 25 × 5 = 125%

The correct answer is Option 2 i.e. 12 years.

The average age of 30 students in a class = 12 years

The average age of a group of 5 of the students = 10 years

The average age of another group of 5 of them = 14 years

According to the question,

The average of the remaining students = (30 × 12 - 5 × 10 - 14 × 5)/20 = 240/20 = 12 years

The correct answer is option 4 i.e. 19.

Let the number that needs to be added to both 7 and 9 = x

So, (7 + x)/(9 + x) = 13/14

⇒ 98 + 14x = 117 + 13x

⇒ x = 19

So, we should add 19 to each of 7 and 9.

The correct answer is option 1 i.e. 11.44.

Let the original price of the commodity be 100x

The new price = 100x + (8/100) × 100x = 100x + 8x = 108x

Discount = 18%

The discount amount = (18/100) × 108x = 19.44x

Final selling price = 108x - 19.44x = 88.56x

Discount amount = 100x - 88.56x = 11.44x

Discount percentage = (11.44x /100x) × 100 = 11.44%

Therefore, the actual discount on the original price is 11.44%.

The correct answer is option 1 i.e. 0.0625.

0.5 × 0.05 × 0.005 × 500

= 5/10 × 5/100 × 5/1000 × 500

= (5 × 5 × 5 × 500)/(10 × 100 × 1000)

= (5 × 5 × 5 × 5)/(10 × 100 × 10)

= (625)/(10000) = 0.0625

The correct answer is option 3 i.e. 98.

Total value of apples = 10 × 94.50 = 945

Total value of grapes = 5 × 105 = 525

Total amount = 945 + 525 = 1470

Total quantity = 10 + 5 = 15 kg

Average amount = 1470/15 = ₹98/kg

The correct answer is Option 1 i.e. 414.

Relative speed = 133 - 103 = 30 × 5/18 = 25/3 m/s

Total distance to be covered = 1775 + 1675 = 3450 m

Time taken to cross = 3450/(25/3) = 414 seconds