The correct answer is option 1 i.e. 30%.

From the bar graph:

Total number of Anniversary parties held in 2 restaurants = (45 + 20) = 65

And, Total number of Farewell parties held in 2 restaurants = (35 + 15) = 50

Hence, Required percentage = [(65 – 50)/50] × 100 = 30%

The correct answer is option 1 i.e. 288 cm³.

Let the slant height of the cone be ‘l’ cm

Curved surface area of the cone = π × r × l = 180

⇒ 3 × 6 × I = 180

⇒ I = 10 cm

Let the height of the cone be ‘h’ cm.

According to Pythagoras' theorem: r² + h² = l²

⇒ 6² + h² = 10²

⇒ h² = 100 - 36

⇒ h = √64 = 8

So, the volume of the cone = 1/3 × π × r² × h = 1/3 × 3 × 36 × 8 = 288 cm³

The correct answer is Option 3 i.e. 9.

Let the number of girls be x

Number of boys = 2x + 3

⇒ 21 = 2x + 3

⇒ 18 = 2x

∴ x = 9

The correct answer is option 3 i.e. 40

Profit% = (Selling price - Cost price)/Cost price × 100

⇒ 15/100 = (46 - cost price)/cost price

⇒ 3/20 = (46 - cost price)/cost price

⇒ Cost price = Rs. 40

The correct answer is option 3 i.e 16%

Let the initial number be 100 then,

First it decreases by 30 i.e. it becomes 70

Then it increases 20% i.e,

70 + 20% of 70 = 84

Net decrease = (100 - 84)/100 × 100 = 16%

The correct answer is option 3 i.e. 698

7011 ÷ 19  – ?% of 654 = – 4195

⇒ 369 – ?% × 654 = – 4195

⇒ 369 + 4195 = ?% × 654

⇒ ? = 4564  × 100/654

⇒ ? = 697.85

⇒ ? ~ 698

The correct answer is option 3 i.e. 360.

Let us factorize the given numbers first:

12 = 2 × 2 × 3

45 = 3 × 3 × 5

24 = 2 × 2 × 2 × 3

Hence,

LCM of the numbers = 2 × 2 × 2 × 3 × 3 × 5 = 360

So, the smallest three-digit number that is exactly divisible by 12, 45, and 24 = 360

The correct answer is option 3 i.e. 120 days.

If A and B together can complete a piece of work in x days and A alone can complete it in y days then B can complete it alone in {(xy)/(y - x)} days.

Time taken by Ankit and Aman together to complete the work = 40 days

Aman alone takes 60 days to complete the work.

So, Ankit alone takes (60 × 40)/(60 - 40) = 120 days

The correct answer is Option 2 i.e. 19 km/h.

Let the speed of the sailor and stream be x and y respectively

So, In the downstream speed of the sailor = x + y

In the upstream speed of sailor = x - y

According to question

⇒ x + y = 24 ---(1)

⇒ x - y = 14 ---(2)

From equation (1) and (2) 

x = 19 and y = 5

∴ Speed of sailor = 19 km/h

The correct answer is option 1 i.e. 29.

Average = (Sum of all observations/Number of observations)

Sum of age = (10 × 33) = 330 years

When the oldest person dies,

The sum of age = (330 - 69) = 261 years

New average = 261/9 = 29 years