**Directions(1-5):** What will come in place of question mark “?” in the following questions.

- [21^2 – (19^2 – 17^2 )] + 5 = ?
315350285290374Option E

[21^2 – (19^2 – 17^2 )] + 5 = ?

=> [441 – (361 – 289)] + 5 = ?

=> ? = 374 - (60% of 1700) – (12% of 1200) = ?
880876890777800Option B

(60% of 1700) – (12% of 1200) = ?

=> ? = 1020 – 144

=> ? = 876 - [(1024 / 4^2) + 25% of 900] – 40 = ?
250249281225240Option B

[(1024 / 4^2) + 25% of 900] – 40 = ?

=> ? = [(1024 / 16) + 225] – 40

=> ? = [64 + 225] – 40

=> ? = 249 - [112 – (3^3 – 4)] + (8*19) = ?
241255202222230Option A

[112 – (3^3 – 4)] + (8*19) = ?

=> ? = [112 – (27 – 4) + 152] => ? = 241 - 69.96% of 500.03 – 170.01 + ? = 349.97
105111125137170Option E

69.96% of 500.03 – 170.01 + ? = 349.97

=> 70% of 500 – 170 + ? = 350

=> 350 – 170 + ? = 350

=> ? = 170 - The ratio of the ages of Ran and Shyam 4 years ago was 10:7 and the ratio of Ram and Shyam 6 years from now would be 5:4. What is the sum of the present ages of Ram and Shyam?
3042503255Option B

Let the present ages of Ram and Shyam be x and y years resp.

(x-4)/(y-4) = 10/7 ——(1)

(x+6)/(y+6) = 5/4 ——-(2)

From (1) and (2), we get

x = 24 years and y = 18 years

Required sum = 24 + 18 = 42 years - The sum of the upstream and downstream speed of a boat is 60 kmhr. What is the speed of the stream if it takes the boat 24 hours to cover 360 km while travelling upstream?
2515102030Option B

Downstream of the boat = a+b

Upstream of the boat = a – b

Now , a+b + a-b = 60

=> a = 30 km/hr.

Therefore, 360/(30-b) = 24

=> b = 15 kmhr. - A sphere has a radius of 21 cm and a cylinder has height and radius equal to 6 cm and 14 cm resp. What is the ratio of the total surface areas of the sphere and the cylinder?
48:2563:2050:1961:2063:25Option B

Total surface of the sphere = 4*pi*r*r

= 4*22/7*21*21 = 5544 cm^2

Total surface of the cylinder = 2*pi*r*(r+h)

= 2*22/7*14*(14+6) = 1760 cm^2

Required ratio = 5544 : 1760

= 63:20 - The ratio of the speed of the truck and the car is 2:3. The truck travels 210 km and the car travels 270 km. If the sum of the time taken by the truck and car to cover their respective distances in 6.5 hours, then what is the speed of the car?
92 km/hr.79 km/hr.90 km/hr.85 km/hr.100 km/hr.Option C

Let the speed of the truck and car be 2x and 3x km/hr. Resp. 210/2x + 270/3x = 6.5

=> x = 30

speed of the car = 3*30

= 90 km/hr. - Out of 4 males and 7 females, 5 are to be selected for a trekking trip. What is the probability of selecting at least 4 females for a trekking trip ?
20/6920/6723/6621/6523/61Option C

Required Probability = 4C1*7C4/11C5 + 4C0*7C5/11C5

= 23/66