STUDY QUEST 02

Sharad started from home for his work and drove 50 km towards the east, then took a right turn

and drove another 30 km. He again took a left turn and drove 30 km in that direction. Then, he turned to

his right and drove 30 km to reach his final destination. What is the shortest distance between Sharad’s

home to his office?

• 65 km
• 98 km
• 100 km
• 120 km

Answer explanation

Using Pythagoras theorem,

H = √(P 2 + B 2 )

H = √(60 2 + 80 2 )

H = √(3600 + 6400)

H = √10000

H = 100 km

Thus, the shortest distance between Sharad’s home and the office is 100 km

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

• Rs. 460
• Rs. 484
• Rs. 550
• Rs. 664

The sum of three numbers is 138. If the ratio between the first and the second is 2: 3 and that between the second and the third be 5: 7, find the second number.

• 45
• 60
• 54
• 48

Answer explanation

Let the numbers be a, b and c.

a: b = 2: 3; b: c = 5: 7

Combining these ratios, we get

a: b: c = 10:15:21

And compute the answer

Starting from point M, Jaishree walked 15 metres to her west. She then turned left and walked 20 metres. She again took a left turn and walked 15 metres. Finally, she took a right turn and walked for 12 metres. How far is Jaishree from point M and in which direction?

• 32m, South
• 54m, North
• 42m, North
• 32m, East

A certain amount was divided among three persons

P. Q and R in the ratio of 9,: 12: 16. P and Q together got 78379. Find the amount that R got.

• 6,584

• 6,834
• 6,384
• 6,484

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

Rs. 500

Rs. 1500

Rs. 2000

None of these

• Rs. 500
• Rs. 1500
• Rs. 2000
• None of these

Answer explanation

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x - 3x = 1000

x = 1000.

B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

Every morning Tanisha goes for cycling and follows a fixed route. From her hostel, she goes in the north direction and cycles 20 km. She then takes a right turn and moves 30 km, followed by a right turn again and cycles for 35 km. She then turns left and cycles for 15 km. Finally, she takes a left turn and cycles for 15 km.How far is the final destination from Tanisha’s hostel?

• 45 km
• 115 km
• 25 km
• 95 km

The ratio of ages of Sunil and Suresh is 2: 3. Four years earlier their age ratio was 5: 8. Find the present ages of Sunil and Suresh.

• 12 years, 18 years
• 24 years, 36 years
• 20 years, 32 years
• 30 years, 48 years

The ratio of ages of Mohan and Madhu is 3: 4. After 8 years their age ratio becomes 4: 5.

What are the present ages of Mohan and Madhu?

(a) 21 years, 28 years

(b) 27 years, 36 years

(c) 24 years, 32 years

(d) 30 years, 40 years

• 21 years, 28 years
• 27 years, 36 years
• 24 years, 32 years
• 30 years, 40 years

To reach his school, Ritesh started from his house and walked 10 km towards the south. He then took a right turn and walked 5 km and finally took a left turn. After walking for 7 km, he finally reached his school. In which direction is Ritesh’s house from his school?

• South-West
• North-East
• North-West
• South-East