#BrightZoomMaths Aptitude Solved problems

#BrightZoomMaths 
Aptitude Solved problems

1. Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. Find the total time taken by him?

Answer: 700 hours

Explanation:

Speed downstream = ( 14 + 1.2 )
= 15.2 kmph
Speed upstream = ( 14 - 1.2 )
= 12.8 kmph
Total time taken = ( 4864 / 15.2 ) + ( 4864 / 12.8 )
= 320 + 380
= 700 hours

2. What least number should be added to 1056, so that the sum is completely divisible by 23?

Answer: 2

Explanation:

⇒ 1056 / 23 = 45
Remainder = 21
⇒ 21 + 2
= 23
Hence 2 should be added to 1056 so that the sum will be divisible by 23.
= 2

3. X and Y invest Rs. 21000 and Rs. 17500 respectively in a business. At the end of the year, they make a profit of Rs. 26400. What is the share of X in the profit?

Answer: 14400

Explanation:

Ratio of the investment = 21000 : 17500
= 210 : 175
= 42 : 35
= 6 : 5
Share of X in the profit = 26400 * ( 6 / 11 )
= 2400 * 6
= 14400

4. What is the probability of getting a number less than 4 when a die is rolled?

Answer: 1 / 2

Explanation:

Total number of outcomes possible when a die is rolled = 6
∴ any one face out of the 6 faces)
n( S ) = 6
E = Getting a number less than 4
= { 1, 2, 3 }
Hence, n( E ) = 3
P( E ) = n( E ) / n( S )
= 3 / 6
= 1 / 2