APTITUDE TEST AND PREPARATION

APTITUDE TEST AND PREPARATION

Aptitude Solved Problems

Bright Zoom Maths,

Question  : 1

A cloth merchant sold half of his cloth at 20% profit and half of the remaining cloth at 20% loss and remaining at the cost price. In total transmission what will be his gain or loss?

Answer: 5%

Explanation:

Let CP = 100

Half of the cloth at 20% profit, SP

 = 50 *120/100 = 60

Half of the remaing cloth at 20% loss, SP = 25 *80/100 = 20

Reaming cloth at CP, 

Therefore SP = 25

On total transaction 

SP = 60 + 20 +25 = 105

Profit% = 5%

Question  : 2

The distance between two points is 36km. A boat rows in still water at 6kmph, it takes 8hr less to cover dist in downstream in comparison to that in upstream. Find the rate of stream?

Answer: 3 kmph

Explanation:

Time = distance * speed

Difference between time taken to cover upstream and downstream is 8hr

( 36 / ( 6 - x )) - ( 36 / ( 6 + x )) = 8

36 ( 6 + x ) - 36 ( 6 - x ) = 8 ( 36 - x2)

36 ( 6 + x - 6 - x ) = 8 ( 36 - x2)

9x = 36 - x2

x2 + 9x - 36 = 0 

(x + 12)(x - 3) = 0

Speed cannot be negative. 

So, x = 3 kmph

Rate of stream = 3 kmph

Question  : 3

3. Arun borrowed a sum of Rs.30,000. He took a part of it at 12% per annum rate of simple interest and the remaining at 10% per annum. At the end of two years, he returned Rs.36,480 and discharge his loan. What was the sum borrowed at 12% per annum rate of interest?

Answer: 12000

Explanation:

Considrer one part of money as x

(( x * 12 * 2 ) / 100 ) + ((( 30000 - x ) * 10 * 2 ) / 100 ) = 6480

(4x / 100) = 6480 - 6000

x = 12000

Question  : 4

Ravi, Raghul and Suresh can do a piece of work in 3, 4 and 6 days, respectively. Doing that work together, they get an amount of 675 rupees. What is the share of Suresh in that amount?

Answer: Rs.150

Explanation:

Ravi 1 day work = 1/3

Raghul's 1 day's work = 1/4

Suresh's 1 day's work = 1/6

Ravi's share : Raghul's share : Suresh's share

= (1 /3) : (1 / 4) : (1 / 6)

= (12 / 3) : (12 / 4) : (12 / 6)

= 4 : 3 : 2

So, Suresh's Wage = 2 * ( 675 / ( 4 + 3 + 2 )) = 150 

Suresh's wage = Rs.150