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Rahul had the income in the year 2017, such that he earned profit of 20% on his investment in the business. In the year 2018, his investment was less by Rs.5000 but still had the same income (Income=Profit + Investment) as that in 2017.Thus the profit % earned in 2018 increased by 6%. What was his investment in 2017?

Correct

Answer : 2.Rs.105000 Explanation

Incorrect

Answer : 2.Rs.105000 Explanation

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Six bells commencing tolling together toll at intervals of 2, 3, 6, 8, 10 and 12 seconds respectively. In 30 minutes how many times do they toll together?

Correct

Answer : 3.16 Explanation
L.C.M of 2, 4, 6, 8, 10 and 12 is 120.
so, the bells will toll together after 120 seconds i.e. 2 minutes.
In 30 minutes, the bells toll together 30/2 + 1 times i.e. times.

Incorrect

Answer : 3.16 Explanation
L.C.M of 2, 4, 6, 8, 10 and 12 is 120.
so, the bells will toll together after 120 seconds i.e. 2 minutes.
In 30 minutes, the bells toll together 30/2 + 1 times i.e. times.

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B?

Correct

Answer: 5.20 kmph Explanation

Incorrect

Answer: 5.20 kmph Explanation

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Consider three pipes A, B and C. The pipes A and B can fill the cistern in 2 and 2.5 hours respectively. The pipe C can empty the cistern in 1 hour. If these pipes were opened at an interval of half an hour at 6:00am, 6:30am and 7:00am respectively. When the cistern will get empty?

Correct

Answer: 4.2:00 pm Explanation
Amount emptied by pipe C in one hour = 1
As pipe A fills the entire cistern in 2 hours,
Part of cistern filled by pipe A in one hour = ½
As pipe Q fills the entire cistern in 2.5 hours,
Amount filled by pipe Q in one hour = 1/2.5
For the first half, an hour only pipe P is open.
∴ Part of cistern filled by pipe P in starting ½ hour = ½×½ = ¼
For the next half an hour, pipe P and pipe Q both are open.
∴ Part of cistern filled by pipe P and pipe Q in next half an hour =1/2(1/2+2/5) = 1/4+1/5=9/20
∴ Total pat of cistern filled after one hour =1/4+9/20=7/10
After 1 hour, all three pipes are open.
Let x be the number of hours for which all 3 pipes are open
∴At the end of x hours, the cistern will be completely
empty
∴ 7/10+x (1/2+1/2.5−1) =0
⇒7/10−x/10=0⇒7/10−x/10=0
⇒ x = 7
∴All three tanks are open for 7 hours.
⇒ Tank will get empty 7 hours after 7:00 am.
⇒ Tank will get empty at 2:00 pm.

Incorrect

Answer: 4.2:00 pm Explanation
Amount emptied by pipe C in one hour = 1
As pipe A fills the entire cistern in 2 hours,
Part of cistern filled by pipe A in one hour = ½
As pipe Q fills the entire cistern in 2.5 hours,
Amount filled by pipe Q in one hour = 1/2.5
For the first half, an hour only pipe P is open.
∴ Part of cistern filled by pipe P in starting ½ hour = ½×½ = ¼
For the next half an hour, pipe P and pipe Q both are open.
∴ Part of cistern filled by pipe P and pipe Q in next half an hour =1/2(1/2+2/5) = 1/4+1/5=9/20
∴ Total pat of cistern filled after one hour =1/4+9/20=7/10
After 1 hour, all three pipes are open.
Let x be the number of hours for which all 3 pipes are open
∴At the end of x hours, the cistern will be completely
empty
∴ 7/10+x (1/2+1/2.5−1) =0
⇒7/10−x/10=0⇒7/10−x/10=0
⇒ x = 7
∴All three tanks are open for 7 hours.
⇒ Tank will get empty 7 hours after 7:00 am.
⇒ Tank will get empty at 2:00 pm.

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

A mixture of A and B in a jar contains 28 liter A and 8 liter B. X liter A and X liter B are mixed to form a mixture. If 40% of the new mixture is 20 L, then find the value of X.

Correct

Answer : 1.7 L Explanation
40% of new mixture = 20L
100% of new mixture=(20/40)×100
= 50 L
28 + x + 8 + x = 50
2x = 50 – 36
x = 7L

Incorrect

Answer : 1.7 L Explanation
40% of new mixture = 20L
100% of new mixture=(20/40)×100
= 50 L
28 + x + 8 + x = 50
2x = 50 – 36
x = 7L

A man can row 7 (1/2) km/h in still water. If in a river running at 1.5 km an hour it takes him 50 minutes to row to a place and back, how far off is the place?

Correct

Answer : 3.3 km Explanation
Speed Downstream = (7.5 + 1.5) kmph = 9 kmph
Speed Upstream = (7.5 – 1.5) kmph = 6 kmph
Let the required distance be x km. Then,
x/9 + x/6 = 50/60
2x + 3x = 5/6 × 18 = 5x = 15, x = 3
Hence the required distance is 3 km

Incorrect

Answer : 3.3 km Explanation
Speed Downstream = (7.5 + 1.5) kmph = 9 kmph
Speed Upstream = (7.5 – 1.5) kmph = 6 kmph
Let the required distance be x km. Then,
x/9 + x/6 = 50/60
2x + 3x = 5/6 × 18 = 5x = 15, x = 3
Hence the required distance is 3 km

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