Quantitative Skills Test-3

Result

Quantitative Skills Test-3

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Question 1
1 / -0

Directions For Questions

Directions: The first Bar graph shows the distance and time of different trains while second bar graph shows the length of different trains.

Distance travelled by different trains and Time taken:

...view full instructions

If Train 4 and Train 5 are running in the same direction then how much time will it take to cross each other?

A
20.8 sec

B
20.6 sec

C
22.8 secs

D
21.6 secs

E
None of these

Solution
Question 2
1 / -0

Directions For Questions

Directions: The first Bar graph shows the distance and time of different trains while second bar graph shows the length of different trains.

Distance travelled by different trains and Time taken:

...view full instructions

If Train 2 and Train 3 are running in the opposite direction then how much time will it take to cross each other?

A
15.86 sec

B
11.94 sec

C
12.96 sec

D
18.84 sec

E
None of these

Solution
Question 3
1 / -0

Directions For Questions

Directions: The first Bar graph shows the distance and time of different trains while second bar graph shows the length of different trains.

Distance travelled by different trains and Time taken:

...view full instructions

Find the difference between the time taken by Train 3 and Train 4 to cross a 240 meter long platform.

A
5.76 sec

B
6.86 sec

C
4.66 sec

D
6.96 sec

E
None of these

Solution
Question 4
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Directions For Questions

Directions: The first Bar graph shows the distance and time of different trains while second bar graph shows the length of different trains.

Distance travelled by different trains and Time taken:

...view full instructions

Find the length of the tunnel if Train 2 crossed the tunnel in 30 sec.

A
360 m

B
280 m

C
300 m

D
320 m

E
None of these

Solution
Question 5
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Punit, Netra and Nishka start running around a circular track and complete one round in 18, 20 and 15 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time?

A
360

B
180

C
270

D
Cannot be determined

E
240

Solution

As Punit, Netra and Nishka complete one round in 18, 20 and 15 seconds respectively, they will be able to meet at the starting point only if we get a common multiple of 18, 20 and 15.

To meet for the second time, we need to calculate LCM (18,20,15).

Hence, LCM (18, 20,15) = 4 × 9 × 5 = 180

∴ They will meet again in 180 seconds.
Question 6
1 / -0

Cards numbered from 107 to 1006 are put in a bag. A card is drawn from it at random. Find the probability that the number on the card is not divisible both by 11 and 37?

A
0.998

B
0.105

C
0.107

D
0.103

E
None of these

Solution
Question 7
1 / -0

A piece of work can be done in 56 days by 4 men. If they all started working together but at the end of every 5th day a man leaves the work and on his place a women joins the work and works until all the men left in mid of the work. Find the number of days taken by women to complete the whole work if the efficiency of women is only 25% of man?

A
176.5 days

B
176 days

C
180.5 days

D
186.5 days

E
205 days

Solution
Question 8
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The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.

A card is picked at random from a well shuffled regular pack of cards. What card is it?

I. If another card is drawn without replacement, the probability that it is a red queen is not 2/51

II. If another card is drawn without replacement, the probability that it is not a diamond is 13/17

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked

B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked

C
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, bu tNEITHER statement ALONE is sufficient

D
EACH statement ALONE is sufficient to answer the question asked

E
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, andadditional data are needed

Solution

From statement I: If the card drawn is not a black queen, then there are 2 red queens left in the pack. When another card is drawn, the probability of getting a red queen would be 2/51.

So, using I alone, we know that the card picked was a red queen but we do not know exactly which suit it belongs to.

From statement II: The probability that the second card is of diamonds is

That means that there are 12 cards of diamonds left in the pack. So, we know that the first card was of diamonds.

Using I and II together we can conclude that the 1st card was the queen of diamonds.
Question 9
1 / -0

Raghav can swim 23 km with the flow in 2 hours. Against the current, he covers 10.5km in 3 hours. Under certain circumstances, the speed of the flow got reduced by 1.5 km/hr. Find the time taken by Raghav to cover 14 km(in downstream) with the changed flow?

A
2 hours

B
2 hour 21 minutes

C
1 hours 24 minutes

D
1 hour 20 minutes

E
3 hours 16 minutes

Solution

Let the speed of Raghav without the flow be x m/hr. and the speed of the flow be y km/hr.
Question 10
1 / -0

The total number of employees in three departments – Operations, Marketing and Sales are 333. The number of employees in Operations and Marketing are in the ratio 3 : 5 and those in marketing and sales are in the ratio 7 : 11. Find the number of employees in the department that had highest number of employees.

A
63

B
165

C
180

D
105

E
135

Solution