# IBPS RRB Clerk 2018 Prelims Exam: Quants Test Day 4

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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**(?)^2 + (65)^2= (160)^2 – (90)^2 – 7191**CorrectAnswer –

**5. 78**

Explanation:

(?)^2 = 25600 – 8100 – 7191 – 4225 = 6084

? = 78IncorrectAnswer –

**5. 78**

Explanation:

(?)^2 = 25600 – 8100 – 7191 – 4225 = 6084

? = 78 - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**A tailor sold a dress and got Rs. 150 as profit. Find the profit percentage**

I. The selling price of the dress is Rs. 750

II. The cost price of the dress is Rs. 400CorrectAnswer –

**3. The data either in statement I alone or in statement II alone are sufficient to answer the question.**

Explanation:

From I

Selling price = Rs 750

Profit = Rs 150

Cost price =600

Profit % = (150*100)/600 = 25%

From II

Cost price = 400

Profit = 150

Profit % = (150*100)/400 = 37.5%

Therefore either statement I alone or statement II alone is required to answer the question.IncorrectAnswer –

**3. The data either in statement I alone or in statement II alone are sufficient to answer the question.**

Explanation:

From I

Selling price = Rs 750

Profit = Rs 150

Cost price =600

Profit % = (150*100)/600 = 25%

From II

Cost price = 400

Profit = 150

Profit % = (150*100)/400 = 37.5%

Therefore either statement I alone or statement II alone is required to answer the question. - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**What is the speed of Mumbai Express(in kmph)**

I. The Express crosses a platform of length 120 m in 15 seconds and a vertical pole in 7 seconds while travelling at the same speed.

II. The Express, 105 m in length, passes a person running at the speed of 4.5 m/s in the same direction in which the Express is running, in 10 secondsCorrectAnswer –

**3. The data either in statement I alone or in statement II alone are sufficient to answer the question.**

Explanation:

From I,

Let the length of Express be X

Then (X+120)/15= X/7

X = 105

Speed of the Express =105/7 = 15 m/s = 54 kmph

From II,

Let the speed of Express be X m/s

Relative speed in the same direction = (X-4.5) m/s

Now 105/(X-4.5)=10

X = 15 m/s = 54 kmph

Hence data either in statement I alone or in statement II alone are sufficient to answer the question.IncorrectAnswer –

Explanation:

From I,

Let the length of Express be X

Then (X+120)/15= X/7

X = 105

Speed of the Express =105/7 = 15 m/s = 54 kmph

From II,

Let the speed of Express be X m/s

Relative speed in the same direction = (X-4.5) m/s

Now 105/(X-4.5)=10

X = 15 m/s = 54 kmph

Hence data either in statement I alone or in statement II alone are sufficient to answer the question. - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**A person covers a certain distance by travelling at a uniform speed of 120 kmph for 90 minutes.**

**Quantity I:**At what speed will he have to travel in order to cover the same distance in 1 hour 20 minutes?

**Quantity II:**At what speed will he have to travel in order to cover the same distance in 1 hour 40 minutes?CorrectAnswer –

**1. Quantity I > Quantity II**

Explanation:

Distance covered by person in 90 minutes =120 * 90/60=180 km

Quantity I:

Required speed = 180/(4/3)=135 kmph

Quantity II:

Required speed = 180/(5/3)=108 kmphIncorrectAnswer –

**1. Quantity I > Quantity II**

Explanation:

Distance covered by person in 90 minutes =120 * 90/60=180 km

Quantity I:

Required speed = 180/(4/3)=135 kmph

Quantity II:

Required speed = 180/(5/3)=108 kmph - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**The speed of a watercraft is 15 kmph in still water and goes 30 km downstream and come back in a total of 4 hours 30 minutes.**

**Quantity I:**Downstream Speed – 5 Kmph

**Quantity II:**Upstream Speed + 5 KmphCorrectAnswer –

**5. Quantity I = Quantity II or relation cannot be established**

Explanation:

Let the speed of stream = X kmph

Downstream speed= 15 + X

Upstream speed =15 – X

30/(15+X) + 30/(15-X)=9/2

X=5 kmph

Quantity I: Downstream Speed – 5 Kmph = 15 + 5 – 5 = 15

Quantity II: Upstream Speed + 5 Kmph = 15 – 5 + 5 = 15IncorrectAnswer –

**5. Quantity I = Quantity II or relation cannot be established**

Explanation:

Let the speed of stream = X kmph

Downstream speed= 15 + X

Upstream speed =15 – X

30/(15+X) + 30/(15-X)=9/2

X=5 kmph

Quantity I: Downstream Speed – 5 Kmph = 15 + 5 – 5 = 15

Quantity II: Upstream Speed + 5 Kmph = 15 – 5 + 5 = 15 - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10):Study the information carefully to answer the following questions.**In a recently held survey there were 7500 persons in a Village. Out of those, 2500 opted only for Company A’s product, 1850 only for company B’s product and 950 opted only for Company C’s product. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 300 and the number of those opting only for company A and B is 150.

**How many persons opted for at least two companies?**CorrectAnswer –

**4. 1700**

Explanation:

The number of persons opting for at least two companies

=1000+250+150+300 = 1700IncorrectAnswer –

**4. 1700**

Explanation:

The number of persons opting for at least two companies

=1000+250+150+300 = 1700 - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10):Study the information carefully to answer the following questions.**In a recently held survey there were 7500 persons in a Village. Out of those, 2500 opted only for Company A’s product, 1850 only for company B’s product and 950 opted only for Company C’s product. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 300 and the number of those opting only for company A and B is 150.

**Find the number of persons who opted for company A’s product**CorrectAnswer –

**1. 3900**

Explanation:

Number of persons opting for company A’s product

=2500 + 150 + 1000 + 250 = 3900IncorrectAnswer –

**1. 3900**

Explanation:

Number of persons opting for company A’s product

=2500 + 150 + 1000 + 250 = 3900 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10):Study the information carefully to answer the following questions.**In a recently held survey there were 7500 persons in a Village. Out of those, 2500 opted only for Company A’s product, 1850 only for company B’s product and 950 opted only for Company C’s product. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 300 and the number of those opting only for company A and B is 150.

**How many persons opted for only one company’s product?**CorrectAnswer –

**3. 5300**

Explanation:

Number of persons opting only one company’s product

= 2500 + 1850 + 950 = 5300IncorrectAnswer –

**3. 5300**

Explanation:

Number of persons opting only one company’s product

= 2500 + 1850 + 950 = 5300 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10):Study the information carefully to answer the following questions.****How many persons did not participate in the survey?**CorrectAnswer –

**4. 500**

Explanation:

Number of persons who did not participate in the survey

=7500-(2500 + 150 + 1000 + 1850 + 300 + 250 + 950)

=7500-7000=500IncorrectAnswer –

**4. 500**

Explanation:

Number of persons who did not participate in the survey

=7500-(2500 + 150 + 1000 + 1850 + 300 + 250 + 950)

=7500-7000=500 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10):Study the information carefully to answer the following questions.****The number of persons opting only for Company A’s product is what percent of the total number of persons opting for only Company B’s and only Company C’s product?**CorrectAnswer –

**3. 89.28%**

Explanation:

Required % = (2500 *100)/2800 = 89.28%IncorrectAnswer –

**3. 89.28%**

Explanation:

Required % = (2500 *100)/2800 = 89.28%

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