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

1 pointsCategory: Quantitative Aptitude**The selling price of a book is Rs. 250 when it is sold at a profit of 25%. At least how many books one must sell to purchase a bag costing Rs. 1000 if only profit money obtain by selling books is used to buy the bag?**Correct**Answer: 2) 20**

Explanation:

Given, the selling price of the book = Rs. 250

Cost price of the book

= 250*(100/125)

= 200

Profit

= 250-200

= Rs.50/per book

Therefore, number of books one must sell to purchase a bag costing Rs. 1000

= (1000/50)

= 20Incorrect**Answer: 2) 20**

Explanation:

Given, the selling price of the book = Rs. 250

Cost price of the book

= 250*(100/125)

= 200

Profit

= 250-200

= Rs.50/per book

Therefore, number of books one must sell to purchase a bag costing Rs. 1000

= (1000/50)

= 20 - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**A glass contains 350 ml of wine. Some quantity of wine is taken out and 2/3rd of that quantity of wine, water is added in the glass. Now the ratio of wine to water in the glass becomes 2:1. What is the quantity of wine which is taken out?**Correct**Answer: 3) 150ml**

Explanation:

Let the quantity of wine removed

= 3x ml

Quantity of water added

= (2/3)*(3x)

= 2x ml

ATQ,

(350-3x)/2x = 2/1

350-3x = 4x

350 = 4x+3x

350 = 7x

x = 50 ml

The quantity of wine which is taken out = 3x =3*50 = 150 mlIncorrect**Answer: 3) 150ml**

Explanation:

Let the quantity of wine removed

= 3x ml

Quantity of water added

= (2/3)*(3x)

= 2x ml

ATQ,

(350-3x)/2x = 2/1

350-3x = 4x

350 = 4x+3x

350 = 7x

x = 50 ml

The quantity of wine which is taken out = 3x =3*50 = 150 ml - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**A, B and C started a business with an initial investment of Rs. 1200, Rs. 1500 and Rs. 1800 respectively. From 10th month onwards they each decided to invest Rs. 150 more on the starting of each month. If the total annual profit is Rs.1260 then find the difference between the profit of B and C.**Correct**Answer: 5) Rs. 80**

Explanation:

Ratio of profit (A: B: C)

= (1200*9 + 1350 + 1500 + 1650): (1500*9 + 1650 + 1800 + 1950): (1800*9 + 1950 + 2100 + 2250)

= 15300: 18900: 22500

= 153: 189: 225

= 51:63: 75

=17:21:25

Difference in profit of B and C = (1260)*{(25-21)/ (17+21+25)} = (1260)*(4/63) = 20*4 = Rs. 80Incorrect**Answer: 5) Rs. 80**

Explanation:

Ratio of profit (A: B: C)

= (1200*9 + 1350 + 1500 + 1650): (1500*9 + 1650 + 1800 + 1950): (1800*9 + 1950 + 2100 + 2250)

= 15300: 18900: 22500

= 153: 189: 225

= 51:63: 75

=17:21:25

Difference in profit of B and C = (1260)*{(25-21)/ (17+21+25)} = (1260)*(4/63) = 20*4 = Rs. 80 - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**Find the total distance covered when the boat travels upstream for 4 hours and downstream for 8 hours. Sum of the speed of a boat in upstream and downstream is 60 km/hr. Speed of the boat in still water is 700% more than the speed of the stream.**Correct**Answer: 5) 375km**

Explanation:

Speed of boat in still water

= (Sum of speed of a boat in upstream and downstream)/2

= 60/2

= 30km/h

Let the Speed of stream = x km/h

ATQ,

Speed of boat = x + 700% of x

30 = x + 7x

30 = 8x

x = 30/8 = 3.75 km/h

Upstream speed

= (30-3.75)

= 26.25km/h

Distance covered in upstream in 4 hours

= 26.25*4

= 105km

Downstream speed

= (30+3.75)

= 33.75km/h

Distance covered in downstream in 8 hours

= 33.75*8

= 270

Total distance covered

= 105+270

= 375kmIncorrect**Answer: 5) 375km**

Explanation:

Speed of boat in still water

= (Sum of speed of a boat in upstream and downstream)/2

= 60/2

= 30km/h

Let the Speed of stream = x km/h

ATQ,

Speed of boat = x + 700% of x

30 = x + 7x

30 = 8x

x = 30/8 = 3.75 km/h

Upstream speed

= (30-3.75)

= 26.25km/h

Distance covered in upstream in 4 hours

= 26.25*4

= 105km

Downstream speed

= (30+3.75)

= 33.75km/h

Distance covered in downstream in 8 hours

= 33.75*8

= 270

Total distance covered

= 105+270

= 375km - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**There are 6 balls in bag A and 10 balls in bag B. The number of white balls in bag A and bag B is 3 and 4 respectively. If a bag is chosen randomly and two balls are drawn at random from it, what is the probability that at least one ball is white if the ball is not replaced?**Correct**Answer: 5) 11/15**

Explanation:

At least one white ball can be chose in three ways:

1. Both the balls are white

2. First ball is white and second is not white

3. First ball is not white and second ball is white.

Probability of selecting a bag = ½

Probability of choosing at least one white ball from first bag

= ½ *(3/6*2/5 + 3/6*3/5 + 3/6*3/5)

= ½*(6/30 + 9/30 + 9/30)

= ½*(24/30)

= 12/30

= 2/5

Probability of choosing at least one white ball from second bag

= ½*(4/10*3/9 + 4/10*6/9 + 6/10*4/9)

= ½*(12/90 + 24/90 + 24/90)

= ½*(60/90)

= 30/90

=1/3

Final probability

= (2/5) + (1/3)

= (11/15)Incorrect**Answer: 5) 11/15**

Explanation:

At least one white ball can be chose in three ways:

1. Both the balls are white

2. First ball is white and second is not white

3. First ball is not white and second ball is white.

Probability of selecting a bag = ½

Probability of choosing at least one white ball from first bag

= ½ *(3/6*2/5 + 3/6*3/5 + 3/6*3/5)

= ½*(6/30 + 9/30 + 9/30)

= ½*(24/30)

= 12/30

= 2/5

Probability of choosing at least one white ball from second bag

= ½*(4/10*3/9 + 4/10*6/9 + 6/10*4/9)

= ½*(12/90 + 24/90 + 24/90)

= ½*(60/90)

= 30/90

=1/3

Final probability

= (2/5) + (1/3)

= (11/15) - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10) Table given below shows percentage of nurses out of total nurses who worked on even days in three different months and rest of the nurses are working on odd days of the respective month. Study the table carefully and answer the following questions.**

Note: Each nurse works for 6 hours per day in June and August and each nurse works for 8 hours per day in July.

Total nurse-hours in (June/August) = Total nurse worked * Total days of work*6 hours

Total nurse-hours in July = Total nurse worked*Total days of work*8 hours**Total nurse-hours on odd days of June is approximately what % of the total nurse-hours on odd days of August?**Correct**Answer: 1) 69.5%**

Explanation:

Total nurse working on odd days in June

= 500*{(100-60)/100}

= 500*(40/100)

= 200

Total odd days in June =15

Total nurse-hours = 200*15*6

Total nurse working on odd days in August = 600{(100-55)/100}

= 600*(45/100)

= 270

Total odd days in August = 16

Total nurse-hours = 270*16*6

Required % = {(200*15*6)/ (270*16*6)}*100 = 69.5% (approx)Incorrect**Answer: 1) 69.5%**

Explanation:

Total nurse working on odd days in June

= 500*{(100-60)/100}

= 500*(40/100)

= 200

Total odd days in June =15

Total nurse-hours = 200*15*6

Total nurse working on odd days in August = 600{(100-55)/100}

= 600*(45/100)

= 270

Total odd days in August = 16

Total nurse-hours = 270*16*6

Required % = {(200*15*6)/ (270*16*6)}*100 = 69.5% (approx) - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10) Table given below shows percentage of nurses out of total nurses who worked on even days in three different months and rest of the nurses are working on odd days of the respective month. Study the table carefully and answer the following questions.**

Note: Each nurse works for 6 hours per day in June and August and each nurse works for 8 hours per day in July.

Total nurse-hours in (June/August) = Total nurse worked * Total days of work*6 hours

Total nurse-hours in July = Total nurse worked*Total days of work*8 hours**Total nurse-hour on even days of July is how much more or less than the total nurse-hours on odd days of June?**Correct**Answer: 5) 25200**

Explanation:

Number of even days in July = 15

Total nurse-hour on even days of July

= 800*{(45/100)}*15*8

= 43200

Total odd days in June = 15

Total nurse-hour on odd days of June

= 500{(100-60)/100}*15*6

= 18000

Required difference

= (43200-18000)

= 25200Incorrect**Answer: 5) 25200**

Explanation:

Number of even days in July = 15

Total nurse-hour on even days of July

= 800*{(45/100)}*15*8

= 43200

Total odd days in June = 15

Total nurse-hour on odd days of June

= 500{(100-60)/100}*15*6

= 18000

Required difference

= (43200-18000)

= 25200 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10) Table given below shows percentage of nurses out of total nurses who worked on even days in three different months and rest of the nurses are working on odd days of the respective month. Study the table carefully and answer the following questions.**

Note: Each nurse works for 6 hours per day in June and August and each nurse works for 8 hours per day in July.

Total nurse-hours in (June/August) = Total nurse worked * Total days of work*6 hours

Total nurse-hours in July = Total nurse worked*Total days of work*8 hours**Find the ratio of nurse-hour in July to nurse hour in August.**Correct**Answer: 2) 16:9**

Explanation:

Total nurse-hour on July = 800*31*8

Total nurse-hour on August = 600*31*6

Required Ratio= (800*31*8)/ (600*31*6) = 16/9 = 16:9Incorrect**Answer: 2) 16:9**

Explanation:

Total nurse-hour on July = 800*31*8

Total nurse-hour on August = 600*31*6

Required Ratio= (800*31*8)/ (600*31*6) = 16/9 = 16:9 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude

Note: Each nurse works for 6 hours per day in June and August and each nurse works for 8 hours per day in July.

Total nurse-hours in (June/August) = Total nurse worked * Total days of work*6 hours

Total nurse-hours in July = Total nurse worked*Total days of work*8 hours**Find the total nurse-hour in all three months on even days.**Correct**Answer: 1) 99900**

Explanation:

Number of even days in June = 15

Total nurse-hour in even days in June

= 500*(60/100) * 15*6

= 27000

Number off even days in July = 15

Total nurse-hour in ever days in July

= 800(45/100)*15*8

= 43200

Number of even days in August = 15

Total nurse-hour in even days in August

= 600(55/100)*15*6

= 29700

The total nurse hour in all three month on even days

= 27000 + 43200 + 29700

= 99900Incorrect**Answer: 1) 99900**

Explanation:

Number of even days in June = 15

Total nurse-hour in even days in June

= 500*(60/100) * 15*6

= 27000

Number off even days in July = 15

Total nurse-hour in ever days in July

= 800(45/100)*15*8

= 43200

Number of even days in August = 15

Total nurse-hour in even days in August

= 600(55/100)*15*6

= 29700

The total nurse hour in all three month on even days

= 27000 + 43200 + 29700

= 99900 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude

Note: Each nurse works for 6 hours per day in June and August and each nurse works for 8 hours per day in July.

Total nurse-hours in (June/August) = Total nurse worked * Total days of work*6 hours

Total nurse-hours in July = Total nurse worked*Total days of work*8 hours**Find the ratio of the number of nurses working on odd days in all three months to the number of nurses working on even days in all three months.**Correct**Answer: 4) 91:99**

Explanation:

The number of nurses worked on odd days in all three months

= 500*{(100-60)/100} + 800*{(100-45)/100} + 600{(100-55)/100}

= 500*(40/100) + 800*(55/100) + 600(45/100)

= 200+440+270

= 910

The number of nurses worked on even days in all three months

=500*(60/100) + 800(45/100) + 600(55/100)

=300+ 360 + 330

= 990

Required Ratio = (910/990) = 91/99 = 91:99Incorrect**Answer: 4) 91:99**

Explanation:

The number of nurses worked on odd days in all three months

= 500*{(100-60)/100} + 800*{(100-45)/100} + 600{(100-55)/100}

= 500*(40/100) + 800*(55/100) + 600(45/100)

= 200+440+270

= 910

The number of nurses worked on even days in all three months

=500*(60/100) + 800(45/100) + 600(55/100)

=300+ 360 + 330

= 990

Required Ratio = (910/990) = 91/99 = 91:99

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