**Find solutions for all the questions at the end of each set:**

### Set A

1. A car driver completes a 180 km trip in 4 hours. If he averages 50 km/h during the first 3 hours of trip, what was his speed in the final hour.

(a) 44 km/h

(b) 45 km/h

(c) 35 km/h

(d) 30 km/h

2. A and B start running towards each other at 6 km/h and 9 km/h respectively. What was the distance between them 15 minutes before they met?

(a) 800 m

(b) 2 (1/2) km

(c) 900 m

(d) 3750 m

3. On a journey across Mumbai, tourist bus average 10 km/hr for 20% of the time, 30 km/hr for 60% of it and 20 km/hr for the remainder. The average speed for the whole journey was:

(a) 10 km/hr

(b) 30 km/hr

(c) 5 km/hr

(d) 24 km/hr

4.The distance between two cities is 800 km. A motor car starts from the first city at the speed of 30 km/hr. At the same time, another car starts from the second city towards the first at the speed of 50 km/hr. The distance of the point from the first city where both the cars meet is:

(a) 200 km

(b) 300 km

(c) 400 km

(d) 500 km

5. A train travelling at the speed of 90 km/hr follows a goods train after 6 hours from a station and overtakes it in 4 hours. What is the speed of the train?

(a) 30 km/hr

(b) 60 km/hr

(c) 36 km/hr

(d) 42 km/hr

6. Two trains move from station A and station B towards each other at the speed of 50 km/hr and 60 km/hr. At the meeting point, the driver of the second train felt that the train has covered 120 km more. What is the distance between A and B?

(a) 1,320 km

(b) 1,200 km

(c) 1,100 km

(d) 960 km

7. Shan starts 3 minutes after Bonny from the same point, for a place at a distance of 4 (1/2) miles. Bonny on reaching her destination immediately returns and after walking a mile meets Shan. If Shan’s speed be a mile in 18 minutes, what is Bonny’s speed in miles per minute?

(a) 1/6

(b) 1/24

(c) 2/15

(d) 1/12

8.A Shatabdi Express train, owing to a defect in the engine, goes at 5/8 of its proper speed and arrives at 6.49 pm instead of 5.55 pm. At what hour did it start?

(a) 4.15 pm

(b) Data insufficient

(c) 4.35 pm

(d) 4.25 pm

9.A hare pursued by a greyhound, is 50 of her own leaps ahead of him. While the hare takes 4 leaps, the greyhound takes 3 leaps. In one leap, the hare goes 1(3/4) metre and the greyhound 2(3/4) metres. In how many leaps will the greyhound overtake the hare?

(a) 210 leaps

(b) 180 leaps

(c) 200 leaps

(d) 224 leaps

10. A man walks a km in b hours. The time taken to walk 200 metres is

(a) ab/200 hours

(b) 200b/a hours

(c) b/5a hours

(d) a/200b hours

Answers and Solution:

1. (d)

Distance in 3 hours = 50*3 = 150 km.

Speed in final hr = (180-150)/1 = 30 km/hr

2.(d)

3.(d)

Average speed = (v1t1+v2t2+v3t3)/(t+t2+t3)

= (10*.2+30*.6+20*.2)/1 = 24 km/hr.

4. (b)

Since time of travel for both car is same so

V1 = 30 km/hr

V2 = 50 km/hr

d1/d2 = v1/v2 = 3/5 => 3/8*800 = 300 km.

5.(c)

Goods train travel for 6 + 4 = 10 hrs. other train for 4 hrs,travel distance is same = v1t1 = v2t2

=> v1/v2 = t2/t1 = 10/4 = 5/2

Since v1 = 90 k/h => V2 = 36 km/hr

6. (a)

7. (d)

8. (d)

9. (a)

10.(c)

1 km in b/a hrs => 1000m in b/a hrs. => 200m in b/5a hrs.

**Find solutions for all the questions at the end of each set:**

### Set B

1.Nair borrowed a sum of Rs. 100 from Kapoor at the simple rate of 5% p.a. for 3 years. He then added some more money to the borrowed sum and lent it to Dipak for the same time at 8% p.a. If Nair gains Rs. 173 by way of interest on the total lent out money, then find the amount lent out.

(a) Rs. 350

(b) Rs. 550

(c) Rs. 261

(d) None of these

2. If A and B together can finish a piece of work in 20 days B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in

(a) 30 days

(b) 8(4/7 )days

(c) 4(2/7) days

(d) None

3. 4 men, 5 women and 3 children together can complete a piece of work in 16 days. In how many days can 10 women complete the piece or work if 10 men complete it in 24 days.

(a) 30 days

(b) 19(1/5) days

(c) 18 days

(d) Cannot be determined

4. 42 binders can bind 2800 books in 30 days. How many binders will be required to bind 1600 books in 20 days?

(a) 18

(b) 36

(c) 32

(d) 24

5.The sum of five consecutive even number of set A is 220 what is the sum of a different set of five consecutive numbers whose second lowest number is 37 less than double of the lowest number of set A.

(a) 220

(b) 225

(c) 235

(d) 243

6.Four examiners can examine certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days.

(a) 8 hrs.

(b) 7(1/2) hrs.

(c) 10 hrs.

(d) 8(1/2) hrs.

7.Two men or three women can complete a piece of work in 4 days. In how many days can 1 woman and 1 man together complete the same piece of work?

(a) 6 days

(b) 24/5 days

(c) 12/1.75 days

(d) Cannot be determined

8. Shilpi took a loan at simple interest of 5% in the first year with an increase of 0.5% in each subsequent year. She paid interest of Rs. 2645 after four years. How much loan did she take?

(a) Rs. 10500

(b) Rs. 11500

(c) Rs. 16500

(d) Cannot be determined

9. Three pipes A, B, C respectively fills up with chemical Q, R and S in a tank. They can fill up the tank in 30 min, 20 min and 10 min respectively. Three pipes are opened for 5 minutes, then proportion of chemical R in the tank will be

(a) 6/11

(b) 2/11

(c) 3/11

(d) 4/11

10. Bhawna decided to donate 12% of her salary to an orphanage. On the day of donation she changed her mind and donated Rs. 2400 which was 125% of what she had decided earlier. How much is Bhavan’s salary?

(a) Rs. 14750

(b) Rs. 16,000

(c) Rs. 18,000

(d) Cannot be determined

Answers and Solution:

1. (d)

2. (b)

2(A+B+C)’s 1 day work = 1/20 + 1/10 + 1/12 = 14/60

(A+B+C)’s 1 day work = 7/30 * 1/2 => Required time = 60/7 = 8(4/7) day.

3. (d)

4. (b)

M1D1/W1 = M2D2/W2

=(42*30)/2800 = (x*20)/1600

x = 36 days

5. (a)

6. (c)

7. (b)

2 men = 3 women => 1 man + 1 woman = (3/2 +1)women

M1D1 = M2D2 => 3*4 = 5/2*D2 => D2= 24/5 days.

8. (b)

9. (c)

10. (b)

125/100 * 12/100 * s = 2400

s = 16000