**1). Y is 1.5 times as efficient as X. If X can complete 6/7**

^{th}of a given task in 1 2days, what fraction of the same task would remain complete if Y works on it independently for 6 days only?a) 2/5

b) 3/5

c) 4/10

d) 5/14

e) 3/7

**2). P starts a small business with Rs. 3600. At the end of few months from the start of business, Q joined the business with Rs. 4000. If the annual profit between them P and Q was divided between them in the respective ratio of 6 : 5, then Q joined the business after how many months from the start of the business?**

a) Four

b) Two

c) Six

d) Five

e) Three

**3). The sum of the dimensions of a room (i.e. length, breadth and height) is 24 m and its length, breadth and height are in the ratio of 8 : 7 : 5 respectively. If the room to be painted at the rate of 12 per m**

^{2}, what would be the total cost incurred on painting only the four walls of the room (in Rs.) ?a) Rs. 2,592/-

b) Rs. 2,648/-

c) Rs. 2,848/-

d) RS. 2,120/-

e) Rs. 1, 956/-

**4). A boat takes a total time of 8 hours to travel 63 km upstream and the same distance downstream. The speed of the 1 current is 1/8 th of the speed of the boat in still water. What is the speed of the boat in still water ? (in km/h)**

a) 32

b) 24

c) 16

d) 8

e) 36

**5). P, Q and R have a certain amount of money with themselves. Q has 25% more than what P has, and R has 1/5th of what Q has. If P, Q and R together have Rs. 150/-, then how much money does P alone have ? (Rs. in)**

a) 40

b) 70

c) 80

d) 60

e) 50

**6). In a class, the average weight of 40 boys is 65 kg and that of 50 girls is 60 kg. After a few days, 40% of the girls and 50% of the boys leave. What would be the new average weight of the class (in kg)? Assume that the average weight of the boys and the girls remains constant throughout.**

a) 63

b) 62.5

c) 63.2

d) 55.7

e) 58

**7). At its usual speed, a train of length L metre crosses platform 300 m long in 25 sec. At 50% of its usual speed, the train crosses a vertical pole in 20 sec. What is the value of L ?**

a) 160 m

b) 260 m

c) 200 m

d) 310 m

e) 350 m

**8). Jar A has 36 litre of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litre of mixture of milk and water, was emptied into Jar A, and as a result in Jar A, the respective ratio of milk and water becomes 5 : 3. What was the quantity of water in Jar B ?**

a) 5 litre

b) 3 litre

c) 8 litre

d) 2 litre

e) 1 litre

**9). Three years ago, the respective ratio between A’s age at that time and B’s age at that time was 9 : 5. A’s age two years hence will be 17 years more than B’s age five years hence, what is B’s present age ?**

a) 26 years

b) 27 years

c) 28 years

d) 24 years

e) 23 years

**10). The sum of a series of 5 consecutive odd numbers is 225. The second number of this series is 15 less than the second lowest number of another series of 5 consecutive even numbers. What is 60% of the highest number of this series of consecutive even numbers?**

a) 36.0

b) 34.6

c) 38.4

d) 40.8

e) 39.2

__Solution With Answer Key:__**1). D)**

A completes 6/7-th of the given task in 12 days.

Time taken by X to complete the work

= (12 x 7) / 6 = 14 days

Time taken by Y = 14 / 1.5 days

Y’s 1 day’s work = 1.5/14

Y’s 6 day’s work = (6 × 1.5)/14 = 9/14

Remaining work =1 – (9/14) = 5/14

**2). E)**

Let Q invested the sum for x months.

Ratio of profits of P and Q = Ratio of investments of P and Q

6 :5 = (3600 x 12) : (4000 x x)

6 :5 =54:5x

6/5 = 54 /5x

x=9

Required time =12 — x =12 — 9 = 3 months

**3). A)**

Let the length of the room = 8x ; Breadth = 7x ; Height = 5x

According to question,

8x + 7x +5x= 24

20x =24

x = 1.2 m

Length of room = 8x = 8 x 1.2 = 9.6 m

Breadth = 7x =7 x 1.2 = 8.4 m

Height = 5x = 5 x 1.2 = 6 m

Area of the four walls of the room = 2(l+ b) x h =2(9.6+8.4)x6 = 2 x 18 x6 =216 m

^{2}Required cost = 216 x 12 = Rs.2,592 /-

**4). C)**

Let the speed of current = x km/h

and speed of boat in still water = 8x km/h

Downstream speed = x+ 8x = 9x km/h

Upstream speed = 8x – x = 7x km/h

According to question,

(63/9x) + (63/7x) = 8

7/x + 9/x =8

16 =8xàx = 2 km/h

Speed of boat in still water = 8x = 8 x 2 =16 km/h

**5). D)**

Let P has money = Rs.x

Q has money = x x (125/100) =Rs. 5x/4

R has money = (5x/4) x (1/5) =Rs. (1x / 4)

According to question,

x+ (5/4) x+ (1/4) x=150

(4x + 5x + x) / 4 =150

10x =150 x 4

x = Rs. 60/-

.•. P has money = Rs. 60/-

**6). B)**

New number of boys = 40 x (50/100) = 20

New number of girls = 50 x (40/100) =20

New average weight of the class = ( 20 x 65 + 20 x 60) / (20 + 20)

= (1300 + 1200) /40 = 2500 / 40

= 62.5 kg

**7). C)**

Speed of train = (300 + L) / 25 m/sec

According to question,

1/2 [(300 + L) / 25] = L/20

3000 + 10L = 25 L

15 L =3000

L=200m.

**8). A)**

Quantity of milk in Jar A = 36 x (5/9) = 20 litre

and quantity of water = 36 x (4/9) = 16 litre

Let the quantity of water in Jar B = x litre

and the quantity of milk = (20 – x) litre

According to question,

(20 + 20 – x) / (16 + x) = 5 / 3

(40 – x) / (16 + x) = 5 / 3

120 -3x = 80 + 5x

8x = 40

x = 5 litre

**9). A)**

Let A’s present age = 9x + 3

and B’s present age = 5x + 3

According to question,

(9x + 3) + 2 = (5x + 3) + 5 + 17

9x+ 5 = 5x + 25

4x = 20à x =5 years

B’s present age 5x + 3

(5 x 5) + 3 =28 years

**10). C)**

Let five consecutive odd numbers are x, x + 2, x + 4, x + 6 and x + 8.

According to question,

x+ x + 2 + x + 4 + x+ 6 +x+ 8 =225

5x + 20 =225

x= 205 / 5

x = 41

Second odd number = x + 2 = 41 + 2 = 43

Second number in all the even numbers = 43 + 15 = 58

Highest even number =58 + 6 = 64

60% of 64 = (64 x 60) / 100 =38.4