# Practice Quantitative Aptitude Questions For NICL AO Prelims 2017 (Answers Updated)

[Dated: 26th May] Practice Quantitative Aptitude Questions For NICL AO Prelims 2017 (Application Problems):

Dear Readers, Important Practice Aptitude Questions for Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the Bank Examination and other Competitive Examination can use this.

1). Y is 1.5 times as efficient as X. If X can complete 6/7th 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 m2, 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

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 m2Required 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