IBPS Clerk/RRB Mains 2016 - Practice Quantitative Aptitude Questions ( Application Problems) Set-71:
Dear Readers, Important Practice Aptitude Questions for IBPS Clerk Mains and Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.
Direction (Q. 1 - 10) :- Solve the following questions and choose the correct option given below :
1).Ravi, Rakesh and Vijay invest in a partnership in the ratio 7/2, 4/3, 6/5 respectively. After 4 months, Ravi increases his share 50%. If the total profit at the end of one year be Rs. 32,400, then what is Rakesh's share in the profit ?
a) Rs. 2000
b) Rs. 3000
c) Rs. 4000
d) Rs. 5000
e) Rs. 6000
2).If the number 481 * 637 is completely divisible by 9, what is the smallest number in place of * ?
a) 3
b) 7
c) 5
d) 9
e) 2
3).On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what is the remainder ?
a) 2
b) 3
c) 4
d) 5
e) 7
4).A metro shopkeeper has 2 cans of milk. The first contains 30% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the cans so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
a) 5 lit, 7 lit.
b) 9 lit, 3 lit.
c) 7.5 lit, 4.5 lit.
d) 4 lit, 8 lit.
e) None of these
5).There are 6 working days in a regular week and for each day, 10 hours is working hours. A woman earns Rs. 2.10 per hour. For regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did she work ?
a) 245
b) 225
c) 275
d) 255
e) 235
6).An athlete has to cover a distance of 18 km in 45 minutes. If he covers half of the distance in 1/3rd of the total time, what should be his speed (km/hr.) to cover the remaining distance in time ?
a) 15 km/h.
b) 12 km/h.
c) 18 km/h.
d) 9 km/h.
e) 15 km/h.
7).Two metro trains each 120m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster metro train is
a) 75 km/hr.
b) 72km/hr.
c) 45 km/hr.
d) 60 km/hr.
e) 50 km/hr.
8).An IPL team makes a score of 96 runs in the 17th inning and thus increases his average by 4. What is his average after 17th inning ?
a) 32
b) 35
c) 42
d) 36
e) 33
9).A Girl can row 30 km/hr. in still water and the river is running at 10 km/hr. If she takes 3 hour to row to a place and back, how far is the place ?
a) 16 km.
b) 30 km.
c) 40 km.
d) 50 km.
e) 60 km.
10).Anil father was 32 years of age when he was born, while his mother was 27 years, when his brother three years younger to him was born, what is the difference between age of his parents ?
a) 6 years
b) 5 years
c) 4 years
d) 3 years
e) 8 years
Ratio = 7/2: 4/3: 6/5 = 105x : 40x : 36x
Amount invested :-
Ravi = (105x × 4) + (105x × 150/100 ×8)
Rakesh = 40x × 12
Vijay = 36x × 12
Ratio of Share = 35 : 10 : 9
Rakesh’s share = 10/54 ×32400 = Rs.6000.
Let the smallest no. be x ,
so, 4 + 8 + 1 + x + 6 + 7 + 3 should be divisible by 9
29 + x, should be divisible by 9
if x = 7, 29 + 7 = 36, divisible by 9.
Number = 56 x + 29
Let x = 1, then number = 56 × 1 + 29 = 85
85 ÷ 8 = 10, remainder = 5.
Let x and (12 - x) be litres of milk from 1st and 2nd container :-
Amount of milk (x litres) of 1st container = 0.70 x
Amount of water = 0.3 x
Amount of milk (12 - x) in 2nd container = 0.5 (12 - x)
Amount of water = 0.5 (12 - x)
Ratio of water to milk =
[0.3x + 0.5(12 - x)]: [0.7x + 0.5(12 - x)] = 3: 5
Solving x = 7.5, 12 -x = 4.5
4 weeks = 4 × 6 × 10 = 240 hours.
regular = 240 ×2.10 = Rs. 504
Total = 525 - 504 = 21
21/4.2 = 5 hours, so total = 240 + 5 = 245 hours.
1/3 rd of 45 min. = 15 min. = 9 km.
Now, 9 km. = 30 min., so speed = 18 km/hr.
D = 120 + 120 = 240 m., t = 8s.
Speed of slow train = s, faster = 2s
Total speed = 2s + s = 3s
So, 3s = 240/8 = 30 m/s.
V = 30/3 m/s. = 10 m/s.
2V = 20 m/s. or 72 km/hr.
Let average after 17th innings = x
Total runs = 17x
average after 16th inning = x - 4
Total runs = 16 ( x - 4)
Also, 16 (x - 4) + 96 = 17 x => x = 32
D = x km.
Speed upstream = 30 - 10 = 20 km/hr.
Speed downstream = 30 + 10 = 40 km/hr.
x/20 + x/40 = 3 => x = 40 km.
Let Anita’s age = x, Father = x + 32
Anita’s mother = (x - 3) + 27
So diff. = ( x + 32) - ( x - 3 + 27) = 8
More Practice Aptitude Questions for IBPS RRB/clerk 2016 -Click Here
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