Quantitative Aptitude Practice Questions | IBPS Clerk | IBPS RRB | IBPS PO

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Quantitative Aptitude Practice Questions for IBPS Clerk, IBPS RRB, IBPS PO
1. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
a) 5 months
b) 6 months
c) 7 months
d) 4 months
e) 8 months
2. A can do a particular work in 6 days. B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
a) Rs. 380
b) Rs. 600
c) Rs. 420
d) Rs. 400
e) Rs. 500
3. Two trains are moving in opposite directions with speed of 60 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in _______ seconds
a) 56
b) 48
c) 47
d) 26
e) 35
4. Aarthi's age is 1/6th of her father's age. Aarthi's father's age will be twice the age of Gokul's age after 10 years. If Gokul's eighth birthday was celebrated two years before, then what is Aarthi's present age.
a) 10 years
b) 12 years
c) 5 years
d) 8 years
e) 15 years
5. A mixture contains milk and water in the ratio of 3:2. If 4 litre of water is added to the mixture, milk and water in the mixture become equal find the quantities of milk and water in the mixture.
a) 12, 8 litres
b) 4,3 litres
c) 12, 6 litres
d) 10,8 litres
e) None of these
Directions (6 – 10): The following bar-graph shows the number of adult Males and Females of six states and the line graph shows percentage of adult Males and Females who graduated in the last year:
6. What is the difference between the total number of Males and the total number of Males who graduated in the last year?
a) 123750
b) 122850
c) 120740
d) 126550
e) 129650
7. The total number of Females from Sikkim, Bihar and Gujarat who graduated in the last year is approximately what percentage less than the total number of Males from the same state who graduated in the last year?
a) 2%
b) 5%
c) 8%
d) 7%
e) 3%
8. In which pair of states the numbers of Males who graduated in the last year was equal?
a) Assam and Bihar
b) Bihar and Gujarat
c) Gujarat and Haryana
d) Assam and Gujarat
e) Bihar and Haryana
9. The total number of Females from Assam, Sikkim and Gujarat together who graduated in the last year is what percentage of the total number of Males from Assam and Bihar together who graduated in the last year?
a) 125.83%
b) 127.64%
c) 115.46%
d) 118.86%
e) 107.36%
10. What is the difference between the total numbers of females from all the six states together who graduated in the last year to the total number of males from all six states together who not graduated in the last year?
a) 109520
b) 115180
c) 106210
d) 101320
e) 110780
Solutions:
1. E) Let B joins for x months.
Then A:B = 85000×12 : x× 42500 = 3 : 1
= 850×12 : 425x= 3 : 1
= 850×12/ 425x = 3/1 = 3
= 850×4 /425x = 1
= 2×4/x = 1
= x = 8
2. D) Amount of work A can do in 1 day = 1/6
Amount of work B can do in 1 day = 1/8
Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24
Amount of work A + B + C can do = 1/3
Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24
Work A can do in 1 day: work B can do in 1 day: work C can do in 1 day
= 1/6 : 1/8 : 1/24 = 4 : 3 : 1
Amount to be paid to C = 3200 × (1/8) = 400
3. B) Relative speed = 60+90 = 150 km/hr (Since both trains are moving in opposite directions)
Total distance = 1.1+.9 = 2km
Time = 2/150 hr = 1/75 hr
= 3600/75 seconds
= 1200/25
= 240/5
= 48 seconds
4. C) Consider Aarthi's present age = x
Then her father's age = 6x
Given that Aarthi's father's age will be twice the age of Gokul's age after 10 years
= Gokul's age after 10 years = ½(6x + 10) = 3x + 5
Also given that Gokul's eighth birthday was celebrated two years before =>
Gokul's age after 10 years = 8 + 12 = 20
= 3x + 5 = 20
= x = 15/3 = 5
= Aarthi's present age = 5 years
5. A) Let quantities of milk and water in the mixture be 3x and 2x. Then if 4 litres of water is added to the mixture the ratio of milk and water become 1:1.
It can be written as (3x): (2x + 4) = 1/1
Thus, 3x = 2x +4
x = 4
Therefore, the milk in the mixture is 4x3 = 12 litres and quantity of water
= 4x2
= 8 litres
6. B) Total Males = 70 + 48 + 60 + 56 + 75 + 40 = 349 thousand
Total Male graduates = 70 × 0.8 + 48 × 0.7 + 60 × 0.56 + 56 × 0.7 + 75 × 0.45 + 40 × 0.75
= 56 + 33.6 + 33.6 + 39.2 + 33.75 + 30
= 226.15 thousand
Difference = 349 - 226.15
= 122.85 thousand
7. E) Female graduated in Sikkim = 25000 × 90/100 =22500
Female graduated in Bihar = 50000 × 72/100 = 36000
Female graduated in Gujarat = 72000 × 50/100 = 36000
Total = 94500
Male graduated in Sikkim = 40000 × 75/100 = 30000
Male graduated in Bihar = 48000 × 70/100 = 33600
Male graduated in Gujarat = 60000 × 0.56 = 33600
Total = 97200
Required per cent = (97200 – 94500)/ 97200 × 100
= 2700/97200 × 100
= 2.77% ≈ 3%
8. B) Male graduated in Assam = 70000 × 0.80 = 56000
Male graduated in Bihar = 48000 × 0.70 = 33600
Male graduated in Haryana = 56000 × 0.70 = 39200
Male graduated in Rajasthan = 75000 × 0.45 = 33750
Male graduated in Sikkim = 40000 × 0.75 = 30000
Male graduated in Gujarat = 60000 × 0.56 = 33600
Male graduated in Gujarat and Bihar are same
9. D) Female graduated in Assam = 64000 × 75/100 = 48000
Female graduated in Sikkim = 25000 × 90/100 = 22500
Female graduated in Gujarat = 72000 × 50/100 = 36000
Total = 48000 +22500 + 36000 = 106500
Male graduated in Assam = 70000 × 80/100 = 56000
Male graduated in Bihar = 48000 × 70/100 = 33600
Total = 56000 + 33600 = 89600
Required per cent = 106500 / 89600 × 100
= 118.86%
10. C) Total Females = 64000 × 0.75 + 50000 × 0.72 + 72000 × 0.5 + 80000 × 0.65 + 72000 × 0.48 + 25000 × 0.9
= 48000 + 36000 + 36000 + 52000 + 34560 + 22500 = 229060
Total Males not graduated = 70 × 0.2 + 48 × 0.3 + 60 × 0.44 + 56 × 0.3 + 75 × 0.55 + 40 × 0.25
= 14000 + 14400 + 26400 + 16800 + 41250 + 10000 = 122850
Difference = 106210