Quantitative Aptitude Quiz for Upcoming IBPS Exams – Set 24 | Word Problems

(1) A group of men decided to do a job in 4 days but 20 men dropped out everyday, this job was completed at the end of the 7th day. Find the men who are in the work initially ?
A) 155.
B) 135.
C) 120.
D) 140.
E) 160.

(2) A man invests Rs 36000 In a bank in start of February 2016. Interest accrued by the end of October 2016 is Rs. 5674.50. If the interest is compounded quarterly then what was the rate of interest per Annum ?
A) 15%.
B) 18%.
C) 25%.
D) 20%.
E) 28%.

(3) Three workers Om, Jay and Jagdis are entrusted with a construction work. Om can do the work alone in 42 days. If Jay is 26% more efficient than om and Manu is 50% more efficient than jay. Then how long will Jay and Jagdish together take to complete the work ?
A) 37/3 day.
B) 38/3 days.
C) 37/4 days.
D) 40/3 days
E) 41/3 days.

(4) Ramesh obtained equal marks in Hindi and English. The ratio of marks obtained in English and Geography is 2:3 and the ratio of marks obtained in Hindi and philosophy is 1:2. If he obtained overall 55% marks in the four Subjects then in how many Subjects did he obtain equal to or greater than 60% marks. The maximum marks is Same for all subjects ?
A) 1.
B) 2.
C) 3.
D) 0.
E) NOT

(5) A 2 ltr container filled with a solution having 25% solvent concentration whole another 6 ltr container is filled with a solution having 40% solvent concentration. Both the container are emptied into a container of 10 ltr capacity and the remaining volume of the container is filled by water. What is the % of solvent concentration in the solution of 10 ltr container?
A) 14%.
B) 29%.
C) 33%.
D) 39%. E) 31%

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(6) 10 identical mangoes are to be distributed among 3 kids. What is probability that two of kids get number of mangoes ?
A) 1/4.
B) 2/3.
C) 1/2.
D) 1/2.
E) Not

(7) Saurav bought an Article and sold it at a gain of 15%. If he had bought at 10% less and sold it at Price Rs 21 less than he originally would have, he still would have made a gain of 20%. Find at what price he should sell the same article so as to make a gain of 20% after he buys same product at a price which is 5% greater than the original price ?

A) Rs 370.
B) Rs 378.
C) Rs 420.
D) Rs 384.
E) Rs 360.

(8) Fresh Grapes contain 82% water and dried grapes contain 20% water . How many kg of dried grapes can be obtained from 80 kg of fresh water ?

A) 14.4 kg.
B) 12 kg.
C) 20 kg.
D) 16 kg.
E) 18 kg.

(9) The ratio of the Sum of monthly income of (A+B) to that of (B+C) is 5:6. The ratio of the Sum of the monthly income of (B+C) to (C+A) is 3:4. If the monthly income of A is Rs 7000. Find the monthly income of B in Rs ?

A) 8,000.
B) 3,000.
C) 6,000.
D) 9,000.
E) 4,000

(10) Two kids A and B have a bucket. Full of toffees. If A gives 4 toffees to B then B will have 2 times as many toffees  as A will have. If B gives 15 toffees to A then A will have 10 times as many toffees as B. Find the total number of toffees with both of them ?

A) 15.
B) 20.
C) 33.
D) 42.
E) NOT

Solutions:
(1) D.

4x = x + (x-20) + (x-40) + (x-60) +(x-80) + (x-100) + (x-120)

4x = 7x- 420
3x = 420
x = 140

(2) D.
Use formula of Amount (P+Ci)
41674.5 = 36000(1+r/400)^3

416745/360000 = (400+r/400)^3

21/20 = (400+r)/400
420-400 = r
R= 20%

(3)D.

Om = 42 days

Jay = 42×100/126 = 100/3

Jagdish = 100/3 × 100/150 = 200/9

Jay + Jagdish

Total unit = 200 ( LCM of Jay and Jagdish)

Unit per day of Jay and Jagdish = 15 (if work is 200 unit)
So, total days = 200/15 = 40/3

(4) B.
Let no of marks in each subject is 100

Ratio of subjects,
Phi : Hin : Eng : Geo = 4x : 2x : 2x : 3x
400×55/100 = 220
So, 11x = 220
X = 20
Philosophy = 80
Hindi = 40
English = 40
Geo = 60

Only two subjects

(5) B.

2×1/4 = 0.5 ltr (solvent)

6×4/10 = 2.4 ltr (solvent)

2.9/100 = 29 %

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(6) D.
Possible distribution
1,1,8
1,2,7
1,3,6
2,2,6
2,3,5
2,4,4
3,3,4

4/8 = 1/8

(7)B.
Cp×115/100- 21 = Cp×90/100 × 6/5

CP ×7/100 = 21
 CP = 300
SP= 300×21/20 × 6/5 = 378

(8) E.

The quantity of pulp (the part that has not water)
In 80kg of fresh Grapes
= 80 × 18/100 = 14.4 kg

Dried grapes have 80% pulp
So, Dried grapes ×4/5 = 14.4
Dried grapes = 18 kg

(9)B.

(A+B) : (B+C) = 5:6
(B+C) : (C+A) = 3:4
2A : 2B : 2C = 5:6:8

A+B+C = 19/2 = 9.5
A = 9.5- 6 = 3.5 = 7000

Unit value = 2000
So, B = (5×2000)- 7000 = 3000

(10)C.
(A-4)2 = B+4
 2A -8 = B+4
2A-B = 12.————-(1)

(B-15)10 = (A+15)
10B – A = 165 ———–(2)

After solving equation total number of toffees
= 33

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