Quantitative Aptitude Practice Questions for IBPS Clerk/RBI Asst. Mains – Set 1

Quantitative Aptitude Practice Questions for IBPS Clerk/RBI Asst. Mains – Set 1
Directions (1 – 5): Given below are the two pie charts which shows the percentage distribution of people who travel a certain distance in Delhi metro and Mumbai metro on six different days of the week starting from Monday to Saturday.

Note:
1. Ratio of total person travelling in these six days in Delhi metro to Mumbai metro is 10 : 9
2. Difference between person travelling in Delhi metro and Mumbai metro on Wednesday is 70.
1. If fare per person in Delhi metro and Mumbai metro on all days for the particular distance is Rs. 18 and Rs. 20 respectively then what is the di􀃗erence between total fare obtained by both metro on Saturday.
a) 1375
b) 1750
c) 1850
d) 1700
e) 1650
2. If in both metro, number of people travelling on Sunday of same week decreases by ‘x’ with respect to people travelling on Saturday then the ratio of people travelling in Delhi metro to Mumbai metro on Sunday is 2 : 3, then find the value ‘x’
a) 20
b) 30
c) 22
d) 24
e) 25
3. Number of people travelling in Delhi metro on Wednesday and Thursday together is what percent of people travelling in Mumbai metro on Monday and Saturday together ?
a) 90 10/11%
b) 89 10/11%
c) 90 2/11%
d) 92 8/11%
e) 95 5/11%
4. If fare per person of Delhi metro to Mumbai metro is 10 : 9 on all days and sum of fare obtained from both metro on Tuesday is Rs. 4350, then total fare obtained from Delhi metro on Monday is what percent more or less than total fare obtained from Mumbai metro on Saturday.
a) 46 4/9%
b) 45 4/9%
c) 55 5/9%
d) 54 4/9%
e) 52 5/9%
5. If on Sunday of same week, person who travel by Delhi metro and Mumbai metro are increased by 20% and 30% respectively over Saturday, then total people who travelled by both metro on Sunday is what percent of total people who travelled by both metro on Monday.
a) 81 5/17%
b) 87 2/13%
c) 93 4/15%
d) 82 4/12%
e) 78 3/13%
6. If the difference between compound interest and simple interest on a certain sum of money for 3 years at 6% p.a. is Rs 220.32, what is that sum?
a) Rs.20000
b) Rs.25000
c) Rs.18000
d) Rs.30000
e) Rs.40000
7. A Chaiwala retailer sells tea leaves at a profit of 17.5%. If he had it bought it at 8% less and sold it at 30% profit, he would have earned Rs 11.55 more as profit. Find the cost price of the tea leaves.
a) Rs.675
b) Rs.575
c) Rs.700
d) Rs.550
e) Rs.650
8. The average of downstream and upstream speed of a boat in a river is 15 km/hr. A boat covers a downstream distance of 57.6 km in 3 hour 12 minutes. It will cover a distance of 480 km upstream in
a) 20 hours
b) 30 hours
c) 45 hours
d) 40 hours
e) 50 hours
9. Five years ago, the average age of 2 sisters was 27 years. If the difference between the ages of the sisters is 8 years, what will be the average age of the sisters after 5 years?
a) 32 years
b) 33 years
c) 34 years
d) 35 years
e) None of these
10. In a business Anil, Sushil, Dheeraj and Ishant invested money in the ratio of 18 : 20 : 21 : 28. After 4 months they increased their capital by 20%, 30%, 25% and 40% respectively. At the end of the 10 months Deeraj got Rs. 14490 from the total profit. Find the total profit.
a) Rs.56803
b) Rs.61578
c) Rs.54906
d) Rs.51630
e) Rs.58925
Directions (11 – 15): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
11. What is the marked price of the shirt?
I. A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount.
II. A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.
a) The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
b) The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
c) The data in statements I alone or in statement II alone is sufficient to answer the question.
d) The data in both the statements I and II is not sufficient to answer the question.
e) The data in both the statements I and II together is necessary to answer the question.
12. What is the present age of Sanjeev?
I.  Sanjeev is 4 years younger than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5.
II.  Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years.
III.  The present age of Sanjeev is 5 years less than the age of Mohan.
a) The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.
b) The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.
c) The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.
d) The data in all the statements I, II and III are not sufficient to answer the question.
e) The data in all the statements I, II and III together are necessary to answer the question.
13. What is the length of the train X?
I.  Two trains X and Y running in opposite directions and cross each other in 25 seconds.
II.  The length of the train Y is 320m and the difference between the speeds of trains X and Y is 14 km/h.
III.  The ratio of the speed of the trains is 19 : 26.
a) The data in statements I and statements II are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
b) The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.
c) The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
d) The data in all the statements I, II and III is not sufficient to answer the question.
e) The data in all the statements I, II and III together is necessary to answer the question.
14. Find the height of the cylinder.
I.  The Curved surface area of the cylinder is 396 cm2 and the total surface area of the cylinder is 1628 cm2.
II.  The radius of the cylinder is 0.5 cm more than the 3 times of the height of the cylinder.
a) The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
b) The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
c) The data in statements I alone or in statement II alone is sufficient to answer the question.
d) The data in both the statements I and II is not sufficient to answer the question.
e) The data in both the statements I and II together is necessary to answer the question.
15. Find the rate of interest.
I. A sum of money becomes double of itself at simple interest in 12.5 years.
II. 5000 becomes 5832 in 2 years at compound interest.
a) The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
b) The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
c) The data in statements I alone or in statement II alone is sufficient to answer the question.
d) The data in both the statements I and II is not sufficient to answer the question.
e) The data in both the statements I and II together is necessary to answer the question.


Solution:
1. C) Let total person travelling through Delhi metro in all six days = 10x
So total person travelled through Mumbai metro in all six days = 9x
According to condition
10x/100 × 50/3 – 9x/100 × 40/3 = 70
=> 500x – 360x = 70 × 300 => 140x = 21000
=> x = 150
Total person travelled through Delhi metro in all six days = 1500
Total person travelled through Mumbai metro in all six days = 1350
Total fare of Delhi metro on Saturday = 35/300 × 1500 × 18 = Rs.3150
Total fare of Mumbai metro on Saturday = 5/27 × 1350 × 20 = Rs.5000
Required difference = Rs.1850
2. E) ATQ,
(35/300 × 1500 – x)/(5/27 × 1350 – x) = 2/3
=> (175 – x)/(250 – x) = 2/3
=> 525 – 3x = 500 – 2x
=> x = 25
3. A) Total people travelling in Delhi metro on Wednesday and Thursday
= (10x/100) × (50/3 + 50/3) = 10x/3
Total people travelling in Mumbai metro on Monday and Saturday together
= 9x/100 × (200/9 + 500/27) = 11x/3
Required percentage= [(10x/3)/(11x/3)] × 100 = 1000/11% = 90 10/11%
4. C) Persons travelled on Delhi metro on Monday = 1500 × 70/300 = 350
Persons travelled on Mumbai metro on Saturday = 1350 × 500/2700 = 250
Let fare per person of Delhi metro and Mumbai metro is 10x and 9x respectively.
Required percentage = [(350 × 10x – 250 × 9x)/250 × 9x] × 100 = 1250x/2250x × 100 = 55 5/9%
5. D) Total persons travelling both metro on Sunday = 120/100 × 15 × 35/3 + 130/100 × 13.5 × 500/27 = 210 + 325 = 535
Total persons travelled by both metro on Monday = 15 × 70/3 + 13.5 × 200/9 = 350 + 300 = 650
Required percentage = 535/650 × 100 = 82 4/13%
6. A) Let Sum = x
Differnece = P  (r/100)^2 × (300 + r)/100
=> 220.32 = P × (6/00)^2 × (300 + 6)/100
=> P = (220.32 × 100 × 100 × 100)/(6 × 6 × 306)
=> P = Rs. 20000
7. D) Let cost price of the tealeaves be Rs t
Then as per the condition
t × 117.5/100 + 11.55 = t × 92/100 × 130/100
=> t = [11.55/(0.92 × 130 – 117.5)] × 100 = Rs.550
8. D) Let speed of boat be b km/hr
And speed of stream be c km/hr
Then downstream speed = (b + c) km/hr
And upstream speed = (b – c) km/hr
As per the condition,
[(b + c) + (b – c)]/2 = 15
=> 2b = 30kmph => b = 15kmph
Also, 3 + 12/60 = 57.6/(b + c)
On solving b + c = 18
c = 18 15 = 3 km/hr
Time required in covering a distance of 480 km upstream = 480/(15 – 3) = 40 hours
9. E) Let age of younger sister five years ago = x yrs
hence, age of elder sister five years ago = x + 8 yrs
Average = (x + x + 8)/2
=> 27 × 2 = 2x + 8
=> 54 – 8 = 2x
=> 2x = 46
=> x = 23
Present age of younger sister = 23 + 5 = 28 years
Present age of elder sister = 23 + 8 + 5 = 36 years
Average age after 5 years = (28 + 36 + 10)/2 = 37 years
10. B) Let Investment = 18x, 20x, 21x, 28x
New ratio = (18x × 4) + (18x × 120% × 6) : (20x × 4) + (20x × 130% × 6) : (21x × 4) + (21x × 125% × 6) : (28x × 4) + (28x × 140% × 6)
= (72x + 129.6x) : (80x + 156x) : (84x + 157.5x) : (112x + 235.2x)
= 201.6 : 236 : 241.5 : 347.2
Total profit = (14490/241.5) × 1026.3 = Rs.61578
11. A) From Statement I:
Cost price of a shirt = 1100 Rs.
Selling price = 1100 + 55 = 1155 Rs.
Marked price = 1155 / 77 × 100 = 1500 Rs.
Statement I is sufficient to answer the question.
From Statement II:
Let the cost price = x Rs.
Marked price  = x × 136% = 1.36x
Selling price = x + 200
Statement II is not sufficient to answer the question.
12. A) From Statement I:
Let Anuj = 4x, Vipin = 5x
Sanjeev = 4x + 4
From Statement II:
Anuj = 20 years, Sanjeev = x, Vipin = x + 1
Statement III:
Let age of Mohan = m years
Sanjeev = m - 5 years
From Statement I + Statement II:
Anuj = 20 years, Vipin = 20/4x × 5x = 25 years
Sanjeev = 25 – 1 = 24 years
Statement I and II both are necessary to answer the question.
13. E) From Statement I:
Time = 25 seconds
Relative speed = length of trains/25
From Statement II:
Length of train Y = 320m
Difference of speed = 14 km/h
From Statement III:
Let the speeds = 19x, 26x
Statement I + Statement II + Statement III
26x – 19x = 14
7x = 14
x = 2
Speed = 52 km/h, 38 km/h
(52 + 38) × 5/18 = (a + 320)/25
25 × 25 = a + 320
625 – 320 = a
a = 305 m
Therefore, all the statements are necessary to answer the question.
14. A) From Statement I:
Let radius = r, height = h
Curved surface area = 2πrh
396 = 2 × 22/7 × r × h => rh = 63
Total Surface area = 2πrh + 2πr2
1628 = 22/7 (rh + r^2)
=> (rh + r^2) = 259
63 + r= 259
r= 259 - 63 = 196
r = 14
r × h = 63
14 × h = 63
h = 4.5 cm
Statement I is alone sufficient to answer the question.
From Statement II:
r = 3h + 0.5 
Statement II is not alone sufficient to answer the question.
15. C) From Statement I:
Let sum = x ?, rate = y%
x = x × 12.5 × y%
y = 8%
Statement I is alone sufficient to answer the question.
From Statement II:
A = P (1 + r/100)^t
=> 5832 = 5000 (1 + r/100)^2
Statement II is also alone sufficient to answer the question.