Complete Quantitative Aptitude Questions Complete Quantitative Aptitude Questions for SBI,IBPS ...

460 Pages·2012·2.74 MB·English

Complete Quantitative Aptitude Questions

Complete Quantitative Aptitude Questions for SBI,IBPS RRB/PO/Clerk

S.NO TOPICS PAGE NO
1 PERCENTAGE 2
2 MENSURATION 28
3 PERMUTATION AND COMBINATION 42
4 MIXTURE AND ALLIGATION 60
5 BOATS AND STREAMS 82
6 PROBABILITY 100
7 PROBLEMS ON TRAIN 114
8 AVERAGE 147
9 PROFIT AND LOSS 193
10 PARTNERSHIP 222
11 PIPES AND CISTERN 260
12 SIMPLE INTEREST AND COMPOUND INTEREST 285
13 RATIO AND PROPORTION 346
14 PROBLEMS ON AGES 390
15 TIME, SPEED AND DISTANCE 403
16 TIME AND WORK 431

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Complete Quantitative Aptitude Questions

1. PERCENTAGE

Type I :Based on basic type

1). In final exam of class IX there are 130 students 20 % students failed. How many students passed to class
X?
a) 105
b) 112
c) 104
d) 117
e) 104.5

2) Sanjay gets 72 % marks in examinations. If these are 864 marks, find the maximum marks.
a) 1050
b) 860
c) 1225
d) 1200
e) 1500

3). Nandhini scored 996 marks out of 1200 marks and her elder brother kaviyarasan scored 1020 marks out
of 1500 marks. Find the scored percentage which is better?
a) 68%
b) 83%
c) 65%
d) 85%
e) 97%

4). In a college of 1335 students, 60 % are boys. Find the number of girls and number of boys in the college?
a) 924,221
b) 691,404
c) 802,333
d) 441,564
e) 534,801

5). A foot ball team lost 75 % of the matches it played. If it won 45 matches, find the number of matches it
played.
a) 120
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Complete Quantitative Aptitude Questions

b) 145
c) 105
d) 140
e) 180

6). In a plot of 18000 sq. m., only 13500 sq. m. is allowed for construction. What percent of the plot is to be
left without construction?
a) 25
b) 60
c) 45
d) 40
e) 98

7). Nesha scored 120 out of 150 in English, 120 out of 180 in mathematics and 160 out of 200 in Science.
Find Nesha’s score as percentage:
(i) in Mathematics
(ii) in all the three subjects (on the whole).
a) 66 2/3, 78 22/51
b) 71 23/5, 45 7/31
c) 54 13/33, 82 3/4
d) 60 3/4, 76 32/41

8). An alloy contains 36 % of bronze. What quantity of alloy is required to get 340 g of bronze?
a) 1500
b) 944.4
c) 950
d) 1000
e) 980.5

9). In a basket of eggs, 20% of them are rotten and 68 are in good condition. Find the total number of eggs in
the basket.
a) 85
b) 60
c) 75
d) 40
e) 98

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Complete Quantitative Aptitude Questions

10). Gugan obtained a total of 1313 marks out of 1400 in an examination. What is his approximate
percentage in the examination?
a) 25
b) 60
c) 45
d) None
e) 98

1). Answer: C)
Percentage of students passed to class X = (100 % - 20 %) of 130
= 80 % of 130
=>80 % of 130
=> 80/100 × 130
=>10400/100
=> 104
Therefore, 104 students passed to class X

2) Answer: D
Let the maximum marks be s
Then 72 % of s = 864
72/100 × s = 864
s = (846 × 100)/72
s = 86400/92
s = 1200
Therefore, maximum marks in the examinations are 1200.

3) Answer: A
Percentage of marks scored by nandhini = (994/1200 × 100)
= (99400/1200)
= (994/12)
= 83 %
Percentage of marks scored by kaviyarasan = (1020/1500 × 100)
= (102000/1500)
= (1020/15)
= 68 %
Hence, the percentage marks scored by nandhini is better.

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Complete Quantitative Aptitude Questions

4) Answer: E
Number of boys in the college = 60 % of 1335
= 60/100 × 1335
= 80100/100
= 801
Number of girls in the college = Total number of students in the college - Number of boys
= 1335 – 801
=534
5). Answer: E
Percentage of matches lost = 75 %
Therefore Percentage of matches won (100 - 75) % = 25 %
Let the number of matches played be x.
Then 25 % of x = 45
25/100 × x =45
x = (45 × 100)/25
x = (4500)/25
x = 180
Therefore, the total number of matches played is 180.

6). Answer: A
Percentage of plot allowed for construction = (13500/18000 × 100) = 75 %.
Thus, the percentage of plot to be left without construction = 100 % - 75 % = 25 %.

7). Answer: A
(i) Percentage scored in Mathematics = 120/180 × 100
= 12000/180
=1200/18
= 662/ %
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(ii) Total maximum of all the three subjects = 150 + 160 + 200 = 510 and
Total score in the three subjects = 120 + 120 + 160 = 400
Therefore, percentage on the whole = (400/510 × 100)
= (40000/510)
= 4000/51
= 7822/ %
51
8). Answer: B
Let the quantity of alloy required = x g
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Complete Quantitative Aptitude Questions

Then 36 % of x =340 g
⇒ 36/100 × x = 340 g
x = (340 × 100)/36 g
x = 34000/36 g
x = 944.4 g
9). Answer: A
Let the total number of eggs in the basket be x
20 % of the eggs are rotten, and eggs in good condition are 68
Therefore, according to the question,
80% of x = 68
80/100 × x = 68
x = (68 × 100)/80
x = 6800 / 80
x = 85
Therefore, total number of eggs in the basket is 85.

10). Answer: D
Required percentage = 1313/ 1400 × 100
=131300/1400
=93.7

Type II: Something more or less by x% or mixture and allegation

11) Brother's weight is 25 % more than that of sister. What percent is brother’s weight less than sister's
weight?
a) 25%
b) 60%
c) 45%
d) 20%
e) 98%

12) What percent of a day in 12 hours?
a) 25
b) 60
c) 45
d) 20
e) 50
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Complete Quantitative Aptitude Questions

13) One sixth of half of three fourth of a number is 25.What will be 30% of that number?
a) 800
b) 120
c) 340
d) 300

14). A mixture of 60 kg of rice and dhal contains 60% of dhal. The new mixture is formed by adding 15 kg of
dhal. What is the percentage of rice in the new mixture?
a) 25
b) 64
c) 45
d) 32
e) 98

15) A mixture of 90 kg of rava and sugar contains 90% of sugar. The new mixture is formed by adding 30 kg
of sugar. What is the percentage of sugar in the new mixture?
a) 45 1/2
b) 60 1/5
c) 45 1/2
d) 92 1/2
e) 98 1/2

Type III: Based on income, expenditure

16) mouli had $ 3600 left after spending 40 % of the money he took for shopping. How much money did he
take along with him?
a) 2500
b) 6000
c) 4500
d) 3000
e) 9800

17) Two employees X and Y are paid a total of Rs. 4950 per week by their employer. If X is paid 150 percent
of the sum paid to Y, how much is Y paid per week?
a) 1250
b) 3760
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Complete Quantitative Aptitude Questions

c) 2405
d) 1540
e) 1980

18) Mithun went to a shop and bought things worth Rs. 75, out of which 90 Paise went on sales tax on taxable
purchases. If the tax rate was 18%, then what was the cost of the tax free items?
a) 12.5
b) 69.80
c) 19.7
d) 34.5
e) 69.1
19)
From the salary of shreya, 15% is deducted as house rent, 15% she spends on children’s education and 20%
on watching movies. If her savings are Rs.8450/- then her total salary is:
a) 13500
b) 2360
c) 16900
d) 11520
e) 23198

20) Forty percent of Mouli’s annual salary is equal to 160% of Surya’s annual salary. Surya’s monthly salary
is 80%of Gowthaman’s monthly salary. If Gowthaman’s annual salary is ` 12 lacs, what is Mouli’s monthly
salary ? (At some places annual income and in some place monthly income is given.)
a) 180000
b) 1200000
c) 320000
d) 250000

11) Answer: D
Let sister's weight be 100 kg.
Then brother's weight = (100 + 25) kg = 125 kg
If brother's weight is 125 kg, then sister's weight is 100 kg.
If brother's weight is 1 kg, then sister's weight is 100/125 kg
If brother's weight is 100 kg, then sister's weight = (100/125 × 100) kg
Therefore, sister's weight is 20 % less than that of brother.

12) Answer: E
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Complete Quantitative Aptitude Questions

Total hours in a day = 24
Required percent = 12/24 ×100
= 50%
13) Answer: B
(1/6) ×(1/2)×(3/4)× x = 25
x/16 =25
x = 25×16
x = 400
30 % of 400 = 30/100 ×400
= 12000/100
= 120

14). Answer: D
60 kg = 36 kg dhal 24 kg rice
-------- 15 kg dhal
Total = 15 kg dhal 24 kg rice (new)
24/75×100=32%

15) Answer: D
90 kg = 81 kg sugar 9 kg rava
Adding = 30 kg sugar
Total = 111kg sugar 9kg rava (new)
111/120 × 100 = 92.5 =92 1 /2

16) Answer: B
Let the money he took for shopping be x.
Money he spent = 40 % of x
= 40/100 × x
= 4/10 x
Money left with him = x – 4/10 x = (10x – 4x)/10 = 6x/10
But money left with him = 3600
Therefore 6x/10 = 3600
x = 3600× 10/6
x = 36000/6
x = 6000
Therefore, the money he took for shopping is 6000.

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Complete Quantitative Aptitude Questions

17) Answer: E
Let the amount paid to X per week = x
and the amount paid to Y per week = y

Then x + y = 4950
But x = 150% of y
= 150y/100
= 15y/10
∴15y/10 + y = 4950
⇒ y[15/10 + 1] = 4950
⇒ 25y/10 = 4950
⇒ 25y = 49500
⇒ y = 49500/25
y = Rs.1980
18) Answer: E
Total cost of the items he purchased = Rs.75
Given that out of this Rs.75, 90 Paise is given as tax

=> Total tax incurred = 90 Paise
= Rs.90/100
Let the cost of the tax free items = x
Given that tax rate = 18%
∴ (75− 90/100 − x)18/100 = 90/100
⇒ 18(75 −0.9 −x) = 90
⇒ (75 − 0.9 − x) = 5
x = 75 − 0.9 – 5
X=69.1

19) Answer: C
She spends = 50% remaining 50% = 8450
Total salary = 8450 × 100 / 50
= 845000 / 50
= 16900
20) Answer: C
Gowthaman’s monthly salary = 12,00,000/12
= 1,00,000
Surya’s monthly salary = 1,00,000 x 80/100
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