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# SBI Clerk Prelims Quantitative Aptitude Paper 2021

Direction (1-10):-What will come in the place of the question mark ‘?’ in the following question?

Que. 1
? = 40% of 320 + 43 ÷ 16 × 108 ÷ 8

1. 176
2. 172
3. 168
4. 166
5. 182
Explanation:-
? = 40% of 320 + 4³ ÷ 16 × 108 ÷ 8
=> ? = 40/100 × 320 + 64/16 × 108/8
=> ? = 128 + 54
:. ? = 182
Que. 2
35% of 180 + 18² = (27)^5/3 + ?²

1. 18
2. 15
3. 12
4. 13
5. 14
Explanation:-
35% of 180 + 18² = (27)^5/3 + ?²
=> 35/100 × 180 + 324 = (3)^(3×5/3) + ?²
=> 63 + 324 = 3⁵ + ?²
=> ?² = 387 – 243
=> ?² = 144
=> ? = √144
:. ? = 12
Que. 3
38 + 41 × (441 ÷ 21) – 17² = ?

1. 605
2. 209
3. 610
4. 508
5. None of these
Explanation:-
38 + 41 × (441 ÷ 21) – 17² = ?
=> 38 + 41 × 21 – 289 = ?
=> ? = 38 + 861 – 289
:. ? = 610

Que. 4
(25² – 106) ÷ 3 – 13² + 35 = ?
1. 39
2. 41
3. 43
4.35
5. None of these
Explanation:-
(25² – 106) ÷ 3 – 13² + 35 = ?
=> (625 – 106) ÷ 3 – 169 + 35 = ?
=> ? = 519/3 – 134
=> ? = 173 – 134
:. ? = 39
Que. 5
215 + 369 – 60% of 900 + 5 = ?²

1. 8
2. 7
3. 6
4. 9
5. None of these
Explanation:-
215 + 369 – 60% of 900 + 5 = ?²
=> 584 – 540 + 5 = ?²
=> ?² = 49
:. ? = √49 = 7
Que. 6
40% of 820 + 60% of 390 – 511 = 49 + ?

1. 8
2. 1
3. 3
4. 2
5. None of these
Explanation:-
40% of 820 + 60% of 390 – 511 = 49 + ?
=> 328 + 234 – 511 – 49 = ?
=> ? = 562 – 560
:. ? = 2
Que. 7
39.57 + 56.83 – 19.31 × 4 + 7.84 = ?

1. 25
2. 28
3. 27
4. 26
5. None of these
Explanation:-
39.57 + 56.83 – 19.31 × 4 + 7.84 = ?
=> 96.40 – 77.24 + 7.84 = ?
:. ? = 27
Que. 8
17 × 18 ÷ √324 × 11 + 48 – 10 = ?²

1. 12
2. 14
3. 15
4. 13
5. None of these
Explanation:-.
17 × 18 ÷ √324 × 11 + 48 – 10 = ?²
=> 17 × 18 ÷ 18 × 11 +38 = ?²
=> ?² = 17 × 1 × 11 + 38
=> ?² = 187 + 38
=> ? = √225
:. ? = 15
Que. 9
? × 22 = 2740 ÷ 20 – [(100/9)% of 729 – 10]

1. 2
2. 5
3. 3
4. 4
5. None of these

Explanation:-
? × 22 = 2740 ÷ 20 – [(100/9)% of 729 – 10]
=> ? × 22 = 137 – [ 100/900 × 729 – 10]
=> ? × 22 = 137 – 71
=> ? = 66/22
:. ? = 3
Que. 10
( ?)^⅔= 64% of 150 + 7 × 3 – 9²

1. 1296
2. 36
3. 6
4. 216
5. None of these
Explanation:-
( ?)^⅔= 64% of 150 + 7 × 3 – 9²
=> (?)^⅔ = 64/100 × 150 + 21 – 81
=> (?)^⅔ = 96 – 60
=> ? = (36)^³/²
=> ? = 6²*³/²
:. ? = 216

Direction( 11 – 15): Study the data carefully and answer the following questions.

Following is the data given of selling 2 types of pizza from 4 shops A, B, C and D.

Solution ( 11-15):-
Shop         Small sized          Medium sized
A                     44                           36
B                     56                           40
C                     40                           48
D                     34                           28

Que. 11
Find the difference between total number of small sized pizzas sold from shop A, B and D together and total number of pizza sold from Shop C together.

1. 34
2. 42
3. 46
4. 52
5. None of these

Explanation :-
Small sized pizza sold by Shop A,B & D together = (44+56+34)= 134
Total number of sold by Shop C =(40+48) = 88
:. Required difference = ( 134 – 88) = 46

Que. 12
The total number of pizzas sold from shop D is what % of the total number of pizzas sold from shop A?
1. 77.5%
2. 82.5%
3. 90.75%
4. 62.5%
5. None of these

Explanation:-
Required percentage = 62/80 × 100% = 77.50%

Que. 13
Find the ratio between the total number of pizzas sold from shop C to that of shop B.

1. 13 : 12
2. 11 : 12
3. 12 : 13
4. 22 :23
5. None of these

Explanation :
Total number of pizza sold by Shop C = ( 40 + 48) = 88
Total number of pizza sold by Shop B = ( 56 + 40) = 96
Required ratio = 88 : 96 = 11 : 12

Que. 14
What is the average of the total number of medium-sized pizzas sold from all the shops together?

1. 40
2. 44
3. 52
4. 38
5. None of these

Explanation :-
Total Medium sized pizzas sold by all shops
= (36+40+48+28) = 152
Required average = 152/4 = 38

Que. 15
If the number of large-sized pizzas sold from shop C is 20% of the number of small-sized pizzas
sold, then find the total number of pizzas sold from shop C.

1. 90
2. 102
3. 96
4. 104
5. None of these

Explanation:-
Large-sized pizza sold by C = 40 × 20/100 = 8
Total number of pizzas sold by C = ( 40 + 48 + 8) = 96

Direction( 16 – 20):- In each of the following number series, the wrong number is given, find out that number.

Que. 16
12, 14, 18, 23, 32, 42, 54
1. 12
2. 32
3. 23
4. 18
5. 52
Explanation:-
12 + 2 = 14
14 + 4 = 18
18 + 6 = 24
24 + 8 = 32
32 + 10 = 42
42 + 12 = 54

Que. 17
38, 39, 43, 52, 70, 93, 129

1. 70
2. 52
3. 93
4. 129
5. 39
Explanation:-
38 + 1² = 39
39 + 2² = 43
43 + 3² = 52
52 + 4² = 68
68 + 5² = 93
93 + 6² = 129

Que. 18
18, 35, 69, 136, 273, 545

1. 69
2. 35
3. 18
4. 136
5. 273
Explanation:-
(18 × 2) – 1 = 35
(35 × 2) – 1 = 69
(69 × 2) – 1 = 137
(137 × 2) – 1 = 273
(273 × 2) – 1 = 545

Que. 19
48, 41, 34, 27, 21, 13, 6

1. 13
2. 21
3. 41
4. 6
5. 27
Explanation:-
48 – 7 = 41
41 – 7 = 34
34 – 7 = 27
27 – 7 = 20
20 – 7 = 13
13 – 7 = 6

Que. 20
87, 88, 84, 110, 95, 220

1. 95
2. 220
3. 110
4. 87
5. 88
Explanation:-
87 + 1³ = 88
88 – 2² = 84
84 + 3³ = 111
111 – 4² = 95
95 + 5³ = 220

Que. 21
Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44 m wide. The time taken for the rise in the level of water in the tank to be 7 cm is (in hours)
1. 2
2. 3
3. 2.5
4. 1.5
5. none of these
Explanation :-
5 km/h = 5000 m/hr
Radius of pipe = 14/2 cm = 7 cm = 7/100 m
Volume of Water flowing through the pipe per hour
= πr²h = 22/7 × 7/100 × 7/100 × 5000 = 77 m³
Water volume can be filled in rectangular tank in an hour
= length × breadth × height
= 50 × 44 × 7/100 = 154 m³
:. Required time = 154/77 = 2 hours.

Que. 22
Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they start working together?
1. 15 days
2. 20 days
3. 22.5 days
4. 25 days
5. None of these
Explanation:-
Let,                    A            B
(Efficiency):     3x      :       x
(Time)              x      :       3x
According to Question,
3x – x = 60
:. x = 30
A  = 30 days
B  = 3×30 = 90 days
A’s 1 day work = 1/30
B’s 1 day work = 1/90
(A+B)’s 1 day work = (1/30 + 1/90) = 4/90
:. (A+B) complete the work in 90/4 days = 22.5 days.
Tricks :-
A          B
Efficiency       3    :      1
Time               1    :      3
2 unit = 60 days
1 unit = 30
A = 30 days
B = 3×30 = 90 days
LCM = 90
Work done by A = 90/30 = 3
Work done by B = 90/90 = 1
:. They Together finish the work in = 90/(3+1) days = 22.5 days

Que. 23
Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in
1. 6 hrs
2. 3.5 hrs
3. 4 hrs
4. 2.5 hrs
5. none of these
Explanation:-
Pipe A can fill in 2 hours = 2/8 = 1/4
Pipe B can fill in 2 hours = 2/6 = 1/3
Pipe ( A + B) together can fill in 2 hours = 1/4 + 1/3 = 7/12
Remaining part (1-7/12) = 5/12 filled by pipe B.
Time taken by B to fill the remaining part = 6 × 5/12 = 2.5 hours.

Que. 24
The ratio between two numbers is 2 : 3. If each number is increased by 4, the ratio between them becomes 5 : 7. The difference between the numbers is
1. 2
2. 4
3. 6
4. 8
5. none of these
Explanation :-
Let, the numbers are 2x & 3x.
According to question,
(2x + 4)/(3x + 4) = 5/7
=> 14x + 28 = 15x + 20
=> x = 8
Thus, difference between the numbers = (3x-2x) = x = 8

Que. 25
Aditya got some amount of money from his father, In how many years will the ratio of the money and the interest obtained from it be 10 : 3 at 6% p.a.?
1. 7 years
2. 3 years
3. 5 years
4. 4 years
5. none of these
Explanation:-
Let, the principal = 10x & interest = 3x
R = 6% , T =?
We know,
SI = (P×R×T)/100
=> 3x =( 10x × 6 × T)/100
=> T = 5

Direction( 26 – 30): Read the following information carefully and answer the following questions.
Statement I- There are 220 students studying in college A and college B. Students from 3 cities i.e Patna, Delhi and Mumbai study in these 2 colleges.
Statement II- The ratio of the total number of students in college A and the total number of students in college B is 6 : 5. The number of students of Mumbai who studies in college B is 30% of the total number of students of college B.
Statement III- The number of students of Mumbai who studies in college B is 75% of the number of students of Patna who studies in college A.
Statement IV- The number of students from Delhi who studies in college B is 62.5% of the number of students from Patna who studies in college A. The ratio of students from Patna in college B and the number of students from Mumbai who studies in college A is 9 : 10.

Solution 26 – 30):-
Total students = 220
A : B = 6 : 5
Students in college A = 220 × 6/11 = 120
Students in college B = 220 × 5/11 = 100
Students from Mumbai in college B = 100 × 30/100 = 30
According to statement III,
30 = 3/4 × Students from Patna in college A
:. Students from Patna in college A = 40
Students from Delhi in college B = 40 × 62.5/100 = 25
Students from Patna in B clg : from Mumbai in A clg = 9 : 10
Students from Patna in college B = 100 – ( 30+25) = 45
9 unit = 45
1 unit = 5
10 unit = 50
:. Students from Mumbai in college A = 50
Students from Delhi in college A = 120 – ( 50+40) = 30

Que. 26
Find the ratio of number of students from Delhi in college A to that of college B.
1. 4: 5
2. 3 : 4
3. 6 : 5
4. 5 : 3
5. None of these
Explanation :-
Required ratio = 30 : 25 = 6 : 5

Que. 27
The number of students from Patna in college A is what % of the total number of students in college B?
1. 40%
2. 45%
3. 35%
4. 60%
5. None of these

Explanation :-
Required % = 40/100 × 100% = 40%

Que. 28
Find the difference between the total number of students from Patna to that of Delhi.
1. 35
2. 30
3. 45
4. 50
5. None of these
Explanation :-
Required difference = (40+45) – ( 30 + 25)  = 85 – 55 = 30

Que. 29
Which city has the most number of students studying in both colleges?
1. Patna
2. Delhi
3. Mumbai
4. Both Patna and Mumbai
5. Both Delhi and Mumbai
Explanation :-
Patna = 40 + 45 = 85
Mumbai = 50 + 30 = 80
Delhi = 30 + 25 = 55
So, the most number of students studying in Patna.

Que. 30
Find the total number of students studying in college A from Delhi and Mumbai.
1. 85
2. 75
3. 90
4. 80
5. None of these

Explanation :-
Required number of students = (30+50) = 80

Que. 31
A, B and C are partners. A receives 9/10 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs. 270 when the profit rises from 12 to 15%. Find the capital invested by B and C each respectively are
1. Rs. 500, Rs. 600
2. Rs. 500, Rs. 500
3. Rs. 600, Rs. 500
4. Rs. 600, Rs. 600
5. none of these

Explanation :-
Profit ratio of A,B and C = 9/10 : 1/20 : 1/20  = 18 : 1 : 1
(15 – 12)% = 270
3% = 270
:. 100% = 9000
We know, profit ratio = capital investment × time
Time is not given here it means time is same for all.
So,
18 unit = 9000
1 unit = 9000/18 = 500
Thus, Capital invested by B and C each Rs 500 and Rs 500.

Que. 32
In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is

1. 625
2. 500
3. 450
4. 650
5. None of these

Explanation :-
According to question,
190 + 35 = 36%
=> 36% = 225
=> 100% = 225/36 × 100
= 625
:. The total marks in the examination = 625

Que. 33
The population of a town is 15000. If the number of males increases by 8% and that of females by 10%, then the population would increase to 16300. Find the number of females in the town.
1. 4000
2. 3000
3. 6000
4. 5000
5. None of these

Explanation :-
Let, number of males = x
Number of female = (15000 – x)
After 8 % increase of male ,number of male = x * 108/100 = 27x/25
After 10% increase of female,number of female
= (15000 – x) * 110/100 = ( 15000 – x ) * 11/10
According to question,
27x/25 + (15000 – x )* 11/10 = 16300
=> 54x + 55 *(15000 – x) = 16300 * 50  (multiplying 50 in both sides)
=>  54x – 55x + 825000 =815000
=> x = 825000 – 815000
:. x = 10000
:. Number of females = (150000 – 10000) = 5000

Que. 34
The average weight of 12 players in a team is increased by 1/3 kg when one of the players whose weight is 55 kg is replaced by another player. What is the weight of the new player?

1. 57 kg
2. 59 kg
3. 62 kg
4. 65 kg
5. None of these
Explanation :-
Total weight increase = 12 × 1/3 = 4 kgs.
Age of new player = ( 55+4) = 59 kgs

Que. 35
While selling an article, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs. 15 less as profit. What is the marked price of the article
1. Rs. 1200
2. Rs. 1500
3. Rs. 1800
4. Rs. 2000
5. None of these