SBI Clerk Quant Previous Year 2018 Questions (With Video Explanations PDF)

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SBI Quant Previous Year Questions
SBI Quant Previous Year Questions

SBI Clerk Quant Previous year 2018 asked Questions With Video Explanations PDF

For Previous year Quant questions of SBI clerk 2018 prelims exam download PDF. Go through the video of Quant questions explanations.

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Instructions

What should come in place of the question mark (?) in the following number series?

Question 1: 17, 19, 23, 29, 37, ?

a) 46

b) 49

c) 47

d) 48

e) 45

Question 2: 900, 899, 891, 864, 800, ?

a) 695

b) 685

c) 665

d) 675

e) 655

Question 3: 4, 32, 224, 1344, 6720, ?

a) 26885

b) 26880

c) 26882

d) 26888

e) 26883

Question 4: 56, 54, 58, 50, 66, ?

a) 34

b) 98

c) 38

d) 94

e) 44

Question 5: 655, 637, 622, 610, 601, ?

a) 598

b) 593

c) 595

d) 597

e) 594

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Instructions

approximate value will sonar place of the question mark (1 in ilk. following questions ? (you are not required to calculate the exact value.).

Question 6: 10303.88 $\div$ 55.94 + 62.95 = ?

a) 247

b) 250

c) 260

d) 220

e) None of these

Question 7: $\sqrt{\frac{12321}{36.07}} = ?$

a) 20

b) 18.5

c) 17

d) 17.5

e) None of these

Question 8: 19.03 $\times$ 16.98 $\times$ 13.01 = ?

a) 4000

b) 4100

c) 4200

d) 4250

e) None of these

Question 9: 117% of 459.88 – 162% of 143.02 = ?

a) 290

b) 280

c) 300

d) 306

e) None of these

Question 10: 3/5 $\times$ 4/9 $\times$ 5894.92=?

a) 1527

b) 1572

c) 1752

d) 1725

e) None of these

Instructions

In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. Give answer :
a:If x < y
b: If x > y
c: If x ≤ y
d: If x ≥ y
e: If relationship between x and y cannot be determined ,

Question 11: I. $15x^{2} + 26x + 8 = 0$
II. $25y^{2} + 15y + 2 = 0$

a) If x < y

b) If x > y

c) If x ≤ y

d) If x ≥ y

e) If relationship between x and y cannot be determined

Question 12: I. $6x^{2} – 19x + 15 = 0$
II. $5y^{2} – 22y + 24 = 0$

a) If x < y

b) If x > y

c) If x ≤ y

d) If x ≥ y

e) If relationship between x and y cannot be determined

Question 13: I. $4x^{2} – 12x + 5 = 0$
II. $4y^{2} – 8y + 3 = 0$

a) If x < y

b) If x > y

c) If x ≤ y

d) If x ≥ y

e) If relationship between x and y cannot be determined

Question 14: I. $10x^{2} + 21x + 8 = 0$
II. $5y^{2} + 19y + 18 = 0$

a) If x < y

b) If x > y

c) If x ≤ y

d) If x ≥ y

e) If relationship between x and y cannot be determined

Question 15: I. $6x^{2} – 5x + 1 = 0$
II. $12y^{2} – 23y + 10 = 0$

a) If x < y

b) If x > y

c) If x ≤ y

d) If x ≥ y

e) If relationship between x and y cannot be determined

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Instructions

In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.

a: If quantity I ≥ quantity II
b: If quantity I > quantity II
c: If quantity I < quantity II
d: If quantity I = quantity II or the relationship cannot be established from the information that is given
e: If quantity quantity II

Question 16: Arun and Bhadra are brothers. In how many years from now will Bhadra’s age be 50 years ? •
I. The ratio of the current ages of Arun and Bhadra is 5 : 7 respectively.
II. Bhadra was born 10 years before Arun.
III. 5 years hence, Arun’s age would be three-fourth of Bhadra’s age at that time.

a) Any two of the three

b) Only II and either I or III

c) All I, II and III

d) Only II and III

e) Only I and III

Question 17: A right-angled triangle is inscribed in a given circle. What is the area of the given circle (in cm2) ?
I. The base and height of the triangle (in cm) are both the roots of the equation $x^{2}-23x+120=0$
II. The sum of the base and height of the triangle is 23 cm.
III. The height of the right-angled triangle is greater than the base of the same.

a) III and either omly I or only II

b) ALL I,II and III

c) Only II and III

d) Only I

e) Either I or II

Answers & Solutions:

1) Answer (C)

Let the missing number be x

Here the pattern is

19-17 = 2

23-19 = 4

29-23 = 6

37-29 = 8

As we can see that the difference is geeting increased by 2 every time so ,

x-37 =10,it implies x= 47

2) Answer (D)

Let the missing number be x

900-899 = (1)^2

899-891 = 8 = (2)^3

891-864 = 27 = (3)^3

864-800 = 64 = (4)^3

as we can see the pattern between differences of consecutive numbers is of type (n)^3

so x-800 = (5)^3,this implies that x= 675

3) Answer (B)

Let the missing number be x

32÷4 = 8

224÷32 = 7

1344÷224 = 6

6720÷1344 = 5

As we can see that the division of consecutive numbers is forming a pattern of decreasing numbers by 1, so

x÷6720 = 4, it implies x is 26880

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4) Answer (A)

Let the missing number be x

Here , a pattern is getting formed between consecutive numbers.

5456 =$(-2)^1$

5854= $(-2)^2$

5058= $(-2)^3$

6650= $(-2)^4$

As we can see that the difference is of the form $(-2)^{n}$

so for missing number x,

x−66= $(-2)^{5}$

This implies that x is 34

 

5) Answer (C)

Let the missing number be x.

The difference between every two consecutive numbers is forming a pattern.

655-637 = 18

637-622 = 15

622-610 = 12

610-601 = 9

As the difference is getting reduced by 3 every time . So 601-x = 6 which implies that the missing number ,x =595

 

6) Answer (A)

10303.88$\div$55.94 + 62.95.
~10304$\div$56+63.
=184+63.
=247.
Hence, Option A is correct.

7) Answer (B)

$\sqrt{\frac{12321}{36.07}}$.
~$\sqrt{\frac{12321}{36}}$.
We know that,
$111^{2}=12321, 6^{2}=36$.
~$\sqrt{\frac{12321}{36}}=\frac{111}{6}$.
=$18.5$.
Hence, Option B is correct.

8) Answer (C)

19.03 $\times$ 16.98 $\times$ 13.01.
~19 $\times$ 17 $\times$ 13.
=4199.
~4200.
Hence, Option C is correct.

9) Answer (D)

117% of 459.88 – 162% of 143.02.
~117% of 460-162% of 143.
=$\frac{117\times460}{100}-\frac{162\times143}{100}$.
=$\frac{53820}{100}-\frac{23166}{100}$.
=$538.20-231.66$.
~$306$.
Hence, Option D is correct.

10) Answer (B)

3/5 $\times$ 4/9 $\times$ 5894.92.
~3/5 $\times$ 4/9 $\times$ 5895.
=$3\times4\times131$.
=$1572$.
Hence, Option B is correct.

11) Answer (C)

I. $15x^{2} + 26x + 8 = 0$

=> $15x^2 + 6x + 20x + 8 = 0$

=> $(3x + 4) (5x + 2) = 0$

=> $x = \frac{-4}{3} , \frac{-2}{5}$

II. $25y^{2} + 15y + 2 = 0$

=> $25y^2 + 5y + 10y + 2 = 0$

=> $(5y + 2) (5y + 1) = 0$

=> $y = \frac{-2}{5} , \frac{-1}{5}$

$\therefore x \leq y$

12) Answer (A)

I. $6x^{2} – 19x + 15 = 0$

=> $6x^2 – 9x – 10x + 15 = 0$

=> $(3x – 5) (2x – 3) = 0$

=> $x = \frac{5}{3} , \frac{3}{2}$

II. $5y^{2} – 22y + 24 = 0$

=> $5y^2 – 10y – 12y + 24 = 0$

=> $(5y – 12) (y + 2) = 0$

=> $y = \frac{12}{5} , 2$

$\therefore y > x$

13) Answer (E)

I. $4x^{2} – 12x + 5 = 0$

=> $4x^2 – 2x – 10x + 5 = 0$

=> $(2x – 5) (2x – 1) = 0$

=> $x = \frac{5}{2} , \frac{1}{2}$

II. $4y^{2} – 8y + 3 = 0$

=> $4y^2 – 2y – 6y + 3 = 0$

=> $(2y – 3) (2y – 1) = 0$

=> $y = \frac{3}{2} , \frac{1}{2}$

$\therefore$ No relation can be established.

14) Answer (B)

I. $10x^{2} + 21x + 8 = 0$

=> $10x^2 + 5x + 16x + 8 = 0$

=> $(5x + 8) (2x + 1) = 0$

=> $x = \frac{-8}{5} , \frac{-1}{2}$

II. $5y^{2} + 19y + 18 = 0$

=> $5y^2 + 10y + 9y + 18 = 0$

=> $(5y + 9) (y + 2) = 0$

=> $y = \frac{-9}{5} , -2$

$\therefore x > y$

15) Answer (A)

I. $6x^{2} – 5x + 1 = 0$

=> $6x^2 – 2x – 3x + 1 = 0$

=> $2x (3x – 1) – 1(3x – 1) = 0$

=> $(2x – 1) (3x – 1) = 0$

=> $x = \frac{1}{2} , \frac{1}{3}$

II. $12y^{2} – 23y + 10 = 0$

=> $12y^2 – 8y – 15y + 10 = 0$

=> $4y (3y – 2) – 3 (3y – 2) = 0$

=> $(4y – 3) (3y – 2) = 0$

=> $y = \frac{3}{4} , \frac{2}{3}$

$\therefore y > x$

16) Answer (A)

I & II : Let Arun’s age = $x$ years

=> Bhadra’s age = $x + 10$ years

$\therefore \frac{x}{x + 10} = \frac{5}{7}$

=> $7x = 5x + 50$

=> $7x – 5x = 2x = 50$

=> $x = \frac{50}{2} = 25$

=> Bhadra’s age = $25 + 10 = 35$ years

Thus, I & II are sufficient.


II & III : Let Arun’s age = $x$ years

=> Bhadra’s age = $x + 10$ years

$\therefore \frac{x + 5}{x + 15} = \frac{3}{4}$

=> $4x + 20 = 3x + 45$

=> $4x – 3x = 45 – 20$

=> $x = 25$

=> Bhadra’s age = $25 + 10 = 35$ years

Thus, II & III are sufficient.


I & III :  Let Arun’s age = $5x$ years

=> Bhadra’s age = $7x$ years

$\therefore \frac{5x + 5}{7x + 5} = \frac{3}{4}$

=> $20x + 20 = 21x + 15$

=> $21x – 20x = 20 – 15$

=> $x = 5$

=> Bhadra’s age = $7 \times 5 = 35$ years

Thus, I & III are sufficient.

$\therefore$ Any two of the three statements are sufficient.

17) Answer (D)

I : $x^2 – 23x + 120 = 0$

=> $x^2 – 8x – 15x + 120 = 0$

=> $x (x – 8) – 15 (x – 8) = 0$

=> $(x – 8) (x – 15) = 0$

=> $x = 8 , 15$

Thus, base = 8 cm and height = 15 cm (or vice versa)

=> Hypotenuse of right angled triangle = $\sqrt{(8)^2 + (15)^2}$

= $\sqrt{64 + 225} = \sqrt{289} = 17 cm$

Since, triangle is inscribed in circle, => Radius of circle = half of hypotenuse

=> $r = \frac{17}{2} = 8.5$ cm

$\therefore$ Area of circle = $\pi r^2$

= $\frac{22}{7} \times 8.5 \times 8.5 \approx 227 cm^2$

Thus, I alone is sufficient.

Clearly, we cannot find base and height from statements II or III. Thus, they are insufficient.

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