# Quantitative Aptitude Quiz For SBI PO Prelims: 22nd January 2019

**Dear Students,**

If talked about banking exams, Quant Section is considered to be one of the most difficult sections and so, gives heebie-jeebies to many. The questions asked in this section are calculative and very time-consuming and if you do not practice it well, it can make your blood run cold during the exam. Adda247 is here with practice questions on all the topics that are likely to be asked in the exam.

**Q1. A box contains 4 Green, ‘x’ red and 2 blue balls. Find the probability of selecting two balls such that color of both balls will be same if it is given that probability of selecting one red ball from the box is 1/3.**

1/3

2/3

4/9

13/18

5/18

**Q2. Ratio of A, B and C’s salary is 6 : 8 : 9 while ratio of A, B and C’s saving is 4 : 4 : 3. If A’s expenditure is 20% of his salary then find C’s expenditure is what percent of his salary?**

60%

50%

40%

30%

20%

**Q3. Rahul invested money in scheme ‘A’ and scheme ‘B’ in the ratio 2 : 3. If scheme ‘A’ offer 10% p.a. at SI and scheme ‘B’ offer 10% at CI, then find the interest earned from Scheme ‘B’ is what percent more than interest earned from scheme ‘A’ after 2 years?**

50%

52.5%

55%

57.5%

60%

**Q4. Sum of length of two train (A and B)is 540 m and ratio of speed of these two trains A and B is 1 : 2. If train A covers 90 m in 5 sec, then in what time they will cross each other when they travel in opposite direction.**

11 seconds

8 seconds

12 seconds

10 seconds

15 seconds

**Q5. A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 km/h then speed of the stream is:**

4 km/h

3 km/h

2.5 km/h

2 km/h

3.5 km/h

**Directions (6-10): In each of these questions, two equations (I) and (II) are given. Solve both the equations and mark the correct option:**

**Q6. I. 15x² + 11x + 2 = 0**

**II. 24y² + 11y + 1 = 0**

if x>y

if x≥y

if x<y

if x≤y

if x = y or no relation can be established between x and y.

Solution:

I. 15x² + 5x + 6x + 2 = 0

5x (3x + 1) + 2 (3x + 1) = 0

(5x + 2) (3x + 1) = 0

x = -2/5, -1/3

II. 24y² + 8y + 3y + 1 = 0

8y (3y +1) + 1 (3y + 1) = 0

(8y + 1) (3y + 1) = 0

y = -1/3, -1/8

⇒ x ≤ y

5x (3x + 1) + 2 (3x + 1) = 0

(5x + 2) (3x + 1) = 0

x = -2/5, -1/3

II. 24y² + 8y + 3y + 1 = 0

8y (3y +1) + 1 (3y + 1) = 0

(8y + 1) (3y + 1) = 0

y = -1/3, -1/8

⇒ x ≤ y

**Q7. I. x² – 30x + 221 = 0**

**II. y² – 17y + 60 = 0**

if x>y

if x≥y

if x<y

if x≤y

if x = y or no relation can be established between x and y.

Solution:

I. x² – 13x – 17x + 221 = 0

x (x – 13) – 17 (x – 13) = 0

(x – 17) (x – 13) = 0

x = 13, 17

II. y² – 12y – 5y + 60 = 0

y (y – 12) – 5 (y – 12) = 0

(y – 5) (y – 12) = 0

y = 5, 12

⇒ x > y

x (x – 13) – 17 (x – 13) = 0

(x – 17) (x – 13) = 0

x = 13, 17

II. y² – 12y – 5y + 60 = 0

y (y – 12) – 5 (y – 12) = 0

(y – 5) (y – 12) = 0

y = 5, 12

⇒ x > y

**Q8. I. x² + 6x + 8 = 0**

**II. 8y² + 22y + 15 = 0**

if x>y

if x≥y

if x<y

if x ≤y

if x = y or no relation can be established between x and y.

Solution:

I. x² + 6x + 8 = 0

x² + 2x + 4x + 8 = 0

x (x + 2) + 4 (x + 2) = 0

(x + 4) (x + 2) = 0

x = –2, –4

II. 8y² + 22y + 15 = 0

8y² + 10y + 12y + 15 = 0

2y (4y + 5) +3(4y + 5) = 0

(2y + 3) (4y + 5) = 0

y=(-3)/2,-5/4

⇒ x < y

x² + 2x + 4x + 8 = 0

x (x + 2) + 4 (x + 2) = 0

(x + 4) (x + 2) = 0

x = –2, –4

II. 8y² + 22y + 15 = 0

8y² + 10y + 12y + 15 = 0

2y (4y + 5) +3(4y + 5) = 0

(2y + 3) (4y + 5) = 0

y=(-3)/2,-5/4

⇒ x < y

**Q9. I. x² – 20x + 96 = 0**

**II. y² – 15y + 56 = 0**

if x>y

if x≥y

if x<y

if x ≤y

if x = y or no relation can be established between x and y.

Solution:

I. x² – 20x + 96 = 0

x² – 8x – 12x + 96 = 0

x (x – 8) – 12 (x – 8) = 0

(x – 12) (x – 8) = 0

x = 12, 8

II. y² – 15y + 56 = 0

y² – 7y – 8y + 56 = 0

(y – 7) (y – 8) = 0

y = 7, 8

⇒ x ≥ y

x² – 8x – 12x + 96 = 0

x (x – 8) – 12 (x – 8) = 0

(x – 12) (x – 8) = 0

x = 12, 8

II. y² – 15y + 56 = 0

y² – 7y – 8y + 56 = 0

(y – 7) (y – 8) = 0

y = 7, 8

⇒ x ≥ y

**Q10. I. x² + 2x – 35 = 0**

**II. y² + 3y – 10 = 0**

if x>y

if x≥y

if x<y

if x ≤y

if x = y or no relation can be established between x and y.

Solution:

I. x² + 2x – 35 = 0

x² + 7x – 5x – 35 = 0

x (x + 7) – 5 (x + 7) = 0

(x – 5) (x + 7) = 0

x = 5, –7

II. y² + 3y – 10 = 0

y² + 5y – 2y– 10 = 0

(y + 5) (y – 2) = 0

y= –5, 2

⇒ no relation can be established between x and y

x² + 7x – 5x – 35 = 0

x (x + 7) – 5 (x + 7) = 0

(x – 5) (x + 7) = 0

x = 5, –7

II. y² + 3y – 10 = 0

y² + 5y – 2y– 10 = 0

(y + 5) (y – 2) = 0

y= –5, 2

⇒ no relation can be established between x and y

**Directions (11-15): What comes at the place of question mark in the following number series?**

**Q11. 27, 1358, 1277, 1620, ? , 1622**

1546

1536

1596

1598

1595

Solution:

pattern is

27+11³=1358

1358-9²=1277

1277+7³=1620

1620-5²=1595

1595+3³=1622

So, ?=1620 – 5² = 1595

27+11³=1358

1358-9²=1277

1277+7³=1620

1620-5²=1595

1595+3³=1622

So, ?=1620 – 5² = 1595

**Q12. 48, 72, 180, 810, ?, 69862.5**

6078

6075

6077

6080

6085

Solution:

Pattern is –

48×1.5=72

72×2.5=180

180×4.5=810

810×7.5=6075

So,?= 810 × 7.5 = 6075

48×1.5=72

72×2.5=180

180×4.5=810

810×7.5=6075

So,?= 810 × 7.5 = 6075

**Q13. 8, 288, 512, 680, 792, ?**

848

840

876

890

896

**Q14. 57, 65, 74, 138, ?, 379**

169

164

156

163

166

**Q15. 16 ?, 32, 128, 64, 256**

56

64

68

72

78

## No comments