**Dear Aspirants,**

**Quantitative Aptitude Quiz For SBI Clerk**

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**Directions (1-5): study the line graph given below and answer the given questions based on it.**

**Q1. Downstream speed of boat in Ganga is what percent of downstream speed of boat in Tatpi?**

**Q2. What will be total time taken by boat to go to a distance 28 km from a point A to B and returning from B to A in Yamuna ? (River is flowing from A to B)**

**Q3. What is the average of speed of boat in still water in all the rivers together?**

**Q4. What is the ratio between downstream speed in Narmada to upstream speed in Yamuna?**

Upstream speed of boat in Yamuna = 12-2 = 10 km/hr

Required average =10/10=1∶1

**Q5. In which river swimming will be easiest compare to other against the current>**

Hence, the required river will be Yamuna

**Q6. The radius of a circular field is equal to the side of a square field. If the difference between the perimeter of the circular field and that of the square field is 32m, what is the perimeter of the square field? (in metere) **

**Q7. The outer circumference of a 1 cm thick pipe is 44 cm. How much water will 7 cm of the pipe hold?
(take π=22/7) **

**Q8. A bag has twelve strawberry out of which four are rotten. Two strawberry are selected at random. Find the probability that the strawberry are of both types. **

**Q9. Two dice are thrown. The probability that both of them show an even number greater than 4 is: **

= 1/36

**Q10. In a class, there are 15 girls and 10 boys. Three students are selected at random. The probability that only girls or only boys get selected is: **

**Directions (11-15): In the following questions, two equations in x and y are given. Solve these equations and give answer **

**Q11. I. x² + 7x + 12 = 0 **

**II. 4y ² = 36**

⇒ x = –3, –4

II. y² = 9

⇒ y = ± 3

y ≥ x

**Q12. I. 2x ² +5x + 3 = 0 **

** II. y ² + 3x + 2 = 0**

⇒ 2x² + 2x + 3x + 3 = 0

⇒ (x + 1) (2x + 3) = 0

⇒ x = -1, -3/2

II. y² + 3y + 2 = 0

⇒ (y + 1) (y + 2) = 0

⇒ y = –1, –2

No relation

**Q13. I. 2x + 3y = 5 **

** II. 3x + 2y = 10**

**Q14. I. x² + 19x + 84 = 0 **

** II. y² + 14y + 49 = 0**

⇒ (x + 7) (x+ 12) = 0

⇒ x = -7, –12

II. y² + 14y + 49 = 0

⇒ (y + 7) ² = 0

⇒ y = –7

y ≥ x

**Q15. I. 3x² + 4x + 1 = 0 **

** II. 2y² + 3y + 1= 0**

⇒ 3x² + 3x + x +1 = 0

⇒ (x + 1) (3x +1) = 0

⇒ x = -1, -1/3

II. 2y² + 3y + 1= 0

⇒ 2y² + 2y + y +1 = 0

⇒ (y + 1) (2y+ 1) = 0

⇒ y= -1,-1/2

No relation

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