RRB PO Prelims Quantitative Aptitude Quiz – 23

RRB PO Prelims Quantitative Aptitude Quiz

Quantitative Aptitude is the most significant part of almost all competitive exams. Many candidates find difficulty in solving Quantitative Aptitude Questions. The only way to ace this section is to practice as many questions as possible. And, to help you practice more and more questions, we have come up with the RRB PO Quantitative Aptitude Quiz. This RRB PO Quantitative Aptitude Quiz is completely Free. This RRB PO Quantitative Aptitude Quiz includes a variety of questions that are usually asked in preliminary and main exams of various banking exams. Candidates will be provided with a detailed solution for each question in this RRB PO Quantitative Aptitude Quiz. This RRB PO Quantitative Aptitude Quiz will assist candidates in better preparing for upcoming exams.

Directions (1-5): Solve the given quadratic equations and mark the correct option based on your answer—
1. (i) x² – x – 132 = 0
(ii) y² – 22y + 112 = 0
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.

Answer & Explanation
Ans. e
Exp.
x² – 12x + 11x – 132 = 0
x(x – 12) + 11 (x – 12) = 0
(x + 11) (x – 12) = 0
x = –11, 12
y² – 14y – 8y + 112 = 0
y(y – 14) – 8(y – 14) = 0
(y – 8) (y – 14) = 0
y = 8, 14
No relation can be established between x & y.

 

2. (i) x² – 8x + 15 = 0
(ii) y² – 2y – 3 = 0
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.

Answer & Explanation
Ans. b
Exp.
x² – 3x – 5x + 15 = 0
(x – 3) (x – 5) = 0
x = 3, 5
y² – 3y + y – 3 = 0
y(y – 3) + 1 (y – 3) = 0
(y + 1) (y – 3) =0
y = –1, 3
x ≥ y

 

Answer & Explanation
 

 

4. (i) 2x² – x – 3 = 0
(ii) 4y² – 24y + 35 = 0
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.

Answer & Explanation
Ans. c
Exp.
2x² – x – 3 = 0
(x + 1) (2x – 3) = 0
x= -1,3/2
4y² – 24y + 35 = 0
4y² – 14y – 10y + 35 = 0
y=5/2,7/2
y > x

 

5.(i) 2x² – 7x + 6 = 0
(ii) 2y² – y– 1= 0
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.

Answer & Explanation
Ans. a
Exp.
2x² – 3x – 4x + 6 = 0
x(2x – 3) – 2 (2x – 3) = 0
(x – 2) (2x – 3) = 0
x=2,3/2
2y² – 2y + y – 1 = 0
2y(y – 1) + 1 (y – 1) = 0
(2y + 1) (y – 1) = 0
y = -1/2 , 1
x > y

 

6. Find probability of selecting a team of 7 members from a group of 6 girls and 7 boys such that team will have at least 3 girls and at most 4 boys?

Answer & Explanation

7. Nandini scored 37% marks and failed by 78 marks. If she scored 42% marks, she fails by 48 marks. Find by how much marks would she fail or pass if she scored 48% marks?
(a) 16 marks,fail
(b) 12 marks,fail
(c) 10 marks,pass
(d) 18 marks,pass
(e) 25 marks, fail

Answer & Explanation

8. The price of sugar decreases by 20% and consumption of a family increased by 30%. Find the % change in the expenditure of family?
(a) 4% increase
(b) 2.5% increase
(c) 4% decrease
(d) 2.5% decrease
(e) 5% increase

Answer & Explanation

9. 20 men and 35 women can complete a piece of work in ‘y’ and ‘y – 3’ days respective while 15 men and 20 women can complete same piece of work in ‘x – 4’ and ‘x’ days respectively. If men are 60% more efficient than women then find difference between X and Y.
(a) 11
(b) 21
(c) 14
(d) 12
(e) 15

Answer & Explanation

10. In a right angled triangle of hypotenuse 15 cm, the remaining two sides are in the ratio 3 : 4. If smaller side is equal to radius and second longer side is equal to height of right circular cylinder, find volume of cylinder?
(a) 288π
(b) 512π
(c) 972π
(d) 778π
(e) 750π

Answer & Explanation

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