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.
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?
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?
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.
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:
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
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
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
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
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
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
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
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, ?
Q14. 57, 65, 74, 138, ?, 379
Q15. 16 ?, 32, 128, 64, 256
Quantitative Aptitude Quiz For IBPS SO P...
Quantitative Aptitude Quiz for IBPS Cler...
