# IBPS Clerk Prelims: Quants Day 5

Hello Aspirants. Welcome to Online Quant Section in AffairsCloud.com. We are starting IBPS Clerk course 2015 and we are creating sample questions in Quantitative Aptitude section, type of which will be asked in IBPS Clerk Prelims Exam.

Stratus – IBPS Clerk Course 2015 [flipclock]

1. x2 + 6x + 8 = 0, y2 – 2y – 8 = 0 A) x < y B) x ≥ y C) x = y or relationship cannot be determined D) y ≥ x E) x > y
D) y ≥ x Explanation: x2 + 6x + 8 = 0 (x+4) (x+2) = 0 x = -4, -2 y2 – 2y – 8 = 0 (y-4)(y+2) = 0 Y = 4, -2 Put on number line as -4     -2       4 We see that when y = 4, then y is greater than both values of x And when y = -2, then y is greater than one value of x (-4) and equal to other value of x (-2) So overall we get y ≥ x
2. 2x 2 – 10x = -12, 2y 2 + y – 15 = 0 A) y ≥ x B) x = y or relationship cannot be determined C) y > x D) x > y E) x ≥ y
B) x = y or relationship cannot be determined Explanation: 2x 2 – 10x = -12 2x 2 – 10x + 12 = 0 2x 2 -6x – 4x + 12 = 0 2x(x-3) + (-4)(x-3) = 0 (2x-4) (x-3) = 0 x = 2, 3 2y 2 + y – 15 = 0 2y 2 + 6y – 5y – 15 = 0 2y(y+3)+ (-5)(y+3) = 0 (2y-5)(y+3) = 0 Y = 2.5, -3 Put on number line as -3      2       2.5         3 When we see that on the number line, x and y have alternate values, then relationship cannot be determined between them.
3. 3x 2 + 21x + 36 = 0, y 2 + 13y + 42 = 0 A) x = y or relationship cannot be determined B) y ≤ x C) x < y D) y < x E) x ≤ y
D) y < x Explanation: 3x 2 + 21x + 36 = 0 3x 2 + 12x + 9x + 36 = 0 3x(x+4) + 9(x+4) = 0 (3x+9)(x+4) = 0 x = -4, -3 y 2 + 13y + 42 = 0 (y+7)(y+6) = 0 Y = -6, -7 Put on number line as -7        -6         -4           -3 We see both values of x as greater than both values of y, so x > y
4. x 2 + 10x + 24 = 0, 3y 2 – 6y – 72 = 0 A) x ≤ y B) y < x C) y ≤ x D) x = y or relationship cannot be determined E) y > x
A) x ≤ y Explanation: x 2 + 10x + 24 = 0 (x+6) (x+4) = 0 x = -6, -4 3y 2 – 6y – 72 = 0 3y 2 – 18y + 12y -72 = 0 3y(y-6)+ 12(y-6) = 0 (3y+12) (y-6) = 0 y = -4, 6 Put on number line as -6         -4            6 We see that when y = 4, then y is greater than both values of x And when y = -4, then y is greater than one value of x (-6) and equal to other value of x (-4) So overall we get y ≥ x
5. x 2 – x – 12 = 0, y 2 + 11y + 28 = 0 A) x > y B) x ≤ y C) y > x D) y ≤ x E) x = y or relationship cannot be determined
A) x > y Explanation: x 2 – x – 12 = 0 (x-4) (x+3) = 0 x = 4, -3 y 2 + 11y + 28 = 0 (y+7)(y+4) = 0 Y = -4, -7 Put on number line as -7           -4            -3                  4 We see both values of x as greater than both values of y, so x > y
6. Rs 1200 is divided among 2 men, 3 women and 4 children such that the share of a man, a woman and a child is in the ratio of 5 : 6 : 8. What is the share of a child? A) Rs 40 B) Rs 60 C) Rs 50 D) Rs 80 E) None of these
A) Rs 40 Explanation: The ratio of share are 2*5 : 3*6 : 4*8 5 : 9 : 16 So share of 16 children = 16/(5+9+16) * 1200 = 640 So 1 child receives 640/16 = Rs 40
7. 2 men or 3 women or 5 children can do a work in 62 days. Then in how many days will 1 man, 1 woman and 1 child do the same work? A) 35 days B) 50 days C) 40 days D) 60 days E) None of these