Quantitative Aptitude Quiz For SBI PO/Clerk Prelims
Q1. A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the original mixture is?
Q2. A vessel contains 1 litre mixture of kerosine and disel and the other vessel contains 2 litre mixture of the same. The ratio of kerosine and disel in first and second vessels is 5 : 4 and 7 : 2 respectively. The mixture of second vessel is poured into first vessel. Find the ratio of kerosine to disel in the first vessel.
Q3. A chemist has 10 litre of a solution that is 10% sulphuric acid by volume. He wants to dilute the solution to 4% strength by adding water how many litre of water must be added?
Q4. Rishabh bought 25 kg of wheat at the rate of Rs. 6 per kg and 35 kg of wheat at the rate of Rs. 7 per kg. He mixed both type of wheat and sold the mixture at the rate of Rs. 6.75 per kg. What was his gain or loss in the transaction?
= 6.75 × 60 – (25 × 6 + 35 × 7)
= Rs. 10, gain
Q5. An alloy contains silver and lead in the ratio 5 : 8 and another alloy contains silver and lead in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of silver to lead in the resulting alloy is
Directions (6-10): In each of the following questions two equations are given. You have to solve the equations and
Give answer –
Q6. I. 3x² + 16x + 21 = 0
II. 6y² + 17y + 12 = 0
⇒ 3x² + 9x + 7x + 21 = 0
⇒ (x + 3) (3x + 7) = 0
⇒ x = –3, –7/3
II. 6y² + 17y + 12 = 0
⇒ 6y² + 9y + 8y + 12 = 0
⇒ 3y (2y + 3) + 4 (2y + 3) = 0
⇒ y = – 3/2, –4/3
y > x
Q7. I. 16x² + 20x + 6 = 0
II. 10y² + 38y + 24 = 0
⇒ 8x² + 10x + 3 = 0
⇒ 8x² + 4x + 6x + 3 = 0
⇒ (2x + 1) (4x + 3) = 0
⇒ x = –1/2, –3/4
II. 10y² + 38y + 24 = 0
⇒ 5y² + 19y + 12 = 0
⇒ 5y² + 15y + 4y + 12 = 0
⇒ (y + 3) (5y + 4) = 0
y = –3, –4/5
x > y
Q8. I. 8x² + 6x = 5
II. 12y² – 22y + 8 = 0
⇒ 8x² + 10x – 4x – 5 = 0
⇒ (4x + 5) (2x – 1) = 0
⇒ x = ½, –5/4
II. 12y² – 22y + 8 = 0
⇒ 6y² – 11y + 4 = 0
⇒ 6y² – 3y – 8y + 4 = 0
⇒ (2y – 1) (3y – 4) = 0
⇒ y = 1/2, 4/3
y ≥ x
Q9. I. 17x² + 48x = 9
II. 13y² = 32y – 12
⇒ 17x² + 51x – 3x – 9 = 0
⇒ (x + 3) (17x – 3) = 0
⇒ x = 3/17, – 3
II. 13y² – 32y + 12 = 0
⇒ 13y² – 26y – 6y + 12 = 0
⇒ (y – 2) (13y – 6) = 0
⇒ y = 2, 6/13
y > x
Q10. I. 8x² + 26x + 15 = 0
II. 4y² + 24y + 35 = 0
⇒ 8x² + 20x + 6x + 15 = 0
⇒ 4x (2x + 5) + 3(2x + 5) = 0
⇒ (2x + 5) (4x + 3) = 0
⇒ x = – 5/2, –3/4
II. 4y² + 24y + 35 = 0
⇒ 4y² + 10y + 14y + 35 = 0
⇒ 2y (2y + 5) + 7 (2y + 5) = 0
⇒ (2y + 5) (2y + 7) = 0
⇒ y = –5/2, –7/2
x ≥ y
Directions (11 – 15): Read the following graph carefully and answer the questions given below
Percentage distribution of total number of students who completed their graduation from different Universities A, B, C, D, E and F.
Q11. The number of males in university D is equal to number of females of which university?
Q12. What is the respective ratio between number of males in university B and number of females in university F?
Q13. The number of males in university A is what percent of total number of students in university E?
Q14. What is the total number of females in all universities together?
Q15. The number of males in university C is approximately what percent more than the number of males in university F?