Quantitative Aptitude Quiz For SBI PO/Clerk Prelims
Directions (1-5): The following table shows the total no. of students studying in five different colleges and ratio of boys and girls in that. Table also shows the percentage of students who are involved in sports also. Study table carefully to answer the following questions.
Q1. Find the total no. of students who are involved in sports also from collages P, R and T together.
Q2. Total no. of boys from collage Q is how much percent more or less than the total no. of girls from the college S?
Q3. What is the average no. of students from colleges P, Q and R together who are involved in sports also?
Q4. What is the difference between total no. of boys and total no. of girls from colleges R and S together?
Q5. If 20% and 25% students of collages P and T respectively, out of those who are involved in sports also, are sent to a state level game then find the no. of sport students form these colleges who are not sent for the state level games.
Directions: (6 –10): In the following questions two equations in x and y are given. You have to solve both the equations and give the answer
Q6. I. 4x² – 9x + 2 = 0
II. 3y² – 7y + 2 = 0
⇒ 4x²– 8x – x + 2 = 0
⇒ 4x (x – 2)– 1(x–2) = 0
⇒ (x–2) (4x – 1) = 0
⇒ x = 2,1/4
II. 3y² – 7y + 2 = 0
⇒ 3y² – 6y – y + 2 = 0
⇒ 3y (y –2) - 1(y –2) = 0
⇒ y = 2, 1/3
No relation
Q7. I. 7y² + 19y – 26 = 0
II. x² – 36x + 288 = 0
⇒ 7y² +26y – 7y – 26 = 0
⇒ y (7y + 26) - 1(7y + 26) = 0
⇒ y = 1, -26/7
II. x² – 36x + 288 = 0
⇒ x²– 12x – 24x + 288 = 0
⇒ x (x–12) –24 (x–12) = 0
⇒ (x – 12) (x –24) = 0
⇒ x = 12, 24
x > y
Q8. I. 6x² + 13x + 5 = 0
II. 2y² – 8y – 24 = 0
⇒ 6x² + 3x + 10x + 5 = 0
⇒ 3x (2x +1) +5 (2x + 1) = 0
⇒ (2x +1) (3x + 5) = 0
⇒ x = -1/2, -5/3
II. 2y² – 8y – 24 = 0
⇒ y² – 4y – 12 = 0
⇒ y² – 6y + 2y – 12 = 0
⇒ y (y–6) +2(y–6) = 0
⇒ (y – 6) (y + 2) = 0
⇒ y = 6, –2
No relation
Q9. I. 22x² – 27x + 8 = 0
II. 12y² – 48y + 36 = 0
⇒ 22x² – 11x – 16x + 8 = 0
⇒ 11x (2x–1) –8 (2x–1) = 0
⇒ (2x – 1) (11x –8) = 0
⇒ x = 1/2, 8/11
II. 12y² ¬ 48y + 36 = 0
⇒ y² – 4y + 3 = 0
⇒ y² – 3y – y + 3 = 0
⇒ y (y – 3) –1 (y – 3) = 0
⇒ y = 3, 1
y>x
Q10. I. y² + 42y + 432 = 0
II. x² + 38x + 352 = 0
⇒ y² + 18y + 24y + 432 = 0
⇒ y (y + 18) +24 (y +18) = 0
⇒ (y + 18) (y + 24) = 0
⇒ y = –18, –24
II. x² + 38x + 352 = 0
⇒ x² + 16x + 22x + 352 = 0
⇒ x (x + 16) +22 (x +16) = 0
⇒ (x + 16) (x + 22) = 0
⇒ x = –16, –22
No relation
Q11. A train passes two bridges of lengths 740 m and 270 m in 76 seconds and 38 seconds respectively. The speed of train is (up to two decimal places):
Q12. 14 men complete a work in 24 days. After working for 6 days, 7 men join them. How many more days will all of them take to complete the remaining work?
Q13. Out of the three given numbers, the first number is thrice the second and four fifth the third. If the average of the three numbers is 279, what is the difference between the first and their third number?
Q14. Out of his total income, Mr. Kapur spends 20% on house rent and 70% of the rest on house hold expenses. If he saves Rs 1,800 what is his total income (in rupees)?
Q15. There are 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?