Dear Aspirants,

### Quantitative Aptitude Quiz For SBI PO/Clerk Prelims

Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complexand convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.

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.
40,000
44,000
48,000
52,000
36,000
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?
20% less
25% more
25% less
20% more
30 % more
Q3. What is the average no. of students from colleges P, Q and R together who are involved in sports also?
20,000
24,000
30,000
26,000
18,000
Q4. What is the difference between total no. of boys and total no. of girls from colleges R and S together?
40,000
35,000
25,000
30,000
20,000
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.
18,500
16,500
14,500
20,500
15,800
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
If x > y
If x < y
If x ≥ y or relationship between x and y cannot be established
If x ≤ y
If x = y
Solution:
I. 4x²–9x + 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
If x > y
If x < y
If x ≥ y or relationship between x and y cannot be established
If x ≤ y
If x = y
Solution:
I. 7y² + 19y – 26 = 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
If x > y
If x < y
If x ≥ y or relationship between x and y cannot be established
If x ≤ y
If x = y
Solution:
I. 6x² + 13x +5 = 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
If x > y
If x < y
If x ≥ y or relationship between x and y cannot be established
If x ≤ y
If x = y
Solution:
I. 22x² – 27x + 8 = 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
If x > y
If x < y
If x ≥ y or relationship between x and y cannot be established
If x ≤ y
If x = y
Solution:
I. y² + 42y + 432 = 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):
15.46 m/s
12.36 m/s
21.24 m/s
24.36 m/s
8.36 m/s
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?
10 days
12 days
15 days
9 days
16 days
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?
86
84
76
81
72
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)?
Rs 7,800
Rs 7,000
Rs 8,000
Rs 7,500
None of these
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?
1 : 2
1 : 1
2 : 1
4 : 5
3 : 2

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