Quant Quiz for SBI PO, IBPS Exams

Directions (1-6): Refer to the pie-charts and answer the given questions:




Total number of Academic Books published by all the companies together=19200



Total number of Non-Academic books published by all the companies together=25600

Q1. The number of Academic books published by Company E is what percent less than the number of Non-Academic books published by the same company?
(a) 40 (5/6)%
(b) 45(5/11)%
(c) 41(1/6)%
(d) 43(2/11)%
(e) 25%

Q2. The number of non-Academic books published by company C is what percent of the total number of Non-Academic books published by company B and D?
(a) 36%
(b) 40%
(c) 38 %
(d) 48%
(e) 32%

Q3. What is the respective ratio between the number of Academic books published by Company A and the number of Non-Academic books published by company D?

(a) 5 : 7
(b) 9 : 16
(c) 7 : 9
(d) 4 : 5
(e) 3 : 5

Q4. What is the difference between the number of Academic books and Non-Academic books published by company F?
(a) 580
(b) 640
(c) 512
(d) 644
(e) 768

Q5. The number of Non-Academic books published by company A is approximately what percent more than the number of Academic books published by the company E?
(a) 26%
(b) 22%
(c) 10%
(d) 18%
(e) 32%

Q6. How many Non-Academic books are published by company D?
(a) 3722
(b) 3658
(c) 3264
(d) 3584
(e) 4096

Directions (7–10): In each of these questions, two equations numbered I and II with variables x and y are given. You should solve both the equations to find the value of x and y. Give answer
(a) if x > y
(b) if x >= y
(c) if x < y
(d) if x <= y
(e) if x = y or relationship between x and y cannot be determined.

Q7.
I. x^2 + 8x + 15 = 0
II. y^2 – 12y + 32 = 0

Q8.
I. 4x^2 + 20y + 25 = 0
II. 4y^2 + 12y + 9 = 0

Q9.
I. 42x^2 + 89x + 45 = 0
II. 32y^2 + 4y – 21 = 0

Q10.
I. 12x^2 – 13x + 3 = 0
II. 8y^2 + 22y – 21 = 0



Answers


S2. Ans.(a)
Sol. Required % = 10/(12+16)×100=1000/28=35.71% ≈36%

S3. Ans.(b)
Sol. Ratio = 19200×12∶25600×16
= 9 : 16

S4. Ans.(e)
Sol. Required Difference = (25600 × 18%) - (19200 × 20%) = 4608 - 3840 = 768




S5. Ans.(b)
Sol. Required % = (25600×21-19200×23)/(19200×23)×100=
(5376-4416)/4416×100=21.73 ≈22%

S6. Ans.(e)
Sol. Required Answer = 25600 × 16/100 = 4096

S7. Ans.(c)
Sol. x = -3, -5
y = 4, 8
So, x<y

S8. Ans.(c)
Sol. x = -5/2
Y = -3/2
So, x<y

S9. Ans.(e)
Sol. x = -5/6, -9/7
Y = -7/8, 3/4
relationship between x and y cannot be determined.

S10. Ans.(e)
Sol. x = 1/3, ¾
Y = -7/2, ¾
relationship between x and y cannot be determined.

Directions (1-6): Refer to the pie-charts and answer the given questions:




Total number of Academic Books published by all the companies together=19200



Total number of Non-Academic books published by all the companies together=25600

Q1. The number of Academic books published by Company E is what percent less than the number of Non-Academic books published by the same company?
(a) 40 (5/6)%
(b) 45(5/11)%
(c) 41(1/6)%
(d) 43(2/11)%
(e) 25%

Q2. The number of non-Academic books published by company C is what percent of the total number of Non-Academic books published by company B and D?
(a) 36%
(b) 40%
(c) 38 %
(d) 48%
(e) 32%

Q3. What is the respective ratio between the number of Academic books published by Company A and the number of Non-Academic books published by company D?

(a) 5 : 7
(b) 9 : 16
(c) 7 : 9
(d) 4 : 5
(e) 3 : 5

Q4. What is the difference between the number of Academic books and Non-Academic books published by company F?
(a) 580
(b) 640
(c) 512
(d) 644
(e) 768

Q5. The number of Non-Academic books published by company A is approximately what percent more than the number of Academic books published by the company E?
(a) 26%
(b) 22%
(c) 10%
(d) 18%
(e) 32%

Q6. How many Non-Academic books are published by company D?
(a) 3722
(b) 3658
(c) 3264
(d) 3584
(e) 4096

Directions (7–10): In each of these questions, two equations numbered I and II with variables x and y are given. You should solve both the equations to find the value of x and y. Give answer
(a) if x > y
(b) if x >= y
(c) if x < y
(d) if x <= y
(e) if x = y or relationship between x and y cannot be determined.

Q7.
I. x^2 + 8x + 15 = 0
II. y^2 – 12y + 32 = 0

Q8.
I. 4x^2 + 20y + 25 = 0
II. 4y^2 + 12y + 9 = 0

Q9.
I. 42x^2 + 89x + 45 = 0
II. 32y^2 + 4y – 21 = 0

Q10.
I. 12x^2 – 13x + 3 = 0
II. 8y^2 + 22y – 21 = 0



Answers


S2. Ans.(a)
Sol. Required % = 10/(12+16)×100=1000/28=35.71% ≈36%

S3. Ans.(b)
Sol. Ratio = 19200×12∶25600×16
= 9 : 16

S4. Ans.(e)
Sol. Required Difference = (25600 × 18%) - (19200 × 20%) = 4608 - 3840 = 768




S5. Ans.(b)
Sol. Required % = (25600×21-19200×23)/(19200×23)×100=
(5376-4416)/4416×100=21.73 ≈22%

S6. Ans.(e)
Sol. Required Answer = 25600 × 16/100 = 4096

S7. Ans.(c)
Sol. x = -3, -5
y = 4, 8
So, x<y

S8. Ans.(c)
Sol. x = -5/2
Y = -3/2
So, x<y

S9. Ans.(e)
Sol. x = -5/6, -9/7
Y = -7/8, 3/4
relationship between x and y cannot be determined.

S10. Ans.(e)
Sol. x = 1/3, ¾
Y = -7/2, ¾
relationship between x and y cannot be determined.