# SBI PO 2018 Main Exam: Quants Test Day 17

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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**Q. (1-2) in a bag there are three types of colored balls of K, Nand M colors. The probability of selecting one K ball out of the total ball is 1/2 and the probability of selecting one M ball out of the total ball is 2/7.The number of N balls in the bag is 6.**If all the ball are numbered starting from 1, 2, 3, …………….and so on then what is the probability of selecting one ball which is numbered as a multiple of 3 or 7 out of the total balls.

CorrectAnswer :

**2. 3/7**

Explanation-

IncorrectAnswer :

**2. 3/7**

Explanation-

- Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Q. (1-2) in a bag there are three types of colored balls of K, Nand M colors. The probability of selecting one K ball out of the total ball is 1/2 and the probability of selecting one M ball out of the total ball is 2/7.The number of N balls in the bag is 6.****what are the total number of balls in the bag?**CorrectAnswer :

**5. 28**

Explanation-

Check solution of 1st questionIncorrectAnswer :

**5. 28**

Explanation-

Check solution of 1st question - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative AptitudeQ. (3-7) there are two colleges – college A and College B. Both colleges have four different departments, viz Mathematics Department, Geography Department, Physics Department and Chemistry Department. In College A there are total 1400 staff. College B has forty per cent more staff than College A, Twenty five per cent of the staff of College A are in Mathematics Department. One fifth of the total number of staff of College A are in Chemistry Department. Thirty five per cent of the staff of College A are in Geography Department, Remaining staff of College A are in Physics Department, The total number of staff in Geography Department is 686. Forty five per cent of the staff of College B are in Chemistry Department. Fifteen per cent of the total staff of College B are in Mathematics Department. The remaining staff of College B are in Physics Department.

The total number of staff in Chemistry Department of College A is approximately what per Cent of the total number of staff of College B?

CorrectAnswer :

**1. 14%**

IncorrectAnswer :

**1. 14%**

- Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative AptitudeQ. (3-7) there are two colleges – college A and College B. Both colleges have four different departments, viz Mathematics Department, Geography Department, Physics Department and Chemistry Department. In College A there are total 1400 staff. College B has forty per cent more staff than College A, Twenty five per cent of the staff of College A are in Mathematics Department. One fifth of the total number of staff of College A are in Chemistry Department. Thirty five per cent of the staff of College A are in Geography Department, Remaining staff of College A are in Physics Department, The total number of staff in Geography Department is 686. Forty five per cent of the staff of College B are in Chemistry Department. Fifteen per cent of the total staff of College B are in Mathematics Department. The remaining staff of College B are in Physics Department.

**what is the difference between the total numbers of staff in Chemistry Department of College B and the total number of staff in Physics and Chemistry Departments together of College A?**CorrectAnswer :

**3. 322**

Explanation-

Total number of staff in Chemistry

Department of college B= 882

Total number of staff in Physics and

Chemistry Departments in college A

and B together = 280 + 280 = 560

So, Difference = 882 – 560 = 322IncorrectAnswer :

**3. 322**

Explanation-

Total number of staff in Chemistry

Department of college B= 882

Total number of staff in Physics and

Chemistry Departments in college A

and B together = 280 + 280 = 560

So, Difference = 882 – 560 = 322 - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative AptitudeQ. (3-7) there are two colleges – college A and College B. Both colleges have four different departments, viz Mathematics Department, Geography Department, Physics Department and Chemistry Department. In College A there are total 1400 staff. College B has forty per cent more staff than College A, Twenty five per cent of the staff of College A are in Mathematics Department. One fifth of the total number of staff of College A are in Chemistry Department. Thirty five per cent of the staff of College A are in Geography Department, Remaining staff of College A are in Physics Department, The total number of staff in Geography Department is 686. Forty five per cent of the staff of College B are in Chemistry Department. Fifteen per cent of the total staff of College B are in Mathematics Department. The remaining staff of College B are in Physics Department.

**The total number of staff in Geography Departments of both the colleges together is what Per cent of the total number of staff in College A?**CorrectAnswer :

**3. 49%**

IncorrectAnswer :

**3. 49%**

- Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**If the monthly salary of a staff member in Mathematics Department is 9500, what will be the total amount paid by college B to the entire staff in Mathematics Department?**CorrectAnswer :

**5. 27.93 lakh**

Explanation-

Total amount paid by college B to the

staff of Mathematics Department

= 294 × 9500 = 2793000 = 27.93 lakhIncorrectAnswer :

**5. 27.93 lakh**

Explanation-

Total amount paid by college B to the

staff of Mathematics Department

= 294 × 9500 = 2793000 = 27.93 lakh - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative AptitudeWhat is the ratio of the number of staff in Geography Department of College B to the total number of staff in Mathematics Department of College A?

CorrectAnswer :

**2. 14:25**

**Explanation-**

Reqd ratio = 196/350 =14/25 = 14:25IncorrectAnswer :

**2. 14:25**

**Explanation-**

Reqd ratio = 196/350 =14/25 = 14:25 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**There are 3 people – A, B and C. Probability that A speaks truth is 3/10, probability that B speaks truth is 3/7 and probability that C speaks truth is 5/6. For a particular question asked, at most 2 people speak truth. All people answer to a particular question asked.**What is the probability that B will speak truth for a particular question asked?

CorrectAnswer :

**1. 9/28**IncorrectAnswer :

**1. 9/28** - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**There are 3 people – A, B and C. Probability that A speaks truth is 3/10, probability that B speaks truth is 3/7 and probability that C speaks truth is 5/6. For a particular question asked, at most 2 people speak truth. All people answer to a particular question asked.**A speaks truth only when B does not speak truth, then what is the probability that C does not speak truth on a question?

CorrectAnswer:

**4. 11/140**

Explanation-

Case 1: B does not speak truth, A speaks truth so A speaks truth here

Probability that C does not speak truth = 3/10 * (1 – 3/7) * (1- 5/6) = 1/35

Case 2: B speaks truth so A does not speak truth here

Probability that C does not speak truth = (1- 3/10) * 3/7 * (1- 5/6) = 1/20 so total = 1/35 + 1/20 = 11/140IncorrectAnswer:

**4. 11/140**

Explanation-

Case 1: B does not speak truth, A speaks truth so A speaks truth here

Probability that C does not speak truth = 3/10 * (1 – 3/7) * (1- 5/6) = 1/35

Case 2: B speaks truth so A does not speak truth here

Probability that C does not speak truth = (1- 3/10) * 3/7 * (1- 5/6) = 1/20 so total = 1/35 + 1/20 = 11/140 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**M alone would take 8 h more to complete the job than if both M and N worked together. If N worked alone, he took 4 ½ hour more to complete the job than if M and N worked together. Than if M and N worked together. What time would they take if both M and N worked together?**CorrectAnswer :

**4. 6 days**

IncorrectAnswer :

**4. 6 days**

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