Model Questions for IBPS PO PRELIM Exam : Quantitative Aptitude Set-26

1. Mr. X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by Rs. 5000 but still had the same income (Income – Investment + Profit) as that in 1995. Thus the percent profit earned in 1996 increased by 6%. What was his investment in 1995?

(1) Rs. 100000
(2) Rs. 100500
(3) Rs. 105000
(4) Data inadequate
(5) None of these

2. A man starts going for morning walk every day. The distance walked by him on the first day was 2 km. Everyday he walks half of the distance walked on the previous day. What can be the maximum total distance walked by him in his lifetime?

(1) 4 km
(2) 20 km
(3) 8 km
(4) Data inadequate
(5) None of these

3. The strength of a school increases and decreased every alternate year. If starts with increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2000 s compared to that in 1996?

(1) Increase approximately by 2%
(2) Decrease approximately by 2%
(3) Increase approximately by 20%
(4) Decrease approximately by 20%
(5) None of these

Directions: Answer these questions on the basis of the information given below.

(i) In a class of 80 students the girls and the boys are in the ratio of 3 : 5. The students can speak only Hindi or only English or both Hindi and English.
(ii) The number of boys and the number of girls who can speak only Hindi is equal and each of them is 40% of the total number of girls.
(iii) 10% of the girls can speak both the languages and 58% of the boys can speak only English.

4. How many girls can speak only English?

(1) 12
(2) 29
(3) 18
(4) 15
(5) None of these

5. In all how many boys can speak Hindi?

(1) 12
(2) 9
(3) 24
(4) Data inadequate
(5) None of these

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6. What percentage of all the students (boys and girls together) can speak both the languages?

(1) 15
(2) 12
(3) 9
(4) 29
(5) None of these

7. How many boys can speak either only Hindi or only English?

(1) 15
(2) 12
(3) 9
(4) 29
(5) None of these

8. How many boys can speak either only Hindi or only English?

(1) 25
(2) 38
(3) 41
(4) 29
(5) None of these

9. In a school the number of boys and that of the girls are in the ratio of 2 : 3. If the number of boys is increased by 20% and that of girls is increased by 10%, what will be the new ratio of the number of boys to that of girls?

(1) 4 : 5
(2) 5 : 8
(3) 3 : 4
(4) Data inadequate
(5) None of these

10. In how many different ways can be letters of the word JUDGE be arranged so that the vowels always come together?

(1) 48
(2) 24
(3) 120
(4) 60
(5) None of these