Bajaj Placement Paper- Aptitude Model Questions

1. The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
1. 16
2. 15.5
3. 15
4. Insufficient Data

2. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
1. 825
2. 610
3. 720
4. 920

3. A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?
1. 2 years
2. Data inadequate
3. 3 years
4. 5 years

4. Find out the wrong number in the given sequence of numbers 36, 54, 18, 27, 9, 18.5, 4.5
1. 18.5
2. 54
3. 18
4. 4.5

5. A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
1. Rs. 20,000
2. Rs. 10,000
3. Rs. 2000
4. Rs. 15,000

6. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top 
and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
1. 4 units
2. 12 units
3. 8 units
4. Data inadequate

7.In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other 
candidate got, was:
1. 2700
2. 3100
3. 3000
4. 2900

8. The sum of two number is 25 and their difference is 13. Find their product.
1. 104
2. 315
3. 325
4. 114

9. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
1. 5 : 7
2. 7 : 5
3. 7 : 3
4. 3 : 7

10. The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
1. 15%
2. 12%
3. 14%

11.Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio 
of increased seats?
1. 6 : 8 : 9
2. 6 : 7 : 8
3. 2 : 3 : 4
4. None of these

12. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
1. 54 paise
2. 56 paise
3. 48 paise
4. 72 paise

13. The product of 4 consecutive even numbers is always divisible by:
1. 600
2. 864
3. 768
4. 384

14. How many times in a day, are the hands of a clock in straight line but opposite in direction?
1. 20
2. 22
3. 48
4. 24

15.Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job?
1. 7 hrs
2. 9 hrs
3. 8 hrs
4. 7 1/2 hrs