Polaris Aptitude paper

Posted on :04-02-2016
Q1. 1305,4665 and 6905 are divided by a highest number N in such a way that it leaves the same remainder in all cases. What is the sum of the digits which make N?

a. 4
b. 5
c. 7
d. 9

ANS: a

Q2. I have marbles in three different colors as follows:
Blue 60; green 156; red 204.
I distribute them to children in such a way that all of them get equal number of marbles and only one piece of each color. How many children are there?

a. 12
b. 35
c. 67
d. 31

ANS: b

Q3. A square of side 6 cm has a circle inscribed in it. Calculate the ratio of surface area of the circle to square.

a. 11/14
b. 13/14
c. 12/14
d. 14/12

ANS: a

Q4. There are 3 numbers whose ratio is as follows: first: second=2:3 and second:third= 5:8. There sum is 98, what is the second number?

a. 20
b. 30
c. 40
d. 50

ANS: b

Q5. A 30% saline solution is to be converted to a 10% solution. How much pure water needs to be added to 100 kgs of 30% solution to do so?

a. 150 kgs
b. 100 kgs
c. 200 kgs
d. 250 kgs

ANS: c

Q6. In a given factory, average salary combined for the staff and supervisors is rs 60 while that for only staff is Rs. 56. The average salary of supervisors is Rs. 400. There are a total of 12 supervisors. How many labourers are employed in this factory?

a. 1020
b. 1130
c. 1500
d. 1532

ANS: a

Q7. Alok completed a journey from his home to mall in 42 minutes at an average speed of 10kmph. He walked initially at 4kmph and then took an auto which moved at 25kmph. What part of his journey did he walk?

a. 1 km
b. 2 km
c. 3 km
d. 4 km

ANS: b

Q8. Blowing wind covers 160 miles in 330 minutes. How much time is needed for 80 miles?

a. 165 minutes
b. 2 hours
c. 3 hours
d. 190 minutes

ANS: a

Q9. Ashish can do 1/4 of his work in 10 days, Vijay 40% in 40 days and Deepak 1/3 in 13 days. Who finishes first?

a. ashish
b. deepak
c. vijay
d. cant say

ANS: b

Q10. You can complete a carpet weaving in 10 days while I can do it in 15 days. We work together but I leave in 2 days. How many days will you now require to finish the work?

a. 7
b. 8
c. 19/3
d. 20/3

ANS: d

Q11. Increase in population for a given country in three consecutive years is 10,25 and 10. What is the combined increase for three years?

a. 45
b. 52
c. 51.25
d. 45.25

ANS: c

Q12. 15% salt solution is made with 4L water in a jug of capacity of %l. If 1.5 L falls and then the jug is filled to capacity, what is the new strength of the solution?

a. 9.5%
b. 7.5%
c. 10%
d. 12%

ANS: b

Q13. Sheila and Sunita start a business with investment of Rs8000 and Rs5000 resp. Sheila is an active partner and so she gets 10% of profit separately for supervision. if total profit is Rs 3240, what is the profit gained by Sunita?

a. 1445
b. 1334
c. 1500
d. 324

ANS: a

Q14. In a boarding school the expenses depend partly on number of boarders and are partly fixed. When there were 25 boarders, per head expense came out to be Rs 70 and Rs 60 when there were 50 boarders. What is the expense if there are 100 boarders?

a. 40
b. 50
c. 55
d. 65

ANS: c

Q15. On a given sum, over a period of 2 years, the SI is 1000 rs and CI is 1100 rs. If investment is made in such a way that SI is Rs 400 and the number of years is equal to the rate percent per annum, find new rate percent?

a. 2
b. 4
c. 8
d. 16

ANS: b

Q16. For a man his annual income is Rs 561. He invests 3/3 capital at 7%, 1/4 at 8% and rest at 10%. What is his total capital?

a. 5200
b. 6600
c. 4000
d. none

ANS: b

Q17. A is two times B and A multiplied by B is 2/25. What is A?

a. 1/5
b. 2/5
c. 2.5
d. none

ANS: b

Q18. Numerator is 4 less than denominator and fraction becomes 1/8 if 10 is added to denominator. What is the original fraction?

a. 2/6
b. 1/4
c. 2/9
d. none

ANS: a

Q19. A, B and C enter into a partnership by investing in a ratio 3:2:4. B invests Rs 2,70,000 after one year. C invests the same amount after two years. At the end of three years profit shared is 3:4:5. What is the initial investment of A?

a. 270000
b. 180000
c. 360000
d. none

ANS: a

Q20. How many terms are there in the GP?
3, 6, 12, 24...384?

a. 9
b. 10
c. 8
d. 7

ANS: c

Q21. In a quadrilateral, the 4 angles are in a GP. The common ratio is integer. Two angles are acute and the rest are obtuse. What is the smallest angle?

a. 12
b. 24
c. 36
d. 48

ANS: b

Q22. In how many ways one or more letters canbe selected from this combination:
AAABBCCCDEF

a. 479
b. 480
c. 958
d. 960

ANS: a

Q23. From 0 to 9, how many permutation combinations are there?

a. 84
b. 120
c. 720
d. 504

ANS: c

Q24. If we toss a coin twice, what is the chance it will give two heads or tails consecutively?

a. 1/8
b. 1/6
c. 1/4
d. 1/2

ANS: d

Q25. There are 7 options in one question. Correct answer gives one mark and wrong answer gives one mark. Random selection gives no mark. Sam identifies two options and eliminates them and then chooses randomly. How many marks can he gain?

a. 1/6
b. 1/15
c. 1.5
d. none

ANS:

Q26. What is the area of a parallelogram if the sides are 30m and 14m and diagonal is 40 m in meter sq.

a. 336
b. 140
c. 278
d. 450

ANS: a

Q27. Cone is crafted from a sphere of 9 cm radius. the cone as diameter of 18 cm and height of 9 cm. what amount of wood is wasted?

a. 20%
b. 30%
c. 55%
d. 75%

ANS: d

Q28. Find speed of stream if a boat is moving at 14 kmph upstream and 40 kmph downstream.

a. 13kmph
b. 26kmph
c. 34kmph
d. none

ANS: a

Q29. A ship starts on a long voyage, when 18 miles from the shore, a sea plane is sent off to deliver a mail. The speed of the sea plane is 10 times that of the ship. How far does it catch up with the ship?

a. 24 miles
b. 22miles
c. 20 miles
d. 25 miles

ANS: c

Q30. Which are the two consecutive even integers where sum of first two+ twice the sum of last two= 742?

a. 120,122,124,126
b. 120,122,126,128
c. 120,122,122,126
d. 120,124,122,126

ANS: a

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