# Cummins Aptitude Questions

Posted on :11-04-2016

Q1. To a sugar solution of 3 litres containing 40% sugar, one litre of water is added. The percentage of sugar in new solution is:

a) 13 1/3%
b) 15%
c) 30%
d) 33%

Q2. If x is less than 2 then which of following statements are always true?

a) x is negative
b) x is positive
c) x2 is greater than or equal to 2
d) x2 is lesser than or equal to 2

Q3. A cube is cut into smaller cubes such that each edge if cube is increased by 50%, find the % increase in surface area?

a) 200%
b) 100%
c) 125%

Q4. A sum of money is to be distributed in proportion 3:5. If one gets Rs.20 more than other then what is the sum of money?

a) 100
b) 80
c) 60

Q5. 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:

a) 2700
b) 2900
c) 3000
d) 3100

Q6. The true discount on a bill of Rs. 540 is Rs. 90. The bankers discount is:

a) Rs. 60
b) Rs. 108
c) Rs. 110
d) Rs. 112

Q7. Three unbiased coins are tossed. What is the probability of getting at most two heads?

a) 34
b) 14
c) 38
d) 78

Q8. Meaning of Avert

a) turn away
b) transform

Q9. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

a) 12
b) 34
c) 38
d) 516

Q10. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

a) 75
b) 81
c) 85
d) 89

Q11. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

a) 2.91 m
b) 3 m
c) 5.82 m
d) None of these

Q12. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:

a) 4
b) 9
c) 12
d) 49

Q13. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

a) 45 km/hr
b) 50 km/hr
c) 54 km/hr
d) 55 km/hr

Q14. A persons present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

a) 32 years
b) 36 years
c) 40 years
d) 48 years

Q15.  Insert the missing number.
8, 24, 12, 36, 18, 54, (---)

a) 27
b) 108
c) 68
d) 72

Q16. A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage.

I. The rate of X is Rs. 20 per kg.
II. The rate of Y is Rs. 13 per kg.

a) I alone sufficient while II alone not sufficient to answer
b) II alone sufficient while I alone not sufficient to answer
c) Either I or II alone sufficient to answer
d) Both I and II are not sufficient to answer
e) Both I and II are necessary to answer

Q17. Find out the wrong number in the series.
3, 7, 15, 39, 63, 127, 255, 511

a) 7
b) 15
c) 39
d) 63
e) 127

Q18. A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. Bs share is:

a) Rs. 120
b) Rs. 160
c) Rs. 240
d) Rs. 300

Q19. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

a) 2 : 5
b) 3 : 7
c) 5 : 3
d) 7 : 3

Q20. A father said to his son, I was as old as you are at the present at the time of your birth. If the fathers age is 38 years now, the sons age five years back was:

a) 14 years
b) 19 years
c) 33 years
d) 38 years

Q21. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

a) 720
b) 900
c) 1200
d) 1800

Q22. 190, 166, 145, 128, 112, 100, 91

a) 100
b) 166
c) 145
d) 128
e) 112

Q23. Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.
II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.
III. Simple interest earned per annum is Rs. 2000.

a) I only
b) II and III only
c) All I, II and III
d) Any two of the three
e) I only or II and III only

Q24. A dice was given showing dots on 3 faces. 3 figures were given. Find the number of dots opposite to face showing 4 dots.

Q25. If UPSTREAM: SOURCE then

a) uphill: peak

Q26. Two cars A and B start at the same time in opposite directions and cover 4 miles. Now each car turn left and covers 3 miles. What is their aerial distance?

Q27. If PEOPLE is written as PLPOTE then TREND is:

Q28. Pipe A can fill the cistern in 8 min and pipe B can fill the cistern in 6 min. If pipe A is opened for 1 min and pipe B is opened for 1 min then the total time to fill the cistern is:

Q29. The sum of squares of numbers in the ratio 2:3:4 is144. Find the numbers.

Q30. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?

Q31. Opposite of Protract.

Q32. Meaning of consonance.

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