# 4. Ccet Hackthon

20 Questions  Settings  Answer these questions

Questions and Answers
• 1.
Earth travels around Sun @ approximately 18.5 miles/second. This speed is how many miles per hour?
• A.

66,600

• B.

1,080

• C.

64,800

• D.

1,160

• 2.
If S were twice as old as he is, he would be 40 years older than J. J is 10 years younger than S. How old is S?
• A.

30 yrs

• B.

20 yrs

• C.

40 yrs

• D.

50 yrs

• 3.
(v3 + 2)(v3 - 2) =
• A.

V6 - 4

• B.

V3 - 4

• C.

-1

• D.

1

• 4.
A produces 120 bolts/40 seconds; B produces 100/20 seconds. If the two run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?
• A.

22

• B.

25

• C.

28

• D.

32

• 5.
A sum of money was to be divided amongst A and B in the ratio of 2:3. If the money is divided in the ratio of 3: 2, A will benefit by Rs. 75. The total money is
• A.

325

• B.

375

• C.

250

• D.

225

• 6.
If one man or two women or three boys can do a piece of work in 22 days, then the same piece of work will be done by 1 man, 1 boy and 1 woman in:
• A.

8 days

• B.

6 days

• C.

12 days

• D.

11 days

• 7.
A person sells a book for Rs. 11. He gains as many percent as its cost price in rupees. What is the cost price?
• A.

10

• B.

12

• C.

7.50

• D.

5.50

• 8.
The average age of a father and his only son is 25% more than the average age of that boy and his mother. When that boy was born, his mother was 30 years old and his father was 40 years old. Find the present age of father.
• A.

55

• B.

48

• C.

65

• D.

45

• 9.
A vessel is filled to its capacity with pure milk. Ten litres are withdrawn from it and replaced by water. This procedure is repeated again. The vessel now has 32 litres of milk. Find the capacity of the vessel (in litres).
• A.

40

• B.

50

• C.

45

• D.

55

• 10.
If n = 1 + x, where x is the product of 4 consecutive positive integers, then which of the following is/are true? 1. n is odd; 2. n is prime 3. n is a perfect square
• A.

1 and 3 only

• B.

1 and 2 only

• C.

1 only

• D.

None of these

• 11.
After the division of a number successively by 3,4,7 , the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
• A.

80

• B.

76

• C.

41

• D.

53

• 12.
A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?
• A.

175 days

• B.

100 days

• C.

90 days

• D.

None of these

• 13.
6 men and 8 women can do as much work in a given time as 3 men and 13 women. The capacities of a man and a woman are in the ratio
• A.

3:8

• B.

3:5

• C.

5:3

• D.

5:8

• 14.
The gross income of a person is Rs. 25,000. 20% of his income is exempted from income-tax and the rate of income tax is 5%. His net income is.
• A.

23500

• B.

24000

• C.

24500

• D.

None of these

• 15.
A is twice as good a workman as B and takes 18 days less to do a piece of work than B takes. A and B together can finish the work in
• A.

15 Days

• B.

12 Days

• C.

18 Days

• D.

12 and 1/2 Days

• 16.
Sum of a number and its square is 182. What is the number?
• A.

14

• B.

13

• C.

26

• D.

28

• 17.
The ratio between S.P and C.P. is 7:5. What is the ratio between profit and C.P.
• A.

2:7

• B.

5:2

• C.

2:5

• D.

None of these

• 18.
C.P of 12 pens = S.P. of 8 pens. Calculate the gain percentage.
• A.

25%

• B.

33%

• C.

37%

• D.

50%

• 19.
If x + 2y = 10 and x/y =3 then x =
• A.

-2

• B.

2

• C.

4

• D.

6

• 20.
If 1+ 1/x = 2 - 2/x then x =
• A.

-1

• B.

1/3

• C.

2/3

• D.

3

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