CAPF (AC) 2013 (Paper-1) (Question 1-50)

Total Questions: 50

11. If 5 persons can weave 160 mats in 8 days, how many mats will 8 persons weave in 6 days?

Correct Answer: (b) 192
Solution:From, W₁/(M₁D₁) = W₂/(M₂D₂)

⇒ 160/(5 × 8) = W₂/(8 × 6)

∴ W2 = (160 × 8 × 6)/(5 × 8) = 192 Mats

12. Two cars are moving in the same direction with a speed of 45 km/hr and a distance of 10 km separates them. If a car coming from the opposite direction meets these two cars at an interval of 6 minutes, its speed would be

Correct Answer: (b) 55 km/hr
Solution:Let the speed of the car moving from opposite direction is x kr/hr.

Then, Relative speed of third car moving in opposite direction to a car moving at distance 10 km behind with speed 45 km/hr = (x + 45) km/hr.

Time to meet two cars = 6 minutes

= 6/60 = 1/10 hr .

Distance covered = 10 km.

(x + 45) × 1/10 = 10

x = 100 - 45 = 55 km/hr

13. Which one among the following figures will come next in the series given below?

Correct Answer: (b)

14. Which one among the following boxes is similar to the box formed from the given sheet of paper (X)?

Which one among the following boxes is similar to the box formed from the given sheet of paper (X)?

Correct Answer: (b)
Solution:Pairs of letters on opposite faces are

(B - F), (E - C), (A - D)

Hence, only option (b) gives correct shape of the dice.

15. In a class, 40 students passed in Mathematics, 50% of the students passed in English, 5% of the students failed in Mathematics and English, and 25% of the students passed in both the subjects. What is the ratio of the number of students who passed in English to that in Mathematics?

Correct Answer: (c) 5:7
Solution:Let total number of students in the class is x.

then, x(1 - 5/100) = 0.95x

Students passed either in math or English

i.e. n(M ∪ E)= 0.95x

n(M ∩ E)= 0.25x

n(E) = 0.5x

From n(M ∪ E)= n(M) + n(E) -n(M ∩ E)

0.95x = n(M) + 0.5x - 0.25x

∴ n(M) = 0.7x

According to the question,

n(M) = 40

0.7x = 40 ⇒ x = 400/7

(Number of students passed in English)/(Number of students passed in math)

= (0.5 × 400/7)/40 = 5/7

16. The least integer whose multiplication with 588 leads to a perfect square is :

Correct Answer: (b) 3
Solution:Factor of 588 = 2 × 2 × 3 × 7 × 7

Hence, least number to multiply = 3

17. The fifth term of the alphabet series

BCYX, EFVU, HISR, KLPO, ____ ? ____ is

Correct Answer: (a) NOML
Solution:

18. By selling an article at 270, a man loses 10%. If he would sell it at 360, his gain percent is

Correct Answer: (c) 20
Solution:Cost price of the article = S.P. × 100/(100-loss%)

= 270 × 100/(100 - 10) = 300

New selling price = 360

∴ %gain = (360 - 300)/300 × 100 = 20%

19. In a certain code, 'PLANT' is written as '$@2*©' and 'YIELD' is written as 'β64@% . How is 'DELAY' written in that code?

Correct Answer: (d) %4@2β
Solution:

20. If A is coded as 1, B as 3, C as 5 and so on, which of the following is the numerical value of the word 'FAZED' if the numerical value of 'CABLE' is 41?

Correct Answer: (c) 79
Solution:Here letter coding pattern = 2 × letter's position - 1

Code = 11 + 1 + 51 + 9 + 7 = 79