Elitmus Model Paper 6(Engineering > Elitmus Sample Papers With Answers ) Questions and Answers

Question 1. There are 10 pairs of socks in a cupboard from which 4 individual socks are picked at random. The probability that there is at least one pair is:
  1.    195/323
  2.    99/323
  3.    198/323
  4.    185/323
Explanation:-
Answer: Option B. -> 99/323




Question 2. Ram started his journey at 9.00 a.m. at 8 km/hour. Hamid started from the same spot in the same direction at 9.30 a.m. at 10 km/hour. Hamid overtakes Ram at :
  1.    11.00 a.m.
  2.    12.30 p.m
  3.    12.00 noon
  4.    12.00 noon
Explanation:-
Answer: Option D. -> 12.00 noon




Question 3. A can do a piece of work in 12 days and B can do it in 10 days and A, B and C together in 5 days. C alone can do it in:
  1.    17 days
  2.    27 days
  3.    60 days
  4.    30 days
Explanation:-
Answer: Option D. -> 30 days




Question 4. If 2x + 3y = 10 and y < 4, then
  1.    x > -1
  2.    x < -1
  3.    x > 0
  4.    x < 0
Explanation:-
Answer: Option C. -> x > 0




Question 5. The angles of a quadrilateral are in the ratio of 1 : 4 : 2 : 3. The angles are respectively :
  1.    180: 720: 360: 540
  2.    720: 2280: 1440: 2160
  3.    720: 2280: 1440: 2160
  4.    None of the above
Explanation:-
Answer: Option C. -> 720: 2280: 1440: 2160




Question 6. What least number must be subtracted from each of the numbers 17, 17, 34, 42 so that the ratio of first two is the same as the ratio of the next two?
  1.    0
  2.    1
  3.    2
  4.    7
Explanation:-
Answer: Option C. -> 2




Question 7. The given diagram shows the population of a town. If the total population of the town is 7,20,000 then the number of animals in the town is :
  1.    30,000
  2.    40,000
  3.    50,000
  4.    60,000
Explanation:-
Answer: Option D. -> 60,000




Question 8. The cost price of an article is Rs. 100. To gain 50% after allowing a 50% discount, the market price of the article is :
  1.    Rs. 200
  2.    Rs. 400
  3.    Rs. 350
  4.    Rs. 300
Explanation:-
Answer: Option D. -> Rs. 300




Question 9. A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of the road is :
  1.    4 metres
  2.    5 metres
  3.    6 metres
  4.    7 metres
Explanation:-
Answer: Option D. -> 7 metres




Question 10. A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is :
  1.    20,000
  2.    24,000
  3.    30,000
  4.    34,000
Explanation:-
Answer: Option B. -> 24,000




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