Elitmus Aptitude Test Paper(Engineering > Elitmus Sample Papers With Answers ) Questions and Answers
Question 1. A man can hit the target once in four shots. If he fires four shots in succession, what is the probability that he will hit the target?
1
1/256
81/256
175/256
Explanation:-
Answer: Option D. -> 175/256
Question 2. In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?
56
73
80
100
Explanation:-
Answer: Option A. -> 56
Question 3. If N = 82^3 - 62^3 - 203 then N is divisible by:
31 and 41
13 and 67
17 and 7
none
Explanation:-
Answer: Option A. -> 31 and 41
Question 4. The area bounded by curve y = 4x “ x2 and x “ axis is
30 / 7 sq. units
31 / 7sq. units
32 / 3 sq. units
34 / 3 sq. units
Explanation:-
Answer: Option C. -> 32 / 3 sq. units
Question 5. A hexagon of side a cm is folded along its edges to obtain another hexagon What is the % decrease in the area aof orignal hexagon ?
70%
75%
80%
60%
Explanation:-
Answer: Option B. -> 75%
Question 6. Centre of circle whose normals are x2 - 2xy - 3x + 6y = 0 is
(3 , 3 / 2)
(3 / 2 , 3)
(-3 , 3 / 2)
(-3 , -3 / 2)
Explanation:-
Answer: Option A. -> (3 , 3 / 2)
Question 7. The angle between the tangents drawn from the origin to the parabola y2 = 4a (x “ a) is
900
300
tan-1(½)
450
Explanation:-
Answer: Option A. -> 900
Question 8. Centre of a circle is (2, 3). If the line x + y = 1 touches, its equation is
x2 + y2 - 4x - 6y + 4 = 0
x2 + y2 - 4x - 6y + 5 = 0
x2 + y2 - 4x - 6y - 5 = 0
None of these
Explanation:-
Answer: Option B. -> x2 + y2 - 4x - 6y + 5 = 0
Question 9. The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x2 + y2 = 9 is
(3 / 2 , 1 / 2)
(1 / 2 , 3 / 2)
(1 / 2 , 1 / 2)
(1 / 2 , -2½)
Explanation:-
Answer: Option D. -> (1 / 2 , -2½)
Question 10. The line y = mx + 1 is a tangent to the parabola y2 = 4x if
