Mathematics Question and Answer for Exams
D and E are midpoints of side AB and AC respectively of the ΔABC. A line drawn from A meets BC at H and DE at K. AK : KH = ?
(A) 1 : 1
(B) 1: 2
(C) 2 : 1
(D) 3 : 2
Correct Answer : A
If each interior angle is doubled of each exterior angle of a regular polygon with n sides, then the value of n is
(A) 3
(B) 6
(C) 5
(D) 8
Correct Answer : B
The length of the two sides forming the right angle of a right-angled triangle are 6 cm and 8 cm, then find the length of its circum radius:
(A) 6 cm
(B) 10 cm
(C) 5 cm
(D) 7 cm
Correct Answer : C
The sides of a triangle are in the ratio of 7: 9 : 12. The difference between the lengths of largest and smallest sides is 15 cm . The length of the largest sides would be:
(A) 60 cm
(B) 24 cm
(C) 36 cm
(D) 21cm
Correct Answer : C
A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?
(A) 10 m
(B) 17.32 m
(C) 34.64 m
(D) 30 m
Correct Answer : A
A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
(A) 90
(B) 45
(C) 60
(D) 30
Correct Answer : D
One watch which gains uniformly is one minute slow at 1 pm on Tuesday and it is two minutes fast at 1 am on the following Friday. When had it shown the correct time?
(A) 5.00 pm on Wednesday
(B) 9.00 pm on Wednesday
(C) 5.00 am on Wednesday
(D) 9.00 am on Wednesday
Correct Answer : D
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
(A) 5 min. past 7
(B) $$5{2\over 11} $$ minutes past 7
(C) $$5{3\over 11} $$ minutes past 7
(D) $$5{5\over 11} $$ minutes past 7
Correct Answer : D
If 1 + sin2 A = 3 sin A cos A, then what are the possible values of tan A?
(A) 1, 0
(B) 1, 1/2
(C) 1 , 1/3
(D) 1, 3
Correct Answer : B
What is the value of $${\sqrt{1-cosA\over{1+cosA}}}$$?
(A) cosecA-sinA
(B) cosecA+cotA
(C) secA-cotA
(D) secA+cotA
Correct Answer : A