What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?
(A) Two triangles are said to be congruent if any pair of 2 angles and any 1 pair of sides of both the triangles are equal.
(B) Two triangles are said to be congruent if all three sides of both the triangles are equal.
(C) Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle
(D) Two triangles are said to be congruent if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of the other triangle.
Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:
(A) 0.28
(B) 3.48
(C) 251.62
(D) 129.23
Find the value of sec θ − tan θ, if sec θ + tan θ =
(A)
(B) 5
(C)
(D)
If p = 8.15, q = 9.06 and r = −17.21, then the value of p3+q3+r3-3pqr
(A) -5.62
(B) 4.75
(C) -3.81
(D) 0
If the seven-digit number 52A6B7C is divisible by 33, and A, B, C are primes, then the maximum value of 2A + 3B + C is:
(A) 34
(B) 32
(C) 27
(D) 23
Raghav purchased a shirt at Rs.1,500 and marked up the price of the shirt by 40%. What is the discount percentage he has to offer in order to get a profit of Rs.75?
(A) 75%
(B) 15%
(C) 50%
(D) 25%
Ram starts from point A at 8 a.m. and reaches point B at 2 p.m. on the same day. On the same day, Raju starts from point B at 8 a.m. and reaches point A at 6 p.m. on the same day. Both points A and B are separated by only a straight line track. At what time they both meet?
(A) 11:45 a.m.
(B) 9:42 a.m
(C) 10:42 a m.
(D) 12:42 p.m.
The value of
(A) -1
(B) 1
(C) 2
(D) 0
Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:
(A)
(B)
(C)
(D)
The diameters of two circles are 12 cm and 20 cm, respectively and the distance between their centres is 16 cm. Find the number of common tangents to the circles.
(A) 1
(B) 2
(C) 3
(D) 4
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