A rear mirror of a vehicle is cylindrical having radius of curvature 10 cm. The length of arc of curved surface is also 10 cm. If the eye of the driver is assumed to be at a large distance from the mirror, then the field of view in radians is
Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes are opened in order at 8, 9 and 11 a.m. respectively, then the tank will be emptied at
Let S1, S2,... be the square such that for each n ≥ 1, the length of the diagonal of Sn is equal to the length of the side of Sn+1. If the length of the side of S3 is 4 cm, what is the length of the side of Sn?
Direction for question : In the below question, two sentences (I) and (II) are given. Each sentence has a blank in it. Five words (1), (2), (3), (4), and (5) are suggested. Out of these only one fits at both the places in the context of each sentence. The number of that word is the answer.
I. She took a slab of cheese to ________ it and add it to the sandwiches.
My speed on a horizontal surface is 15 m/s and which increases by 33 1/3%, when I go downhill and decreases by 20% when I go uphill. The given figure shows a mountaineering track PQRS. Where QR and PS are horizontal tracks while PQ and RS are at inclination.
A person drew ‘x’ triangles on a board such that no two of them touched or intersected each other.His friend counted the various types of triangles on the board and came up with the following data.
• Exactly 20 triangles were there in which all the sides were equal. • At least 32 triangles were there in which at least two sides were equal. • Exactly 12 triangles were there in which all the sides were of different lengths. • Exactly 24 triangles were there in which one interior angle was obtuse. • Exactly 28 triangles were there in which all the interior angles were acute.