Q. Two trains, 121 m and 99 m long, are running in opposite directions at the speeds of 40 kmph and 32 kmph respectively. In what time will they completely cross each other from the moment they meet?
1) 11 sec.
2) 8 sec.
3) 9 sec.
4) None the these
Q. On side of a right-angled triangle is 126 cm. The difference between the hypotenuse and the other side is 42 cm. The length of the hypotenuse is -
1) 168 cm
2) 189 cm
3) 210 cm.
4) None of these
Q. The curved surface of a cylinder is 264 m2. Its volume is 924 m3. The height of the cylinder must be -
1) 4 m
2) 6 m
3) 8 m
4) None of these
Q. The L.C.M. of the polynomials (36x2 - 49) and (6x2 - 5x + 21) is -
1) (x - 3)
2) (x - 3)2 (6x - 7)
3) (x - 3)(6x - 7)(6x + 7)
4) None of those
Q. Three numbers are in the ratio 3:2:5. The sum of their square is 1862. the smallest of these number is:
1) 24
2) 21
3) 14
4) 35
Q. If 24 men can do a piece of work in 27 days working 7 hours per day, in how many days can 14 men do it working at the rate of 9 hours per day?
1) 28
2) 30
3) 36
4) 35
Q. Two poles of heights 7 feet and 12 feet are standing in a ground 12 feet apart. What is the distance between top of the poles:
1) 12 feet
2) 13 feet
3) 11 feet
4) 10 feet
Q. If cos x = sin y and cot (x-40°) = tan (50° - y), then the values of x and y are
1) 70°, 20°
2) 85°, 5°
3) 80°, 10°
4) 60°, 30°
Q. A guard observes an enemy boat, from an observation tower at a height of 180 metre above sea level, to be at an angle of depression of 6°. The distance of the boat from the foot of the observation tower is
1) 180 metre
2) 180√3 metre
3) 60√3 metre
4) 60 metre
Q. If f(x) = cos2x + sec2x, then the minimum value of f(x) is
1) 1
2) -1
3) 12
4) 2
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