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
Q. The radius of a circle is 13 cm and AB is a chord which is at a distance of 12 cm from the centre. Then the length of the chord is
1) 16 cm
2) 10 cm
3) 8 cm
4) 15 cm
Q. (186 x 270.99) ÷ 40 = ?
1) 1200
2) 1300
3) 1180
4) 1260
Q. 25.05% of 2845 + 14.95 x 2400 = ?
1) 36,700
2) 36,500
3) 35,800
4) 35,600
Q. 2950 ÷ 12.25 + 160 = ?
1) 440
2) 350
3) 360
4) 400
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