Q. A boy completes one round of a circular track of diameter 200 meters in 30 sec. What will be the displacement at the end of 3 minutes and 45 seconds?
1) 50 meter
2) 100 meter
3) 200 meter
4) 236 meter
Q. If x + y + z = 11, xy + yz + zx = - 6, and x⊃3 + y⊃3 + z⊃3 = 1604, then the value of xyz is -
1) 25
2) 4
3) 1
4) 5
Q. The ratio of the speeds of two trains is 2 : 7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km/h) of both the trains is -
1) 250
2) 175
3) 150
4) 225
Q. Which is the smallest multiple of 7, which leaves 5 as the remainder in each case, when divided by 8, 9, 12, and 15?
1) 365
2) 1085
3) 2525
4) 725
Q. At present, A is younger than B by 8 years. If 4 years ago, their ages were in the ratio 1 : 2, then what is the present age of B (in years)?
1) 11
2) 20
3) 12
4) 18
Q. The marked price of an article is ₹ 625. After allowing a discount of 32% on the marked price, there was a profit of ₹ 25. The profit percentage (correct to the nearest integer) is -
1) 5%
2) 4%
3) 6%
4) 7%
Q. What is the remainder when the product of 335, 608, and 853 is divided by 13?
1) 11
2) 12
3) 6
4) 7
Q. A tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 10-5 cm. A secant PAB intersects the circle in points A and B. If PA = 7 cm, what is the length (in cm) of the chord AB?
1) 8.5
2) 8.75
3) 7.75
4) 8.45
Q. The bisector of ∠B in △ABC meets AC at D. If AB = 12 cm, BC = 18 cm and AC = 15 cm, then the length of AD (in cm) is -
1) 6
2) 5
3) 12
4) 9
Q. A, B, and C can do a work in 8,10, and 12 days, respectively. After completing the work together, they received ₹ 5,550. What is the share of B (in ₹) in the amount received?
1) ₹ 1,500
2) ₹ 1,850
3) ₹ 1,800
4) ₹ 1,696
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