Q. A takes 8 hours more than the time taken by B to cover a distance of 160 km. If A doubles his speed, he takes 3 hours more than B to cover the same distance. The speed (in km h) of B is -
1) 72
2) 70
3) 75
4) 80
Q. The marked price of an article is ₹ 1500. A shopkeeper sells it by giving a 20% discount on its marked price. If the cost price of the article is ₹ 991, then his profit (in ₹) is -
1) ₹ 209
2) ₹ 319
3) ₹ 229
4) ₹189
Q. By selling an article for ₹ 640, a person loses 15% of its selling price. At what price (in ₹) should he sell it to gain 15% on its cost price?
1) ₹ 832
2) ₹ 846.40
3) ₹ 835
4) ₹ 836.60
Q. In a circle with center O, PAX and PBY are the tangents to the circle at points A and B, from an external point P. Q is any point on the circle such that ∠QAX = 59° and ∠QBY = 72°. What is the measure of ∠AQB?
1) 31°
2) 72°
3) 49°
4) 59°
Q. A certain sum becomes ₹ 13,650 at 15% p.a. simple interest after 2 years. What will be the amount (in of the same sum after 1 year at the same rate of interest, if the interest is compounded half yearly (nearest to a ₹ )?
1) ₹ 12,134
2) ₹ 10,500
3) ₹ 13,625
4) ₹ 11,000
Q. A sum of ₹ 31,866 is divided between A, B, and C in such a way that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5. The share (in ₹) of B is -
1) ₹ 9,024
2) ₹ 12,690
3) ₹ 10,152
4) ₹ 8,460
Q. A certain number of students from school X appeared in an examination and 20% of students failed. From school Y, 130% more students than that from school X, appeared in the same examination. If 90% of the total number of students appeared from both the schools passed, then what is the percentage of students from school Y who failed (correct to one decimal place)?
1) 6.4%
2) 10%
3) 5.7%
4) 8.3%
Q. In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, EF = 6 cm, then find the length (in cm) of BC.
1) 30
2) 20
3) 25
4) 15
Q. Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?
1) 11
2) 22
3) 12
4) 24
Q. A △ABC has sides of 5 cm, 6 cm, and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
1) 13
2) 9
3) 11
4) 12
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