Q. If the ratio of ages of Seema and Reema is 9 : 16, after ten years it will be 2 : 3. The ratio of ages of Seema and Reema before six years was -
1) 2 : 3
2) 9 : 16
3) 3 : 2
4) 6 : 13
Q. If a2 + c2 + 17 = 2(a - 8b - 2b2), then what is the value of (a3 + b3 + C3)?
1) -7
2) 9
3) 10
4) -4
Q. The average of 8 consecutive even numbers written in ascending order is 17. What is the average of the last three numbers, 36 and 53?
1) 31
2) 32.2
3) 31.6
4) 29.8
Q. If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y?
1) 35
2) 37
3) 23
4) 21
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
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