Q. What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?
1) 0.7
2) 0.4
3) 0.5
4) 0.6
Q. There are two water taps in a tank that can fill the empty tank in 12 hours and 18 hours respectively. It is seen that there is a leakage point at the bottom of the tank which can empty the completely filled tank in 36 hours. If both the water taps are opened at the same time to fill the empty tank and the leakage point was repaired after 1 hour, then in how much time the empty tank will be completely filled?
1) 7 hours
2) 8 hours 24 minutes
3) 7 hours 24 minutes
4) 7 hours 12 minutes
Q. The marked price of an article is ₹ 2,720. If a shopkeeper sold the article at a 15% loss after giving a 25% discount, then the cost price (in ₹) of the article is -
1) ₹ 2,000
2) ₹ 2,400
3) ₹ 1,800
4) ₹ 1,200
Q. A train running at 72 km/h crosses a pole in 12 seconds. How much time (in seconds) will it take to cross a bridge 360 m long ?
1) 40
2) 75
3) 60
4) 30
Q. A borrowed a sum of ₹ 1,60,000 from B at 10% per annum simple interest. At the same time, he lent the same sum to C at the same rate on compound interest, compounded semi-annually for 2 years. Find the amount (in ₹ ) earned by A in the whole transaction -
1) ₹ 4,281
2) ₹ 4,280
3) ₹ 2,481
4) ₹ 2,840
Q. If (x + y)X3 + 27(x - y)3 = (Ax - 2y) (Bx2 + Cxy + 13y2), then the value of A - B - C is -
1) 27
2) 13
3) 15
4) 20
Q. Rajan spent 10% of his salary on rent. He spent 20% of the remaining part of his salary on transport. After which he spent 40% of the balance of his salary on food. Further, he spent 80% of the balance on various bills. He deposited 5000 in the bank and kept the remaining 1480 for his petty expenditure. Find his monthly salary (in ₹).
1) ₹ 75,000
2) ₹ 80,000
3) ₹ 64,800
4) ₹ 82,500
Q. In △ABC, AD is the bisector of ∠A meeting BC at D. If AC = 21 cm, BC = 11 cm, and the length of BD is 3 cm less than DC, then the length (in cm) of side AB is -
1) 10
2) 15
3) 18
4) 12
Q. Points P, Q, R, S and T lie in this order on a circle with center O. If chord TS is parallel to diameter PR and ∠RQT = 58°, then find the measure (in degrees) of ∠RTS -
1) 29
2) 32
3) 45
4) 58
Q. A man borrows ₹ 4,000 at a 15% compound rate of interest. At the end of each year, he pays back ₹ 1,500. How much amount should he pay at the end of the third year to clear all his dues after payback of ₹ 1,500 per annum for 3 years?
1) ₹ 824.50
2) ₹ 874.75
3) ₹ 924.25
4) ₹ 974.25
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