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
Q. If I can walk a certain distance in 50 days when I rest 9 hours each day, how long will it take me to walk twice as fast and rest twice as long each day to cover twice as far the previous distance?
1) 125 days
2) 120 days
3) 124 days
4) 130 days
Q. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running towards downstream. Then the ratio between the speed of the boat and the speed of the water current is -
1) 2 : 1
2) 3 : 2
3) 8 : 3
4) None of the above
Q. Five bells begin to ring together and ring respectively at intervals of 6, 7, 8, 9, and 12 seconds. After how many seconds will they ring together?
1) 72
2) 612
3) 318
4) 504
Q. 3 men and 4 women complete a work in 7 days and 2 men and 3 women do the same work in 10 days. In how many days will 3 men and 8 women complete the same work?
1) 4
2) 5
3) 6
4) 8
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