Q1. If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then:
(a) PQ + QR + RP = 2AB
(b) PQR must be a right-angled triangle
(c) PQR must be an equilateral triangle
(d) PQ + QR + PR = AB
Q6. Vinay started a business investing Rs. 70000. Ashok joined him after six months with an amount of Rs. 105000. Sunil joined them with Rs. 1.4 Lakh after another six months. The amount of profit earned should be distributed in what ratio among Vinay, Ashok and Sunil, three years after Vinay started the business?
(a) 42:45:56
(b) 7:6:10
(c) 12:15:16
(d) None of these
Q7. Veena started a business, investing Rs. 75000. After 3 months, Poonam joined her with an amount of Rs. 125000 and after another six months Sarita joined them with an amount of Rs. 150000. Profit earned at the end of three years from when Veena started the business should be distributed in what ratio among Veena, Poonam and Sarita, respectively?
(a) 36:55:54
(b) 18:28:27
(c) 35:54:55
(d) 35:54:57
Q8. A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, then how much C must pay as his share of rent?
(a) Rs. 45
(b) Rs. 50
(c) Rs. 55
(d) Rs. 60
Q9. Arun started a business investing Rs. 38000. After 5 months Bakul joined him with a capital of Rs. 55000. At the end of the year the total profit was Rs. 22000. What is the approximate difference between the share of profits of Arun and Bakul?
(a) Rs. 1192
(b) Rs. 1856
(c) Rs. 1007
(d) Rs. 1928
Q10. In a business B a sleeping partner and A is a working partner. A invests Rs. 5000 and B invests 6000. A receives 25/2% of profit for managing the business and the remaining amount is divided in proportion to their capitals. A’s share of profit in a profit of Rs. 880 is:
(a) Rs. 350
(b) Rs. 400
(c) Rs. 420
(d) Rs. 460
Q11.Kruti took a loan at simple interest rate of 6% in the first year with an increase of 0.5% in each subsequent year. She paid interest of Rs. 3375 after four years. How much loan did she take?
(a) Rs. 12500
(b) Rs. 33250
(c) Rs. 15800
(d) Cannot be determined
Q12.A person takes Rs. 10,000 loan at the rate of 10% interest compounding yearly for the period of 4 years. How much interest he has to pay?
(a) Rs. 4,371
(b) Rs. 4,581
(c) Rs. 14,641
(d) Rs. 4,641
Q13.A man borrows money at 3% per annum interest payable yearly and lend it immediately at 5% interest (compound) payable half-yearly and thereby gains Rs. 330 at the end of the year. The sum borrowed is:
(a) Rs. 17,000
(b) Rs. 16,500
(c) Rs. 15,000
(d) Rs. 16,000
Q14. If a sum of money compound annually becomes 1.44 times of itself in 2 years, then the rate of interest per annum is:
(a) 25%
(b) 22%
(c) 21%
(d) 20%
Q15. A sum of money lent at compound interest amounts to Rs. 1460 in 2 years and to Rs. 1606 in 3 years. The rate of interest per annum is:
(a) 12%
(b) 11%
(c) 10.5%
(d) 10%
