Question
Find the value of
'm'. A set of 2 equations is given below. Read the information carefully and answer the question based on it Equation (I): xΒ² - px + q = 0 has roots 'm' and 5. Equation (II): xΒ² - (p - 2)x + (q - 6) = 0 has roots 'm' and 3.Solution
From Equation (I): m + 5 = p and m * 5 = q From Equation (II): m + 3 = p - 2 and m * 3 = q β 6 From equation (I) and (II) 5m = q q = 15 Solving for m, we get m = 3 Answer: (a) 3
Amit and Sara started a business with the investments of Rs. 20,000 and Rs. 30,000 respectively. After one year, Amit increases his investment by Rs. 5,...
P and Q entered into partnership with Rs. 8000 and Rs. 12000 respectively. After 4 months P withdrew `1/4` of his stock but after 4 months more he put b...
Two firms, X and Y, began a joint venture by investing in a ratio of 9:16. After six months, Firm Y withdrew its entire investment. At the end of the ye...
M and N started a business by investing Rs.4000 and Rs.5000 respectively. After 7 months, M and N increased their investments by 30% and Rs.2400 respect...
βAβ and βBβ invested Rs. 4800 and Rs. 3600, respectively in a business, together. After 6 months, βAβ withdrew 25% of his initial investment...
βAβ, βBβ and βCβ started a business by investing Rs. 3,000, Rs. 3,600 and Rs. 2,400, respectively. After 6 months, βBβ decreased his inv...
A, B and C invest in a partnership in the ratio 8:5:10 and investment of A is Rs.200 less than investment of C. Partner B invests for 1/5th and A and C ...
βAβ invested Rs. 3500 in a business. βBβ joined x months later with an investment of Rs. 2500. If at the end of the year, Bβs share in the pro...
βCβ and βDβ entered into a business by investing Rs. βyβ and Rs. βy + 300β, respectively. After 10 months βCβ invested Rs. 400 more ...
P and Q started a business by investing Rs.5600 and Rs.4000 respectively. After 6 months, Q increased his investment by a certain percentage such that a...