Simple Equations Mcqs


Q.  The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?

a. 93
b. 39
c. 75
d. 48
e. Either (a) or (b)


ANSWER: See Answer
 
Let the two-digit number be 10a + b
a + b = 12 — (1)
If a>b, a – b = 6
If b>a, b – a = 6
If a – b = 6, adding it to equation (1), we get
2a = 18 => a =9
so b = 12 – a = 3
Number would be 93.
if b – a = 6, adding it to the equation (1), we get
2b = 18 => b = 9
a = 12 – b = 3.
Number would be 39.
There fore, Number would be 39 or 93.
MCQs:  A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:_________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man buys Rs. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investments, at what price did he buy the shares?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is__________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Masood invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A invested some money in 10% stock at 96. If B wants to invest in an equality good 12% stock, he must purchase a stock worth of___________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A 9% stock yields 8%. The market value of the stock is__________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man invested Rs. 14,400 in Rs.100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year , then how much does he get?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Find the income derived from 88 shares of Rs. 25 each at 5 premium, brokerage being (1/4) per share and the rate of dividend being 7(1/2) % per annum.
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is___________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man invested Rs. 14,400 in Rs 100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year, then how much does he get ?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A 9% stock yields 8%. The market value of the stock is__________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of__________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  How many shares of market value Rs. 25 each can be purchased for Rs. 12750, brokerage being 2% ?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man buys Rs. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares ?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is__________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  In order to obtain an income of Rs. 650 from 10% stock at Rs. ,96, one must make an investment of___________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is___________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.
Category: Mathematics Quizzes,   Published by: teswesm