Algebra
6 questions available
FILTER BY SUBTOPIC
Q1.2x - 5y = ab, x + 10y = -8. In the system of equations constants. If the system has infinitely many solutions, what is the value of a?
Correct Answer: C
Q2.Total cost of 5 markers and 1 pencil is Rs. 245 and total cost of 3 markers and 3 pencils is Rs. 327. What is the cost of one marker?
Correct Answer: B
Solving 5m + p = 245 and 3m + 3p = 327 simultaneously gives m = Rs. 34.
Q3.At a football match, the price of child ticket is Rs. 240 less than the adult ticket. There are 18,500 adults and 2500 children attending the match. Total amount paid for tickets is Rs. 41,400,000. What is the price of one adult ticket?
Correct Answer: C
Let adult price = p, child = p-240. 18500p + 2500(p-240) = 41,400,000. Solving gives p = Rs. 2000.
Q4.Total cost of 5 markers and 1 pencil is Rs.245 and total cost of 3 markers and 3 pencils is Rs. 327. What is the cost of one marker?
Correct Answer: B
Correct answer is B: Rs. 34
Q5.In 1999, Danish read 10 English books and 7 Urdu books. In 2000, he read twice as many Urdu books as English books. If 60% of the books that he read during the two years were Urdu, how many books did he read in 2000?
Correct Answer: D
Let English books in 2000 = x, so Urdu books in 2000 = 2x. Total Urdu over two years = 7 + 2x. Total books over two years = (10 + 7) + (x + 2x) = 17 + 3x. Given (7 + 2x) / (17 + 3x) = 0.60. Solving: 7 + 2x = 10.2 + 1.8x => 0.2x = 3.2 => x = 16. In 2000, total books read = 3x = 3(16) = 48.
Q6.If x² - x = 12 and y² - y = 12, what is the possible value of x - y?
Correct Answer: B
Solving the quadratic z² - z - 12 = 0 gives (z - 4)(z + 3) = 0, so roots are 4 and -3. Thus x and y can be 4 or -3. If x=4 and y=-3, then x-y = 7. If x=-3 and y=4, then x-y = -7. Therefore, possible values are 0 or ±7.