IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 86 - 92 of 968
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Question 86
Question
MCQ▾If are the roots of then is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | -15 | |
b. | -20 | |
c. | -10 | |
d. | -5 |
Question 87
Question
MCQ▾The ratio between a two – digit number and the sum of digits of that number is . If the digit in the unit place is 3 more than the digit in the tenth place, what is the number?
Choices
Choice (4) | Response | |
---|---|---|
a. | 40 | |
b. | 63 | |
c. | 24 | |
d. | 36 |
Question 88
Question
MCQ▾The value of k for which the system of equations has no solution, is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 1 | |
b. | 10 | |
c. | 6 | |
d. | 3 |
Question 89
Question
MCQ▾If one zero of the polynomial is a reciprocal of the other, then k is equal to ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 5 | |
b. | 7 | |
c. | 9 | |
d. | 2 |
Question 90
Question
MCQ▾The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes . Then the original number was ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 91
Question
MCQ▾If are the roots of the equation , then the equation whose roots are and is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 92
Question
MCQ▾The difference of roots of the quadratic equation is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |