IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 599 - 605 of 1025
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Question 599
Question MCQ▾
Four numbers are inserted between the numbers 4 and 39 such that an A. P. results. Find the biggest of these four numbers.
Choices
Choice (4) | Response | |
---|---|---|
a. | 31 | |
b. | 30 | |
c. | 33 | |
d. | 32 |
Question 600
Question MCQ▾
If the sum of three consecutive terms of an increasing A. P. is 75 and the product of the first and third of these terms is 600, then the third term is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 90 | |
b. | 30 | |
c. | 60 | |
d. | 50 |
Question 601
Question MCQ▾
Let Be the arithmetic progressions such that . The sum of the first four hundred terms of the progressions is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 160000 | |
b. | 300000 | |
c. | 950000 | |
d. | 350000 |
Question 602
Question MCQ▾
In an A. P, If it is given that then is equal to ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 603
Question MCQ▾
Let Be the arithmetic progressions such that . The sum of the first one hundred terms of the progressions is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 10000 | |
b. | 0 | |
c. | 100 | |
d. | 505000 |
Question 604
Question MCQ▾
If Belongs to A. P. such that , then the value of equals ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 616 | |
b. | 308 | |
c. | 2200 | |
d. | 1232 |
Question 605
Question MCQ▾
If four numbers are in A. P. such that their sum is 50 and the greatest number is 4 times the least, then the numbers are ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |