IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 606 - 611 of 1025
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Question 606
Question MCQ▾
Find the sum of all three-digit natural numbers, which on being divided by 5, leaves remainder equal to 4.
Choices
Choice (4) | Response | |
---|---|---|
a. | 57,270 | |
b. | 99,270 | |
c. | 49,680 | |
d. | 96,780 |
Question 607
Question MCQ▾
The sum of the first terms of the arithmetic progression is equal to half the sum of the next terms of the same progression. Find the ratio of the sum of the first terms of the progression to the sum of its first terms
Choices
Choice (4) | Response | |
---|---|---|
a. | 5 | |
b. | 6 | |
c. | 8 | |
d. | 7 |
Question 608
Question MCQ▾
Between the numbers 5 and 50,18 means are inserted, then their sum is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 695 | |
b. | 795 | |
c. | 895 | |
d. | 495 |
Question 609
Question MCQ▾
If the term of an A. P are P, Q, R respectively, then equals ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 1 | |
b. | ||
c. | ||
d. | 0 |
Question 610
Question MCQ▾
The sum of all terms of the arithmetic progression having ten terms except for the first term, is 144, and except for the eight term, 70. Find the second term of the progression if the sum of the first and the seventh terms is equal to 20.
Choices
Choice (4) | Response | |
---|---|---|
a. | 18 | |
b. | 16 | |
c. | 13 | |
d. | 19 |
Question 611
Question MCQ▾
In a given A. P, if the term is and term is , then its term is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |