IMO- Mathematics Olympiad Class 10: Questions 642 - 647 of 908

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Question number: 642

» Arithmetic Progressions

MCQ▾

Question

Between the numbers 7 and 70, 28 means are inserted, then their sum is ________

Choices

Choice (4) Response

a.

1695

b.

1078

c.

1895

d.

1795

Question number: 643

» Arithmetic Progressions

MCQ▾

Question

In an A. P, If it is given that t2p+1=t2q+1 then t6p+1 is equal to ________

Choices

Choice (4) Response

a.

tp+q

b.

t6p+1

c.

6tpq+1

d.

2tp+q1

Question number: 644

» Arithmetic Progressions

MCQ▾

Question

The value of k=15(1k)2 is ________

Choices

Choice (4) Response

a.

11431200

b.

11431500

c.

11431500

d.

11431200

Question number: 645

» Arithmetic Progressions

MCQ▾

Question

If S=1222+3242 up to n terms and n is even, then S equals________

Choices

Choice (4) Response

a.

n(n+1)2

b.

n(n1)2

c.

n(n+1)2

d.

n(n1)2

Question number: 646

» Arithmetic Progressions

MCQ▾

Question

Let sn denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by d=SnKSn1+Sn2, then K is equal to ________ ________

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

Question number: 647

» Arithmetic Progressions

MCQ▾

Question

Product of the fourth term and the fifth term of an arithmetic progression is 594. Division of the ninth term by the fourth term of the progression gives quotient as 2 and the remainder as 3. Find the first term of the progression

Choices

Choice (4) Response

a.

9

b.

6

c.

4

d.

7

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