IMO- Mathematics Olympiad Class 10: Questions 611 - 617 of 889

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Question number: 611

» Arithmetic Progressions

MCQ▾

Question

In a given A. P, if the pth term is q and qth term is p , then its nth term is ________

Choices

Choice (4) Response
a.

p+q+n

b.

p+qn

c.

pq+n

d.

pqn

Question number: 612

» Arithmetic Progressions

MCQ▾

Question

In an A. P. , the sum of first n terms is 9n22+11n2 , find its 25th term

Choices

Choice (4) Response
a.

224

b.

226

c.

216

d.

220

Question number: 613

» Arithmetic Progressions

MCQ▾

Question

If in an A. P. , Sn=n2pandSm=m2p , where Sr denotes the sum of r terms of the A. P, then sp is equal to ________

Choices

Choice (4) Response
a.

p3

b.

mnp

c.

12p3

d.

(m+n)p2

Question number: 614

» Arithmetic Progressions

MCQ▾

Question

Three numbers are inserted between the 2 numbers and 30 such that an A. P. results. Find the fourth numbers.

Choices

Choice (4) Response
a.

42

b.

24

c.

23

d.

32

Question number: 615

» Arithmetic Progressions

MCQ▾

Question

If the sum of p terms of an A. P. is q and the sum of q terms is p , then the sum of p+q terms is ________

Choices

Choice (4) Response
a.

p+1

b.

0

c.

pq

d.

(p+q)

Question number: 616

» Arithmetic Progressions

MCQ▾

Question

If the sum of first n even natural numbers is equal to K times the sum of first n odd natural numbers, and then K is equal to ________

Choices

Choice (4) Response
a.

1n

b.

n+12n

c.

n+1n

d.

n1n

Question number: 617

» Arithmetic Progressions

MCQ▾

Question

If b1,b2,b3,. Belongs to A. P. such that b1+b6++b30=330 , then the value of b1+b2+b3++b30 equals ________

Choices

Choice (4) Response
a.

1584

b.

1654

c.

1650

d.

1325

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