Online Math Quiz on Progressions

In Online Math Quiz on Progressions we will complete 10 multiple choice questions on Progressions.

1. If x1, x2, x3, .... are in AP then xa, xb, xc are in AP if a, b, c are in

(i) AP

(ii) GP

(iii) HP

(iv) None of these



2. Let tr denote the rth term of an AP. If tm = 1n and tn = 1m then tmn equals

(i) 1mn

(ii) 1m + 1n

(iii) 1

(iv) 0



3. If a, b, c, d ∈ N and they are four consecutive terms of an AP then the ath, bth, cth, dth terms of a GP are in

(i) AP

(ii) GP

(iii) HP

(iv) None of these


4. If in a progression x1, x2, x3, ...., etc., (xr - xr+1) bears a constant ratio with xr ∙ xr+1 then the terms of the progression are in

(i) AP

(ii) GP

(iii) HP

(iv) None of these


5. If x2x3x1x2 = x2+x3x1+x2 = 3 (x2x3x1x4) then x1, x2, x3, xr are in

(i) AP

(ii) GP

(iii) HP

(iv) None of these


6. Let p, r, r be three positive prime numbers. The progression in which p, q, r can be three terms (not necessarily consecutive) is

(i) AP

(ii) GP

(iii) HP

(iv) None of these


7. Let a function f(z) = 2z + 1. Then the number of real values of z for which the three unequal numbers f(z), f(2z), f(4z) are in GP is

(i) 1

(ii) 2

(iii) 0

(iv) None of these.


8. Let x1, x2, x3, .... are in AP then xa, xb, xc are in GP. Then xb : xa is equal to

(i) caba

(ii) bacb

(iii) cbba

(iv) None of these

 

9. If x, y, z are in GP then x + y, 2y, y + z are in

(i) AP

(ii) GP

(iii) HP

(iv) None of these


10. If p, q, r, s are nonzero real numbers such that

(p2 + q2 + r2)(q2 + r2 + s2) ≤ (pq + qr + rs)2 then p, q, r, s are in

(i) AP

(ii) GP

(iii) HP

(iv) None of these


Answers for the Online Math Quiz on Progressions are given below to check the exact answers of the above 10 multiple choice questions.


Answers: 


1. (i)

2. (iii)

3. (ii)

4. (iii)

5. (iii)

6. (iv)

7. (iii)

8. (iii)

9. (iii)

10. (ii)

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