MCQOPTIONS
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MCQOPTIONS
This section includes 136 Mcqs, each offering curated multiple-choice questions to sharpen your Maharashtra CET knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
Let a, b, c be in AP and k ≠ 0 be a real number. Which of the following are correct?1. ka, kb, kc are in AP2. k - a, k - b, k - c are in AP3. \(\frac{a}{k},\frac{b}{k},\frac{c}{k}\) are in APSelect the correct answer using the code given below: |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1 and 3 only |
| D. | 1, 2, and 3 |
| Answer» E. | |
| 102. |
1/2,1/7,1/12,… is |
| A. | an arithmetic progression |
| B. | a Geometric Progression (GP) |
| C. | a harmonic progression |
| D. | a harmonic series |
| Answer» D. a harmonic series | |
| 103. |
If H is harmonic mean between 7 and 8, then H/2 = |
| A. | 112/15 |
| B. | 56/15 |
| C. | 28/15 |
| D. | 14/15 |
| Answer» C. 28/15 | |
| 104. |
Series obtained by adding terms of geometric sequences is called |
| A. | harmonic series |
| B. | geometric series |
| C. | arithmetic series |
| D. | infinite series |
| Answer» B. geometric series | |
| 105. |
Harmonic mean between two numbers a and b is |
| A. | a+b/2ab |
| B. | a-b/2ab |
| C. | 2ab/(a+b) |
| D. | 2ab/a-b |
| Answer» D. 2ab/a-b | |
| 106. |
A.M between x-3 and x+5 is |
| A. | x-1 |
| B. | x+1 |
| C. | 2x-1 |
| D. | 2x+2 |
| Answer» C. 2x-1 | |
| 107. |
Geometric mean between -2ι and 8ι are |
| A. | ±4 |
| B. | ±3 |
| C. | ±2 |
| D. | ±1 |
| Answer» B. ±3 | |
| 108. |
A number G is said to be geometric mean between two numbers a and b if a,G,b is |
| A. | a sequence |
| B. | A.P |
| C. | not a sequence |
| D. | G.P |
| Answer» D. G.P | |
| 109. |
If an+2 + bn+2/an+1 + bn+1 is geometric mean between a and b, then n = |
| A. | −1 |
| B. | 1 |
| C. | −2 |
| D. | −0.5 |
| Answer» E. | |
| 110. |
Arithmetic mean between a and b is |
| A. | a-b/2 |
| B. | b-a/2 |
| C. | a + b/2 |
| D. | ±√(ab) |
| Answer» D. ±√(ab) | |
| 111. |
A.P whose nth term is 2n-1 is |
| A. | 1,3,6,… |
| B. | 2,3,5,… |
| C. | 1,3,5,… |
| D. | 5,3,1,… |
| Answer» D. 5,3,1,… | |
| 112. |
1,8,15,22,29,36,… is |
| A. | G.P |
| B. | A.P |
| C. | Geometric series |
| D. | arithmetic series |
| Answer» C. Geometric series | |
| 113. |
Sum of series 1+1/2+1/2² + … is |
| A. | 2 |
| B. | ³⁄2 |
| C. | 4⁄3 |
| D. | 10⁄9 |
| Answer» B. ³⁄2 | |
| 114. |
Sum of an infinite geometric series exist only if condition on common ratio r is |
| A. | −1 < r < 1 |
| B. | −1 ≤ r ≤ 1 |
| C. | r < −1,r > 1 |
| D. | r ≤ −1,r≥ 1 |
| Answer» B. −1 ≤ r ≤ 1 | |
| 115. |
If n is total number of geometric mean between a and b than nth geometric mean between a and b is |
| A. | a(b/a)n/n+1 |
| B. | a(b/a)m/n+1 |
| C. | b(a/b)m/n+1 |
| D. | ab |
| Answer» C. b(a/b)m/n+1 | |
| 116. |
If a and d are first term and common difference of A.P respectively, then nth term of corresponding H.P is |
| A. | an = a+(n-1)d |
| B. | an = 1/a+(n-1)d |
| C. | an = a/1+(n-1)d |
| D. | an = a/a+(n-1)d |
| Answer» C. an = a/1+(n-1)d | |
| 117. |
H1,H2,…,Hn are said to be n harmonic means between a and b if a,H1,H2…,Hn,b form |
| A. | H.P |
| B. | A.P |
| C. | G.P |
| D. | Harmonic series |
| Answer» B. A.P | |
| 118. |
Sum of first six terms of series 1+7+13+… is |
| A. | 12 |
| B. | 24 |
| C. | 48 |
| D. | 96 |
| Answer» E. | |
| 119. |
Second term of sequence with general term n² - 4/2 is |
| A. | 3 |
| B. | −3 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 120. |
If n is total number of harmonic mean between a and b then mth harmonic mean between a and b is |
| A. | (n+1)ab/(n+1)+n(a-b) |
| B. | (n+1)ab/(n+1)b+m(a-b) |
| C. | (n+1)b+m(a-b) |
| D. | (n+1)ba |
| Answer» C. (n+1)b+m(a-b) | |
| 121. |
No terms of a Harmonic sequence can be |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 0 |
| Answer» E. | |
| 122. |
2,4,6,8,10,12,… is |
| A. | G.P |
| B. | A.P |
| C. | Geometric series |
| D. | arithmetic series |
| Answer» C. Geometric series | |
| 123. |
Sum of first fifteen terms of series 3+19+35+… is |
| A. | 1725 |
| B. | 345 |
| C. | 69 |
| D. | 23 |
| Answer» B. 345 | |
| 124. |
A.M between 9 and 11 is |
| A. | 10 |
| B. | 9 |
| C. | 9 |
| D. | 0 |
| Answer» B. 9 | |
| 125. |
If A and H are arithmetic and harmonic mean between 2 and 3, then A + H = |
| A. | 49/20 |
| B. | 49/10 |
| C. | 49/5 |
| D. | 32/4 |
| Answer» C. 49/5 | |
| 126. |
Sum of series 1+1/3+1/3² +… is |
| A. | 2 |
| B. | ³⁄2 |
| C. | 4⁄3 |
| D. | 10⁄9 |
| Answer» C. 4⁄3 | |
| 127. |
Series obtained by adding term of arithmetic sequences is called |
| A. | harmonic series |
| B. | geometric series |
| C. | arithmetic series |
| D. | infinite series |
| Answer» D. infinite series | |
| 128. |
A.M between 1-x+x² and 1+x+x² is |
| A. | 2-x² |
| B. | 2+ x² |
| C. | 1-x² |
| D. | 1+x² |
| Answer» E. | |
| 129. |
A.M between 3√(5) and 5√(5) is |
| A. | √(5) |
| B. | 2√(5) |
| C. | 3√(5) |
| D. | 4√(5) |
| Answer» E. | |
| 130. |
5th term of G.P 3,6,12,… is |
| A. | 15 |
| B. | 48 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 131. |
Fifth term of sequence an = 2n+3 is |
| A. | −13 |
| B. | −7 |
| C. | 7 |
| D. | 13 |
| Answer» E. | |
| 132. |
2¹ + 2² +2³ +….+2n = |
| A. | 2(2n - 1) |
| B. | 2(2n-1 -1) |
| C. | 2(2n+1 -1) |
| D. | None of Above |
| Answer» B. 2(2n-1 -1) | |
| 133. |
Arithmetic mean between 2+√(2) and 2-√(2) is |
| A. | 2 |
| B. | √(2) |
| C. | 0 |
| D. | 4 |
| Answer» B. √(2) | |
| 134. |
Common difference of sequence 5,8,11,14,… is |
| A. | 3 |
| B. | −3 |
| C. | 0 |
| D. | 1 |
| Answer» B. −3 | |
| 135. |
If A, G, H are arithmetic, geometric and harmonic means between a and b respectively, then A,G,H are |
| A. | in G.P |
| B. | in A.P |
| C. | in H.P |
| D. | Real numbers |
| Answer» B. in A.P | |
| 136. |
G1,G2,…,Gn are said to be n geometric means between a and b if a,G1,…Gn,b is |
| A. | a sequenceb |
| B. | not a sequence |
| C. | G.P |
| D. | A.P |
| Answer» D. A.P | |