MCQ 11 Mark
Sum of first $n$ terms of AP are $a, 3 a, 5 a$... their sum is __________
- A
$n a$
- B
$(2 n-1) a$
- ✓
$n^2 a$
- D
$n^2 a^2$
AnswerCorrect option: C. $n^2 a$
$n^2 a$
View full question & answer→MCQ 21 Mark
If $n^{\text {th }}$ term of an AP is $2 n+1$ then its sum of $n$ terms is ________
- A
$n(n-2)$
- ✓
$n(n+2)$
- C
$n(n+1)$
- D
$n(n-1)$
AnswerCorrect option: B. $n(n+2)$
$n(n+2)$
View full question & answer→MCQ 31 Mark
The common difference of two AP is identical and difference of their ten lakhs term is $11222333$ . Then difference of their $100^{\text {th }}$ term is _______
- ✓
$11222333$
- B
$333222111$
- C
$222333111$
- D
$333111222$
AnswerCorrect option: A. $11222333$
$11222333$
View full question & answer→MCQ 41 Mark
$10^{\text {th }}$ term of an AP $\sqrt{2}, \sqrt{8}, \sqrt{18}, \ldots$ is _________
- A
$\sqrt{162}$
- ✓
$\sqrt{200}$
- C
$\sqrt{242}$
- D
$\sqrt{288}$
AnswerCorrect option: B. $\sqrt{200}$
$\sqrt{200}$
View full question & answer→MCQ 51 Mark
If $+2,4-6,3-2$ are consecqutive terms of AP then = ________
View full question & answer→MCQ 61 Mark
Common difference $\frac{1}{29}, \frac{1-29}{29}, \frac{1-49}{29}$, is _________
View full question & answer→MCQ 71 Mark
The ratio at sum of first terms of an $AP$ is $5+4: 9+6$. Then ratio of their $18^{\text {th }}$ term is
- ✓
$\frac{179}{321}$
- B
$\frac{178}{321}$
- C
$\frac{175}{321}$
- D
$\frac{176}{321}$
AnswerCorrect option: A. $\frac{179}{321}$
$\frac{179}{321}$
View full question & answer→MCQ 81 Mark
If $n^{\text {th }}$ term of an AP is $3 n+1$ then its $30^{\text {th }}$ term is
View full question & answer→MCQ 91 Mark
The $n^{\text {th }}$ term of an AP $8,3,-2, \ldots$ is __________
- A
$-2+3 n$
- B
$5-13 n$
- ✓
$13-5 n$
- D
$8+3 n$
AnswerCorrect option: C. $13-5 n$
$13-5 n$
View full question & answer→MCQ 101 Mark
Sum of first terms of an AP $\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}$ is ________
- A
$\frac{(+1)}{2}$
- B
$2(+1)$
- ✓
$\frac{(+1)}{\sqrt{2}}$
- D
$\frac{+1}{2}$
AnswerCorrect option: C. $\frac{(+1)}{\sqrt{2}}$
$\frac{(+1)}{\sqrt{2}}$
View full question & answer→MCQ 111 Mark
Sum of first three terms of AP is $51$ and product of first and third term is $240$ . Then ______ of the following is difference of AP.
View full question & answer→MCQ 121 Mark
The numbers $2,7$ and $k+4$ are in AP then $k=$_________
View full question & answer→MCQ 131 Mark
For an AP it $a=-7.2, d=3.6$ and $a_n=7.2$ then $n=$________
View full question & answer→MCQ 141 Mark
The sum of first 16 terms of an $AP 10,6,2, \ldots$ is _______
View full question & answer→MCQ 151 Mark
The $10^{\text {th }}$ term of AP $5,8,11,14, \ldots$ is ________
View full question & answer→MCQ 161 Mark
$3 n-\frac{2(1+2+3+\ldots+n)}{n}$ has value ________
- ✓
$2 n-1$
- B
$3 n$
- C
$2 m-1$
- D
$-3 n$
AnswerCorrect option: A. $2 n-1$
$2 n-1$
View full question & answer→MCQ 171 Mark
The sum of first $10$ terms of $A P-5,-2,-1, \ldots$ is _________
View full question & answer→MCQ 181 Mark
A contractor takes $₹ 1000$ to dig $1$ metre of well. For second metre he takes $₹ 1040$ and for third metre he takes $₹ 1080$ and so on. Then ________ amount he get to dig well at $50$ metre.
- A
$₹ 90000$
- ✓
$₹ 99000$
- C
₹ $1,00,000$
- D
$9000$
AnswerCorrect option: B. $₹ 99000$
$₹ 99000$
View full question & answer→MCQ 191 Mark
If $n^{\text {th }}$ term of AP is $6 n-4$ then common difference is __________
View full question & answer→MCQ 201 Mark
For an arithmetic sequence if $a_{18}-a_{14}=32$ then $d=$_________
View full question & answer→MCQ 211 Mark
For an AP if $a_1=1, a_n=20$ and $S _n=399$ then $n=$________
View full question & answer→MCQ 221 Mark
$\frac{6}{5}, a$, and 4 are in AP then $a=$_______
- A
- B
- ✓
$\frac{13}{5}$
- D
$\frac{25}{6}$
AnswerCorrect option: C. $\frac{13}{5}$
$\frac{13}{5}$
View full question & answer→MCQ 231 Mark
For an AP 21, 42, 63, 84, __________ term is 210 .
- A
$9^{\text {th }}$ term
- ✓
$10^{\text {th }}$ term
- C
$11^{\text {th }}$ term
- D
$8^{\text {th }}$ term
AnswerCorrect option: B. $10^{\text {th }}$ term
$10^{\text {th }}$ term
View full question & answer→MCQ 241 Mark
For an $AP -5, \frac{-5}{2}, 0, \frac{5}{2}, \ldots 11^{\text {th }}$ term is__________
View full question & answer→MCQ 251 Mark
If common difference of AP is 5 then $a_{18}-a_{13}=$_________
View full question & answer→MCQ 261 Mark
For an AP the possible value of $S _n-2 S _{n-1}+ S _{n-2}$ is _________
View full question & answer→MCQ 271 Mark
The sum of three consecutive terms in AP is 48 . The product of first and last term is $252$ . Find the common difference $d$.
View full question & answer→MCQ 281 Mark
If $S _1=2+4+\ldots+2 n$ and $S _2=1+3+5 \ldots+(2 n-1)$ then $S _1: S _2=$________
- ✓
$\frac{(n+1)}{n}$
- B
$\frac{n}{(n+1)}$
- C
$n^2$
- D
$n+1$
AnswerCorrect option: A. $\frac{(n+1)}{n}$
$\frac{(n+1)}{n}$
View full question & answer→MCQ 291 Mark
$2 k+1,13,5 k-3$ are consecutive terms of an AP then find $k$.
View full question & answer→MCQ 301 Mark
If $a_4=7, a_7=4$ then $a_{10}=$________
View full question & answer→MCQ 311 Mark
$1+2+3+\ldots .+(n-1)(1+1+1+1 \ldots+(n-1))$ terms
- ✓
$\frac{n(n-1)}{2}$
- B
$\frac{n(n+1)}{2}$
- C
$n$
- D
$n^2$
AnswerCorrect option: A. $\frac{n(n-1)}{2}$
$\frac{n(n-1)}{2}$
View full question & answer→MCQ 321 Mark
$(1)+(1+1)+(1+1+1)+\ldots . .+(1+1+1 \ldots+(n-1))$
- ✓
$\frac{n(n-1)}{2}$
- B
$\frac{n(n+1)}{2}$
- C
$n$
- D
$n^2$
AnswerCorrect option: A. $\frac{n(n-1)}{2}$
$\frac{n(n-1)}{2}$
View full question & answer→MCQ 331 Mark
For an AP $ 5, 7, 9, 11, 13, 15,$ sixth prime number is___________
View full question & answer→MCQ 341 Mark
For an AP value of $a_{18}-a_8$ is_________
AnswerCorrect option: B. $10 d$
$10 d$
View full question & answer→MCQ 351 Mark
For an AP if $a_{25}-a_{20}=15$ then $d=$ __________
View full question & answer→MCQ 361 Mark
Find the four numbers in AP whose sum is $72$ and in which the greatest number is twice the least.
- A
$4,8,12,16$
- ✓
$12, 16, 20, 24$
- C
$10,12,14,16$
- D
$2,4,6,8$
AnswerCorrect option: B. $12, 16, 20, 24$
$12, 16, 20, 24$
View full question & answer→MCQ 371 Mark
If $a=2$ and $d=4$ then find $S _{20}=$ ?
View full question & answer→MCQ 381 Mark
If $3+5+7+9+\ldots+$ up to $n$ terms $=288$ then find $n$.
View full question & answer→MCQ 391 Mark
If $S _n=2 n^2+3 n$ then find $d$.
(Hints : For $d$, do the product of coefficient of $2 n^2$ and its power.)
View full question & answer→MCQ 401 Mark
If $a_3=8$ and $a_7=24$ then find $a_{10}$.
View full question & answer→MCQ 411 Mark
Which of the following list of numbers does not form an AP ?
- A
$1,2,3,4, \ldots$
- B
$2,5,8,11, \ldots$
- ✓
$1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \ldots$
- D
$1, \frac{1}{2}, 0,-\frac{1}{2}, \ldots$
AnswerCorrect option: C. $1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \ldots$
$1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \ldots$
View full question & answer→MCQ 421 Mark
Which of the following list of numbers form an A. P.?
- A
$2,4,5,8$
- B
$3,5,7,11$
- ✓
$3.5,5,6.5,8, \ldots$
- D
$1,4,9,16, \ldots$
AnswerCorrect option: C. $3.5,5,6.5,8, \ldots$
$3.5,5,6.5,8, \ldots$
View full question & answer→MCQ 431 Mark
$a, a-2$ and $3 a$ are in A.P. then $a=$_______ .
View full question & answer→MCQ 441 Mark
$AP : 0.2,-0.3,-0.8, \ldots$ then $d d=$ _______
- A
$0.5$
- B
$0.4$
- C
$0.55$
- ✓
$-0.5$
AnswerCorrect option: D. $-0.5$
$-0.5$
View full question & answer→MCQ 451 Mark
The equation is _______ to find last term of A.P.
- A
$a_n=a+(n+1) d$
- B
$a_n=a-(n+1) d$
- ✓
$a_n=a+(n-1) d$
- D
$a_n=a-(n-1) d$
AnswerCorrect option: C. $a_n=a+(n-1) d$
$a_n=a+(n-1) d$
View full question & answer→MCQ 461 Mark
The $n^{\text {th }}$ term of AP is $(2 n+1)$ then sum of first $n$ terms is _______
- A
$n(n+1)$
- ✓
$n(n+2)$
- C
$(n-1) n$
- D
$(n-2) n$
AnswerCorrect option: B. $n(n+2)$
$n(n+2)$
View full question & answer→MCQ 471 Mark
Statement P: The sum of first n odd natural numbers is n2.
Statement Q: The sum of first n even natural numbers is n(n + 1).
- A
Statement P is correct and Q is incorrect.
- B
Statement Qis correct and P is incorrect.
- ✓
Both Statements P and Q are correct.
- D
Both Statements P and Q are incorrect.
AnswerCorrect option: C. Both Statements P and Q are correct.
View full question & answer→