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Recent questions in Class11
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JEEMAIN and NEET
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Mathematics
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Class11
Class11
Sets
Relations and Functions
Trigonometric Functions
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Permutations and Combinations
Bionomial Theorem and Simple Applications
Sequence and Series
Coordinate Geometry: Straight Lines
Coordinate Geometry: Conic Sections
Coordinate Geometry
3-D Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q9
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q9
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
Sum of $n$ terms of series $S$ = $1$ + $2 \;(1+\frac{1}{n})$ + $3(1+\frac{1}{n})^2$ + ....is given by
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q110
asked
Jan 20, 2014
by
yamini.v
1
answer
For $0\;<\;x\;<\;\pi$, the values of x which satisfies $1+|cos\;x|+|cos\;x|^2+|cos\;x|^3+$....$\infty$ = $2^4$ are
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q109
asked
Jan 20, 2014
by
yamini.v
1
answer
If $f\;(x)$ is a two degree polynomial such that $f\;(3)=f\;(-3)$ and $a, b, c$ are in $AP$, then $f'(a)$, $f'(b)$ and $f'(c)$ are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q108
asked
Jan 20, 2014
by
yamini.v
1
answer
If $\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+$......upto $\infty$ = $\frac{\phi^2}{g}$, then $\frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+$.....upto $\infty$ will be
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q107
asked
Jan 20, 2014
by
yamini.v
1
answer
If $S_{n}=\frac{1}{6}\;n\;(2n^2+9n+13)\;$, then $\sum_{r=1}^n\;\sqrt{a_{r}}\;$ equals.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q106
asked
Jan 20, 2014
by
yamini.v
1
answer
Sum of series $\;\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+.....\;is:$
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q105
asked
Jan 20, 2014
by
yamini.v
1
answer
If $f\;(xy)=f\;(x+y)\;\forall\;x,y\;\in\;R$ and $\;f\;(2009)=2009$, then $f\;(-2009)$ equals
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q104
asked
Jan 20, 2014
by
yamini.v
1
answer
Sum of n terms of series $\;\frac{1}{1^3}\;+\frac{1+2}{1^3+2^3}\;+\frac{1+2+3}{1^3+2^3+3^3}\;+....\;is$
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q103
asked
Jan 20, 2014
by
yamini.v
1
answer
If x, y, z > 1 are in GP, then $\frac{1}{1+lnx}$, $\frac{1}{lny}$, $\frac{1}{lnz}$ are in
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q102
asked
Jan 20, 2014
by
yamini.v
1
answer
If in an AP , $\;m^{th}$ term is $\;\frac{1}{n}$ and $\;n^{th}\;term\;is\frac{1}{m}$ , then $\;mn^{th}$ term is :
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q101
asked
Jan 20, 2014
by
yamini.v
1
answer
Let $S_{1}, S_{2}$....be the squares such that for each $n\geq\;1$, the length of side of $S_{n}$ = length of diagonal of $S_{n+1}$. If side of $S_{1}$ is 20 cm, the smallest value of n such that area of $S_{n}\;<\;2$ is
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q100
asked
Jan 20, 2014
by
yamini.v
1
answer
If $a, b, c$ are in AP and $a^2$, $b^2$, $c^2$ in GP, and $a+b+c=\frac{3}{2}$, then value of $c$ is
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q99
asked
Jan 20, 2014
by
yamini.v
1
answer
If $(1+3+5+....+p)$+$(1+3+5+....+q)$ = the smallest value of $p+q+r, (p>6)$ is
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q98
asked
Jan 20, 2014
by
yamini.v
1
answer
Sum of series $S$ = $\frac{1}{2}$+$\frac{1}{3}\;(1+2)$+$\frac{1}{4}\;(1+2+3)$+$\frac{1}{5}\;(1+2+3+4)$+......upto 20 terms is
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q97
asked
Jan 20, 2014
by
yamini.v
1
answer
Sum of series $1^2$-$2^2$+$3^2$-$4^2$+$5^2$+.....+$1001^2$ is
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q96
asked
Jan 20, 2014
by
yamini.v
1
answer
If the $\;10^{th}\;$ term of a $GP$ is $9$ and the $\;4^{th}\;$ term is $4$, then the $\;7^{th} \;$term is
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q95
asked
Jan 19, 2014
by
yamini.v
1
answer
In an AP, the $\; 4^{th}\;$ term is $36$. The$\; 21^{st}\;$ term is $108$ more than the $\;9^{th}\;$ term. What is the first term a and the common difference $d$?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q94
asked
Jan 19, 2014
by
yamini.v
1
answer
Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q8
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
Which statement is logically equivalent to "If Yoda cannot use a lightsaber, then he cannot help Luke win the battle."
jeemain
math
mathematical-reasoning
class11
ch14
easy
logical-operations-(and-or)
q7
mock
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
"If Tom buys a red skateboard, then Amanda buys green in-line skates." Which statement below is logically equivalent?
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q6
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
Mary says "The number I am thinking is divisible by 2 or it is divisible by 3". This statement is false if the number Mary is thinking of is
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q5
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
The statement "If x is divisible by 8, then it is divisible by 6" is false if x equals
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q4
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
Which of the following options indicate the correct contrapositive and converse respectively of the Statement- “Something is cold implies that it has cold temperature.”
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q3
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
Given the following statement: Some pins are clips. Some clips are pens. Now, consider the claims: C1 :Some pins are pens and C2: No pin is a pen. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.
class12
jeemain
math
mathematical-reasoning
unit14
easy
q25
asked
Jan 18, 2014
by
balaji.thirumalai
1
answer
Which of the following options indicate the correct contrapositive and converse respectively of the Statement: If x is a prime number, then x is odd.
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q2
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
The sum of 0.2, 0.22, 0.222, 0.2222.....till n terms is given by
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q93
asked
Jan 18, 2014
by
yamini.v
2
answers
Which of the following statements do not convey the same meaning as the statement-A “If a natural number is odd, then its square is also odd.”
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q1
asked
Jan 18, 2014
by
thanvigandhi_1
1
answer
The sum of $n$ terms of an arithmetic progression is $\;n\;(2n-1)$. What is the $m^{th}$ term of the series?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q92
asked
Jan 18, 2014
by
yamini.v
1
answer
If a, g and h are the AM, GM and HM respectively of two positive numbers x and y, then identify the correct statement.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q91
asked
Jan 18, 2014
by
yamini.v
1
answer
The sum of n terms of two APs is in the ratio$\; 5n + 1: 4n+10$. Find the ratio of their $\;5^{th}$ terms.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q90
asked
Jan 18, 2014
by
yamini.v
1
answer
The number of terms in the AP a, b,....c is
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q89
asked
Jan 17, 2014
by
yamini.v
1
answer
A train travels from A to B at speed of x km/hour and from B to A at speed of y km/hour. The average speed of the train from A to B and back to A, would be calculated by the
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q88
asked
Jan 17, 2014
by
yamini.v
1
answer
If three numbers are in GP, then their logarithms will be in
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q87
asked
Jan 17, 2014
by
yamini.v
1
answer
The sum of three decreasing numbers in AP is 27. If -1, -1, and 3 are added to them respectively the resulting series is in GP. The numbers are
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q86
asked
Jan 17, 2014
by
yamini.v
1
answer
The $n^{th}$ term of series is $\frac{1}{1}$, $\frac{(1+2)}{2}$, $\frac{(1+2+3)}{3}$......is
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q85
asked
Jan 17, 2014
by
yamini.v
1
answer
What is the contrapositive of the statement: If it rains, then I stay at home.
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q24
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Identify the quantifier in the sentence There exists a kingdom for every king in India.
jeemain
math
mathematical-reasoning
class11
ch14
easy
implications-(tautology-contradiction.)
q23
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Identify the quantifier in the sentence: There exists a number which is equal to its square.
jeemain
math
mathematical-reasoning
class11
unit14
easy
implications-(tautology-contradiction.)
q22
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which is true?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q21
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which is false?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q20
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement: 2 is the only even prime number?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q19
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which is a false statement?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q18
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement: 6 is irrational?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q17
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement: Opposite sides of a rectangle have same length?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q16
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement: Jaipur is a city?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q15
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following is not a statement?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q14
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following is not a statement?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q13
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following is a statement?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q12
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
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