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The sentence "____ if and only if $x + x = 3x$ " is TRUE. Which of the following could be used to fill in the blank?

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?

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

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

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

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

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.

asked Jan 20, 2014 by yamini.v

1 answer

Sum of series $\;\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+.....\;is:$

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

asked Jan 20, 2014 by yamini.v

1 answer

Sum of n terms of series $\;\frac{1}{1^3}\;+\frac{1+2}{1^3+2^3}\;+\frac{1+2+3}{1^3+2^3+3^3}\;+....\;is$

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

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 :

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

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

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

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

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

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

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 $d$ ?

asked Jan 19, 2014 by yamini.v

1 answer

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

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."

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?

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

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

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.”

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.

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.

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

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.”

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?

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.

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.

asked Jan 18, 2014 by yamini.v

1 answer

The number of terms in the AP a, b,....c is

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

asked Jan 17, 2014 by yamini.v

1 answer

If three numbers are in GP, then their logarithms will be in

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

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

asked Jan 17, 2014 by yamini.v

1 answer

What is the contrapositive of the statement: If it rains, then I stay at home.

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Identify the quantifier in the sentence There exists a kingdom for every king in India.

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.

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Which is true?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Which is false?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement: 2 is the only even prime number?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Which is a false statement?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement: 6 is irrational?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement: Opposite sides of a rectangle have same length?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement: Jaipur is a city?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Which of the following is not a statement?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Which of the following is not a statement?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Which of the following is a statement?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

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