User R K

21 votes

1 answer

598 views

(Unsolved) In this infinite sequence, no term is a prime: prove/disprove.

number-theory prime-numbers

asked Feb 21, 2015 at 23:14

18 votes

5 answers

6k views

Which of the following is not a prime number?

number-theory prime-numbers

asked Jan 20, 2016 at 6:21

9 votes

5 answers

2k views

In how many ways can a selection be done of $5$ letters?

combinatorics permutations combinations

asked Sep 12, 2015 at 8:37

8 votes

2 answers

2k views

Find the number of sets of $(a,b,c)$ for $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{29}{72}$

algebra-precalculus number-theory quadratics

asked Jul 19, 2015 at 18:28

8 votes

2 answers

216 views

Checking logarithm inequality.

algebra-precalculus inequality logarithms

asked Jul 26, 2015 at 22:58

8 votes

4 answers

12k views

Find the number of positive integers solutions of the equation $3x+2y=37$

elementary-number-theory diophantine-equations linear-diophantine-equations

asked Jun 4, 2015 at 18:14

7 votes

8 answers

341 views

Calculate $\ln 97$ and $\log_{10} 97$

algebra-precalculus logarithms

asked Jul 24, 2015 at 13:36

6 votes

4 answers

9k views

Find the number of possible solutions in $x+y+z=30$ under conditions.

combinatorics permutations combinations

asked Sep 7, 2015 at 7:26

6 votes

1 answer

111 views

In how many ways can '$6$' things be distributed equally among $2$ groups?

combinatorics permutations combinations

asked Sep 12, 2015 at 1:23

6 votes

3 answers

4k views

Find the next term in the sequence. $\frac{7}{3},\frac{35}{6},\frac{121}{12},\frac{335}{36},\ldots $

sequences-and-series puzzle

asked Mar 4, 2015 at 17:44

5 votes

3 answers

4k views

Find the $2000^{th}$ digit of the series $1234567891011121314\cdots $

sequences-and-series combinatorics number-theory

asked Mar 3, 2015 at 19:58

5 votes

6 answers

2k views

Find the minimum value of $\sin^{2} \theta +\cos^{2} \theta+\sec^{2} \theta+\csc^{2} \theta+\tan^{2} \theta+\cot^{2} \theta$

trigonometry

asked Jan 20, 2016 at 22:38

4 votes

1 answer

695 views

Find the maximum number of people who participated in exactly three games?

combinatorics

asked Feb 4, 2016 at 10:40

4 votes

0 answers

31 views

Confusion regarding direct and indirect propotion.

algebra-precalculus ratio

asked Feb 19, 2016 at 19:35

4 votes

2 answers

5k views

Forming a committee from $4$ gentlemen and $4$ ladies with certain conditions

combinatorics permutations combinations

asked Sep 11, 2015 at 5:23

4 votes

2 answers

903 views

Find the number of natural number solutions of $a+2b+c=100$

combinatorics number-theory combinations

asked Aug 22, 2015 at 20:46

4 votes

1 answer

8k views

One clock gains, another clock loses time. When will both clocks next show the same time?

algebra-precalculus

asked Mar 12, 2015 at 17:57

4 votes

5 answers

409 views

The value of the logarithmic expression can never be $\ldots$

algebra-precalculus logarithms

asked Mar 5, 2015 at 21:20

4 votes

2 answers

5k views

Time speed and distance.

algebra-precalculus arithmetic

asked Mar 6, 2015 at 15:17

4 votes

6 answers

6k views

Find the values of $\sin 69^{\circ},\sin 18^{\circ} , \tan 23^{\circ}$

trigonometry

asked Apr 20, 2015 at 13:33

4 votes

2 answers

47 views

State if it is a function or relation .

discrete-mathematics

asked May 31, 2015 at 23:41

4 votes

4 answers

2k views

The number of non-negative real roots of $2^{x}-x-1$ are

algebra-precalculus

asked Jun 21, 2015 at 14:43

4 votes

4 answers

4k views

What will be the equation of side $BC$.

geometry coordinate-systems

asked May 25, 2015 at 20:40

4 votes

3 answers

811 views

Find the relationship between $a$ and $b$.

geometry coordinate-systems

asked May 26, 2015 at 17:51

4 votes

1 answer

2k views

If $x=(9+4\sqrt{5})^{48}=[x]+f$ . Find $x(1-f)$.

algebra-precalculus radicals

asked Jun 28, 2015 at 18:29

4 votes

2 answers

15k views

Solve $x^2-|5x-3|-x<2,\ \ x\in \mathbb{R} $

algebra-precalculus inequality quadratics absolute-value

asked Jun 30, 2015 at 15:26

4 votes

2 answers

2k views

Find the value of $2xy$ .

algebra-precalculus number-theory linear-diophantine-equations

asked Jul 18, 2015 at 14:27

3 votes

5 answers

132 views

Solve $2^{a+3}=4^{a+2}-48,\ a\in \mathbb{R}$

algebra-precalculus quadratics

asked Jul 18, 2015 at 18:01

3 votes

3 answers

6k views

solve $|x-6|>|x^2-5x+9|$

algebra-precalculus inequality quadratics absolute-value

asked Jul 1, 2015 at 16:55

3 votes

2 answers

6k views

Find the equation of line in new co-ordinate system.

geometry coordinate-systems

asked May 26, 2015 at 23:52

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141 Questions

(Unsolved) In this infinite sequence, no term is a prime: prove/disprove.

Which of the following is not a prime number?

In how many ways can a selection be done of $5$ letters?

Find the number of sets of $(a,b,c)$ for $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{29}{72}$

Checking logarithm inequality.

Find the number of positive integers solutions of the equation $3x+2y=37$

Calculate $\ln 97$ and $\log_{10} 97$

Find the number of possible solutions in $x+y+z=30$ under conditions.

In how many ways can '$6$' things be distributed equally among $2$ groups?

Find the next term in the sequence. $\frac{7}{3},\frac{35}{6},\frac{121}{12},\frac{335}{36},\ldots $

Find the $2000^{th}$ digit of the series $1234567891011121314\cdots $

Find the minimum value of $\sin^{2} \theta +\cos^{2} \theta+\sec^{2} \theta+\csc^{2} \theta+\tan^{2} \theta+\cot^{2} \theta$

Find the maximum number of people who participated in exactly three games?

Confusion regarding direct and indirect propotion.

Forming a committee from $4$ gentlemen and $4$ ladies with certain conditions

Find the number of natural number solutions of $a+2b+c=100$

One clock gains, another clock loses time. When will both clocks next show the same time?

The value of the logarithmic expression can never be $\ldots$

Time speed and distance.

Find the values of $\sin 69^{\circ},\sin 18^{\circ} , \tan 23^{\circ}$

State if it is a function or relation .

The number of non-negative real roots of $2^{x}-x-1$ are

What will be the equation of side $BC$.

Find the relationship between $a$ and $b$.

If $x=(9+4\sqrt{5})^{48}=[x]+f$ . Find $x(1-f)$.

Solve $x^2-|5x-3|-x<2,\ \ x\in \mathbb{R} $

Find the value of $2xy$ .

Solve $2^{a+3}=4^{a+2}-48,\ a\in \mathbb{R}$

solve $|x-6|>|x^2-5x+9|$

Find the equation of line in new co-ordinate system.