Recent questions tagged number-series
GATE2010 TF: GA-7
Consider the series $\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{8}+\frac{1}{9}-\frac{1}{16}+\frac{1}{32}+\frac{1}{27}-\frac{1}{64}+\ldots.$ The sum of the infinite series above is$:$ $\infty$ $\frac{5}{6}$ $\frac{1}{2}$ $0$
asked May 14, 2019 in Numerical Ability by Lakshman Patel RJIT Veteran (58.7k points) | 133 views
general-aptitude
numerical-ability
gate2010-tf
number-series
MadeEasy Workbook: General Aptitude - Number Series
Let $T$ be the set of integers $\{3,11,19,27, ..... , 451, 459, 467\}$ and $S$ be a subset of $T$ such that the sum of no two elements of $S$ is $470$. The maximum possible number of elements in $S$ is ? $31$ $28$ $29$ $30$ Answer is given as c. 29. But as per my calculations the answer has to be d.30. Let me know if my answer is correct.
asked Apr 29, 2018 in Numerical Ability by NithinBiliya (25 points) | 196 views
made-easy-booklet
ISI-2014-06
The sum of an infinite geometric series of real numbers is $14$, and the sum of the cubes of the terms of this series is $392$. Then the first term of the series is $-14$ $10$ $7$ $-5$
asked Mar 17, 2018 in Mathematical Logic by jjayantamahata Active (1.5k points) | 113 views
GATE2018 EC: GA-4
What is the value of $1 + \dfrac{1}{4} + \dfrac{1}{16} + \dfrac{1}{64} + \dfrac{1}{256} + .............?$ $2$ $\dfrac{7}{4}$ $\dfrac{3}{2}$ $\dfrac{4}{3}$
asked Feb 21, 2018 in Numerical Ability by Lakshman Patel RJIT Veteran (58.7k points) | 300 views
gate2018-ec
geometric-series
GATE2018 CE-1: GA-9
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \frac{1}{n}-\frac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first 50 terms? $\left( 1+ \frac{1}{2} \right) - \frac{1}{50}$ $\left( 1+ \frac{1}{2} \right) + \frac{1}{50}$ ... $1 - \left( \frac{1}{51} + \frac{1}{52} \right)$
asked Feb 17, 2018 in Numerical Ability by gatecse Boss (17.5k points) | 101 views
gate2018-ce-1
value of 1/3 + 1/15 + 1/35 +............................+1/9999 a)100/101 b)50/101 c)100/51 d)50/51
asked Sep 12, 2017 in Numerical Ability by A_i_$_h Boss (10.2k points) | 445 views
Next number in series
196 : 169 : 81 : ? (a) 64 (b) 72 (c) 100 (d) None Is a option correct here or do we need to look at the the square root of them for some other relation 14,13,9 .If none was not there i would have selected a only.
asked Jul 20, 2017 in Numerical Ability by rahul sharma 5 Boss (25.6k points) | 338 views
Find next number in series? 15,10,5,150,16,12,4,192,20,15,5,....?
MadeEasy Subject Test: General Aptitude - Number Series
asked Jan 11, 2017 in Numerical Ability by Arnabi Loyal (8k points) | 122 views
made-easy-test-series
Series expansion
If m and n are whole numbers and $m^{n} = 125$ then the value of $(m-5)^{n+1}=?$
asked Nov 11, 2016 in Linear Algebra by Rakesh K Active (1.8k points) | 119 views
engineering-mathematics
What will be the next Number?
0, 11, 36, 81, ____?
asked Apr 19, 2016 in Verbal Ability by shivani2010 Junior (545 points) | 237 views
GATE2014 EC-2: GA-5
Fill in the missing number in the series. $2$ $3$ $6$ $15$ ___ $157.5$ $630$
asked Mar 18, 2016 in Numerical Ability by makhdoom ghaya Boss (30.7k points) | 360 views
gate2014-ec-2
numerical-answers
What is the next number in the series? $12$ $35$ $81$ $173$ $357$ _______.
Find the next term in the sequence: $7G, 11K, 13M$, _________. $15Q$ $17Q$ $15P$ $17P$
asked Mar 8, 2016 in Numerical Ability by makhdoom ghaya Boss (30.7k points) | 428 views
logical-reasoning
The next term in the series $81, 54, 36, 24,\dots $ is_________.
GATE2013 EE: GA-10
Find the sum to $'n'$ terms of the series $10+84+734+\dots$ $\frac{9(9^n+1)}{10} +1$ $\frac{9(9^n-1)}{8} +1$ $\frac{9(9^n-1)}{8} +n$ $\frac{9(9^n-1)}{8} +n^2$
asked Feb 16, 2016 in Numerical Ability by Akash Kanase Boss (41.9k points) | 1.2k views
gate2013-ee
TIFR2015-A-3
Let $|z| < 1$. Define $M_{n}(z)= \sum_{i=1}^{10} z^{10^{n}(i - 1)}?$ what is $\prod_{i=0}^{\infty} M_{i}(z)= M_{0}(z)\times M_{1}(z) \times M_{2}(z) \times ...?$ Can't be determined. $1/ (1 - z)$ $1/ (1 + z)$ $1 - z^{9}$ None of the above.
asked Dec 2, 2015 in Numerical Ability by makhdoom ghaya Boss (30.7k points) | 256 views
tifr2015
numerical-computation
Consider a sequence of non-negative numbers ${x_{n} : n = 1, 2, . . .}$. Which of the following statements cannot be true? $\sum ^{\infty }_{n=1} x_{n}= \infty $ and $\sum ^{\infty }_{n=1} x_{n}^{2}= \infty$. $\sum ^{\infty }_{n=1} x_{n}= \infty $ ... $\sum ^{\infty }_{n=1} x_{n} < \infty $ and $\sum ^{\infty }_{n=1} x_{n}^{2}= \infty$.
asked Nov 9, 2015 in Numerical Ability by makhdoom ghaya Boss (30.7k points) | 211 views
TIFR2013-A-15
Let $\DeclareMathOperator{S}{sgn} \S (x)= \begin{cases} +1 & \text{if } x \geq 0 \\ -1 & \text{if } x < 0 \end{cases}$ What is the value of the following summation? $\sum_{i=0}^{50} \S \left ( (2i - 1) (2i - 3) \dots (2i - 99) \right)$ $0$ $-1$ $+1$ $25$ $50$
Find the sum of the infinite series $\dfrac{1}{1\times 3 \times 5} + \dfrac{1}{3\times 5\times 7} + \dfrac{1}{5\times 7 \times 9} + \dfrac{1}{7\times 9 \times 11} + ......$ $\;\;\infty $ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{12}\right)$ $\left(\dfrac{1}{14}\right)$
The sum of the first $n$ terms of the series $1, 11, 111, 1111,\dots,$ is. $\frac{1}{81}\left ( 10^{n+1}-9n-10 \right )$ $\frac{1}{81}\left ( 10^{n}-9n \right )$ $\frac{1}{9}\left ( 10^{n+1}-1\right )$ $\frac{1}{9}\left ( 10^{n+1}-n10^{n}\right )$ None of the above.
asked Oct 17, 2015 in Numerical Ability by makhdoom ghaya Boss (30.7k points) | 284 views
TIFR2010-Maths-A-11
The series $\sum ^{\infty }_{n=1}\frac{(-1)^{n+1}}{\sqrt{n}}$ Converges but not absolutely. Converges absolutely. Diverges. None of the above.
asked Oct 11, 2015 in Numerical Ability by Arjun Veteran (430k points) | 152 views
tifrmaths2010
TIFR2010-Maths-A-4
The sum of the series $\frac{1}{1 \cdot 2}+ \frac{1}{2 \cdot 3}+ \frac{1}{3 \cdot 4} + \dots +\frac{1}{100 \cdot 101}$ $\frac{99}{101}$ $\frac{98}{101}$ $\frac{99}{100}$ None of the above.
asked Oct 11, 2015 in Set Theory & Algebra by makhdoom ghaya Boss (30.7k points) | 282 views
Series Convergence
I'm having hard time understanding how following series converges ; 1 + 2/5 + 3/5^2 + 4/5^3 + 5/5^4 + ............ infinity
asked Aug 22, 2015 in Linear Algebra by vishal8492 Junior (611 points) | 152 views
GATE2014-3-GA-4
Which number does not belong in the series below? $\qquad2, 5, 10, 17, 26, 37, 50, 64$ $17$ $37$ $64$ $26$
asked Sep 28, 2014 in Numerical Ability by jothee Veteran (105k points) | 932 views
gate2014-3
The value of $\sqrt{12+\sqrt{12+\sqrt{12+\dots}}} $is $3.464$ $3.932$ $4.000$ $4.444$
GATE2013-61
Find the sum of the expression $\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+............+\frac{1}{\sqrt{80}+\sqrt{81}}$ $7$ $8$ $9$ $10$
asked Sep 24, 2014 in Numerical Ability by Arjun Veteran (430k points) | 1.8k views
gate2013