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Recent questions tagged goclasses2024_wq1

4 votes

3 answers

1

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 8
Let $k$ be some integer and it is given that $a \equiv b(\bmod n)$ then which of the following(s) is/are ALWAYS true? More than one option can be true. $a \equiv b-3 n(\bmod n)$ $a \equiv b+k(\bmod n)$ $a+k \equiv b+k(\bmod n)$ $a+5 n \equiv b-3 n(\bmod n)$

GO Classes asked in Quantitative Aptitude Mar 1

285 views

3 votes

2 answers

2

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 9
Which of the following(s) ALWAYS hold given that $a \equiv b(\bmod n)$ is true for some integers $a, b$ and $n.$ More than one option can be true. $a \bmod n=b \bmod n$ $n \mid(a-b)$ $n \mid a$ $n \mid b$

GO Classes asked in Quantitative Aptitude Mar 1

240 views

1 vote

2 answers

3

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 10
Which of the following options is/are TRUE? $43 \equiv-2(\bmod 5)$ $5 \equiv-7(\bmod 3)$ $-10 \equiv-25(\bmod 7)$ $8 \equiv-8(\bmod 5)$

GO Classes asked in Quantitative Aptitude Mar 1

208 views

8 votes

5 answers

4

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 1
Let $\text{S} =\displaystyle \sum_{i=1}^n f(x_i), \text{A}=\displaystyle\sum_{i=1}^{a} f(x_i)$ and $\text{B}=\displaystyle \sum_{i=a}^n f(x_i)$ ... $\text{S}=\displaystyle \sum_{i=1}^{a-1} f(x_i)+ \text{B}$ $\text{S = A + B}-f(x_a)$

GO Classes asked in Quantitative Aptitude May 1, 2022

1.1k views

6 votes

2 answers

5

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 2
Evaluate: $1+(1+b)r+(1+b+b^2)r^2+\dots$ to infinite terms for $|br|< 1$. $\frac{1}{(1-br)(1-r)}$ $\frac{1}{(1-r)(1-b)}$ $\frac{1}{(1-b)(b-r)}$ None of these

GO Classes asked in Quantitative Aptitude May 1, 2022

493 views

5 votes

1 answer

6

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 3
Evaluate $1+2x+3x^2+4x^3+\dots$ upto infinity, where $|x|<1$. $\frac{1}{(1-x)^2}$ $\frac{x}{(1-x)^2}$ $\frac{x^2}{(1-x)^2}$ $1-\frac{1}{(1-x)^2}$

GO Classes asked in Quantitative Aptitude May 1, 2022

377 views

4 votes

2 answers

7

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 4
Find the sum of first $24$ terms of the $\text{A.P.}\;a_1,\;a_2,\;a_3,\;\dots$ if it is known that $a_1+a_5+a_{10}+a_{15}+a_{20}+a_{24}=225$

GO Classes asked in Quantitative Aptitude May 1, 2022

500 views

7 votes

1 answer

8

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 5
If $\text{S}$ is the sum to infinity of a $\text{G.P.}$ whose first term is $'a'$, then the sum of the first $n$ terms is $\text{S}\left(1-\dfrac{a}{\text{S}}\right)^n$ ... $\text{S}\left[1-\left(1-\dfrac{\text{S}}{a}\right)^n\right]$

GO Classes asked in Quantitative Aptitude May 1, 2022

373 views

9 votes

2 answers

9

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 7
If the sum of $p$ terms of an $\text{A.P.}$ is $q$ and the sum of $q$ terms is $p$, then the sum of $p+q$ terms is _________. $0$ $p-q$ $p+q$ $-(p+q)$

GO Classes asked in Quantitative Aptitude May 1, 2022

595 views

5 votes

2 answers

10

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 6
If the sum of an infinitely decreasing $\text{GP}$ is $3,$ and the sum of the squares of its terms is $9/2,$ the sum of the cubes of the terms is _________ $\frac{105}{13}$ $\frac{108}{13}$ $\frac{729}{8}$ None of these

GO Classes asked in Quantitative Aptitude May 1, 2022

508 views

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Recent questions tagged goclasses2024_wq1