Test Details

Arithmetic Progression

Feb 01, 8:00 PM

120 minutes

Feb 01, 11:00 PM

50.0 marks

MCQ

25 questions

vinayak sir

Hi good morning students सर्व विद्यार्थी सकाळी आठ ते अकरा या वेळेत येथे उपस्थित राहतील काही अडचणी असल्यास आपण विचारू शकता सर्व विषयाचे तास सुरू आहेत

Class Details

Mathematics

Class 10th NTS EXAM.

Mathematics

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Question Text

Question 1 :
<div><span>Check if the series is an A.P. Find the common difference $d$ and write three more terms of the the following series.</span><br/></div>$2,\displaystyle\frac{5}{2}$, $3,\displaystyle\frac{7}{2}, ...$

Question 2 :
The $4^{th}$ term of an AP is $14$ and its $12^{th}$ term is $70$. What is its first term?

Question 3 :
Find $15^{th}$ term of the A.P. : 2, 5, 8, ........

Question 4 :
Constant is subtracted from each term of an A.P. the resulting sequence is also an ______

Question 6 :
<span>Write the first three terms of the AP when a and d are as given below:</span><div><br/></div><div>$a=\sqrt{2}, d=\dfrac{1}{\sqrt{2}}$<br/>then first three terms are $\sqrt{2},\dfrac{3}{\sqrt{2}},\dfrac{4}{\sqrt{2}}$<br/></div>

Question 7 :
If a,b,c are distinct and the roots of (b-c) $x^{2}$ + (c-a) x + (a-b) = 0 are equal ,then a,b,c are in

Question 8 :
How many natural numbers between 200 and 400 are there which are divisible by<br>i Both 4 and 5?<br>ii 4 or 5 or 8 or 10?

Question 10 :
<span>State the following statement is True or False</span><div>Progression means increment of quantity in a particular pattern. Is the statement true or false?<br/></div>

Question 11 :
If $3 + 5 + 7 + 9 +$ ... upto $n$ terms $= 288$, then $n =$ ____

Question 13 :
Let $S_{n}$ denotes the sum of first $n$ terms of an AP. If $S_{4} = -34, S_{5} = -60$ and $S_{6} = -93$, then the common difference and the first term of the AP are respectively.

Question 16 :
Find the common difference, if $a_2 = 10$ and $a_5 = 20$.

Question 17 :
If $ \log_e 5 , \log_e ( 5^x - 1) $ and $ \log_e \left( 5^x - \dfrac {11}{5} \right) $ are in $AP,$ then the values of $x$ are :

Question 18 :
Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows $a = -1.25, d = -0.25.$

Question 20 :
<div><span>Say true or false.</span><br/></div>The amount of Rs $10,000$ with intrest of $5\%$ is paid in installments every month of $950, 900, 850, 800, ..... 50.$ The installments represents an $A.P.$

Question 21 :
The fourth term of an A.P. is $11$ and the eighth term exceeds twice the fourth term by $5$. Find the A.P. and the sum of first $50$ terms.

Question 22 :
Assertion: $1111.... 1$(up to $90$ terms) is a prime number. Reason: If $\displaystyle \frac {b+c-a}{a}, \frac {c+a-b}{b}, \frac {a+b-c}{c}$ are in $A.P.,$ then $\displaystyle \frac {1}{a}, \frac {1}{b}, \frac {1}{c}$ are also in $A.P.$

Question 23 :
The $8^{th}$ term of the sequence $1, 1, 2, 3, 5, 8, ....$ is

Question 25 :
If $s_{n}=n^{2}p+\displaystyle \frac{n(n-1)}{4}q$ be the sum to $'n'$ terms of an A.P., then the common difference of the A.P. is <br>

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