EXERCISE 5.2 11–20 — NCERT Solutions for Class 10 Mathematics Chapter 5

EXERCISE 5.2 11–20 (part 3 of 6)

Exercise 11
Which term of the AP : $\displaystyle 3$ , $\displaystyle 15$ , $\displaystyle 27$ , $\displaystyle 39$ , . . . will be $\displaystyle 132$ more than its 54th term?
NCERT’s answer
65th term
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Exercise 12
Two APs have the same common difference. The difference between their 100th terms is $\displaystyle 100$ , what is the difference between their 1000th terms?
NCERT’s answer
$\displaystyle 100$
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Exercise 13
How many three-digit numbers are divisible by $\displaystyle 7$ ?
NCERT’s answer
$\displaystyle 128$
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Exercise 14
How many multiples of $\displaystyle 4$ lie between $\displaystyle 10$ and $\displaystyle 250$ ?
NCERT’s answer
$\displaystyle 60$
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Exercise 15
For what value of $\displaystyle n$ , are the $\displaystyle n$ th terms of two APs: $\displaystyle 63,65,67, \ldots$ and $\displaystyle 3,10,17, \ldots$ equal?
NCERT’s answer
$\displaystyle 13$
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Exercise 16
Determine the AP whose third term is $\displaystyle 16$ and the 7th term exceeds the 5th term by 12.
NCERT’s answer
$\displaystyle 4$, $\displaystyle 10$, $\displaystyle 16$, $\displaystyle 22$,...
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Exercise 17
Find the 20th term from the last term of the AP : $\displaystyle 3$ , $\displaystyle 8$ , $\displaystyle 13$ , . . ., 253.
NCERT’s answer
20th term from the last term is 158.
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Exercise 18
The sum of the 4th and 8th terms of an AP is $\displaystyle 24$ and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.
NCERT’s answer
-$\displaystyle 13$, -$\displaystyle 8$, -$\displaystyle 3$
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Exercise 19
Subba Rao started work in $\displaystyle 1995$ at an annual salary of ₹ $\displaystyle 5000$ and received an increment of ₹ $\displaystyle 200$ each year. In which year did his income reach ₹ $\displaystyle 7000$ ?
NCERT’s answer
11th year
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Exercise 20
Ramkali saved ₹ $\displaystyle 5$ in the first week of a year and then increased her weekly savings by ₹ $\displaystyle 1.75$ . If in the $\displaystyle n$ th week, her weekly savings become ₹ $\displaystyle 20.75$ , find $\displaystyle n$ .
NCERT’s answer
$\displaystyle 10$
Working being prepared

EXERCISE 5.2 11–20 (part 3 of 6)

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20