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# Test: Word Problems of AP

## 10 Questions MCQ Test Mathematics (Maths) Class 10 | Test: Word Problems of AP

Description
This mock test of Test: Word Problems of AP for Class 10 helps you for every Class 10 entrance exam. This contains 10 Multiple Choice Questions for Class 10 Test: Word Problems of AP (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Word Problems of AP quiz give you a good mix of easy questions and tough questions. Class 10 students definitely take this Test: Word Problems of AP exercise for a better result in the exam. You can find other Test: Word Problems of AP extra questions, long questions & short questions for Class 10 on EduRev as well by searching above.
QUESTION: 1

### If sum of n terms is given by Sn = 3n2 + 5n, then the common difference of this AP is:

Solution:

We know S1is the sum of 1st term which is a
S= 3 + 5 = 8 = a
S2 is sum of first two terms
S2=3 * 4 + 5 * 2 = 12 + 10 = 22
And We have a2= S2 - S1 = 22 - 8 = 14
d = a-a= 14 - 8 = 6

QUESTION: 2

Solution:
QUESTION: 3

### An athlete wants to improve his stamina, so he decides to increase the distance he runs by half a kilometer every day. If he starts with 5 km on first day, find how much he runs on the 10 th day

Solution:

Distance increased every day is the common difference for the AP which is 0.5
Initial distance is 5 km , so a=5
To find the distance at 10th day, so n=10
l=a+(n-1)d
=5+(10-1)0.5
=5+4.5=9.5km

QUESTION: 4

A tree in each year grows 4cm less than it grew in previous year. If it grew 1 metre in the first year, in how many years will it have ceased growing and what will be its height then,​

Solution:

One metre = 100 cm, a = 100 cm

since every year it grows 4 cm less than it did the preceding year, d = -4

Thus, it is an AP, with initial term a = 100 and d = -4

The tree will stop its growth, when nth term of the series is 0.

Nth term = a + (n - 1)d

0 = 100 + (n - 1)(-4)

0 = 100 - 4n + 4

0 = 104 -4n

4n = 104

n = 104/4

n = 26 years

QUESTION: 5

If Ss = 32, S4 = 28 ~~ What is t=?

Solution:
QUESTION: 6

How many terms are there in 20, 25, 30......... 140

Solution:
QUESTION: 7

Which term of the A.P 10,8,6,… will be the first negative term?

Solution:
QUESTION: 8

Find the sum of first 40 integers divisible by 6​

Solution:
QUESTION: 9

During the festival season , a girl wants to prepare a design at the entrance to her house. The pattern is such that starting with one dot she wants to go on increasing the number of dots by 3 every time. In which row will she have 55 dots?

Solution:
QUESTION: 10

Find the fifth term of an A.P whose first term is -1 and common difference is -3

Solution: