CDS MATHEMATICS NUMBER SYSTEM QUIZ 16

Question 1:

A piece of equipment cost a certain factory Rs. 700,000 . If it depreciates in value, $15 \%$ the first year, $13.5 \%$ the next year, $12 \%$ the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

$200000$

$122500$.

$105000$

$150000$

Question 2:

What is the sum of the following series

$-58,-60,-62, \ldots \ldots,-100$

$-1580$

$-1468$

$-1738$

$-1664$

Question 3:

How many terms of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3?

305

300

324

302

Question 4:

What is the sum of the first 22 terms of an arithmetic progression if the first term is $-10$ and last term is 36 ?

168

256

142

286

Question 5:

The sum of fourth and sixth term of an A.P is10 . Find the sum of the first 5 terms of the progression.

25

30

42

50

Question 6:

Given $P=2^{56}$ and $Q=\left(2^{0}+2^{1}+2^{2}+\cdots+2^{55}\right)$

$Q$ is $2^{55}$, larger than $P$

$P$ and $Q$ are equal

$Q$ is larger than ,$P$ by 1

$P$ is larger than $Q$ by 1

Question 7:

The sum of all positive integers up to 2000 , which are divisible by 5 and not divisible by 2 .

200100

100100

200200

200000

Question 8:

If 5 times the sixth term of an Arithmetic Progression (AP) is equal to 6 times its eleventh term, then the 36 th term of the AP will be

1

0

2

$-1$

Question 9:

The sum of three numbers in A.P. is 27 , and their product is 504 then find fifth terms of an AP.

28

48

36

54

Question 10:

If the Arithmetic mean of $8,6,13,10, x$ and $10$ is $12$, then the value of $x$ is.

10

12

14

16