Last Two Digits of a Number

Q.

Insert the missing number:
4, 9, 20, 43, 90, ___

1. 185
2. 172
3. 179
4. 165
5. None of the above

Q. Fill in the missing number:
5, 13, 25, 41, ?, 85, 113, 145

1. 63
2. 61
3. 42
4. 64
5. None of the above

Q.

Write down the division facts for the following multiplication facts:

$127\times 3=381$

Q.

The last digit of the number ${32}^{32}$ is

1. $4$

2. $6$

3. $8$

4. None of these

Q. How many different numbers of 6 digits can be formed with the numbers 3, 1, 7, 0, 9, 5?

1. None of these
2. 500
3. 400
4. 300
5. 600

Q.

The number of mobile phones sold of Company A during July is approximately what per cent of the number of mobile phones sold of Company A during December?

1. 105

2. 110

3. 140

4. 150

5. 130

Q. $4\frac{1}{5}\times 3\frac{1}{3}+?=20\%of120$

1. $10$
2. $Noneofthese$
3. $5$
4. $10\frac{1}{15}$
5. $15$

Q.

What will come in place of the question mark (?) in each of the following series?

7, 21, 105, 735, ?, 72765

1. 50

2. 44

3. 49

4. None of these

5. 47

Q. The number of different 6 - digit numbers that are divisible by 10, which can be formed using the digits 1, 2, 7, 0, 9, 5?

1. 100
2. 120
3. 140
4. 160
5. None of these

Q. What are the last two digits of ${475}^{23}$?

1. 85
2. 25
3. 75
4. 50

Q.

A fruit seller has a crate of apples containing 2 bruised apple for every 40 apples in the crate. If 3 out of every 5 bruised apples are not considered suitable for sale and there are 9 apples that aren't fit to be sold in the crate, then how many apples are there in total?

1. 300

2. 15

3. 600

4. None of these

5. 150

Q. What will come in place of the question mark (?) in each of the following series?

16, 25, 44, 83, 162, ?

1. 301
2. 321
3. 282
4. 317
5. 250

Q.

The difference between a two digit number and the number formed by reversing it is 70. Then the difference between the two digits of the number is.

1. 4

2. 1

3. 6

4. 2

5. None of these

Q. What is the second last digit of ${2564}^{345}$ ?

1. None of these
2. 8
3. 4
4. 0
5. 2

Q. What will come in place of the question mark (?) in each of the following series?

7, 10.5, 21, 52.5, 157.5, ?

1. 340.75
2. 495.5
3. 551.25
4. 427.25
5. 339

Q. A merchant on selling rice earns a profit of Rs.$10$ per bag of basmati rice sold and a loss of Rs. $5$ per bag of non-basmati rice.
(i) He sells $3,000$ bags of basmati rice and $5,000$ bags of non-basmati rice in a month. What is his profit or loss in a month
(ii) What is the number of basmati rice bags he must sell to have neither profit nor loss, if the number of bags of non-basmati rice sold is $6,400$

1. $3500,5500$
2. $5000,3550$
3. $5000,3400$
4. $5000,3200$

Q. Find the last two digits of $7^1+7^2+7^3+.................{.7}^{342}?$

1. 7
2. 49
3. 56
4. 1

Q. Find the number of $4$-digit numbers (in base 10) having non-zero digits and which are divisible by $4$ but not by $8$.

Q. Find the remainder when (42)⁴⁴²is divided by 100

1. 24
2. 34
3. 74
4. 44
5. 64

Q. What are the last two digits of $7^{2008}?$ (CAT 2008)

1. 1
2. 41
3. 21
4. 61
5. 81

Q. Find the remainder when ${42}^{442}$ is divided by 100.

1. 34
2. 24
3. 44
4. 64

Q.
A function f (x) is given by the equation , $x^2{f}^{\prime }\left(x\right)+2xf\left(x\right)-x+1=0,f\left(1\right)=0$.
$f\left(x\right)=\frac{a{x}^2+bx+1}{p{x}^2+qx+r}$, then $a^2+b^2+p^2+q^2+r^2$ =

1. 1
2. 9
3. 4
4. 16

Q. Using the digits $4,5,6,7,8$, each once, construct a $5-digit$ number which is divisible by $132$

Q. The remainder when 543328746 is divided by 8 is ______________.

Q. What is the total number of pen drives, calculators and washing machines produced by the company?

1. None of these
2. 907
3. 917
4. 925
5. 905

Q.

What will come in place of the question mark (?) in each of the following series?

17, 20, 33, ?, 125, 244

1. None of these

2. 18

3. 21

4. 24

5. 20

Q.

What will come in place of the question mark (?) in each of the following series?

5, 16, ?, 104, 181

1. 146

2. 192

3. 172

4. 181

5. 196

Q. The remainder when ${33}^{71}$ is divided by 32 is$\underset{–}{}$.

Q.

Find the missing term in the sequence
15, 25, 40, 130, (?), 2560

1. 520

2. 490

3. None of these

4. 500

5. 480

Q.

What will come in place of the question mark (?) in each of the following series?

?, 94, 141, 188, 235, 282

1. 144

2. 360

3. 189

4. 480

5. None of these.