Unit Digit of a Number

Q. $Findtheunitdigitof{123}^{456}Ans.$______________.

Q.

The remainder obtained when (1! + 2! + 3! + …..100!) is divided by 10 is

1. 2

2. 3

3. 0

4. 1

Q. Amit, Sucheta and Neeti start running around a circular track and complete one round in 18 seconds, 24 seconds and 32 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time?

1. 214
2. 196
3. 896
4. 324
5. 288

Q. $Findtheunitdigitof{217}^{434}Ans.$ ______________.

Q. An AC consumes 8 units of electricity in 30 minutes and a bulb consumes 18 units of electricity in 6 hours. How many total units of electricity will both the AC and the bulb consume in 8 days, if they run 10 hours a day?

1. 1250 units
2. 1528 units
3. 1248 units
4. 1520 units
5. 1620 units

Q. How many numbers less than 10000 are there whose sum of the digits is less than or equal to 5 ?

1. 100
2. 126
3. 201
4. 189
5. 192

Q. If March 3, 1998 falls on Tuesday, then April _____, 1998 falls on a Saturday $1^{st}$week of April.

Q.

Express $15{}^{o}C$ above zero using integers.

Q. How many numbers can be formed from 1, 2, 3, 4, 5(without repeating), where the digit at the unit’s place must be greater than that in the ten’s place?(CAT 1998)

1. 54
2. 60
3. 2×4!
4. 

Q.

The remainder obtained when $(2+5^2+6^3+{11}^4+2^5+5^6+6^7+{11}^8+\dots \dots 2^{97}+5^{98}+6^{99}+{11}^{100})$ is divided by 5 is

1. 2

2. 0

3. 3

4. 4

Q. How many numbers less than 10000 are there whose sum of the digits is less than or equal to 5?

1. 192
2. 100
3. 126
4. 189

Q.

Express $20{}^{o}C$ below zero using integers.

Q.

NUMBER SENSE
Two numbers written in scientific notation have different powers of 10. Do you have to rewrite the numbers so they have the same power of 10 before multiplying

or dividing? Explain.

Q.

The remainder obtained when the sum of the first eight terms of the sequence 8, 64, 512, ..... is divided by 9 is

1. 1

2. 3

3. 0

4. 6

Q.

The remainder obtained when ${2003}^{96}$ is divided by 10 is

1. 0

2. 1

3. 9

4. 2

Q.

Find the quotient $4÷(-2)$

Q. The digit in the unit's place of $5^{834}$ is

1. $0$
2. $1$
3. $3$
4. $5$

Q. What are the last two digits of 475²³ ?

1. 25
2. 50
3. None of these
4. 75
5. 85

Q. What is the unit digit of N if N = ${\left(289\right)}^5\times {\left(587\right)}^7\times {\left(1156\right)}^9\times {\left(17\right)}^{15}$

1. 8
2. 5
3. 3
4. 6