A+B+C=N (N Varying)

Q.

How many 5 digit numbers can be formed using the digits 0, 1, 2, 3 and 4?

1. 96

2. 72

3. 48

4. 78

5. 68

Q. An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, …., 9 such that the first digit of the code is nonzero. The code, handwritten on a slip, can however potentially create confusion, when read upside down-for example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?(2003)

1. 78
2. 71
3. 69
4. 80

Q. The sum of two numbers is 2000 and their L.C.M. is 21879. Which of the following correctly represents the the two numbers?

1. 1874, 5
2. 1993, 7
3. 1991, 9
4. 1989, 11
5. 1987, 13

Q. Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ < n < 10¹¹. The number of different values for n is :(CAT 2004)

1. 10
2. 9
3. 8
4. 11

Q.

How many numbers are there between 1 and 100 such that at least one of their digits is 5?

1. 19

2. 21

3. 20

4. 23

5. 29

Q.

I got a black bag with $3$ green apples, $5$ yellow apples, $7$ green pears, and $2$ yellow pears. Filecio randomly grabs the fruits one by one.

How many fruits does Filecio have to grab to be sure that he got $1$ apple and $1$ pear with the same color?

Q.

On 7${}^{th}$ May 2009, it was Wednesday. What was the day of the week on 7${}^{th}$ May 2008?

1. Sunday

2. Wednesday

3. Tuesday

4. Saturday

5. Monday

Q. How many three digit numbers have a digital root =8 with an order 1?

1. 36
2. 21
3. 28
4. 56
5. 45

Q. How many three-digit numbers are there, with distinct digits, with each digit odd?

Q.

On 7${}^{th}$ May 2009, it was Wednesday. What was the day of the week on 7${}^{th}$ May 2008?

1. Sunday

2. Saturday

3. Tuesday

4. Wednesday