Combination of Atleast One Thing from n Things When All Are Not Different

Q.

$48$ is not a multiple of:

1. $4$

2. $12$

3. $18$

4. $16$

Q.

The integer ________is its own additive inverse

Q. The three-digit number 2a3 is added to the number 326 to give the three-digit number 5b9. If 5b9 is divisible by 9, then $a+b$ equals

1. $6$
2. $9$
3. $8$
4. $4$

Q. The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is

1. 66
2. 77
3. 55
4. 88

Q. The number of ways of distributing eight identical balls in three distinct boxes so that none of the boxes is empty is

1. 5
2. 21
3. $3^8$
4. ${}^8{C}_3$

Q. The sum of the digits of a two digit number is $10$. When the digits are reversed, the number decreases by $79\%$ approx. Find the changed Number on reversing the digits.

1. $19$
2. $91$
3. $73$
4. None of these

Q. The number of 4 digit numbers greater than 8000 that can be formed with two 5's, three 8's and four 9's is

1. 50
2. 51
3. 49
4. 52

Q. Number of $5$ digit numbers which are divisible by $5$ and each containing the digit $5$, digits being all different is equal to $k(4!)$, the value of $k$ is

1. $168$
2. $84$
3. $208$
4. $188$

Q. The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are substituted by a, b, c, d, e, f, h, i, j. Then find the value of $(c+j)\times b+j÷d-a+e$

1. 16
2. 12
3. 18
4. 8