Number of Zeroes in a Number

Q. Multiplying prime numbers $>1$ to $<100$ consecutively, how many zeroes will result at the end?

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

Q.

How many $2n$-digit positive integers can be formed if the digits in odd positions (counting the rightmost digit at position $1$) must be odd and the digits in even positions must be even and positive?

Q. $(41.33{)}^2+(7.96{)}^2-(22.02{)}^2=?$

1. 1280
2. 1440
3. 1580
4. 1540
5. 1380

Q.

Five-digit numbers divisible by $3$ are to be formed using the numerals$0,1,2,3,4$ and $5$, without repetition. The total number of ways this can be done is equal to:

1. $216$

2. $240$

3. $600$

4. $3125$

Q. Abhay choses to bat and he scores exactly 50 runs in 12 balls. He makes only zeroes, fours and sixes in these 12 balls. In how many different ways can he do so?

1. ¹²C₁₁
2. 11!x2!
3. ¹²C₁₀ + ¹²C₁₁.²C₁ + ¹²C₉.³C₂
4. none of these

Q. Find the ${202}^{nd}$ digit from the right in the product of $4!\times 5!\times 6!...............71!?$

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

Q.

The remainder obtained when we divide 131! by ${100}^n$ is 0. The maximum value of n is

1. 17

2. 16

3. 32

4. 34

Q. find the zeroes of x-2.

Q. Find the $7^{th}$ digit from the right in 25!

1. 0
2. 4
3. 8
4. 2
5. 6

Q. Find out the wrong term in the series 3, 4, 10, 32, 136, 685, 4116

1. 4116
2. 685
3. 136
4. 32

Q. 11 18 29 42 59 80 101 ?

1. 42
2. 18
3. 29
4. 59
5. None of these

Q.

The number of zeroes in the quotient obtained when 45! – 43! is divided by 10 is

1. 6

2. 7

3. 8

4. 9

Q.

23+3.9$\times$2.9 = ?

1. 25

2. 39

3. None of these

4. 35

5. 29

Q. Number of zeros in the expansion of $100!$ is

1. $24$
2. $25$
3. $20$
4. $27$

Q. A municipal corporation wall on road side has dimensions as shown in figure. The wall is to be used for advertisements and it yields an earning of $Rs.400$ per $m^2$ in a year. Find the total amount of revenue earned in a year.

Q. find the zeros of 4x​²+ 5 under root 2-3

Q. The least positive remainder when $123\times 125\times 127$ is divided by $124$ is

1. $4$
2. $120$
3. $121$
4. $130$