Pascal's Triangle

Q. $\frac{343\times 49}{216\times 16\times 81}=?$

1. $Noneofthese$
2. $\frac{7^5}{6^7}$
3. $\frac{7^5}{6^8}$
4. $\frac{7^6}{6^7}$
5. $\frac{7^4}{6^8}$

Q.

The number of even proper divisors of $1008$ is

1. $23$

2. $21$

3. $20$

4. None of these

Q.

A student is required to answer 5 out of 8 questions divided into two groups each containing 4 questions. He is not permitted to attempt more than 3 from each group. In how many ways can he make the choice?

1. 48

2. 54

3. None of these

4. 61

Q.

1. State which of the following collections are sets:

(iv) collection of all tall students of your class

Q.

1. State which of the following collections are sets:

(v) collection of all clever students of your school

Q. If the XAT centre of 4 students can be any one of the 7 cities, then calculate the probability that all the 4 students get any one of exactly 2 centres.

1. 
2. 
3. 
4. 

Q.

A student is required to answer 5 out of 8 questions divided into two groups each containing 4 questions. He is not permitted to attempt more than 3 from each group. In how many ways can he make the choice?

1. 54

2. 64

3. 48

4. 61

5. None of these

Q. Assertion($A$) : Period of $\frac{e^x}{e^{\left[x\right]}}$ is 1.
Reason($R$) : Period of $x-\left[x\right]$ is 1.

1. A is true , R is true. R is the correct explanation of A
2. A is false, R is false
3. A is true, R is false.
4. A is true, R is true and R is not correct explanation of A

Q. If 30% of the visitors to an ice cream shop have chocolate ice-cream, then what is the probability that 2 out of 3 people who entered the store on Saturday at 5 pm will have chocolate ice-cream?

1. 0.15
2. 0.19
3. 0.28
4. 0.16

Q.

A student scored $x$ marks in English but the teacher deducted $5$ marks for bad handwriting. What was the students final score in English?

Q. Find out the frequency of AabbCcDdee if parents are AabbCCddEe and AabbccDdee 1)0.78% 2)12.5% 3)25% 4)50%