Different to Different

Q.

A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in $\frac{1}{4}$ of a day?

1. 1

2. 4

3. 19

4. 41

5. 6

Q.

A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can his son do it alone?

1. 13/2 days

2. 15/2 days

3. 5 days

4. 8 days

5. 7 days

Q.

What are digital presentations? Give one example of digital presentation software.

Q.

The total number of ways in which $5$ balls of different colours can be distributed among $3$ persons so that each person gets at least one ball is?

1. $75$

2. $150$

3. $210$

4. $243$

Q. In which year was the difference between the appeared students and passed students the second lowest in school R?

1. 2005
2. 2006
3. 2009
4. 2007
5. 2008

Q. $\frac{16\times 32}{9\times 27\times 81}=?$

1. ${\frac{2}{3}}^{12}$
2. ${\frac{2}{3}}^{11}$
3. ${\frac{2}{3}}^{13}$
4. ${\frac{2}{3}}^9$
5. $Noneofthese$

Q.

An examination paper contains two groups each containing 5 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?

1. 120

2. 190

3. None of these

4. 100

5. 200

Q.

4 books, 1 each in Chemistry, Physics, Biology, and Mathematics are to be arranged in a shelf. In how many ways can this be done?

1. 12
2. 24
3. 36
4. 48
5. None of these

Q.

If a = b${}^{2p}$, b = c${}^{2q}$ and c = a${}^{2r}$, then pqr =?

1. 0

2. 2

3. 1/8

4. -2/3

Q. A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of ${45}^{\circ }$. What is the area of each slice of pizza(in square inches)?

1. 19.25
2. 18.25
3. 17.25
4. 16.25
5. None of the above

Q.

A question paper consists of two sections of 3 and 5 questions respectively. Attempting one question from each section is compulsory. In how many ways can a student attempt the paper?

1. 218

2. 219

3. 256

4. 217

Q. How many males work in the Accounts department?

1. 170
2. 165
3. 185
4. 160
5. None of these

Q.

At an election, $3$ wards of a town are canvassed by $4,5\&8$ men respectively. If there are $20$ volunteers then the number of ways they can be allotted to different wards is ?

1. ${}^{20}P_4\times {}^{20}P_5\times {}^{20}P_8$

2. ${}^{20}C_4\times {}^{20}C_5\times {}^{20}C_8$

3. ${}^{20}C_4\times {}^{16}C_5\times {}^{11}C_8$

4. $\frac{1}{3!}{}^{20}C_4\times {}^{16}C_5\times {}^{11}C_8$

Q. $499.99+1999÷39.99\times 50.01=?$

1. 2400
2. 3200
3. 2700
4. 3000
5. 2500

Q. The total number of male employees working in companies N and P together is _____.

1. 1240
2. 1340
3. 1360
4. 1260
5. None of these

Q. How many females work in the accounts department?

1. 592
2. 618
3. 566
4. 624
5. None of these

Q. $\frac{701}{52}÷\frac{11}{699}\times \frac{112}{107}=?$

1. 800
2. 650
3. 900
4. 700
5. 850

Q.

What is the difference between the number of academic books published by publishing houses M and P?

1. 450

2. 640

3. 540

4. 504

5. None of these

Q. Determine the number of ways in which 5 prizes can be distributed among 4 students.

1. 4⁵
2. 5⁴
3. 20
4. 9
5. 5!/4

Q.

An examination paper contains two groups each containing 5 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?

1. 200

2. 190

3. 120

4. None of these

Q. What is the total number of children liking CSK?

1. 14085
2. 16389
3. 20031
4. 14850
5. None of these

Q. In which year was the difference between the number of students in university 1 and the number of students in university 2 the highest?

1. 2008
2. 2012
3. 2009
4. 2010
5. 2011

Q.

The committee should include all the 3 children?

1. 90

2. 180

3. None of these

4. 21

5. 55

Q. What is the total no. of students in District P, R and T?

1. 45000
2. 46000
3. 46800
4. 48600
5. 45500

Q. Find the number of ways in which 15 players can be equally distributed into three different groups-A, B, C.

1. none of these
2. 
3. 
4. 
5. 

Q.

A box contains 12 balls out of which 4 are red and rest are blue. In how many ways can a random sample of 5 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 5 balls of the same colour?

1. ⁴C₁ x ¹¹C₄ + ⁴C₁ x ⁸C₄

2. ⁴C₂ x ⁸C₃ + ⁴C₁ x ⁸C₄

3. ⁴C₂ x ¹⁰C₂ + ⁴C₁ x ¹⁸C₅

4. None of these

Q.

In how many ways can 5 balls can be chosen from 9 different balls?

1. 128

2. 119

3. 136

4. 126

5. None of these.

Q.

All the students attend the competition and exactly 2 freshmen win prizes.

1. none

2. ⁴C₃*¹⁴C₃*6!

3. ⁴C₄*¹⁴C₂*4!

4. ⁴C₂*¹⁴C₄*6!

5. ⁴C₁*¹⁴C₅*6!

Q. Parliament of India has 250 MPs. Each of them drink 25 cans of cold drinks per day. The cupboard in the canteen inside the parliament has “a” rows and “a” columns for storing cans of cold drinks. If in each row, we can put only 1000 cans of cold drinks. The cans will last for (Maximum) :-

1. 160
2. 150
3. 140
4. 200

Q.

In how many ways can three boys be selected from a group of 8 people containing 5 boys and 3 girls?

1. 56

2. 336

3. 10

4. 60

5. none