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# Permutation and Combination Interests Questions and Answers, Formulas ,shortcut Tricks,Test | Download PDF

Himstates website is aspired to provide you competitive exams information, questions and answers ,formulas etc. Permutation and Combination  is an important topic for competitive exams, entrance exams as well interviews.
So to benefit students formulas , questions and previous year questions on the topic of 'Permutation and Combination' is given below,
Download full PDF of questions and answers on the topic of "Permutation and Combination".
• [message]
• 'Permutation and Combination' important in which Competitive Exams ?
• Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defense Competitive Exams
LIC or GIC  Exams
University Grants Commission or UGC
Common Aptitude Test or CAT
Career Aptitude Test
Railway Competitive Exam
MAT, GMAT, IBPS Exam, CSAT, CLAT

Permutation and Combination aptitude questions are also important in state(Himachal Pradesh) competitive exams of HPPSC, HPSSSB, HPBoSE and many more exams of Banking as well as entrance exams etc.

### Formulas For Topic 'Permutation and Combination'

Factorial Notation

Let n = positive integer. factorial n, denoted as n!
n! = n(n - 1)(n - 2)(n - 3) ... 3.2.1.
e. g.
6! = (6 x 5 x 4 x 3 x 2 x 1) = 720.
Permutations
The different arrangements of a given number of things by taking some or all at a time, are called permutations.
All permutations made with the letters x, y, z by taking two at a time are (xy, yx, xz, zx, yz, zy).
All permutations made with the letters x, y, z taking all at a time are:
( xyz, xzy, yxz, yzx, zxy, zyx).

### Questions On Topic 'Permutation and Combination '

Q. 1. Solve 30!/28!
A. 809
B. 870  (Ans)
C. 789
D. 678

Q. 2. Find maximum numbers of words that can be made from word "DAUGHTER" if  vowels always come together?
A. 4000
B. 4250
C. 4300
D. 4320  (Ans)

Q. 3. How many words can be made from letter "EXTRA" if vowels are never together?
A. 100
B. 110
C. 120  (Ans)
D. 90

Q. 4. In how many ways can a football 11 be chosen out of a batch of 15 players?
A. 1365  (Ans)
B. 1345
C. 1277
D. 1265

Q. 5. Find maximum numbers of words that can be made from word "DIRECTOR" so that all vowels come together?
A. 2190
B. 2156
C. 2160  (Ans)
D. None of these

Q. 6. In a team of 10 players, six are boys and 4 girls, four children are to be selected out of them.Find in how many different ways they can be selected so that at least one boy should is there?
A. 219
B. 209  (Ans)
C. 216
D. 200

Q. 7. Find how many three digits numbers can be made from given digits 7, 9, 5, 6, 2 & 3,
Condition :
1. Numbers must be divisible by 5
2. none of the digits is repeated?
A. 21
B. 29
C. 16
D. 20  (Ans)

Q. 8. Find in how many ways a group of five boys and two girls can be formed  out of total 7 boys and 3 girls.
A. 89
B. 63  (Ans)
C. 21
D. 126

Q. 9. In how many different ways can the letters made of a word "OPTICAL"?
Condition :
1. vowels always come together
A. 220
B. 4320
C. 720  (Ans)
D. None of these

Q. 10.In how many ways can the letters of the word "LEADER" be arranged?
A. 890
B. 630
C. 210
D. 360  (Ans)

# Simple and Compound Interests Questions and Answers, Formulas ,shortcut Tricks,Test | Download PDF

Himstates website is aspired to provide you competitive exams information, questions and answers ,formulas etc. Simple and Compound Interests is an important topic for competitive exams, entrance exams as well interviews.
So to benefit students formulas , questions and previous year questions on the topic of 'Simple and Compound Interests' is given below,
Download full PDF of questions and answers on the topic of "Simple and Compound Interests".
• [message]
• 'Simple and Compound Interests' important in which Competitive Exams ?
• Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defense Competitive Exams
LIC or GIC  Exams
University Grants Commission or UGC
Common Aptitude Test or CAT
Career Aptitude Test
Railway Competitive Exam
MAT, GMAT, IBPS Exam, CSAT, CLAT

Simple and Compound Interests aptitude questions are also important in state(Himachal Pradesh) competitive exams of HPPSC, HPSSSB, HPBoSE and many more exams of Banking as well as entrance exams etc.

### Formulas For Topic 'Simple and Compound Interests'

Simple Interest
• Principle Amount (P): The amount or sum is money that is lent out or borrowed.
• Interest : Extra Money on the amount of borrowed or lent out money.
• Simple Interest :Interest on a sum of borrowed or lent out money called as Simple interest.
Simple Interest = (P x R x T/ 100 ).
1. P = (100 x S.I/R x T)   2. R = (100 x S.I / P x T)
3. T = (100 x S.I / P x R)
Where P = Principle amount
R = Rate
T = Time
S. I = Simple Interest

### Questions On Topic 'Simple and Compound Interests '

Q. 1. Simple Interest = 4016.25 Rate =9% yearly  Time = 5 years. Find Principle amount ?
A. Rs. 8925  (Ans)
B. Rs. 4432
C. Rs. 8920
D. None of these

Q. 2. The C.P(Compound Interest) on 30,000 @7% per annum is Rupees 4,347 . The period in (years)
A. 4
B. 3
C. 2  (Ans)
D. 1

Q. 3. The sum of money at S.I amounts to Rs. 815 in 3 years and Rs. 854 in 4 years. The sum is
A. Rs. 692
B. Rs. 645
C. Rs. 956
D. Rs. 698  (Ans)

Q. 4. Raghav took loan from Bandhan Bank @12% per annual of S.I. After three years he had to pay 5400 Rupees only for a period. What Principle amount Raghav borrowed from Bandhan Bank ?
A. Rs. 10,000
B. Rs. 12,000
C. Rs. 15,000  (Ans)
D. None of these

Q. 5. Shivam borrowed Rs.5000 for two years from Walia and Rs.3000 for 4 years on S.I to  Garima @ of interest and received Rs. 2200 in all from both of them as interest.Find rate of interest per annum
A. 8%
B. 10%  (Ans)
C. 7.5%
D. 9.8%

Q. 6. What will be the rate of interest if sum of Rupees 12,500 amounts to Rs. 15,500 in four years @ of S.I.
A. 6%  (Ans)
B. 5%
C. 2%
D. 4%

Q. 7. Narendra borrows 5,000 Rupees for two years @4% p.a S.I. Narendra lends it to Ritik at 25/4 p.a for two years. Find gain in the transaction per year
A. Rs. 110
B. Rs. 112.50  (Ans)
C. Rs. 100.80
D. Rs. 109.77

Q. 8. What will be the ratio of S.I earned by certain amount at the same rate of interest for SIX years and that for NINE years?
A. 1:3
B. 4:3
C. 1:4
D. 2:3  (Ans)

Q. 9. Amit took loan of Rupees 1200 with S.I for as many years as the rate of interest. If he paid 432 Rupees as interest at the end of the loan period, What was rate of interest ?
A. 3
B. 4
C. 6  (Ans)
D. 5

Q. 10. Find C.I (Compound Interest) on a sum of 25,000 Rupees after 3 years @12 % p.a
A. Rs. 10123.20  (Ans)
B. Rs. 9878
C. Rs. 10083
D. Rs. 9102
[next]
Q. 11. At what rate of C.I per annum will a sum of Rupees 1200 become Rupees 1348.32 in two years?
A. 7%
B. 6.5%
C. 6%  (Ans)
D. 7.5%

Q. 12. Difference between C.I and S.I on 1200 Rupees for 1 year @ 10% p.a reckoned 1/2 yearly
A. Rs. 6
B. Rs. 3.5
C. Rs. 4
D. Rs. 3  (Ans)

Q. 13. Find difference between the C.I on Rupees 5000 for one years @ 4 percent per annum compounded yearly and 1/2 yearly?
A. Rs. 2.10
B. Rs. 2.04  (Ans)
C. Rs. 3.00
D. None of these

# Problems on Numbers Questions and Answers, Formulas ,shortcut Tricks,Test | Download PDF

Himstates website is aspired to provide you competitive exams information, questions and answers ,formulas etc. Problems on Numbers is an important topic for competitive exams, entrance exams as well interviews.
So to benefit students formulas , questions and previous year questions on the topic of 'Problems on Numbers' is given below,
Download full PDF of questions and answers on the topic of "Problems on Numbers".
• [message]
• 'Problems on Numbers' important in which Competitive Exams ?
• Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defense Competitive Exams
LIC or GIC  Exams
University Grants Commission or UGC
Common Aptitude Test or CAT
Career Aptitude Test
Railway Competitive Exam
MAT, GMAT, IBPS Exam, CSAT, CLAT

Problems on Numbers aptitude questions are also important in state(Himachal Pradesh) competitive exams of HPPSC, HPSSSB, HPBoSE and many more exams of Banking as well as entrance exams etc.

### Questions On Topic 'Problems on Numbers'

Q. 1. If 1/3rd of 1/4th of a number is 15 , then 3/10 of that number is ?
A. 36
B. 30
C. 54  (Ans)
D. 47

Q. 2. 3 times the 1st of 3 consecutive odd integers is three more than twice the 3rd. Find the 3rd integer
A. 8
B. 10
C. 12
D. 15  (Ans)

Q. 3. If product of two numbers is 8, when  18 is added to number the digits are reversed . Find the Number
A. 81
B. 24  (Ans)
C. 18
D. 42

Q. 4. 120 is product of two number , and 289 is sum of their squares. Find sum of the number
A. 23  (Ans)
B. 22
C. 13
D. All of them

Q. 5. Find sum of 2 consecutive even numbers, if difference of squares is 84?
A. 35
B. 24
C. 40
D. 42  (Ans)

Q. 6. The difference of two numbers is 13 and sum is 25. What will be their product ?
A. 110
B. 112
C. 114  (Ans)
D. None of the above

Q. 7.  Three digits Number has sum = 10. Find number if
Middle digit = sum of the other two and
Number will be increased by 99 if its digits are reversed. The number is:
A. 135
B. 253  (Ans)
C. 351
D. 420

Q. 8. What is the sum of numbers if product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15.
A. 335
B. 200
C. 351
D. 400  (Ans)

Q. 9.  What will be the positive number which is equal to 60 times of the reciprocal of number if increased by 17?
A.  13
B.  3  (Ans)
C.  51
D.  42

Q. 10. A number is of two digits. If digits interchange places and the new number is added to the original number, then the resulting number will be divisible by
A.  13
B.  09
C.  51
D.  11  (Ans)
[next]

Q. 11. If 138 is the sum of square of three numbers and some of their products taken two at a time is 131. Find the sum
A.  10
B.  20  (Ans)
C.  50
D.  40

Q. 12. Which digit should come in place of \$ and # if the number is 62684\$# is divisible by both 8 and 5 ?
A.  8, 0
B.  4, 0  (Ans)
C.  5, 0
D.  6, 0

Q. 13. What least number must be added to 3000 to get a number exactly divisible by 19
A.  2  (Ans)
B.  3
C.  5
D.  12

Q. 14. Find a number which is nearest to 3105 exactly divisible by 21 ?
A.  3  (Ans)
B.  2
C.  51
D.  42

Q. 15. Find the smallest number of 6 digits which is exactly divided by 111 ?
A.  111211
B.  100021
C.  100011  (Ans)
D.  100322

# Time and Distance Questions and Answers, Formulas ,shortcut Tricks,Test | Download PDF

Himstates website is aspired to provide you competitive exams information, questions and answers ,formulas etc. Time and Distance is an important topic for competitive exams, entrance exams as well interviews.
So to benefit students formulas , questions and previous year questions on the topic of 'Time and Distance' is given below,
Download full PDF of questions and answers on the topic of "Time and Distance".
• [message]
• 'Time and Distance' important in which Competitive Exams ?
• Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defense Competitive Exams
LIC or GIC  Exams
University Grants Commission or UGC
Common Aptitude Test or CAT
Career Aptitude Test
Railway Competitive Exam
MAT, GMAT, IBPS Exam, CSAT, CLAT

Time and Distance aptitude questions are also important in state(Himachal Pradesh) competitive exams of HPPSC, HPSSSB, HPBoSE and many more exams of Banking as well as entrance exams etc.

### Questions On Topic 'Time and Distance'

Q. 1. A Truck travelling with 5/7 of its actual speed covers 42 km in 100 minutes and 48 seconds. Find actual speed of car ?
A. 30 km/h
B. 35 km/h  (Ans)
C. 40 km/h
D. 38 km/h

Q. 2. Mohan Lal went for a tour in his new car , he travels first 160 km at 64 km/h and next 160 km at a speed of 80 km/h. Find average speed for the first 360 km he travels
A. 30 km/h
B. 35.05 km/h
C. 70.11 km/h  (Ans)
D. 45 km/h

Q. 3. A man traveled a distance of 61 km in 9 hours. He traveled partly on foot at speed of 4 km/h and partly on cycle at a speed of 9 km/h. Distance he traveled on foot is ?
A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 16 km/h  (Ans)

Q. 4. A man saw train from distance of 100 metres. When train started , man also starts running. If the speed of man is 8 km/h and speed of train is 10 km/h . How far the thief will have run before he is overtaken?
A. 400 m   (Ans)
B. 300 m
C. 600 m
D. 500 m

Q. 5. Rangeeta crosses 600 m long road in 5 minutes. What is speed in Km/h ?
A. 12 km/h
B. 7.2 km/h  (Ans)
C. 8.6 km/h
D. 10 km/h

Q. 6.  A sports bike reaches from Delhi to Shimla in 5 hours at a speed of 240 km/h . To reach in 5/3 hours , it must travel at a speed of ?
A. 300 km/h
B. 360 km/h
C. 720 km/h  (Ans)
D. 610 km/h

Q. 7. Babli Thakur walks at a speed of 14 km/h instead of 10 km/h, she would have walked 20 km or more.  The actual distance traveled by her is?
A. 50 km  (Ans)
B. 40 km
C. 60 km
D. 20 km

Q. 8. Speed of metro is 54 km/h excluding stoppages and 45 km/h including stoppages. For how many minutes does train stops per hour ?
A. 7
B. 8
C. 9
D. 10  (Ans)

Q. 9. To cover a distance of 30 km, Mukul takes 2 hours more than Rohit Ranjan. If Mukul doubles his speed, then he would take 1 hour less than Rohit. What is Mukul's speed ?
A. 7 km/h
B. 5 km/h  (Ans)
C. 6 km/h
D. 10 km/h

Q. 10. Rahul covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance is ?
A. 35 km/h  (Ans)
B. 38 km/h
C. 40 km/h
D. 44 km/h
[next]
Q. 11. It takes 8 hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
A. 2 : 3
B. 3 : 4  (Ans)
C. 4 : 3
D. 3 : 2

Q. 12. Shiva completes a journey in 10 hours. He travels 1st half of the journey @ of 21 km/hr, 2nd half @ of 24 km/hr. Find the total journey in km.
A. 224 km  (Ans)
B. 300 km
C. 238 km
D.302 km

Q. 13. In Flight of 600 km, an Indian airlines aircraft was slowed down due to worst weather conditions. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
(Comment answer in comment box )
A. 67 minutes
B. 60 minutes
C. 77 minutes
D. None of the above

# Average Questions and Answers, Formulas ,shortcut Tricks,Test | Download PDF

Himstates website is aspired to provide you competitive exams information, questions and answers ,formulas etc. Average  is an important topic for competitive exams, entrance exams as well interviews.
So to benefit students formulas , questions and previous year questions on the topic of 'Average' is given below,
Download full PDF of questions and answers on the topic of "Average ".
• [message]
• 'Average' important in which Competitive Exams ?
• Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defense Competitive Exams
LIC or GIC  Exams
University Grants Commission or UGC
Common Aptitude Test or CAT
Career Aptitude Test
Railway Competitive Exam
MAT, GMAT, IBPS Exam, CSAT, CLAT

Average  aptitude questions are also important in state(Himachal Pradesh) competitive exams of HPPSC, HPSSSB, HPBoSE and many more exams of Banking as well as entrance exams etc.

### Questions On Topic 'Average'

Q. 1. Average weight of Rahul, Raman, and Shivam is 45 kg. If average weight of Rahul and Raman be 40 kg and that of Rahul and Shivam be 43 kg, then the weight of Raman is
A. 17 kg
B. 28 kg
C. 30 kg
D. 31 kg  (Ans)

Q. 2. There were 24 players in a cricket team, average weight of 16 players is 50.28 kg and that of remaining 8 boys is 45.15 kg. Find average weight of all boys in cricket team
A. 47.55 kg
B. 48.55 kg  (Ans)
C. 49.56 kg
D. 48.56 kg

Q. 3. Raghav's marks were entered wrongly in exam as 83 instead of 63. Due to these wrongly entered exam  marks , average marks of class increased by half. Find out number of students in class
A. 20
B. 25
C. 30
D. 40  (Ans)

Q. 4. Average age of Rohan , his wife and daughter 3 years ago was 27 years and that of wife and daughter 5 years ago was 20 years. Find out age of Rohan
A. 40 years  (Ans)
B. 30 years
C. 35 years
D. 45 years

Q. 5. Average weight increases by 2.5 kg of 8 person's wen a new person comes in place of a person of weight 65 kg . What might be weight of new entered person
A. 80 kg
B. 85 kg  (Ans)
C. 90 kg
D. None of these

Q. 6. Average of 20 numbers is 0. of them How many may be greater than zero?
A. 11
B. 0
C. 9
D. 19  (Ans)

Q. 7. In a match between India and Pakistan, While India batting in first 10 overs run rate was only 3.2 . What should be run rate of Indian team in last 40 overs to reach target of 282?
A. 6.25  (Ans)
B. 7.20
C. 6
D. 7

Q. 8. Average monthly income of Sunny and bobby is Rs. 5050. Average monthly income of Bobby and Shreya is Rs. 6250 and the average monthly income of Shreya and Sunny is Rs. 5200.  The monthly income of Sunny is
A. Rs. 3500
B. Rs. 3000
C. Rs. 4000  (Ans)
D. Rs. 5000

Q. 9. Find average of all prime numbers between 30 to 50?
A. 39
B. 39.8  (Ans)
C. 39.5
D. 39.2

Q. 10. Find average of first 40 natural numbers ?
A. 20.5  (Ans)
B. 20
C. 21.3
D. 22
[next]

Q. 11. The average of 25 result is 18. The average of first 12 of them is 14 and last 12 is 17. Find the 13th?
A. 77
B. 78  (Ans)
C. 79
D. 80

Q. 12. Average age of 39 students is 15 years. including of age of teacher increases average age by 3 months, Find age of teacher.
A. 40 years
B. 20 years
C. 30 years
D. 25 years  (Ans)

Q. 13 Virat kohli makes a score of 87 runs in the 17th innings and increases his average by 3. Find his average after 17th innings
A. 43
B. 39  (Ans)
C. 40
D. 53

Q. 14. The average of 11 results is 16, if average of first 6 results is 58 and that of the last 63.Find the sixth result
A. 60
B. 66  (Ans)
C. 62
D. 70

Q. 15. The average of 4 consecutive even numbers is 27. Find the largest of these numbers?
A. 29
B. 28
C. 31
D. 30  (Ans)