jac.nic.in Business Mathematics Model Question Paper : Jharkhand Academic Council

Name of the Organisation : Jharkhand Academic Council
Document Type : Model Question Paper
Name of the Subject : Business Mathematics

Website : http://jac.nic.in/Com%20Model%20question.htm
Download Sample Question Paper :
Unit – I :  https://www.pdfquestion.in/uploads/9978-Unit-I.pdf
Unit – II : https://www.pdfquestion.in/uploads/9978-Unit-II.pdf
Unit – III : https://www.pdfquestion.in/uploads/9978-Unit-III.pdf
Unit – IV : https://www.pdfquestion.in/uploads/9978-Unit-IV.pdf
Unit – V : https://www.pdfquestion.in/uploads/9978-Unit-V.pdf
Unit – VI : https://www.pdfquestion.in/uploads/9978-Unit-VI.pdf
Unit – VII : https://www.pdfquestion.in/uploads/9978-Unit-VII.pdf

Business Mathematics Model Question Paper :

1. Find the 10th term of the sequence 10, 5, 0, -5, -10, …………..
(i) 30
(ii) 35
(iii) -35
(iv) 25

Related : Jharkhand Academic Council Accounts Model Question Paper : www.pdfquestion.in/9974.html

2. Find the 10th term of the sequence 10, 5, 0, -5, -10, …………..
(i) 30
(ii) 35
(iii) -35
(iv) 25

3. Which term of the A.P. 1, 3, 5, 7, 9 …………………. Is 65 ?
(i) 23
(ii) 33
(iii) 43
(iv) 40

4. How many numbers of two digits are divisible by 7 ?
(i) 10
(ii) 12
(iii) 13
(iv) 7

5. Which is the 27th term of the sequence 5, 14, 23, ………….. ?
(i) 239
(ii) 100
(iii) 101
(iv) 900

6. In an A.P. if 3 5 n n t = + , then the common difference will be –
(i) 1
(ii) 2
(iii) 3
(iv) 4

7. In an A.P. if 6th and 12th terms are 13 and 25 then its 20th term will be –
(i) 41
(ii) 39
(iii) 43
(iv) 37

8. 10th term of the A.P. 2, 5, 8, 11, …………….
(i) 47
(ii) 33
(iii) 37
(iv) 29

9. If a, a +1, a + 3, are in G.P. then the value of a :
(i) 2
(ii) 1
(iii) 4
(iv) None Of These

10. If the numbers a,b,c are in A.P. and b,c,d in H.P. then,
(i) ad=bc
(ii) ab=cd
(iii) ac=bd
(iv) None of These

For 8 marks :
1. The sum of digits of a three digit no. is 12 and the digits are in A.P. If the digit are reversed then the no. is diminished by 396. Find the no.
2. Find the sum of all integers between 100 and 400 which are divisible ny 7.
3. Find the sum of all natural numbers between 500 and 1000 which are divisible by 13.

4. ‘A’ arrange to pay off a debt of Rs. 4800 in 24 monthly installment which form an A.P. After 20 installment, A become insolvent and his creditors finds that Rs. 1200still remain unpaid. Find the value of first four installment.

5. Fourth term of a G.P. is 40 and the tenth term is 2560. Find the seventh term.
6. Quantities x,8, y(x y) are in G.P. and x, y,-8 in A.P. Find the value of x and y .
7. If the continued product of three numbers in G.P. is 216 and the sum of their products in pair is 156. Find the numbers.

8. The sum of three consecutive numbers in G.P. is 35 and their product is 1000. Find the numbers.
9. Find the sum to the n terms 5+55+555+………………
10. Find the H.P. whose 6th term is 1 and 10th term is 5. Find the series and 15th term of the series also.

Unit – II :
Objective 1 marks questions :
1. What is the value of 3 9 p
(a) 304
(b) 504
(c) 440
(d) None of these.

2. 7 books are to be arranged in such a way so that two particular books are always at first and last piece, find the number of arrangements.
(a) 60
(b) 230
(c) 480
(d) 240

3. Exactly 3 girls are to be selected from 5 girls and 3 boys. The probability of selected 3 girls will be –
(a) 15/ 28
(b) 1/56
(c) 5/28
(d) None of these

4. A building contractor needs 3 helpers and 10 man apply in how many ways can these selection taken place –
(a) 15
(b) 120
(c) 36
(d) 150

5. What is the value of 8c1
(a) 5
(b) 7
(c) 8
(d) None of these

6. If 7 pr = 42 find the value of r
(a) 3
(b) 2
(c) 4
(d) none of these

7. If p2 n = 42 find the value of n
(a) 3
(b) 2
(c) 7
(d) none of these

8. How many words can be formed with letter of the word SUNDAY taken two at a time.
(a) 20
(b) 15
(c) 30
(d) None of these

13. In how many ways can 10 seats in a bus be occupied by 4 passengers
(a) 5040
(b) 3040
(c) 1000
(d) None of these

14. Find n if c5 n = nc7
(a) 10
(b) 2
(c) 35
(d) 12

15. 6 equal to
(a) 6x5x4
(b) 6x5x 4
(c) both
(d) None of these

LONG TYPE QUESTIONS : 08 MARKS
16. Out of 6 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done. So as to include at least one leady in each committee.

17. In how many ways can team of 11 choosen from 14 Football players, if two of them can only be goalkeepers.
18. Find the value of n, if nc4 = 5x np3

19. 3 women and 5 men are to sit in a row for a Dinner. Find in how many ways they can be arranged. So that no two women sit next to each other.
20. In how many ways 12 different thing can be equally Distributed among 4 persons? If they are divided in Four groups instead to given to 4 persons. What will be the number of ways.

21. How many different words can be formed with the Letter of the “MATHEMATICS” ? In how many of them the vowels are together and consonants are together.
22. To fill 12 vacancies there are 25 candidates of which 5 are from scheduled cast. If 3 of the vacancies are reserved for scheduled cast candidates while the rest are open to all, find the number of ways in which the selection can be made.

23. From 5 Apples, 4 Oranges and 3 Mangoes. How many selections of fruit can be made.
24. In how many ways can the letters of the words “BANARAS” be arranged. So that the letters n and s are never together.
25. What is permutation and combination and given formula.