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(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

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Mathematics
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In a two-digit number, the ten’s digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
Concept: undefined >> undefined

Given below are the entries in a saving Bank A/C pass book:

Date Particulars Withdrawals Deposits Balance
Feb 8
Feb 18
April 12
June 15
July 8
B/F
To self
By Cash
To Self
By Cash
-
Rs. 4,000
-
Rs. 5,000
-
-
-
Rs. 2,230
-
Rs. 6,000
Rs. 8,500
4500
6730
1730
7730

Calculate the interest for 6 months from February to July at 6% per annum.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

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A page from a passbook of savings bank account is given below:

Date Particulars Amount Withdrawn
(In Rs)
Amount Deposits
(In Rs)
Balance
(In Rs)
09.08.1999
11.08.1999
05.10.1999
10.10.1999
27.11.1999
29.11.1999
By Cash
By Cheque
To Cheque
By Cash
By Cheque
By Cash
-
-
12,000
-
5,000
-
10,000
5,000
-
17,000
-
3,000
10,000
15,000
3,000
20,000
15,000
18,000

The account is closed on 2nd Jan, 2000. Find the amount received, if the rate of interest is 5%

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

John had a S.B. Account in Bank of Baroda. His passbook had the following entries:

Date Particulars Amount Withdrawn
(In Rs)
Amount Deposits
(In Rs)
Balance
(In Rs)
Jan 1, 2000
Jan, 8
Feb 18
May 19
July 15
Oct 7
By Balance
By cash
To Cheque
By Cash
To self
By cash
-
-
10,500
-
2,400
-
-
6,000
-
6,300
-
3,600
9,600
15,600
5,100
11,400
9,000
12,600

On October 30, 2000 John received his transfer order and closed the account. If the amount of interest he received on closing the account on 30th, Oct 2000 is Rs. 310; calculate the rate of interest per annum.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

Geeta opened a savings bank account in a bank on `7^"th"` Nov., 08 and deposited Rs. 750. She withdrew Rs. 200 on `30^"th"` Nov., 08. If no other withdrawal or deposit was made by her during this month; find the amount on which she would receive interest for the month of Nov., 08.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

A man opened a savings bank account with a bank on 22nd Feb., 1998 and deposited Rs. 300. He further deposited Rs. 1,500 on 5th march 1998 and withdrew Rs. 500 on 12th April 1998. Assuming that he neither deposited not withdrew any money up to the last day of May 1998; write the amounts on which he would receive interest for:
(i) Feb., 1998 (ii) March, 98 (iii) April, 98 (iv) May, 98

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

John had a savings bank account in a bank. In the months of april, 97 and May, 97 He had the following entries in his passbook.

Date Particulars Withdrawals (In Rs) Deposits (In Rs) Balance (In Rs)
April 1 By Balance     4,600.00
April 7 By cash   1,200.00 5,800.00
April 24 To Cheque 800.00   5,000.00
May 16 By Cheque   2,000.00 7,000.00
May 29 To Cash 1,500.00   5,500.00

Find the amounts on which John will get interest for the months of April, 97 and May 97.

 

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

A page from the passbook of Asha is given below:

Date Particulars Amount Withdrawn (Dr) Rs P Amount Deposits (Cr) Rs. P Balance Rs. P
Jan 5
March 7
April 2
April 10
Oct , 6
Dec, 8
Balance B/F
To Cheque
By Cheque
By Cheque
By Cheque
By Cash

1,200.00

 

950.00

 

 

2,300.00
820.00

 

1,700.00

 

3,750.00

 

 

 

Complete the passbook and then calculate the interest for the period January to December 5% per annum.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

The entires in a savings bank passbook are as given below:

Date Particulars Particulars
Withdrawals (In Rs)
Deposits (In Rs) Balance (In Rs)
01.01.03
01.02.03
12.02.03
05.04.03
15.04.03
09.05.03
04.06.03
B/F
By cash
To cheque
By Cash
To cheque
By cash
By Cash

5,000.00

4,250.00

 

11,500.00


3,750.00

1,500

1,500

14,000.00
25.500.00
20,500.00
24,250.00
20,000.00
21,500.00
23,000.00

Calculate the interest for six months (January to June) at 4% per annum on the minimum balance on or after the tenth day of each month

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

A page from the passbook of Mrs. Rama Bhalla is given below:

Date Particulars Withdrawals (In Rs) Deposits (In Rs) Balance (In Rs)
January 1 B/F     2,000.00
January 9 By Cash   200.00 2,200.00
February 10 To Cheque 500.00   1,700.00
February 24 By Cheque   300.00 2,000.00
July 29 To Cheque 200.00   1,800.00
November 7 By Cash   300.00 2,100.00
December 8 By Cash   200.00 2,300.00

Calculate the interest to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

Mr. Sen has a savings bank account with a post office.
(i) calculate the interest earned by Mr. Sen during the year 2010 at 6.5% per annum payable in December if the entries during the year in his passbook are as given below: 

Date Particulars Withdrawals (Rs) Deposits (Rs)
2.1.10 By cash   250.00
9.1.10 By Cheque   825.00
13.3.10 To Cash 325.00  
24.7.10 By Cash   1,237.00
6.10.10 To Cheque 250.00  
22.12.10 By Cheque   958.00

(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of Rs. 10.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

A savings bank account was opened by Mrs. Roy on 3.7.12 and closed on 31.01.13. The entries in the passbook of Mrs. Roy were as given below:

Date Particulars Debit (In Rs) Credit (In Rs) Balance (In Rs)
3.7.12 By cash   690.00  
15.7.12 By cash   1,153.00  
27.8.12 By Cheque   2,468.00  
30.8.12 To cash 946.00    
12.9.12 To Cheque 1,000.00    
20.11.12 By Cheque   3,000.00  
26.11.12 By cash   750.00  
28.11.12 To Cash 1,570.00    

(i) By finding the balance on different dates of entries calculate the interest earned by Mrs. Roy, For the period she had this savings bank account, at the rate of 6% p.a.
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of 10.

[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

Mrs. Swami had a savings bank account with the state bank of India, from `13^"th"` Feb 09 to 6th August 09. The following table shows the entries in her passbook for the above said periods. Calculate the interest earned by Mrs. Swami on her S.B. Account up to `31^"st"` July 09 at the rate of 5% per annum.

Date Particulars Amount Withdrawn (Dr) Rs P Amount Deposits (Cr) Rs. P Balance Rs. P
Feb 13 By Cash   500.00 500.00
March 3 By cheque   735.00 1,235.00
March 14 By cheque   1,040.00 2,275.00
May 10 To cheque 240.00   2.035.00
May 22 To cash 430.00   1,605.00
June 19 By cash   780.00 2,385.00
July 26 To cash 980.00   1,405.00
[2] Banking
Chapter: [2] Banking
Concept: undefined >> undefined

Solve each of the following equations by factorization: 

`X^2 – 10x – 24 = 0 `

[5] Quadratic Equations
Chapter: [5] Quadratic Equations
Concept: undefined >> undefined

Solve each of the following equations by factorization: 

`2x^2-1/2x=0` 

[5] Quadratic Equations
Chapter: [5] Quadratic Equations
Concept: undefined >> undefined

Solve each of the following equations by factorization: 

x(x – 5) = 24 

 

[5] Quadratic Equations
Chapter: [5] Quadratic Equations
Concept: undefined >> undefined

Solve each of the following equations by factorization: 

`9/2x=5+x^2`

[5] Quadratic Equations
Chapter: [5] Quadratic Equations
Concept: undefined >> undefined

Solve each of the following equations by factorization : 

`6/x=1+x` 

 

[5] Quadratic Equations
Chapter: [5] Quadratic Equations
Concept: undefined >> undefined

Solve each of the following equations by factorization:  

`x=(3x+1)/(4x)` 

[5] Quadratic Equations
Chapter: [5] Quadratic Equations
Concept: undefined >> undefined
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