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Solve the following quadratic equation by factorisation method:
x2 + x – 20 = 0
Concept: Solutions of Quadratic Equations by Factorization
Find the sum of all numbers from 50 to 350 which are divisible by 6. Hence find the 15th term of that A.P.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Find the term t15 of an A.P. : 4, 9, 14, …………..
Concept: General Term of an Arithmetic Progression
Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 installments, each installment being less than the preceding installment by Rs. 10. What should be the first and the last installments?
Concept: Arithmetic Progression
State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......
Concept: Arithmetic Progression
Find n if the nth term of the following A.P. is 68
5, 8, 11, 14, ..........
Concept: Arithmetic Progression
If the 9th term of an A.P. is zero, then prove that 29th term is double of 19th term.
Concept: General Term of an Arithmetic Progression
Decide whether the following sequence is an A.P., if so find the 20th term of the progression:
–12, –5, 2, 9, 16, 23, 30, ..............
Concept: General Term of an Arithmetic Progression
Find the 19th term of the following A.P.:
7, 13, 19, 25, ...
Concept: General Term of an Arithmetic Progression
Choose the correct alternative answer for the following question.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
In an A.P. the first term is – 5 and the last term is 45. If the sum of all numbers in the A.P. is 120, then how many terms are there? What is the common difference?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
If the sum of first p terms of an A.P. is equal to the sum of first q terms then show that the sum of its first (p + q) terms is zero. (p ≠ q)
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.
a = 5, d = 4, s12 = ?
`s_n = n/2 [ square ]`
`s_12 = 12/2 [10 +square]`
`= 6 × square `
` =square`
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is 12%, then what is the rate of CGST and SGST?
Concept: GST - Tax Invoice
On certain article if rate of CGST is 9% then what is the rate of SGST? and what is the rate of GST?
Concept: GST - Tax Invoice
The market value of a mutual fund is 400 crore rupees. Which is divided into 8 crore units.
(a) Suppose you invest Rs. 10,000 in the units, how many units will you get ?
(b) While selling the units if their market value is increased by 10%, how much amount will you get by selling them ?
Concept: Mutual Fund - MF
The market price of share is Rs. 200 and the rate of brokerage is 0.3%.
Find the cost of one such share.
Concept: Shares
Prasad purchased a share of face value Rs. 100 when its market price was Rs. 150. Company declared a dividend of 12% on the share. What was the rate of return on the investment Prasad made ?
Concept: Shares
Smt. Malhotra purchased solar panels for the taxable value of Rs. 85,000. She sold them for Rs. 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
Concept: GST - Computation and ITC
Courier service agent charged a total ₹ 590 to courier a parcel from Nashik to Nagpur. In the tax invoice taxable value is ₹ 500 on which CGST is ₹ 45 and SGST is ₹ 45. Find the rate of GST charged for this service.
Concept: GST - Introduction
