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Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j
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Construct a 2 x 2 matrix whose elements aij are given by aij = i.j
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Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
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Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the order of the matrix X
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Choose the correct answer from the given four options :
If A = [aij]2×2 where aij = i + j, then A is equal to
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Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.
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If A : B = 7 : 5 and B : C = 7 : 5, then A : C is ______.
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If (2x + 3y) : (3x + 2y) = 4 : 3; then x : y is ______.
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Two numbers are in the ratio 5 : 8. If 10 is subtracted from each number, the ratio becomes 4 : 7. The numbers are ______.
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The compound ratio of x – y : x + y and (x + y)2 : x2 – y2 is ______.
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If the sub-duplicate ratio of 6x2 : 24y2 is ______.
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If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.
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A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
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If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
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If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:
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If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.
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Event A: Order of matrix A is 3 × 5.
Event B: Order of matrix B is 5 × 3.
Event C: Order of matrix C is 3 × 3.
Product of which two matrices gives a square matrix.
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A page from a savings bank account passbook is given below:
| Date | Particulars | Amount withdrawn (Rs.) |
Amount Deposited (Rs.) |
Balance (Rs.) |
| Jan 7, 2016 | B/F | 3,000.00 | ||
| Jan 10, 2016 | By Cheque | 2600.00 | 5600.00 | |
| Feb 8, 2016 | To Self | 1500.00 | 4100.00 | |
| Apr 6, 2016 | By Cheque | 2100.00 | 2000.00 | |
| May 4, 2016 | By Cash | 6500.00 | 8500.00 | |
| May 27, 2016 | By Cheque | 1500.00 | 10000.00 |
1) Calculate the interest for the 6 months from January to June 2016, at 6% per annum.
2) If the account is closed on 1st July 2016, find the amount received by the account holder.
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Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find:
- The monthly deposit
- The maturity value.
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Mr Lalit invested Rs. 5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to Rs. 5325. Calculate
1) The rate of interest
2) The amount at the end of the second year, to the nearest rupee.
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