Math GBD

Question # 1 of 10

If the current selling price is 2200 and %Markdown is 20 then what is the new selling price Select the correct option

=(0.2*2200)/2200
=2200/(0.2*2200)
=2200+(0.2*2200)
=2200-(0.2*2200)

Let's break this down step by step:

Markdown percentage: 20% = 0.2 in decimal form
Current selling price: 2200
Markdown amount: 0.2 × 2200 = 440
New selling price: 2200 - 440 = 1760

So, the correct option is 2200 - (0.2 × 2200).

Hope this helps! Want me to walk you through any other calculations?

Question # 2 of 10

MINVERSE is the ----- function in Microsoft Excel. Select the correct option

Matrix function
Sum function
None
Set function

The MINVERSE function in Microsoft Excel is used to calculate the inverse of a matrix. Since an inverse exists only for square matrices (matrices with the same number of rows and columns), MINVERSE specifically works with such matrices.

So, the correct option is: Matrix function.

Question # 3 of 10

Which of the following statement is the best option for a column matrix? Select the correct option

It has no column.
It has no row.
It has only one row.
It has only one column.

A column matrix is a type of matrix that consists of a single column and multiple rows.

So, the correct answer is: "It has only one column." ✅

Want me to break down any more matrix-related concepts for you? I'm here to help!

Question # 4 of 10

The expression 22x−x2=22x−2x is satisfied by . . . . . Select the correct option None of the above.

x = 2 Both x = 0 and x = 2 x = 0

Let's solve the equation step by step:

Given expression:

22 x - x^{2} = 22 x - 2 x

Simplify the right-hand side:

22 x - x^{2} = 20 x

Rearrange to set the equation to 0:

22 x - x^{2} - 20 x = 0

2 x - x^{2} = 0

Factorize:

x (2 - x) = 0

Solve for $x$ : $x = 0$ or $x = 2$

So, the correct answer is: Both x = 0 and x = 2

Question # 5 of 10

Some candles are bought for Rs 2 and sold for Rs 2.50.What is percent markup on selling price? Select the correct option 15% 20% 5% 10%

Let's calculate the percent markup on selling price step by step:

Cost price (CP): Rs 2
Selling price (SP): Rs 2.50
Markup amount: SP - CP = 2.50 - 2 = 0.50
Markup percentage on selling price:

(\frac{Markup Amount}{Selling Price}) \times 100

(\frac{0.50}{2.50}) \times 100 = 20 %

So, the correct option is 20%

Hope this helps! Let me know if you need more assistance.

Question # 6 of 10

For a project to be viable without profit or loss, the BC Ratio must be ----- or more. Select the correct option 2 1

The Benefit-Cost Ratio (BC Ratio) is a financial metric used to determine the viability of a project. It is calculated as:

BC Ratio = \frac{Total Benefits}{Total Costs}

If the BC Ratio = 1, it means the project breaks even—there is no profit or loss.
If the BC Ratio > 1, it means the project is profitable.
If the BC Ratio < 1, it means the project is not viable.

Since the question asks for the ratio at which the project is viable without profit or loss, the correct answer is 1

Question # 7 of 10

Which fraction can be used to form a proportion with 7/8? Select the correct option 13/1614/15 35/25 21/24

To form a proportion, two fractions must be equivalent, meaning their cross-products should be equal.

Let's check each option against 7/8:

13/16 Cross multiply: $7 \times 16 = 112$ , $8 \times 13 = 104$ → Not proportional ❌
14/15 Cross multiply: $7 \times 15 = 105$ , $8 \times 14 = 112$ → Not proportional ❌
35/25 Cross multiply: $7 \times 25 = 175$ , $8 \times 35 = 280$ → Not proportional ❌
21/24 Cross multiply: $7 \times 24 = 168$ , $8 \times 21 = 168$ → Proportional ✅

So, the correct answer is 21/24.

Question # 8 of 10

………….. is that Discount Rate at which the Present Worth of Costs is equal to the Present Worth of Benefits. Select the correct option IRR FV PV IPMT

The discount rate at which the Present Worth of Costs equals the Present Worth of Benefits is known as the Internal Rate of Return (IRR).

IRR is a financial metric used in investment analysis. It represents the rate at which the net present value (NPV) of a project becomes zero, meaning the project's benefits exactly offset its costs.

Thus, the correct answer is IRR ✅

Question # 9 of 10

An item originally priced at Rs. 60 is marked 20% off. What is the sale price? Select the correct option 45 48 51 54

Let's break it down:

Original Price (OP): Rs. 60
Discount Percentage: 20% = 0.2 in decimal form
Discount Amount: $60 \times 0.2 = 12$
Sale Price: $60 - 12 = 48$

So, the correct answer is 48 ✅

Question # 10 of 10

An item price 5000 Rs is marked 20% off. What is the sale price? Select the correct option Rs. 1000 Rs. 2000 Rs. 4000 Rs. 3000

Let's break it down:

Original Price: Rs. 5000
Discount Percentage: 20% (or 0.2 in decimal form)
Discount Amount: $5000 \times 0.2 = 1000$
Sale Price: $5000 - 1000 = 4000$

So, the correct answer is Rs. 4000 ✅

Question # 1 of 10

If 5%, 10% and 15% are the discounts on a mobile which is Rs. 35,000 cost. Then which of the following is true for evaluating the net price? Select the correct option 35,000(1+0.05)(1+0.10)(1+0.15) 35,000(1-0.05)+(1-0.10)+(1-0.15) 35,000(1-0.05)(1-0.10)(1-0.15) 35,000(1-0.05)-(1-0.10)-(1-0.15)

Let's break it down:

Since the discounts are applied sequentially, we need to multiply the price by the percentage factor for each discount:

First discount: 5% → Multiply by $(1 - 0.05) = 0.95$
Second discount: 10% → Multiply by $(1 - 0.10) = 0.90$
Third discount: 15% → Multiply by $(1 - 0.15) = 0.85$

Thus, the formula to calculate the net price would be:

35, 000 \times (1 - 0.05) \times (1 - 0.10) \times (1 - 0.15)

So, the correct answer is: 35,000(1 - 0.05)(1 - 0.10)(1 - 0.15) ✅

Question # 2 of 10

What is the dimension of the product matrix AB, if A and B are square matrices of order m and n respectively? Select the correct option m × m m × n n × m Not possible

Matrix multiplication is only possible if the number of columns in matrix A matches the number of rows in matrix B.

If A is a square matrix of order m (meaning it has m × m dimensions),
And B is a square matrix of order n (meaning it has n × n dimensions),
The number of columns in A (which is m) does not match the number of rows in B (which is n).

Since the condition for matrix multiplication is not satisfied, AB cannot be computed.

Thus, the correct answer is: "Not possible" ✅

Question # 3 of 10

-------- are generally used for solving systems of mathematical equations involving several variables. Select the correct option matrices sets None vectors Question # 3 of 10 ( Start time: 11:03:48 PM, 20 May 2025 ) Total Marks: 1 -------- are generally used for solving systems of mathematical equations involving several variables. Select the correct option matrices sets None vectors

The correct answer is matrices ✅.

Matrices are commonly used to solve systems of mathematical equations involving several variables. Techniques like Gaussian elimination, Cramer's rule, and matrix inverses are applied to find solutions in linear algebra.

Let me know if you'd like a quick example of how matrices help solve equations! 🚀

Question # 4 of 10

You apply an excel formula =MDETERM(F28:I30) for a rectangular matrix A and get #VALUE! error. Which of the following is the correct reason? Select the correct option Colon is used instead of comma A is an identity matrix Excel function is incorrect Determinant of a rectangular matrix does not exist

The MDETERM function in Excel calculates the determinant of a matrix. However, determinants are only defined for square matrices (matrices with equal rows and columns).

If A is a rectangular matrix, meaning it does not have equal rows and columns, then its determinant does not exist, and Excel will return a #VALUE! error.

Thus, the correct answer is: "Determinant of a rectangular matrix does not exist" ✅

Hope that helps! Let me know if you'd like further clarification. 🚀

Question # 5 of 10

The series discounts are 10%, 5%, 3%. What is the single equivalent discount rate Select the correct option 18 % 18.09 % 17.07 % 18.05 %

To find the single equivalent discount rate for a series of discounts applied successively, we use the formula:

Equivalent Discount = 1 - (1 - d_{1}) \times (1 - d_{2}) \times (1 - d_{3})

Given discounts:

d1=10%=0.10
d2=5%=0.05
d3=3%=0.03

Now, applying the formula:

Equivalent Discount = 1 - (1 - 0.10) \times (1 - 0.05) \times (1 - 0.03)

= 1 - (0.90 \times 0.95 \times 0.97)

= 1 - (0.82665)

= 0.17335

= 17.07 %

So, the correct answer is 17.07% ✅.

Hope this helps! Let me know if you want me to explain it further. 🚀

Question # 6 of 10

For every 3 push ups Ali can do, Tanveer can do 1 .If Ali do 9 push ups in gym class, how many more push ups Ali do than Tanveer? Select the correct option 3 6 1 12

Let's break it down step by step:

Ratio of push-ups:
- Ali does 3 push-ups for every 1 push-up Tanveer does.
- That means Tanveer's push-ups are 1/3 of Ali's.
If Ali does 9 push-ups:
- Tanveer does 9 ÷ 3 = 3 push-ups.
Difference:
- Ali does 9 - 3 = 6 more push-ups than Tanveer.

So, the correct answer is 6 ✅.

Question # 7 of 10

A chair has a Rs. 1800 net cost price after 25% trade discount. What is the list price? Select the correct option Rs. 1350 Rs. 2200 Rs. 2400 Rs. 1200

Let's work this out step by step:

The net cost price after a 25% trade discount is Rs. 1800.
The formula to find the list price is:

List Price = \frac{Net Cost Price}{1 - Discount Rate}

= \frac{1800}{1 - 0.25}

= \frac{1800}{0.75}

= 2400

So, the correct answer is Rs. 2400 ✅.

Question # 8 of 10

A Leather Jacket sells for Rs. 1000. The markup is 20% of the cost.The cost of the Jacket is………. Select the correct option 532.50 RS 925.75 RS 620.35 RS 833.33 RS

Let's break it down step by step:

Selling price (SP): Rs. 1000
Markup percentage: 20% (which is based on the cost price (CP))
Markup formula:

Selling Price = Cost Price + (Markup Percentage \times Cost Price)

1000 = C P + (0.20 \times C P)

Factoring out $C P$ :

1000 = C P (1 + 0.20)

1000 = C P \times 1.20

Solving for $C P$ :

C P = \frac{1000}{1.20}

C P = 833.33

So, the correct answer is 833.33 RS ✅.

Question # 9 of 10

If L is the current price of an item and a series discount of 10%, 15% and 13% are given. What is the new price of item? Select the correct option L(1- 38%) L (1+10%) (1+15%) (1+13%) L (1-10% - 15% - 13%) L (1-10%) (1-15%) (1-13%)

Let's calculate the new price after applying the series of discounts step by step.

Since discounts are applied successively, we use the formula:

New Price = L \times (1 - {Discount}_{1}) \times (1 - {Discount}_{2}) \times (1 - {Discount}_{3})

For 10%, 15%, and 13% discounts, the calculation is:

L \times (1 - 0.10) \times (1 - 0.15) \times (1 - 0.13)

So, the correct answer is: L (1 - 10%) (1 - 15%) (1 - 13%) ✅

Question # 10 of 10

If a square matrix with 1's on the main diagonal from the upper left to the lower right and 0's off the main diagonal. Then, which of the following is true for the matrix? Select the correct option It is a row matrix. It is an identity matrix. It is a column matrix. It is a rectangular matrix.

A square matrix with 1's on the main diagonal (from upper left to lower right) and 0's everywhere else is called an identity matrix.

Identity matrix is denoted by I and is an essential matrix in linear algebra.
Multiplying any matrix by an identity matrix preserves the original matrix.

Thus, the correct answer is: ✅ It is an identity matrix.

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