Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice maths sets, relations and functions graphs of the form y=ax^2+bx+c some more types of functions functions and their graphs

The column sum in an incidence matrix for a simple graph is ________________.

  1. depends on number of edges

  2. always greater than 2

  3. equal to 2

  4. equal to the number of edges
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In an incidence matrix for a simple undirected graph, each column represents an edge. Since an edge connects exactly two vertices, the sum of the entries in each column is 2.

Multiple choice maths sets, relations and functions graphs of the form y=ax^2+bx+c some more types of functions functions and their graphs

Which of the following ways can be used to represent a graph?

  1. Adjacency List and Adjacency Matrix

  2. Incidence Matrix

  3. Adjacency List, Adjacency Matrix as well as Incidence Matrix

  4. None of the mentioned
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Graphs can be represented using adjacency lists, adjacency matrices, and incidence matrices. All these methods are standard ways to store graph data structures.

Multiple choice maths similarity relation between perimeters of similar shapes basic proportionality theorem and its converse basic proportionality theorem

In an isosceles $\Delta A B C$ the base $A B$ is produced both the ways to $P$ and $Q$ such that $A P \times BO = A C ^ { 2 }$ then $\Delta A P C \sim \Delta B C Q$

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given the geometric properties of the isosceles triangle and the condition AP * BQ = AC^2, the triangles APC and BCQ satisfy the criteria for similarity (SAS similarity).

Multiple choice maturity value of recurring deposits banking maths

Mr Bittu deposits a certain sum of money each month in a recurring deposit account. If the rate of interest is $8\%$ per annum and Mr Bittu gets Rs $8,088$ from the bank after $3$ years. Find the value of his monthly instalment.

  1. $400$
  2. $800$
  3. $200$
  4. $140$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the monthly installment be $P$

Given, maturity value $=8088$, $n=3$ years $=3\times 12=36$ months, $r=8\%$
Interest $=\dfrac {Pn(n+1)r}{2400}$
$=\dfrac {P\times 36\times 37 \times 8}{2400}$
$=\dfrac {111P}{25}$
We know, amount $=Pn+\dfrac {111P}{25}$
$8088=36P+\dfrac {111P}{25}$
$=\dfrac {1011P}{25}$
$\therefore 8088= \dfrac {1011P}{25}$
$\therefore P=200$
Therefore, monthly installment  is Rs. $200$.

Multiple choice maturity value of recurring deposits banking maths

Divya has a recurring deposit in a bank at $ 5\%$ per annum simple interest. If she pay monthly installment of Rs. $2000$ for annually. Find her Maturity value.

  1. $6049.931$
  2. $6249.931$
  3. $6149.931$
  4. $6549.931$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the formula,
$M =\dfrac{R \times [(1+i)^{n} - 1]}{1-(1+i)^{\dfrac{-1}{3}}}$ 
R $=$ Monthly Installment $= 2000 $
i $=$ Rate of Interest $5\%$
n $=$ Number of Quarters $= 1$
Substitute the values, 
$M =\dfrac{2000 \times [(1+5/400)^{n} - 1]}{1-(1+5/400)^{\frac{-1}{3}}}$ 
$M = \dfrac{2000\times\dfrac{5}{400}}{1-(\dfrac{405}{400})^{-1/3}}$
$M = 6049.931$

Multiple choice maturity value of recurring deposits banking maths

Sheela has a recurring deposit in a bank at $2\%$ per annum simple interest. If she pay monthly installments Rs.$200$ for annually. Find her Maturity value.

  1. $621.99$
  2. $611.99$
  3. $631.99$
  4. $601.99$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the formula,
$M =\dfrac{R \times [(1+i)^{n} - 1]}{1-(1+i)^{\frac{-1}{3}}}$ 
$R =$ Monthly Installment $= 200$ 
$i =$ Rate of Interest/ 400 $= \dfrac {2}{400}$
$n =$ Number of Quarters $= 1$
Substitute the values, 
$M =\dfrac{200 \times [(1+2/400)^{n} - 1]}{1-(1+2/400)^{\frac{-1}{3}}}$ 
$M = \dfrac{200\times\dfrac{2}{400}}{1-(\dfrac{402}{400})^{-1/3}}$
$M = 601.99$

Multiple choice maturity value of recurring deposits banking maths

______ type of account is operated by salaried persons and petty traders.

  1. fixed deposit

  2. save deposit

  3. recurring deposit

  4. current deposit
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Recurring deposit type of account is operated by salaried persons and petty traders.

Multiple choice maturity value of recurring deposits banking maths

Rita has a recurring deposit in a bank at $4\%$ per annum simple interest. If she pay monthly installment s Rs.$1000$ for annually. Find her Maturity value.

  1. $3019.97$
  2. $4019.97$
  3. $2019.97$
  4. $5019.97$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the formula,
$M =\dfrac{R \times [(1+i)^{n} - 1]}{1-(1+i)^{\frac{-1}{3}}}$ 
$R $= Monthly Installment $= 1000 $
$i =$ Rate of Interest/ 400 $= \dfrac {4}{400}$
$n =$ Number of Quarters $= 1$
Substitute the values, 
$M =\dfrac{1000 \times [(1+4/400)^{n} - 1]}{1-(1+4/400)^{\frac{-1}{3}}}$ 
$M = \dfrac{1000\times\dfrac{4}{400}}{1-(\dfrac{404}{400})^{-1/3}}$
$M = 3019.97$

Multiple choice maturity value of recurring deposits banking maths

Ahmed has a recurring deposit account in a bank.He deposits Rs $5,500$ per month for 2 years.If he gets Rs $1,46,437.5$ at the time of maturity. Find the interest paid by the bank.

  1. $10.5$%
  2. $30$%
  3. $35$%

  4. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given, maturity value $=146437.5$, monthly installment $=5,500$, $n=2$ years $=2\times 12=24$ months

Interest $=\dfrac {Pn(n+1)r}{2400}$
$=\dfrac {5500\times 24 \times 25 \times r}{2400}$
$=1375r$
Therefore, amount $=(Pn+1375r)$
$\Rightarrow 146437.5=(5500\times 24+1375r)$
$\Rightarrow 146437.5=132,000+1375r$
$\Rightarrow 14437.5=1375r$
$\Rightarrow  r=10.5$

Multiple choice maturity value of recurring deposits banking maths

Nithya deposited Rs. $100$ per month for $12$ months in a bank's recurring deposit account. If the bank pays interest at the rate of $10\%$ per annum, find the amount she gets on maturity.

  1. $1205$
  2. $1265$
  3. $1345$
  4. $1450$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given: $P = 100, T(n) = 12$ months, $R = 10\%$
Equivalent principal for $12$ months $=$ $100\times \dfrac{n(n+1)}{2}$
$=$ $100\times\dfrac{12(13)}{2}$
$= 50 \times  12 \times  13$
Interest $=$ $\dfrac{PRT}{100}$
$=$ $\dfrac{50\times 12 \times 13\times 10\times 1}{100\times 12}$
$=$ $65$
Maturity amount $=$ P$\times$T $+$ Interest
$=$ $100 \times 12 + 65$
$=$ Rs. $1265$