Tag: mathematics and statistics

Quizzes (38) Questions (955)

Questions Related to mathematics and statistics

Multiple choice mathematics and statistics interest applying compound interest compound interest formula with different successive rate of interest compound interest ( for different time period)

Calculate the amount and the compound interest on Rs. $12,500$ in $3$ years when the rates of interest for successive years are $8 \%$, $10 \%$ and $10 \%$ respectively. 

  1. Rs. $16,335$ and Rs. $3,835$
  2. Rs. $14,853$ and Rs. $2,353$
  3. Rs. $15,664$ and Rs. $3,164$
  4. Rs. $17952$ and Rs.$5,452$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$P=Rs.12,500$

$T=3$ years
$R=8 \%,10 \%, 10 \%,$ 
$A=?,C.I.=?$
$A=P\left(1+\cfrac{R}{100} \right )^T$

$=12500\left(1+\cfrac{8}{100}\right)\left(1+\cfrac{10}{100}\right)\left(1+\cfrac{10}{100}\right)$
$=12500\times \cfrac{108}{100}\times \cfrac{110}{100}\times \cfrac{110}{100}$
$=\cfrac{125\times 108\times 121}{100}$
$A=Rs.  16,335$
$C.I.=A-P$
$C.I=16335-12500$
$C.I=Rs. 3835$ 

Multiple choice mathematics and statistics interest applying compound interest compound interest formula with different successive rate of interest compound interest ( for different time period)

Raj borrows Rs.$16,000$; out of which Rs.$9,000$ at $5\%$ and remaining at $6\%$. Find the total interest paid by him in $4$ years.

  1. $1600$
  2. $3480$
  3. $3600$
  4. $3300$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

${ I } _{ 1 }=\dfrac { P\times R\times T1 }{ 100 } =\dfrac { 9000\times 5\times 4 }{ 100 } =Rs.1800$


${ I } _{ 2 }=\dfrac { 7000\times 6\times 4 }{ 100 } =Rs.1680$


$\therefore $ Total Interest $=Rs.1800+Rs.1680=Rs.3480$

Multiple choice mathematics and statistics angle and their measurement angles and sides naming the sides in a right angled triangle understanding ratios

Value of $ \displaystyle \sin 45^{\circ} \cos 45 \left ( \tan 45^{\circ}+\cot 45^{\circ} \right )^{2}   $  is 

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

$ \displaystyle \sin 45^{\circ} \cos 45 \left ( \tan 45^{\circ}+\cot 45^{\circ} \right )^{2}   $

$=\dfrac{1}{\sqrt2} \times \dfrac{1}{\sqrt2} (1+1)^2 $


$=\dfrac42$

$=2$

Multiple choice mathematics and statistics angle and their measurement angles and sides naming the sides in a right angled triangle understanding ratios

Two angles are called adjacent if

  1. they lie in the same plane and have a common vertex

  2. they have a ray in common

  3. the intersection of their interiors is empty

  4. all the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Two angles are called adjacent if
they lie in same plane and have a common vertex,they have a ray in common and the intersection of their interiors is empty.
do (D) all the above is correct

Multiple choice mathematics and statistics angle and their measurement angles and sides naming the sides in a right angled triangle understanding ratios

In a cyclic quadrilateral ABCD, $\displaystyle \angle ABC=60^{\circ}$ and if O be the centre of the circle then the measure of $\displaystyle \angle OAC$ is

  1. $\displaystyle 20^{\circ}$
  2. $\displaystyle 30^{\circ}$
  3. $\displaystyle 40^{\circ}$
  4. $\displaystyle 50^{\circ}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a cyclic quadrilateral, the angle subtended by a chord at the center is twice the angle at the circumference. If angle ABC = 60, the central angle AOC = 120. In triangle OAC, OA = OC (radii), so angle OAC = (180 - 120)/2 = 30 degrees.

Multiple choice mathematics and statistics angle and their measurement angles and sides naming the sides in a right angled triangle understanding ratios

In the early 9th century AD, _________ produced accurate sine and cosine tables, and the first table of tangents.

  1. Habash al-Hasib al-Marwazi

  2. Muhammad ibn Jabir al-Harrani al-Battani

  3. Muhammad ibn Musa al-Khwarizmi

  4. Abu al-Wafa al-Buzjani
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In the early 9th century AD, Muhammad ibn Mūsā al-Khwārizmī produced accurate sine and cosine tables, and the first table of tangents. He was also a pioneer in spherical trigonometry.