Self Studies
Selfstudy
Selfstudy

Mathematics (Basic) Test 1

Result Self Studies

Mathematics (Basic) Test 1
  • Score

    -

    out of -
  • Rank

    -

    out of -
TIME Taken - -
Self Studies

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Self Studies Self Studies
Weekly Quiz Competition
  • Question 1
    1 / -0

    A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is 

    Solution

    P(perfect Square)=\(\frac5{45}=\frac19\)

  • Question 2
    1 / -0

    In a circle of diameter 42cm ,if an arc subtends an angle of \(60^{\circ}\) at the centre where \(\pi\) =22/7,then the length of the arc is

    Solution

    Length of the arc= \(\frac{\theta}{360^{\circ}}(2\pi r)\)

    =\(\left(\frac{60^{\circ}}{360^{\circ}}\right)\times2\times\frac{22}7\times21\) = 22cm

  • Question 3
    1 / -0

    If sin \(\theta\) = x and sec \(\theta\) = y , then tan \(\theta\) is

    Solution

    Tan \(\theta\) = \(\frac{sin\,\theta}{cos\,\theta}\) = sin \(\theta\) xsec \(\theta\) = xy

  • Question 4
    1 / -0

    The pair of linear equations y = 0 and y =-5 has

    Solution

    The lines are parallel hence. 

  • Question 5
    1 / -0

    A fair die is thrown once. The probability of even composite number is

    Solution

    P(even composite no) =2/6=1/3

  • Question 6
    1 / -0

    8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be

    Solution

    Let the cost of one chair=Rs. x

    Let the cost of one table=Rs. y

    8x + 5y=10500

    5x + 3y = 6450

    Solving the above equations

    Cost of each chair= x= Rs. 750

  • Question 7
    1 / -0

    If \(cos\,\theta\) + \(cos^2\theta  \) =1,the value of \(sin^2\theta+sin^4\theta\) is

    Solution

    \(cos\,\theta=I-cos^2\theta=sin^2\theta\)

    Therefore \(sin^2\theta+sin^4\theta=cos\,\theta+cos^2\theta=1\)

  • Question 8
    1 / -0

    The decimal representation of \(\frac{23}{2^3\times5^2}\) will be

    Solution

    Terminating

  • Question 9
    1 / -0

    The LCM of \(2^3\times3^2\) and \(2^2\times3^2\) is

    Solution

    \(2^3\times3^3\)

  • Question 10
    1 / -0

    The HCF of two numbers is 18 and their product is 12960. Their LCM will be

    Solution

    \(1^{st}\) No. \(\times\) \(2^{nd}\) No. = HCF \(\times\) LCM

    12960 = 18 \(\times\) LCM

    LCM = 720

  • Question 11
    1 / -0

    The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are

    Solution

    \(\frac{(2\times4+1\times1)}3\), \(\frac{(2\times6+1\times3)}3\)

    = (3,5)

  • Question 12
    1 / -0

    The prime factorisation of 3825 is

    Solution

    \(3825=3^2\times5^2\times17\)

  • Question 13
    1 / -0

    In an isosceles triangle ABC, if AC = BC and \(AB^2=2AC^2\), then the measure of angle C will be

    Solution

    \(AB^2=AC^2+AC^2\)

    \(=AC^2+BC^2\)

    Hence, angle C = \(90^\circ\)

  • Question 14
    1 / -0

    If -1 is a zero of the polynomial p(x)=\(\text x^2\) -7x-8 , then the other zero is

    Solution

    Let the zeroes be a and b

    Then, a = -1 , a + b=-(-7)/1

    Hence, b = 7 + 1 = 8

  • Question 15
    1 / -0

    In a throw of a pair of dice, the probability of the same number on each die is

    Solution

    P(same no on each die) = \(\frac6{36}=\frac16\)

  • Question 16
    1 / -0

    The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q

    Solution

    (2,6)=\(\left(\frac{(3p-2)}2,\frac{(4+2q)}2\right)\)

    3p - 2 = 4, 4 + 2q = 12

    P = 2, q = 4

    hence p + q = 6

  • Question 17
    1 / -0

    The decimal expansion of \(\frac{147}{120}\) will terminate after how many places of decimals?

    Solution

    \(\frac{147}{120}= \frac{49}{40}=\frac{49}{2^3 \times 5}\) 

    Three decimal places

  • Question 18
    1 / -0

    The perimeter of a semicircular protractor whose radius is ‘r’ is

    Solution

    Perimeter of protractor=Circumference of semi-circle + 2 \(\times\) radius

    \(\pi\)r+2r

  • Question 19
    1 / -0

    If P (E) denotes the probability of an event E, then

    Solution

    0\(\le\) P( E) \(\le\)1

  • Question 20
    1 / -0

    In \(\triangle\)ABC, \(\angle\)B = \(90^{\circ}\) and BD \(\perp\) AC. If AC = 9cm and AD = 3 cm then BD is equal to

    Solution

    \(\frac{CD}{BD}=\frac{BD}{AD}\)

    \(BD^2=CD\times AD=6\times3\)

    BD=3\(\sqrt2\) cm

  • Question 21
    1 / -0

    The pair of linear equations 3x + 5y = 3 and 6x + ky = 8 do not have a solution if

    Solution

    \(\frac36=\frac{5}{k}\)

    \(\Rightarrow\) K=10

  • Question 22
    1 / -0

    If the circumference of a circle increases from 2\(\pi\) to 4\(\pi\) then its area _____ the original area.

    Solution

    \(\frac{C1}{C2}=\frac{2\pi r}{2\pi R}\)

    \(\frac{2\pi}{4\pi}=\frac{2\pi r}{2\pi R}\)

    \(\frac{r}{R}=\frac12\)

    \(\frac{A1}{A2}=\frac{\pi r^2}{\pi R^2}=(\frac{r}R)^2=(\frac12)^2=\frac14\)

    A2=4A1

Self Studies
User
Question Analysis
  • Correct -

  • Wrong -

  • Skipped -

My Perfomance
  • Score

    -

    out of -
  • Rank

    -

    out of -
Re-Attempt Weekly Quiz Competition
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now