Mathematics Questions

Browse 1,240 Mathematics questions with expert-verified, step-by-step solutions — NCERT, exemplar and previous-year questions, organised by chapter.

1. Q841 CBSE Board 2026
   If the length ​of the ​shadow ​of a tower is $\sqrt{3}$ times ​that of its height, ​then altitude of the ​Sun is :

   1. (a)$45^{\circ }$
   2. (b)$30^{\circ }$
   3. (c)$60^{\circ }$
   4. (d)$15^{\circ }$
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2. Q842 CBSE Board 2026
   A circle ​is divided ​into $16$ identical ​sectors. If ​the ​radius of the ​circle is $7$ cm, the area of each sector is

   1. (a)$\frac{77}{4}$ cm${}^2$
   2. (b)$77$ cm${}^2$
   3. (c)$154$ cm${}^2$
   4. (d)$\frac{77}{8}$ cm${}^2$
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3. Q843 CBSE Board 2026
   The ​value of $p$ for ​which ​roots of ​the ​quadratic ​equation $x^2-px+6=0$ are ​rational, is

   1. (a)$1$
   2. (b)$-5$
   3. (c)$25$
   4. (d)$\sqrt{5}$
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4. Q844 CBSE Board 2026
   If ​the ​mean ​of first $n$ natural ​numbers ​is $\frac{6n}{11}$, then $n$ is ​:

   1. (a)$11$
   2. (b)$6$
   3. (c)$12$
   4. (d)$22$
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5. Q845 CBSE Board 2026
   A ​card is drawn from ​a well ​shuffled ​deck of $52$ cards. The probability of getting an ace ​or a ten is:

   1. (a)$\frac{1}{13}$
   2. (b)$\frac{2}{13}$
   3. (c)$\frac{1}{26}$
   4. (d)$\frac{4}{13}$
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6. Q846 CBSE Board 2026
   In ​the adjoining figure, ​if $EA\parallel SR$ ​and $PE=x$ cm, then the ​value of $5x$ is ​:

   1. (a)$2.4$ cm
   2. (b)$12$ cm
   3. (c)$1.35$ cm
   4. (d)$6.75$ cm
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7. Q847 CBSE Board 2026
   The ​graph of a quadratic ​polynomial ​is ​shown in the figure. ​The sum ​and product of zeroes of ​the polynomial respectively ​are :

   1. (a)$2$ and $3$
   2. (b)$2$ and $-3$
   3. (c)$-2$ and $3$
   4. (d)$-2$ and $-3$
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8. Q848 CBSE Board 2026
   The number of solutions of ​the ​system ​of equations given ​by $x=-2$ and $y=2$ ​is ​:

   1. (a)$0$
   2. (b)$1$
   3. (c)$2$
   4. (d)infinite
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9. Q849 CBSE Board 2026
   If $\cos A=\frac{1}{2}$, ​then ​the ​value ​of ${\sin }^{2}A+2{\cos }^{2}A$ is :

   1. (a)$\frac{3}{2}$
   2. (b)$\frac{5}{4}$
   3. (c)$-1$
   4. (d)$\frac{1}{2}$
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10. Q850 CBSE Board 2026
    If $\cos A=\frac{4}{5}$, then the ​value ​of $\tan A$ ​is ​:

    1. (a)$\frac{3}{5}$
    2. (b)$\frac{3}{4}$
    3. (c)$\frac{4}{3}$
    4. (d)$\frac{5}{3}$
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11. Q851 CBSE Board 2026
    $n^{\text{th}}$ ​term ​of the ​A.P. ​: $\frac{-1}{3},\frac{4}{3},3,\dots$ ​is

    1. (a)$\frac{5n-9}{3}$
    2. (b)$\frac{5n-6}{3}$
    3. (c)$\frac{3n-4}{3}$
    4. (d)$\frac{3n+2}{3}$
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12. Q852 CBSE Board 2026
    In $△ABC$, $P$ ​is a ​point ​on $AB$ ​and $Q$ is ​a point on $AC$ ​such that $PQ\parallel BC$. If $AP:PB=3:2$, ​then $PQ:BC$ is equal to:

    1. (a)$3:2$
    2. (b)$2:5$
    3. (c)$3:5$
    4. (d)$5:3$
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13. Q853 CBSE Board 2026
    If the ​roots of the ​quadratic equation $\sqrt{3}{x}^2-kx+2\sqrt{3}=0$ are real and ​equal, ​then ​the value(s) of $k$ ​is/are :

    1. (a)$\pm \sqrt{24}$
    2. (b)$0$
    3. (c)$4$
    4. (d)$-5$
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14. Q854 CBSE Board 2026
    Two ​different ​dice are rolled together. ​The probability that both the ​obtained numbers are ​less than $4$, ​is

    1. (a)$\frac{2}{9}$
    2. (b)$\frac{7}{36}$
    3. (c)$\frac{1}{4}$
    4. (d)$\frac{2}{3}$
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15. Q855 CBSE Board 2026
    Which ​of the ​following can ​not be ​the ​probability of an event?

    1. (a)$\frac{39}{100}$
    2. (b)$\frac{0.001}{20}$
    3. (c)$\frac{10}{0.2}$
    4. (d)$10\%$
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16. Q856 CBSE Board 2026
    If $a$, $b$, $c$ ​and $d$ are ​consecutive ​terms of an A.P., ​then $c-b$ ​is equal ​to:

    1. (a)$d-a$
    2. (b)$d-b$
    3. (c)$d-c$
    4. (d)$c-a$
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17. Q857 CBSE Board 2026
    The ​distance between ​the points $(-4,2)$ ​and $(1,0)$ is :

    1. (a)$\sqrt{13}$ units
    2. (b)$3$ units
    3. (c)$9$ units
    4. (d)$\sqrt{29}$ units
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18. Q858 CBSE Board 2026
    Which ​of the ​following ​graphs represents ​a polynomial ​with ​both ​zeroes ​being positive ?

    1. (a)Graph (a)
    2. (b)Graph (b)
    3. (c)Graph (c)
    4. (d)Graph (d)
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19. Q859 CBSE Board 2026
    The sum of the age (in years) of a father and three ​times the ​age ​of his daughter ​is $59$. ​If the age of ​the father ​is $x$ years and that of ​his daughter is $y$ years, the equation representing the given information is :

    1. (a)$3x+y=59$
    2. (b)$x+y=59$
    3. (c)$x+3y=59$
    4. (d)$x+y=56$
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20. Q860 CBSE Board 2026
    In which ​of ​the following ​graphs ​of the polynomials ​is one of ​the zeroes twice the other ?

    1. (a)(i) only
    2. (b)(i) and (ii)
    3. (c)(ii) and (iii)
    4. (d)(ii) only
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