Mathematics Questions

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

1. Q741 CBSE Board 2026
   The HCF of $960$ and $432$ is :

   1. (a)$48$
   2. (b)$54$
   3. (c)$72$
   4. (d)$36$
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2. Q742 CBSE Board 2026
   The LCM of $960$ and $240$ is :

   1. (a)$960$
   2. (b)$240$
   3. (c)$60$
   4. (d)$15$
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3. Q743 CBSE Board 2026
   $7\times 11\times 13+5$ is

   1. (a)a prime number.
   2. (b)an odd number.
   3. (c)a composite number.
   4. (d)a multiple of $5$.
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4. Q744 CBSE Board 2026
   The product of the ​H.C.F. ​and ​L.C.M. ​of ​two numbers $50$ ​and $20$ ​is:

   1. (a)$100$
   2. (b)$1000$
   3. (c)$50$
   4. (d)$20$
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5. Q745 CBSE Board 2026
   The ​roots ​of the ​quadratic ​equation $(x-1{)}^2=16$ are :

   1. (a)$5,3$
   2. (b)$4,-4$
   3. (c)$5,-3$
   4. (d)$-5,3$
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6. Q746 CBSE Board 2026
   If the ​quadratic ​equation $9x^2+8kx+16=0$ has real and ​equal ​roots, then the ​value of $k$ ​is

   1. (a)$3$
   2. (b)$-3$
   3. (c)$-4$
   4. (d)$\frac{3}{2}$
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7. Q747 CBSE Board 2026
   The value ​of $k$ for which ​the ​equation $k{x}^2-6x-4=0$ ​has ​real ​and equal roots, is

   1. (a)$\frac{9}{4}$
   2. (b)$-4$
   3. (c)$-\frac{9}{4}$
   4. (d)$-2$
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8. Q748 CBSE Board 2026
   At ​which ​of the following points, the ​quadratic ​polynomial $p(x)=-3x+18x^2-1$ intersects ​the ​positive $x$-axis ​?

   1. (a)$\left(\frac{1}{6},0\right)$
   2. (b)$\left(-\frac{1}{3},0\right)$
   3. (c)$\left(-\frac{1}{6},0\right)$
   4. (d)$\left(\frac{1}{3},0\right)$
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9. Q749 CBSE Board 2026
   If $\text{HCF}(850,325)$ is $25$, ​then $\text{LCM}(850,325)$ ​is:

   1. (a)$442$
   2. (b)$11050$
   3. (c)$8450$
   4. (d)$2210$
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10. Q750 CBSE Board 2026
    The ​HCF ​of $2^2\times 3^3$ ​and $3^2\times 2^3$ ​is ​:

    1. (a)$1$
    2. (b)$2\times 3$
    3. (c)$2^2\times 3^2$
    4. (d)$2^3\times 3^3$
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11. Q751 CBSE Board 2026
    The HCF of the smallest ​prime number ​and the ​smallest 3-digit ​number is $2^m{5}^n$. The respective ​values ​of $m$ and $n$ ​are :

    1. (a)$0,0$
    2. (b)$1,0$
    3. (c)$0,1$
    4. (d)$1,1$
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12. Q752 CBSE Board 2026
    The ​HCF ​of $2^3$ ​and $3^2$ is ​:

    1. (a)$2^0\times 3^0$
    2. (b)$2^1\times 3^1$
    3. (c)$2^3\times 3^2$
    4. (d)$2^2\times 3^3$
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13. Q753 CBSE Board 2026
    The natural number $2$ is :

    1. (a)a prime number
    2. (b)a composite number
    3. (c)prime as well as composite
    4. (d)neither prime nor composite
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14. Q754 CBSE Board 2026
    The natural number $1$ is :

    1. (a)A prime number.
    2. (b)A composite number.
    3. (c)Prime as well as composite.
    4. (d)Neither prime nor composite.
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15. Q755 CBSE Board 2026
    The ​roots of ​the quadratic ​equation $x^2+9=0$ ​are

    1. (a)real and equal
    2. (b)not real
    3. (c)real and negative of each other
    4. (d)rational numbers
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16. Q756 CBSE Board 2026
    If $\alpha$ and $\beta$ ​are two ​zeroes of ​the quadratic polynomial $p(x)=x^2-11x+30$, ​then $\frac{1}{\alpha }+\frac{1}{\beta }$ ​is equal to:

    1. (a)$\frac{30}{11}$
    2. (b)$\frac{11}{30}$
    3. (c)$-\frac{11}{30}$
    4. (d)$-\frac{30}{11}$
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17. Q757 CBSE Board 2026
    In the given figure, $PQ$ and $PR$ ​are tangents to a ​circle with centre $O$ and ​radius $3$ ​cm. ​If $\angle QPR=60^{\circ }$, then the ​length ​of each tangent is :

    1. (a)$3\sqrt{3}$ cm
    2. (b)$3$ cm
    3. (c)$6$ cm
    4. (d)$\sqrt{3}$ cm
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18. Q758 CBSE Board 2026
    It is given ​that $△ABC\sim △EDF$. ​Which ​of ​the ​following ​is ​not ​true ?

    1. (a)$\frac{\text{Perimeter of }△ABC}{\text{Perimeter of }△EDF}=\frac{AB}{ED}$
    2. (b)$\frac{AB}{ED}=\frac{AC}{EF}$
    3. (c)$\angle A=\angle D,\angle C=\angle F$
    4. (d)$\frac{AB+BC}{AC}=\frac{DE+DF}{EF}$
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19. Q759 CBSE Board 2026
    The line ​segment joining ​the ​points $P(-4,-2)$ and $Q(10,4)$ is ​divided by the y-axis ​in ​the ratio :

    1. (a)$2:5$
    2. (b)$1:2$
    3. (c)$2:1$
    4. (d)$5:2$
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20. Q760 CBSE Board 2026
    The ​graph of a ​quadratic polynomial $f(x)$ passes ​through $(5,0)$, $(0,-1)$ and $(-2,0)$. The ​two factors of ​the polynomial ​are

    1. (a)$(x+2),(x-5)$
    2. (b)$(x+5),(x-2)$
    3. (c)$(x+1),(x-5)$
    4. (d)$(x-1),(x+2)$
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