MCQ full Syllabus class 10 maths

If x = 5 is a solution of the quadratic equation 2x^2 + (k – 1)x + 10 = 0, then the value of k is :

• 11

• –11

• 13

• –13

Two positive integers m and n are expressed as m = p^5q^2 and n = p^3q^4, where p and q are prime numbers. The LCM of m and n is :

• p^8q^6

• p^3q^2

• p^5q^4

• p^5q^2 + p^3q^4

The pair of equations x = 2a and y = 3b (a, b ≠ 0) graphically represents straight lines which are :

• coincident

• parallel

• intersecting at (2a, 3b)

• intersecting at (3b, 2a)

If k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value of k is :

• 15

• 17

• 5

• 1

In the given figure, PA and PB are two tangents drawn to the circle with centre O and radius 5 cm. If ∠APB = 60°, then the length of PA is :

• 3√5 cm

• 5√3 cm

• 3√10 cm

• 10 cm

In the given figure, if M and N are points on the sides OP and OS respectively of ΔOPS, such that MN || PS, then the length of OP is :

• 6.8 cm

• 17 cm

• 15.3 cm

• 9.6 cm

All queens, jacks and aces are removed from a pack of 52 playing cards. The remaining cards are well-shuffled and one card is picked up at random from it. The probability of that card to be a king is :

• 1/10

• 3/10

• 10/3

• 3/6

PQ is a diameter of a circle with centre O(2, – 4). If the coordinates of the point P are (– 4, 5), then the coordinates of the point Q will be :

• (– 3, 4.5)

• (– 1, 0.5)

• (4, – 5)

• (8, – 13)

The value of (q^2 + tan(1) + sin(1)) is :

• 0

• 2

• 1

• –1

A cap is cylindrical in shape, surmounted by a conical top. If the volume of the cylindrical part is equal to that of the conical part, then the ratio of the height of the cylindrical part to the height of the conical part is :

• 1 : 2

• 1 : 3

• 2 : 1

• 3 : 1