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math quiz 3

Thursday 05 October 2017

most asked questions

1. The sides of a triangle are in the ratio 7 : 9 : 12. The difference between the largest side and the smallest one is 15 cm. What is the length of the longest side?
(a) 12 cm
(b) 36 cm
(c) 60 cm
(d) 24 cm

Q2. What will be the volume of the right circular cylinder 21 cm high with radius 5 cm long?
(a) 1650 cm³
(b) 1255 cm³
(c) 1050 cm³
(d) 334π cm³

Q3. A right-angled ∆ with sides 9 cm, 12 cm and 15 cm long is rotated on the side 9 cm long to form a cone. What will be the volume of the cone so formed?
(a) 324 π cm³
(b) 327 π cm³
(c) 330 π cm³
(d) 334 π cm³

Q4. If the radius of a sphere is increased by 2 cm, its surface area increases by 352 cm². What was the initial radius of the sphere? [take π=22/7]
(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 6 cm

Q5. If the internal bisectors of ∠B and ∠C of the ∆ABC meet in point O and ∠A = 80°.What is the measure of ∠BOC in degree?
(a) 100°
(b) 120°
(c) 130°
(d) 140°

Q6. If the three successive angles of a cyclic quadrilateral are in the ratio 1 : 3 : 4. What is the measure of the 4th angle?
(a) 36°
(b) 72°
(c) 108°
(d) 30°

Q7. AB is the diameter of a circle with centre O. PQ is a chord which does not intersect AB. Join AP and BQ. If ∠BAP = ∠ABQ, then what will be ABQP?
(a) cyclic rectangle
(b) cyclic square
(c) cyclic trapezium
(d) cyclic rhombus

Q8. Let in an equilateral ∆ABC, AX⊥BC. What will be the sum of the perpendicular drawn on the sides of the triangle from a point in the interior of the triangle?
(a) Equal to AX
(b) More than AX
(c) Less than AX
(d) Equal to BC

Q9. If cosθ + sinθ = m and secθ + cosecθ = n then n(m² - 1) is equal to ?
(a) 4mn
(b) mn
(c) 2n
(d) 2m


Q11. The diameter of a 120 cm long roller is 84 cm. The roller makes 500 revolutions to plane the land. What will be the cost of making the land plane at the rate of Rs 1.50 per sq. meter?
(a) Rs 6000
(b) Rs 5750
(c) Rs 3762
(d) Rs 2376

Q12. Straight line y = 3x will have to pass through the point?
(a) (2, 0)
(b) (1, 2)
(c) (0, 1)
(d) (0, 0)

Q13. If a²+b²+c² = 2(a–b-c)–3, then the value of a+b+c is ?
(a) 1
(b) –1
(c) 2
(d) –2

Q14. If x(x+y+z)=20, y(x+y+z)=30 and z(x+y+z)=50, find the value of 2(x+y+z)?
(a) 20
(b) –10
(c) 15
(d) 18

Q15. Point G is the centroid of a regular triangle ABC and intersects BC at D if AD = 10 cm. What is the length of AG?
(a) 10/√3 cm
(b) 20/3 cm
(c) 3 1/3 cm
(d) √3/3 cm