W. B - X (MATH QUESTIONS)
ARITHMETIC
If O is the centre of the circle, then value of angle X is
If O is the centre of the circle and the BC is the diameter then the value of x is
O is the centre of the circle, If Angle ACB= 30 AngrABC= 60, Angle DAVpB = 35 and angle DBC= x°, then value of x is
O is the centre of the circle and AB is the diameter. If AB || CD, Angle ABC= 25°, Then the value of angle CED is
O is the centre of the circle, if angle BCD= 28.
O the centre of the circle and AB is a diameter. ABCD is a cyclic quadrilateral, angle BAC is
ABCD is a cyclic quadrilateral. BA is produced to the point of F. If AE|| CD, angle ABC= 82 and FAE= 20, then the value of angle BCD is
O is the centre of the circle; if angle BAD= 65, Angle BDC= 45, then the value of angle BCD is
Simple interest
1) If a principal becomes twice of it in 10 years, then the rate of simple interest per annum is
a) 5% b) 10% c) 15% d) 20%
2) Intrest on Rs a at the rate simple interest 10% per annum for b months is:
a) ab/100 b) ab/120 c) ab/1200 d) ab/10
3) If the ratio of principal and yearly amount be in the ratio 25:28, then the yearly rate of interest?
a) 3% b) 12% c) 75/7% d) 8%
4) If the total intrest becomes Rs x for any principal having the rate of simple interest of x% per annum for x years then the principal will be
a) Rs x b) Rs 100x c) Rs 100/x d) Rs 100/x²
5) The total interest of a principal in n years at the rate of simple interest of r% per annum is pnr/25, The principal will be
a) Rs 2p b) Rs 4p c) Rs p/2 d) Rs p/4 d) none of these
6) If the intrest on Rs p at the rate of simple interest of r% per annum in t years is I, then
a) a= prt b) prt I= 100 x I c) prt= 100 x I d) none
7) A principal becomes twice of its amount in 20 years at a certain rate of simple interest. At that same rate of simple interest, that principal becomes thrice of its amount in
a) 30 years b) 35 years c) 40 years d) 45 years
8) A sum of Rs400 amounts to Rs480 in 4 years. What will it amount to if the rate of interest is increased by 2%.
a) Rs 484 b) Rs 560 c) Rs 512 d) none
9) An amount doubles itself in 5 years with simple interest. What is the amount of intrest rate per annum.
a) 10% b) 20% c) 25% d) 30%
10) If the simple interest of a principal for n years at r% p.a. be Rs pnr/100, then the principal will be _____.
11) The person who gives loan is called ______.
12) Amount of Rs 2P per t year at the rate of simple interest r/2% per annum (2P+ ______)Rs
13) If ratio of principal and amount for 1 year is 8:9, then the rate of simple interest per annum is ______.
COMPOUND INTEREST
1) At what rate of interest per annum will Rs2304 amount to Rs2500 in 2 years at compound interest?
a) 9/2% b) 21/5% c) 25/6% d) 13/3%
2) A person deposited Rs100 in a bank and got the amount Rs121 for two years. The rate of compound interest is
a) 10% b) 20% c) 5% d) 21/2%
3) In case of compound interest, the rate of compound interest per annum is
a) equal b) unequal c) both equal and unequal d) none
4) In case of compound interest
a) The principal remains unchanged each year
b) Principal changes in each year
c) Pricipal may be equal or unequal in each year
d) none
5) ) A person deposited Rs100 in a bank and gets the amount Rs121 after two years. The rate of compound interest is ____%
6) At same rate percent per annum, the simple interest and compound interest of same principle are same in _____ year.
7) A person depreciates at a certain rate over time its called _____.
8) Fixed amount Rupee fixed annual interest rate 1 year compound interest rate and simple interest rate_____.
9) With the passage of time, someone grows at a certain rate, it is called______
Partnership
1) In a partnership business, the ratio of share of profit of two friends is 1/2: 1/3, then the ratio of their principals is
a) 2:3 b) 3:2 c) 1:1 d) 5:3
2) Three partners shared in a business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
a) 5:7:8 b) 20:49:64 c) 38:28:21 d) none
3) The capitals of three friends in a partnership business are Rs200, Rs150 and Rs250 respectively. After some time the ratio of their profit share will be
a) 5:3:4 b) 4:3:5 c) 3:5:4 d) 5:4:3
4) Suvendu and Noushad started a business with capitals of Rs1500 and Rs1000. After a year there was a loss of Rs75, then the loss of Suvendu is
a) Rs45 b) Rs30 c) Rs25 d) Rs40
5) Amar and Aman started a business. Amar invested Rs500 for 9 months and Aman invested some money for 6 months. They make a profit of Rs69 in a year and Aman gets profit share of Rs46. The capital of Aman in the business is
a) Rs1500 b) Rs3000 c) Rs4500 d) Rs6000
6) Pallavi invested Rs500 for 9 months and Rajiya invested Rs600 for 5 months in a business. The ratio of their profits shares will be
a) 3:2 b) 5:6 c) 6:5 d) 9:5
7) Raman invests Rs 500 for 9 months in a business and David invests Rs600 for 5 months in the same business, the ratio of their profits will be _____.
8) A common business is of _____type
9) Barring any other condition, if the partner in a shared business invest the same principal amount for the same period of time, it is called a ____Shared Business.
10) Barring any other condition, when the partners in the business invest the principal amount of different times , it is called____Shared business.
11)
ALGEBRA
Quadratic equation
1) The product of two roots of the equation x²- 7x +3= 0 is:
a) 7 b) -7 c) 3 d) -3
2) Under what condition one root of the equation ax²+ bx + c = 0 is zero?
a) a= 0 b) b= 0 c) c= 0 d) none
3) 2x²- 3x - k + 2= 0 one root of the equation is zero. The value of k is
a) 2 b) -2 c) 1/2 d) -1/2
4) If two roots of equation x²+ 4x + k= 0 are equal, then the value of k is
a) 1 b) 2 c) 3 d) 4
5) If two roots of equation x²- 6x + k= 0 are real and unequal than what is the value of k ?
a) more than 6 b) less than 6 c) more than 9 d) less than 9
6) The sum of two roots of the equation x²- 6x +2= 0
a) 2 b) -2 c) 6 d) -6
7) If the product of two of the equation is x²- 3x + k= 10 is -2, what is the value of k ?
a) -2 b) -8 c) 8 d) 12
8) If two roots of the equation ax²+ bx + c= 0 (a≠ 0) be equal, then
a) c= -b/2a b) c= b/2a c) c= -b²/4a d) c= b²/4a
9) The root/s of equation x²/x = 6 is/are:
a) 0 b) 6 c) 0 and 6 d) -6
10) If two roots of the equation (k+1)x²+ 2kx + (k +2)= 0 are equal and negative then value of k is
a) 1 b) -1 c) 0 d) -2
11) If roots of the equation ax²+ bx + c= 0(c ≠ 0) are real and unequal than b² - 4ac will be
a) >0 b) =0 c) < 0 d) none
12) The number of roots in a quadratic equation is
a) one b) two c) three d) none
13) If ax²+ bx + c= 0 is a quadratic equation then
a) b≠ 0 b) c≠ 0 c) a≠ 0 d) none
14) The highest power of the variable of a quadratic equation is
a) 1 b) 2 c) 3 d) none
15) The equation 4(5x²- 7x +2)= 5(4x²- 6x +3) is
a) linear b) quadratic c) 3rd degree d) none
16) The roots of the quadratic equation ax²+ 2bx + c =0 (a≠ 9) are real and equal, than b² = ______
17) The equation (a -2) x²+ 3x +5= 0 will not be a quadratic equation for a =______
18) if in a quadratic equation ax²+ bx+ c= 0 (a≠ 0), b²= 4ac, then the roots of the equation will be real and_____.
19) if the sum and product of two quadratic conditions is a fundamental number, then both the conditions are ______.
20) 7 x² - 12 x + 18= 0. The ratio of the sum and the product of the roots of the equations _____
21) ax²+ bx + c = 0 (a≠ 0) if both the roots of the equation are mutually inverse (reciprocal), then c = ______
22) ax²+ bx + c = 0 (a≠ 0) if both the roots of the equation are mutually inverse (reciprocal) and negative, then c + a = ______
23) The product of three consecutive proportional positive numbers is 64, the proportional between them is ________.
Surds
1) If p+ q= √13 and p - q= √5 then the value of PQ is
a) 2 b) 18 c) 9 d) 8
2) If a+ b √5 and a - b =√3 then the value of a²+ b²
a) 8 b) 4 c) 2 d) 1
3) x= 2√3 then the value of x + 1/x
a) 2 b) 2√3 c) 4 d) 2- √3
4) Decreasing will result in failure is √125 to √5
a) √80 b) √120 c) √100 d) none
5) will be multiplied by (5- √3)(√3- 1)(5+ √3)(√3+1).
a) 22 b) 44 c) 2 d) 11
6) If the product and sum of two quadratic surds is a rational number, then the surds are _____ surd.
7) (√3 -5) The complement of surds is _____
8) 5√11 A_____ is a number.
Ratio and proportion
1) If a/3 = b/4 = c/7 then, the value of (a+ b+ c)/c
a) 1 b) 2 c) 3 d) 4
2) The mean proportional of 9 and 25 is
a) 20 b) 21 c) 41 d) 441
3) 3rd proportion of 8 au12 is
a) 12 b) 16 c) 18 d) 20
4) a is a positive number and a: 27/64 = 3/4 : a, then the value of a is
a) 71/256 b) 9 c) 9/16 d) 16/9
5) 2a = 3b =4c then the value of a: b: c is
a) 3:4:6 b) 4:3:6 c) 3:6:4 d) 6:4:3
6) a : 2 = b : 5 = c : 8 then, a 50% = b 20% = c _____%
7) (x - 2) and (x - 3) is proportional x to the mean of the x _____.
Variation
1) If x ∞ y, then :
a) x³ ∞ y³ b) x³ ∞ y² c) x ∞ y³ d) x² ∞ y²
2) x ∞y² and y= 4 when x= 8; x= 32 then, positive value of y
a) 4 b) 8 c) 16 d) 32
3) If y- z ∞ 1/x , z - x ∞ 1/y and x - y ∞ 1/z then, the sum of the three change constants will be
a) 0 b) 1 c) -1 d) 2
4) x ∞ 1/y then
a) x = 1/y b) y = 1/x c) xy = 1 d) xy = constant.
5) x ∞y and y= 8 when x= 2, if y= 16 then the value of x is
a) 2 b) 4 c) 6 d) 8
6) If x ∞y and y ∞ z then
a) z ∞x b) x ∞ yz c) x ∞y/z d) and z ∞ xy
7)
MENSURATION
CONES
1) If the ratio of the volume of two circular cones is 1:4 and the ratio of the ratio of radii of their basees is 4:5, then the ratio of their height is :
a) 1:5 b) 5:4 c) 25:16 d) 25:64
2) if the height of a cone is h unit, slant height I unit and the diameter of the base is d unit, then (l² - h²)/d²=?
a) 1/2 b) 1/3 c) 1/4 d) 1/5
3) if the slant height of a right circular cone is 15cm and the diameter of the base is 16 cm, then area of the lateral plane of the cone will be
a) 60π cm³ b) 68π cm³ c) 120π cm³ d) 130π cm³
4) The ratio of the volume of two right circular cone is 1:4 and the radius of their bases is 4:5, then ratio of their height will be.
a) 1:5 b) 5 :4 c) 25 : 16 d) 25: 64
5) keeping the radius of the base of a right circular cone the same and doubling its height, the increase in its volume will be --
a) 100% b) 200% c) 300% d) 400%
6) if the radius of a right circular cone is r/2 units and the slant height is 2L units, then the area of the total plane of the cone is
a) 2πr(L+ r) cubic unit
b) πr(L+ r/4) cubic unit
c) πr(L+ r) cubic unit
d) 2πrL cubic unit
CUBE AND CUBOID
1) if 2 cubes of length of each side 2√6 cm are side by side, then the length of the diagonal of the cuboid so are produced is
a) 10 cm b) 6cm c) 2cm d) 12cm
2) If side of a cube is a unit and the diagonal of the cube is d unit then the relation between a and a d will be :
a) √2 a = d b) √3 a = d c) √3 d = a d) √2 d = a
3) If each of radius of the base and height of a cone be doubled , then the volume of it will be
a) 3 times b) 4 times c) 6 times d) 8 times
4) The volume inside a rectangular box is 440cm³ and the area of the inner base is 88 cm³, then the inner height of the box is
a) 4cm b) 5cm c) 3cm d) 6cm
5) A rectangular put is 40m long, 12m wide and 16m deep. In this pit a plank 5m long, 4 m wide and 2 m high will be placed ?
a) 190 b) 192 c) 184 d) 180
6) The area of the lateral plane of a cube is 256 m², volume of the cube is
a) 64 m³ b) 216 m³ c) 256m³ d) 51m³
7) If the ratio of the volumes of the two cubes is 1:27 then the ratio of the area of the total surface area of both the cubes is
a) 1:3 b) 1:8 c) 1:9 d) 1:18
8) The area all the sides of a cube is S square unit and the length of the diagonal is d units, then the contact between S and d is
a) S= 6d² b) 3S= 7d c) S³= d² d) S/2 = d² e) none
9)
)
CYLINDER
1) if the ratio of the raddi of two right circular solid cylinder is 2:3 and the ratio of their height is 5:3, then the ratio of the areas of the sides is
a) 2:5 b) 8 : 7 c) 10:9 d) 16:9
2) if the ratio of the radii of two right circular solid cylinder is 2:3 and that of the height is 5:3, then the ratio of the volumes is
a) 27:20 b) 20:27 c) 4 :9 d) 9:4
3) Two right circular cylinders have equal volumes and the ratio of their heights is 1:2, then the ratio of their radii
a) 1:√2 b) √2: 1 c) 1:2 d) 2:1
4) If the radius of a right circular cylinder is half the length and twice the height, then the volume of the cylinder will be the volume of the initial cylinder.
a) equal b) double c) half d) four times
5) When the radius of a right circular cylinder is double and the height is halved , the area of the circle is the area of the original cylinder.
a) equal b) double c) half d) four times
6) If
SPHERE
1) If the ratio the volumes of two solid spheres is 1:8, then the ratio of the area of the sphere will be
a) 1:2 b) 1:4 c) 1:8 d) 1:16
2) The total surface area of a solid hemisphere of radius 7cm will be
a) 588π cm³ b) 392π cm³ c) 147π cm³ d) 98π cm³
3) if the ratio of the area of the sides of two solid spheres is 16:8, then the ratio of their volumes will be
a) 64:27 b) 4:3 c) 27:64 d) 3:4
4) If the area of the circle of a solid sphere and three times the volume have the same numerical value, then the length of the radius of the sphere is
a) one unit b) two unit c) three units d) four units
) One solid sphere is melted and solid right circular cylinder is made, then___ of sphere and the cylinder will be equal .
) Number of surfaces of a solid right circular cylinder is_____.
) The shape of a pencil with one end sharpened is the combination of a cylinder and a ___
) The number of plane surface of a solid hemisphere are _____
) ABC is the hypotenuse of the right angle AC triangle. Considering the side AB as an axis, the diameter of the right circular cone that will be formed in full circle of the triangle will be____
) if the volume of a right circular cone is V cubic units and the area of the base being A square units, the height will be ____.
) if the radius of the base of a right circular cylinder and a right circular cone are the same and their heights are also the same, then the ratio of their volumes will be___
) A solid sphere is melted to form a solid right circular cylinder. The volume of the sphere and the cylinder is ______
) The number of diagonals of rectangular solid is _____
) The length of the diagonal of a plane of a cube = _______ x length of one side.
) A rectangular paper has unit length and unit width. A rectangular paper is folded into a cylinder whose circumference is equal to the length of the paper____ curve of cylinder.
) The length of the radius of the base of a solid right circular cylinder and two hemispheres are equal. If two hemisphere are placed side by side with the plane of the cylinder, then what is the shape of the new solid object = area of the plane of a hemisphere + _____ area of the curve of + the area of the curve of the second hemisphere .
) if the diameter of the circular pipe is 3 cm and height is 4 cm, then the length of the longest pole that will be placed inside the pipe is_____ cm
) If the volume of a right circular cylinder and the area of the curved plane have the same number of values, then the length of the diameter of the cylinder is ____
)
GEOMETRY
Circle
1) The length of the two chords AB and CD of a circle of centre O are equal and angle AOB =60°, then angle COD is:
a) 40 b) 30 c) 60 d) 90
2) if of the centre of a circle and AB is a diameter. ABCD is a cyclic quadrilateral. Angle ABC= 65°, Angle DAC = 40°, then the measure of angle BCD is
a) 75 b) 105 c) 115 d) 80
3) If angle A= 100° of a cyclic quadrilateral ABCD, then the value of angle C is
a) 50 b) 80 c) 180 d) 200
4) The number of common tangents of two circles when they is do not touch or intersect each other is
a) 2 b) 1 c) 3 d) 4
5) The length of the radius of the circle is 13cm and the length of a chord of the circle is 10cm, the distance of the chord from the centre of the circle is
a) 12.5cm b) 12cm c) √69cm d) 24 cm
6) The centre of two concentric circle is O; a straight line intersects a circle at a point A and B and the other circle at point C and D. If AC= 5cm, then the length of BD is
a) 2.5cm b) 5cm c) 10 cm d) none
7) The distance between two parallel chords of length 8cm each in a circle of diameter 10 cm is
a) 6 cm b) 7cm c) 8cm d) 5.5 cm
8) In the adjoining figure,
a) 70 b) 60 c) 40 d) 200
9) In the adjoining figure,
a) 60 b) 50 c) 100 d) 80
10) In the adjoining figure,
a) 35 b) 70 c) 65 d) 55
11) If AB is a diameter of a circle with centre O and C is a point on the circumference such that angle BOC = 60°, 25 then the value of Angle AOC is
a) 60 b) 30 c) 120 d) 90
12) In the adjoining figure,
a) 80 b) 50 c) 25 d) 40
13) In the adjoining diagram p,
, angle AEC= 38, then the value of angle AXB is
a) 56 b) 86 c) 38 d) 28
14) In the adjoining diagram,
a) 50 b) 60 c) 30 d) 40
15) in the diagram in beside
a) 20 b) 88 c) 108 d) 72
16) In the adjoining figure,
a) 65 b) 45 c) 40 d) 20
17) If sum of two angles is _____, then they are called supplementary angles.
18) If the bases of two triangles are situated on same line and the other vertex of the two triangles are common, then the ratio of the areas of two triangles are ____to the ratio of their bases.
19) if ABCD is a cyclic parallelogram then angle A is_____
20) If the length of the sides of two triangles are in proportion, then two triangles are___
21) If booth the angles made by an Arc in the same arc are equal, then the length of both the arcs is_____
22) a contiguous parallelogram is a_____
23) The vertices of a square figures are_____
24) If a straight line intersects a cut at 2 points , then the straight line is called the ____ of the cut.
25) Due to the ratio of the lengths of the two chords PQ and RS in the O central circle, 1:1 angle POQ : Angle ROS= ______
26) The parapendicular bisector of a chord of a chord is_____
27) ngles lying in the same vese are_____
28) If the line segment joining two points makes equal opposite angles to the other two points on the same side, then the 4 points will be_____
29) Two triangles are similar if their ____sides are proportional .
30) If a straight line intersects the circles at two points, then the straight line is called _____ of circle.
31) Two circles touch each other externally at the point A . A common tangent drawn to the two circles at the point A is _____common tangent (direct/ transverse).
32) if AOB is the diameter of a circle and C and D are two different points on the circumference not on the same side of AB, such that angle AOC =130, then the value of angle CDB will be_____
33) The line segment parallel to any side of a triangle is divides other two sides or the extended two sides.______
34) The perpendicular bisector of any chord of the circle is___ of that circle.
35) The angle in the segment of a circle which is less than a semicircle is an____ angle.
36) three circles cannot interesect each other at more than___ point/s
37) The distance between the centres of two circles with radii 9cm and 16cm is 25cm. The length of the segment of the tangent between them is _____cm.
38) In ∆ABC, angle A= angle B= 60°, AC= 8cm. The lines AD and BD intersect at D with D = 90°. If DB= 2cm then the length of AD is _____cm.
39) if an exterior angle of a cyclic quadrilateral be 50°, then the interior opposite angle is_____.
40) If PQ is the diameter of a circle with centre O and R is a point on the circumference such that angle ROQ= 120, then the value of angle ORP is______
41) The circle drawn with the hypotenuse of a right angle triangle as diameter passes through the ______
42) The straight lines passes to the parallel sides of a trapezium devides___ other two sides.
43) If the opposite angles of a quadrilateral be supplementary then the vertices of the quadrilateral will be ______
44) The vertices of a cyclic squares are _____.
Pythagoras theorem
1) A person goes 24m West from a place and then he goes 10m north. The distance of the person from the starting point is
a) 34 m b) 17m c) 26m d) 25m
2) Two rods of 13m length and 7m length are situated perpendicularly on the ground and distance between their feet is 8m. The distance between their top parts is
a) 9m b) 10m c) 11m d) 12m
) I is the incentre of ∆ABC, angle ABC =60 and angle ACB =50. then angle BIC is
a) 55 b) 125 c) 70 d) 65
TRIGONOMETRY
1) If sinθ - cos θ = 0°(0°≤ θ≤ 90°) and secθ + cosec θ = x, then the value of x is
a) 1 b) 2 c) √2 d) 2√2
2) If tanθ + cot θ = 2, then the value of tan¹³θ + cot¹³ θ is
a) 1 b) 0 c) 2 d) none
3) If cotθ = 4/7.5; then cosec θ =
a) 7.5/4 b) 8/17 c) 17/15 d) 15/17
4) If 2x = secA and tanA= 2/x, then the value of 2(x²- 1/x²) is
a) 1/2 b) 1/4 c) 1/8 d) 1/16
5) The value of (sin13. Cos47+ cos43. Sin47) is
a) 0 b) 1 c) sin4 d) cos4
6) If tanθ = 4/5, then cos θ =
a) 4/5 b) 3/5 c) 3/4 d) 5/√41
7) If sinθ = 1/√2, then sec θ =
a) 0 b) 1 c) 2 d) none
8) The circular measure of an angle of an isosceles triangle is 5π/9; the circular measure of a one of the other angles must be--
a) 5π/18 b) 5π/9 c) 2π/9 d) 4π/9
9) The value of (tan 35/ cot55 + cot 78/tan12) is
a) 0 b) 1 c) 2 d) none
10) ABC is a triangle, then sin{(B+ C)/2} =
a) sin(A/2) b) cos(A/2) c) sinA d) cosA
11) The simplest value of cos53/ sin37 is_____
12) If tan 35° tan 55= sin θ, then the lowest positive value of θ will be ____
13) cos² θ - sin²θ= 1/x (x > 1), then cos⁴θ - sin⁴θ= ____.
14) The value of (sin 12 x cos18 x sec 78 x cosec 72) is _____
15) The value of (tan 15 x tan45 x tan60 x tan78) is_____
16) cos = √3/2, then sin 2θ= ______
17) if tanθ =4/5, then sinθ= _____
18) if sinθ = 1/2 then cos2θ= _______
19) secθ + tanθ = 2 +√5 then the value of (sinθ + cosθ) is______
20) The value of (4/sec²θ + 1/(1 + cot²θ) + 3 sin² θ) is _____
21) if sinθ= 1/2, then tan2 θ= _____
22) if sin( θ- 30°)= 1/2, then the value of cosθ is ____
)
Height and Distance
1) Height of tower is 100√3 metres . The angle of elevation of the top of the tower from a point at a distance of 100 m from the foot of the tower is
a) 30 b) 45 c) 60 d) none
2) If the sun's angle of elevation increases from 30° to 60°, the length of the shadow of a post ____.(decreases/ increases)
3) If the angle of elevation of the sun is 45 then, the length of shadow and length of posts are ____.
ARC and MEASURE
1) The end point of the minute hand of a clock rotates in one hour.
a) π/4 radian b) π/2 radian c) π radian d) 2π radian
2) The measurement of θ in relation to s= rθ is determined by
a) Sexagesimal system b) Circular system c) both of these d) none of these
3) The circular value of the supplementary angle of the measure 3π/8 is ____.
4) π radian is a _____ angle.
STATISTICS
1) The medium of the data: 11, 29, 17, 21, 13, 31, 39, 19 is
a) (19+29)/2 b) 19 c) 21 d) none
2) Mode is the
a) least frequent value
b) middlemost value
c) most frequent value
d) largest value
3) The mode of the data 1, 2, 3, 4, 5, 6, 7 is
a) 4 b) 6 c) 7 d) none
4) median of a frequency distribution can be obtained from
a) pie diagram b) histogram c) frequency polygon d) give
5) trhe median of 1, 5, 9, 3, 8, 7 is
a) 5 b) 7 c) 8 d) 5 and 1 both
6) If the median after arranging in ascending order of the data : 8, 9, 12, 17, x + 2, x + 4, 30, 31, 34, 39 is 15, the value of x is
a) 22 b) 21 c) 20 d) 24
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