問題一覧
1
If x=2+√3, the value of x+1/x is
4
2
If p+q=√13 and p-q =√5, then the value of pq is
2
3
if a+b=√5 and a-b=√3, the value of a²+b² is
4
4
If we subtract √5 from √125, the. value is
√80
5
The product of (5-√3) (√3-1) (5+√3) (√3+1) is
44
6
The number of roots of a quadratic equation are
Two
7
If ax²+bx+c=0 is a quadratic equation, then
a≠0
8
The equation 4(5x²-7x+2)=5(4x²-6x+3) is
Linear
9
The root/two roots of the equation x²/x=6
0&6
10
The highest power of the variable in a quadratic equation is
2
11
The sum of the two roots of the equation x²-6x+2=0 is
6
12
If the product of the two roots of the equation x²-3x+k=10 is -2, then the value of k is
-2
13
if the two roots of the equation ax² + bx + c =0 (a≠0) are real and unequal, then b²-4ac will be
>0
14
If the two roots of the equation ax²+bx+c=0 (a≠0) be equal, then
c=b²/4a
15
if the two roots of the equation 3x² + 8 x + 2 = 0 be α and β, then the value of (1/α+1/β) is
-4
16
if the interest of rupees p @ simple interest of r % per annum in t years is I, then
prt=100
17
A principal becomes twice of its amount in 20 years at a certain rate of simple interest. At the same rate of simple interest that very principal become thrice as its amount in
40 yrs
18
if a principal becomes twice as its amount in 10 years., the rate of simple interest per annum is
5%
19
if the total interest comes up to rupees x for a principal for the rate of simple interest of x% per annum in x years then the principle will be
₹ 100/x
20
The total interest of a principal in n years at the rate of simple interest of r% per annum is pnr/25, the principle will be
₹ 4p
21
The length of two chords AB and CD of a circle with centre O are equal. If ∠AOB=60⁰, then the value of ∠COD is
60⁰
22
The length of a radius of a circle is 13 cm. and the length of a chord of a circle is 10 cm the distance of the chord from the centre of the circle is
12 cm
23
AB and CD are two equal chords of a circle with its centre O. If the distance of the chord AB from the point O is 4 cm. then the distance of the chord CD from the centre O of the circle is
4 cm
24
The length of each of two parallel chords AB and CD is 16 cm. If the length of the radius of the circle is 10 cm then the distance between two chords is
12 cm
25
The centre of two concentric circles is O a straight line intersects a circle at the point A and B and other circle at the point C and D. If AC = 5 cm then the length of BD is
5 cm
26
the inner volume of a cuboidal box is 440 cc. and the area of inner base is 88 square centimetre the inner height of the box is
5 cm
27
the length, breadth and height of a cuboidal hole are 40 m 12 m and 16 m respectively. the number of planks having the height of 5 m the breadth of 4 m and the thickness of 2 m can be kept in that hole is
192
28
the side surface area of a cube is 256 square metre the volume of the cube is
512 m³
29
the ratio of the volume of two cubes is 1:27 the ratio of total surface areas of two cubes is
1:9
30
the total surface area of a cube is s square unit and the length of the diagonal is d unit then the relation between s and d is
d²=s/2
31
The fourth proportional of 3,4 and 6 is
8
32
The 3rd proportional of 8 and 12 is
18
33
The mean proportional of 16 and 25 is
20
34
a is a positive number and if a:27/64=3/4:a, then the value of a is
9/16
35
if 2a = 3b = 4c, then a:b:c is
6:4:3
36
In case of compound interest, the rate of compound interest per annum is
both equal or unequal
37
In case of compound interest
Principal changes in each year
38
At present the population of a village is p and if increase rate of population per year be 2r% the population will be after n years
p (1+r/50)n
39
Present price of a machine is rupees 2P and if price of the machine decreases by 2r% in each year the price of machine after 2n years will be
₹ 2p (1– r/ 50)2n
40
A person deposited rupees 100 in a bank and got the amount rupees 121 for 2 years the rate of compound interest per annum is
10%
41
In the adjoining figure, if O is the centre of circle and PQ is a diameter then the value of x is
20
42
In the adjoining figure if O is the centre of circle, then the value of x is
70
43
In the adjoining figure, if O is centre of curvature and BC is the diameter then the value of x is
50
44
O is the circumcentre of ∆ABC and ∠OAB = 50°, then the value of ∠ACB is
40°
45
In the adjoining figure, if O is centre of circle, the value of ∠PQR is
60°
46
In the adjoining figure, O is the centre of the circle, if ∠ACB = 30°, ∠ABC = 60°, ∠DAB = 35° and ∠DBC = x°, the value of x is
55
47
in the adjoining figure O is the centre of the circle, if ∠BAD = 65°, ∠BDC=45°, then the value of ∠CBD is
20°
48
In the adjoining figure, the O is the centre of the circle, if ∠AEB=110° and ∠CBE=30°, the value of ∠ADB is
80°
49
In the adjoining figure, O is the centre of the circle, if ∠BCD=28°, ∠AEC=38°, then the value of ∠ACB is
86°
50
In the adjoining figure, O is the centre of the circle and AB || CD. ∠ABC = 25°, the value of ∠CED is
40⁰
51
PQ is the diameter of a circle with centre O, and PR = RQ, the value of ∠RPQ is
45⁰
52
QR is a chord of a circle and PQR is a diameter of a circle. OD is a perpendicular on QR. If OD = 4cm, the length of PQ is
8 cm
53
AOB is a diameter of a circle. The two chords AC and BD when extended meet at the point E. If angle COD is equals to 40 degree the value of angles CED is
70⁰ 🤔
54
AOB is a diameter of a circle. If AC = 3cm, BC = 4cm, then the length of AB is
5cm
55
In the adjoining figure, O is centre of circle & AB is a diameter, if ∠BCE = 20⁰, ∠CAE = 25⁰, the value of ∠AEC is
45⁰
56
If the length of radii of two solid write circular cylinder are in the ratio 2:3 and their heights are in the ratio 5:3 then ratio of the area of their lateral surfaces is
16:9
57
If the length of radii of two solid right circular cylinder are in the ratio 2:3 and their height are in the ratio 5:3, then the ratio of their volume is
20:27
58
If volumes of two solid right circular cylinder are same and their height are in the ratio 1:2 then the ratio of length of radii is
√2:1
59
in a right circular cylinder if the length of radius is halved and height is doubled, volume of cylinder will be
half
60
if the length of radius of a right circular cylinder is doubled and height is halved, the lateral surface area will be
equal
61
If x = 2+√3, the value of x+1/x is
4
62
If p+q =√3 and p–q = √5, then the value of pq is
2
63
If a+b =√5 and a–b = √3, the value of (a²+b²) is
4
64
If we subtract √5 from √125, the value is
√80
65
The product of (5– √3)(√3–1)(5+√3)(√3+1) is
44
66
In the adjoining figure, O is the centre of circle and AB is a diameter. ABCD is a cyclic quadrilateral. If ∠ADC = 120⁰, the value of ∠BAC is
30⁰
67
In the adjoining figure, O is the centre of the circle and AB is a diameter. ABCD is a cyclic quadrilateral. If ∠ABC = 65⁰, ∠DAC = 40⁰ the value of ∠BCD is
115⁰