1. BULLS EYE
QUIZ-1
Q.1 In thediagram,ABCD is a parallelogram, and BFDE is a square. If
AB = 20 cm and CF = 16 cm, what is the perimeter of the
parallelogramABCD?
(A) 86 cm (B) 92 cm
(C) 96 cm (D) 106 cm
Q.2 Giventhreesegmentsoflengthx,11–x,andx –4,respectively.Which ofthefollowingindicatestheset
of all numbers x such that thethree segments couldbethelengths ofthe sides of atriangle?
(A) x > 4 (B) 5 < x < 7 (C) 4 < x < 11 (D) 0 < x < 11
Q.3 Arhombus is formed bytworadiiand two chords ofa circlewhoseradius is16 cm. Find thearea of the
rhombus.
(A) 3
128 cm2 (B) 128 cm2 (C) 256 cm2 (D) 3
256 cm2
Q.4 Two congruent 30° – 60° – 90° triangles are placed, as shown, so that
theyoverlappartlyandtheirhypotenuses coincide.Ifthehypotenuseis
12cm, findthearea common toboth triangles.
(A) 3
6 cm2 (B) 3
8 cm2
(C) 3
9 cm2 (D) 3
12 cm2
Q.5 Acirculararchhaving width24m andheight 9m isto be constructed. Whatis the radius ofthecircleof
which the archis an arc?
(A)10m (B) 12.5 m
(C) 13.5m (D)14m
QUIZ-2
Q.1 The minute hand of a clock travels k radians from 1 pm to 2.35pm. The value of k is ________.
Q.2 The number palindrome 1 2 3 4 3 2 1 is a perfect square. Its positive root is _____.
Q.3 Thereal number
2
3
12
75






  whenexpressed in thesimplest form is equal to
(A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5
Q.4 The sum ofthe solutions on theinterval (0, 2] to the equation:
0 = –   






 

x
cos
x
sin
x
sin
x
cos
2
x
sin
2
3
2
2 , is (cos x  0 )
(A) 3 (B) 4 (C) 5 (D) 6
Q.5 Twicethemeasureofthesupplement ofan angleisadded tothreetimesthemeasureofthecomplement
of the same angle. The sum is the measure of an interior angle of a regular nine-sided polygon. The
measureofthesupplement oftheangle, is
(A) 82° (B) 72° (C) 98° (D) 108°
MATHEMATICS
Quiz from 1 to 5

2. Q.6 Let XOY be a right triangle with XOY = 90°. Let M and N be the midpoints of legs OX and OY
respectively. If XN = 19 andYM = 22, then XYequals
(A) 26 (B) 5
13 (C) 32.5 (D) 41
QUIZ-3
Q.1 If (1, 2) is one of the points of intersection of the graphs of ax2 + by2 = 5 and bx2 + ay2 = 5, then find
a + b.
(A) 2 (B) 3 (C) 4 (D) 5
Q.2 Given parallelogramABCD, withAB = 10,AD = 12 and BD = 13
2 .The length of (AC) is
(A) 10 (B) 13
2 (C) 3
12 (D) 109
2
Q.3 The continued fraction
.
..........
2
1
2
1
2
1
2



 , has the valueequal to
(A) 1 (B) 5/4 (C) 3/2 (D) 7/4
Q.4 If x2 – xy + y2 = a and x3 + y3 = b then xy =
(A) 2
2
a
b
– 1 (B)
3
b
a
3
b
2
2
 (C) 2
3
2
a
3
a
b 
(D)
a
3
b
2
a 3
2

Q.5 Asquareandanequilateraltrianglehavethesameperimeter.LetAbetheareaofthecirclecircumscribed
about the square and B be the area of the circle circumscribed about the triangle.The ratioA/B equals
(A) 9 : 16 (B) 3 : 4 (C) 27 : 32 (D) 6
3 : 8
Q.6 ABC is arighttrianglewithhypotenuseABandAC =15cm.Altitude
CH dividesABinto segmentsAH and HB, with HB =16cm.The area
of ABC, is
(A) 120 cm2 (B) 144cm2 (C) 150cm2 (D) 216cm2
QUIZ-4
Q.1 Threeidenticalsquaresareplaceside-by-sideasindicatedinthefigure.
Linesarethendrawn from OtoAandfromOtoB. Findthemeasureof
angleAOC plus angle BOC, is ________.
Q.2 The number 308
18 can be written in the form b
a  where a and b are whole numbers and
a > b. The value of (a – b), is
(A) 4 (B) 12 (C) 16 (D) 18
Q.3 Consider the eightdigit numberN =11115556.Which of the followingstatements are true?
I. N isdivisible by11
II. N – 9 is a prime
III N is a perfect square
(A) I (B) II (C) III (D) I, II and III

3. BULLS EYE
Q.4 If 0 < x < 2 and 2tan x = 4sin x then the number of value of x is ________.
(A) 1 (B) 2 (C) 3 (D) 4
Q.5 The valueoftheseries
1 + 2 – 3 – 4 + 5 + 6 – 7 – 8 + 9 + ... – 99 – 100, is
(A) –100 (B) 0 (C) 1 (D) 100
QUIZ-5
Q.1 Thesumofthedigits oftheintegral solution oftheequation 1
x
32
14 

 =4 is
(A) 785 (B) 765 (C) 20 (D) 18
Q.2 Giventhefollowingsystemofequations
3
1
y
1
x
1

 ;
5
1
z
1
x
1

 ;
7
1
z
1
y
1


The value of the ratio
y
z
is
(A) 17 (B) 23 (C) 29 (D) 31
Q.3 The equation
2
x
2 = 162x – 3 has twosolutions. Their sum is
(A) 0 (B) 2 (C) 6 (D) 8
Q.4 If sin2x + sin x cos x – 6cos2x = 0 and 0
x
2



 , then the value of tan x, is
(A) 0 (B) – 3 (C) 2 (D) –6
Q.5 If sin  =
13
5
 and  is in Quadrant III, then the value of 




 
2
cos , is
(A)
13
6
 (B)
26
1
(C)
12
5
 (D)
26
26

ANSWERS
QUIZ-1
Q.1 C Q.2 B Q.3 A Q.4 D Q.5 B
QUIZ-2
Q.1
18
57
Q.2 1111 Q.3 B Q.4 A Q.5 A
Q.6 A
QUIZ-3
Q.1 A Q.2 D Q.3 A Q.4 C Q.5 C
Q.6 C
QUIZ-4
Q.1 45° Q.2 A Q.3 C Q.4 B Q.5 D
QUIZ-5
Q.1 C Q.2 C Q.3 D Q.4 B Q.5 D

4. BULLS EYE
MATHEMATICS
Quiz from 6 to 9
QUIZ-6 (CLASS-XI)
Q.1 The value of the expression
x
3
sin
x
5
sin
x
3
cos
x
5
cos


at x = /8, is _______.
Q.2 If y= 2 sin 




 


2
x
2 – 1 then the largest possible value of yfor all real x, is
(A) 1 (B) 2 (C) 3 (D) 0
Q.3 Which of statements I, IIand III and IV below are true?
I cos  = cos(–) for all angles .
II sin =sin(–)forall angles .
III cos  = cos(–) for some angles .
IV sin  =sin(–)forsomeangles .
(A) I, III, IV but not I (B) I and III but not II or IV
(C) I and IV but not II or III (D) III and IV but not II or III
Q.4 Numberofsides ina polygonifthe sum of its interiorangles is2520°, is
(A) 14 (B) 16 (C) 18 (D) 20
Q.5 SupposeABCDisaquadrilateralinscribedinacircle.Thenamongthefollowingidentitieshowmanyare
always true.
I sinA=sinC
II sinA + sinC = 0
III cosB + cosD = 0
IV cosB = cosD
(A) 0 (B) 1 (C) 2 (D) 3
Q.6 Valueofsin 705° is
(A)
4
2
6 
(B)
4
6
2 
(C)
4
2
3 
(D)
2
3
1
QUIZ-7 (CLASS-XI)
Q.1 If the base of a triangle is increased %
6
.
66 and the altitude to this base is decreased 40% then the
change inthearea ofthetriangle, is
(A) 1% increase (B) 0% increase (C) 1/2% decrease (D) 1% decrease
Q.2 The value of the parameter m for whichthe equation
1
x
3
2
x


=
m
x
6
1
x
2


has no solution for x, is
(A) 12 (B) 18 (C) 14 (D) 13
Q.3 The value of x such that 4(1 + y)x2 – 4x + 1 – y = 0 is true for all real values of y, is
(A) – 1/2 (B) – 2/3 (C) 2/3 (D) 1/2
Q.4 Knowing that 2 is a solution of the equation 6x3 – 25x2 + 32x – 12 = 0, the sum of the other two
solutions,is
(A) – 12/5 (B) 12/5 (C) – 13/6 (D) 13/6

5. BULLS EYE
Q.5 Suppose that x&yarenumberssuchthat sin(x+y)=3/10andsin (x – y)=1/2. Thevalueofsinx·cosy
is
(A) 0.1 (B) 0.2 (C) 0.3 (D) 0.4
Q.6 A circle of area 20 is centered at the point indicated bya solid dot in the
accompanying figure. Suppose that ABC is inscribed in that circle and
has area 8. The central angles ,  and  are as shown. What is the value
of sin  + sin  + sin ?
(A)
5
4
(B)
4
3
(C)
3
2
(D)
2

QUIZ-8 (CLASS-XI)
Q.1 Solve for x, given that 3x + 2 = 3x + 216.
Q.2 A rectangular closed box (shown) with dimensionsa, 2aand 1
hasasurfaceareaof 54, whereaisan integer. Determinethe
volumeof thebox.
Q.3 Compute the sum of the first 99 terms of the series (a > 0, a  1)
logaa – logaa2 + logaa3 – logaa4 + logaa5 – logaa6 + ...........
Q.4 In the figure, each region T represents an equilateral triangle
andeachregionSasemicircle.Thecompletefigureisasemicircle
ofradius6withitscentreO.Thethreesmallersemicirclestouch
the large semicircleat pointsA, Band C.What is the radius of
asemicircleS?
Q.5 The lengths of the sides of triangleABC are 60, 80 and 100
with A=90°.The lineAD divides triangleABC into two
triangles ofequal perimeter. Calculatethelength ofAD.
QUIZ-9 (CLASS-XI)
Q.1 If a + b = 1 and a2 + b2 = 85, then the value of (a3 + b3), is
(A) 127 (B) 173 (C) 154 (D) 321
Q.2 Theset ofvalues ofkforwhichthesum of theroots ofP(x)=4x2 +k2x +k is equal totwice theproduct
of theroots is
(A) {–2} (B) {–2, 0} (C) {0} (D) {2}
Q.3 If b
a = 4
3 and c
b = 9
8 and d
c = 3
2 , then 2
b
ad is equal to
(A)
81
64
(B)
84
61
(C)
64
81
(D)
61
84
Q.4 Numberofdiagonalsin a regularpolygon with 20 sides, is
(A) 170 (B) 180 (C) 190 (D) 200
Q.5 If two real numbers x and y satisfythe equation y
x = x – y, then which of thefollowingis true?
(A) Bothx and ymust be rational. (B) It is possible that y= 1.
(C) Bothx and ymust be irrational. (D) x  4 or x  0
Q.6 Solve 3
3
28
x
6
28
x
6 

 = 2.

6. BULLS EYE
QUIZ-10 (CLASS-XI)
Q.1 Johnhas takenn tests.If hereceives71 onthenext test, hisaveragewill beexactly83. Ifhereceives 99,
then the averagewill be exactly87 then the the value of n, is
(A) 6 (B) 5 (C) 8
(D) thereis not enoughinformation providedto answerthequestion
Q.2 If x + y = 1 and x2 + y2 = 4, then what x3 + y3 equal?
(A)
2
11
or
2
5
(B) 10 (C)
2
5
(D)
2
11
Q.3 Findthenumberoftriangles withsides of integerlength whoseperimeteris 10.
(A) 4 (B) 3 (C) 2 (D) 0
Q.4 If a and b are positive real numbers such that b > a, and c and d are negative real numbers such that
d>c, then whichofthefollowingstatements must betrue?
I
d
b
>
c
a
II b – d > a – c III (a + d)(b + c) > (a + c)(b + d)
(A) onlyI (B) onlyII (C) onlyIII (D) onlyII and II
Q.5 Aand B are points on the circumferenceof a circle of radius r and centre O. If the distance betweenA
and B is r, findthe measureof angleAOBin radian.
Q.6 Threemutuallytangent circles of equal radius two, are shownin the
figure. Find thearea of the shadedportion between the three circles.
QUIZ-11 (CLASS-XI)
Q.1 If x > 0 such that x +
x
1
= 4 then the value of x3 + 3
x
1
is
(A) 60 (B) 52 (C) 64 (D) 12 (E)none
Q.2 Simplify:

1
3
1
2
1
3
1
2



 .
(A) 1 +
3
3
2
(B)
2
1
29 
(C)
3
14
1 (D) 1 +
3
15
Q.3 A marble of diameter 2 is dropped into a conical cup of height 4 and radius 3. When it gets stuck, how
high is the bottom of themarble above the vertex of the cone?
(A) 1/3 (B) 3
2 (C) 3
2 (D) 3
3
Q.4 Evaluate: 33
16
8
4
2
2
1
)
1
2
)(
1
2
)(
1
2
)(
1
2
)(
1
2
( 





(A) 1/4 (B) 1/2 (C) 1 (D) 2
x
1
x
8
4




 2

7. BULLS EYE
Q.6 Solvesystem ofequations
x + 2y – z = 5
3x + 2y + z = 11
(x + 2y)2 – z2 = 15
ANSWERS KEY
Quiz-10 (Class-XI)
Q.1 A Q.2 D Q.3 C
Q.4 C Q.5 /3 Q.6 
 2
3
4
Quiz-11 (Class-XI)
Q.1 B Q.2 D Q.3 C
Q.4 B Q.5 2 Q.6 x = 4; y = 0; z = – 1