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Worksheets10 maths unit 1 to 4 EM
Total questions: 65
Worksheet time: 33mins
1
2
3
4
8
20
12
16
(AXC) ⊂ (BXD)
(BXD) ⊂ (AXC)
(AXB) ⊂ (AXD)
(DXA) ⊂ (BXA)⊂
3
2
4
8
{2,5,3,7}
{2,3,5,7,11}
{4,9,25,49,121}
{1,4,9,25,49,121}
(2,-2)
(5, 1)
(2, 3)
(3, -2)
mn
nm
2mn-1
2mn
(8, 6)
(8, 8)
(6, 8)
(6, 6)
3/2x2
2/3x2
2/9x2
1/6x2
7
49
1
14
{0,2,3,4,5}
{-4,1,0,2,7}
{1,2,3,4,5}
{0,1,2}
f(xy) = f(x).f(y)
f(xy) ≥ f(x).f(y)
f(xy) ≤ f(x).f(y)
none of the above
(-1, 2)
(2, -1)
(-1, -2)
(1, 2)
Euclid's division lemma state that for positive integers a and b, there exist unique integers q and r such that a=bq+r, where r must satisfy
1<r<b
0<r<b
0≤r<b
0<r≤b
Using Euclid's division lemma, if the cube of any positive integer is divided by 9 then the poible remainders are
0, 1, 8
1, 4, 8
0, 1, 3
9, 3,5
If the HCF of 65 and 117 is expressible in the form of 65m_117, then the value of m i
4
2
1
3
The sum of the exponents of the prime factorization of 1729 is
1
2
3
4
The least number that is divisible by all the number from 1 to 10 ( both inclusive) is
2025
5220
5025
2520
74k ≡ _____(mod 100)
1
2
3
4
Given F1 = 1, F2 = 3 and Fn = Fn-1 +Fn-2 then F5 is
3
2
8
11
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be term of this A.P
4551
10091
7881
13531
If 6 times of 6th term of an A.P. is equal to 7th term, then the 13th term of the A.P is
0
6
7
13
An A.P. consists of 31 terms. If its 16th term is m, then the sum f all the terms of this A.P. is
16m
62m
31m
31/2m
In an A.P., the first is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
6
7
8
9
If A=265 and B=264+263+262+....+20 which of the following is true?
B is 264 more than A
A and B equal
B is larger than A by 1
A is larger than B by 1
The next term of the sequence 3/16, 1/8, 1/12, 1/18,.... i
1/24
1/27
2/3
1/81
If the sequence t1, t2, t3,... are in A.P. then the sequence t6, t12, t18,... is
a Geometric Progression
an Arithmetic Progression
neither an Arithmetic Progression nor a Geometric Progression
a Constant sequence
The value of (13+23+33+.....153) - (1 + 2 +3 +.....15) is
14400
14200
14280
14520
A system of three equation in three variables is inconsistent if their planes
intersect only at a point
intersect in a line
coincides with each other
do not intersect
The solution of the system x+y-3z = -6, -7y+7z = 7, 3z = 9 is
x=1, y=2, z=3
x=-1, y=2, z=3
x=-1, y=-2, z=3
x=1, y=-2, z=3
If (x-6) is the HCF of x2-kx-6 then the value of k is
3
5
6
8
3y-3/y ÷ 7y-7/3y2 is
9y/7
9y3/(21y-21)
21y2-2y+21/3y2
7(y2-2y+1)/y2
y2 + 1/y2 is not equal to
y4+1/y2
(y + 1/y)2
(y - 1/y)2 + 2
(y - 1/y)2 - 2
x/x2-25 - 8/x2+6x+5 gives
x2-7x+40/(x+5)(x-5)
x2-7x+40/(x+5)(x-5)(x+1)
x2-7x+40/(x2-25)(x+1)
x2+10/(x2-25)(x+1)
The square root of 256x8y4z10/25x2y6z6 is equal to
16/5 |x2z4/y2|
16 |y2/x2z4|
16/5 |y/xz2|
16 |xz2/y|
Which of the following should be added to makes x4+63 a perfect square
4x2
16x2
8x2
-8x2
The solution of (2x-1)2 = 9 is equal to
-1
2
-1, 2
none of these
The value of the a and b if 4x4-24x3-76x2 +ax+b is a perfect square are
100, 120
10, 12
-120, 100
12, 10
If the root of the equation q2x2+p2x+r2 =0 are thesquare of the roots of the equation qx2+px+r =0 , then q, p, r are in _____
A.P
G.P
Both A.P and G.P
none of tese
The Graph of a linear equation is a ____
straight line
circle
parabola
hyperbola
The number of points of intersection of the quadratic polynomial x2+4x+4 with the X axis is
0
1
0 or 1
2
2x3
3x2
3x4
4x3
If A is a 2x3 matrix and B is a marix, how many columns does AB have
3
4
2
5
If number of columns and rows are not equal in a matrix then it is said to be a
diagonal matrix
rectangular matrix
square matrix
identity matrix
Transpose of column matrix is
unit matrix
diagonal matrix
column matrix
row matrix
i and ii only
ii and iii only
ii and iv only
all of these
i and ii only
ii and iii only
iii and iv only
all of these
If in the triangle ABC and EDF, AB/DE = BC/FD then they will be similar,
∠B = ∠E
∠A = ∠D
∠B = ∠D
∠A = ∠FR5T
In ⊿LMN, ∠L = 600 , ∠M = 500. if ⊿LMN ∼ ⊿PQR then the value of∠R is
400
700
300
1100
If ∆ABC is an isosceles triangle with ∠C = 900 and AC = 5cm, then AB is
2.5cm
5cm
10cm
5√2am
In a given figuer ST||QR, PS = 2cm and SQ = 3cm. Then the ratio of the area of ∆PQR to the area of ∆PST is
25:4
25:7
25:11
25:13
The perimeter of two similar triangle ΔABC and ΔPQR are 36cm and 24cm respectively. If pq=10cm, then the lenght of AB is
6 2/3 cm
10√6/3 cm
66 2/3 cm
15 cm
If in ΔABC, DE||BC. AB = 3.6CM AC = 2.4cm and AD = 2.1cm then the length of AE is
1.4cm
1.8cm
1.2cm
1.0cm
In a ΔABC, AD is the bisector of ∠BCA. if AB = 8CM, BD = 6CM and DC = 3cm. The length of the side AC is
6cm
4cm
3cm
8cm
Two poles of heights 6m and 1m stand vertically on a plane ground. If the distance between their feet is 12m, what is the distance between their tops?
13m
14m
15m
12.8m
In the given figure, PR=26cm, QR=24cm, ∠PAQ=900, PA=6cm and QA=8cm. Find ∠PQR
800
850
750
900
A triangle is perpendicular to the radius at the
centre
point of contact
infinity
chord
How many tangent can be drawn to the circle from an exterior point?
one
two
infinite
zero
The two tangent from an external points P to a circle with central at O are PA and PB. If ∠APB = 700 then the value of ∠AOB is
1000
1100
1200
1300
In figure CP and CQ are tangent to a circle with centre at O. ARB is another tangent touching the circle at R. If CP = 11cm and BC = 7cm, then length of BR is
6cm
5cm
8cm
4cm
In figure if PR is tangent to the circle at P and O is the centre of the circle, then ∠POQ is
1200
1000
1100
900
