### challenger viii class iit/ntse foundation - olympiad monthly test

```ANDHRA PRADESH - TELANGANA
India’s First & Only ISO 9001:2008 Certified
Foundation Programme
TOTAL BITS : 75
TOTAL MARKS : 150
DATE : 24.08.15
TIME : 90 MINUTES
MONTHLY TEST - 2
Find the remainder when x3  3x 2  3x  1 is divided by x 
1)
2.
3.
27
8
5.
3) (2x – 3) (2x + 3)
4) (3x + 3) (2x + 1)
3) 183
4) 180
2) (x + a) (x + a + c)
3) (x + b) (x + a + c)
4) (x + b) (x + b + c)
If the mode of a data is 18 and the mean is 24. then median is :
2) 22
3) 24
4) 18
The median of 10, 14, 11, 9, 8, 12, 6 is :
2) 14
3) 12
4) 10
The range of the following set of observations 2, 3, 5, 9, 8, 7, 4, 3 is :
2) 5. 5
3) 7
4) 11
If median = (mode + 2 mean)  then  is equal to :
1
3
2) 2
3) 3
The mean of first n natural numbers is
2) 4
4) None of these
5n
. Find n.
9
3) 9
4) 7
If the strengths of 10 classes in a school are given as 28, 42, 25, 30, 45, 22, 25, 34, 26 and 36
then find the median strength.
1) 31
11.
2) 186
1) (x + a) (x + b + c)
1) 5
10.
31
8
x 2   a  b  c  x  ab  bc 
1)
9.
4)
1
2
If a + b + c = 15 and a2  b2  c2  83, find the value of a3  b3  c3  3abc.
1) 6
8.
25
8
2) (2x + 1) (x + 3)
1) 11
7.
3)
1) (2x + 3) (x + 2)
1) 21
6.
21
8
Factorise 2x2 + 7x + 3
1) 185
4.
2)
2015 - 2016
1.
2015 - 2016
MATHEMATICS
2) 29
3) 45
4) 65
If the heights of four students in a class are 132 cm, 158 cm, 145 cm and 155 cm, then find
their mean height
1) 150 cm
CHALL ENGER
2) 165 cm
3) 170 cm
1
4) 147.5 cm
MONTHLY TEST - 2
VIII CLASS
VIII CLASS
Salaries of employees in
thousand rupees
0 – 10
No. of employees
1) 20
3) 20 hours
4) 13 hours
12
13
14
15
16
17
18
Total
fi :
1
3
4
8
10
3
1
30
If x 
2) 18
3) 15.2
4) 20
1
1
 a, x   b then the value of a2  2ab  3b2 is
x
x
2)
4
2x 2  1
x2


2 

3) 4 1  2 
x 

 1 1
4) 8  2  
2
x
Find the variables
Column - I
Column - II
A. 7(s - 4) =  3 + 2s
1. 2
B. 7p + 3 = 3(5  q)
2.
C. 5x - 2(6 + 7x) = 15
3.  3
6m  4
8
4m
If x 
6
5
4. 5
2) 4,2,3,1
3) 3,4,1,2
1
1
 7 , the value of x 3  3 is ____
x
x
1) 380
2) 364
3) 280
4) 4,1,2,3
4) 400
Consider the polynomials A  4x 3  5x  7 , B  2x 3  x 2  3 , C  5x 3  8x 2  10 The coefficient of
x2 in the polynomial A - 2B - C is ____
1) 8
19.
4) 45
xi :
1) 1,4,3,2
18.
6
Find the mean of the following distribution
D.
17.
9
3) 40
2) 14 hours

2 2
1) 4x  2  1 
x

16.
8
40 – 50
5 people were asked about the time in a week they spend in doing social work in their community. They spent 10, 7, 13, 20 and 15 hours, respectively. Find the mean (or average) time
in a week devoted by them for social work
1) 14
15.
30 – 40
13
2) 25
1) 12 hours
14.
4
20 – 30
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13.
10 – 20
Calculate the arithmetic mean (A.M.) of the following data
2015 - 2016
12.
2) 9
3) 7
4) 10
2
Factorize p  x   21x  11x  2
1) 7x  1 3x  2 
2)  8x  13x  1 
3)  9x  1 4x  1 
4)  8x  1 6x  1 
CHALL ENGER
2
MONTHLY TEST - 2
VIII CLASS
2
Factorize p  x   22x  123x  11
1) 11x  1  2x  11
2) 10x  1 3x  11 
3)  20x  13x  11 
4)  20x  1  6x  11
20.
PHYSICS
Which of the following is not a characteristic of the standard unit ?
2015 - 2016
21.
1) It should be of convenient size.
2) It should change with respect to space and time.
3) It should not be perishable.
4) It should be easily reproducible.
22.
The main scale of a vernier callipers reads 4.7 cm, t he 3rd division on the vernier scale
coincides with a main scale division while measuring the length of a rod. the least count of
the vernier callipers 0.1 mm. the length of the rod is
1) 4.73 cm
23.
3) 4.72 cm
4) 4.77 cm
2.34 is obtained by rounding of the number
1) 2.346 = 2.35
24.
2) 4.75 cm
2) 2.355 = 2.36
3) 2.335 = 2.34
4) 2.334 = 2.33
The least count of a vernier callipers is 0.01 cm and its zero error is – 0.03 cm. While measuring the length of a rod, the zero of vernier scale lies between 5.3 cm and 5.4 cm and sixth
division on vernier is in line with a marking on the main scale.
The length of the rod is
1) 5.35 cm
3) 2.001 cm
4) 0.001 cm
2) 0.8 m
3) 0.6 m
4) 0.5 m
The length of a metallic sheet is measured as 10.0 cm using a metre scale of L>C. 0.1 cm and
its breadth is measured as 1.00 cm using vernier callipers of L>C. 0.01 cm, the error in area is
1) 0.2cm2
28.
2) 0.002 cm
Find the length of a simple pendulum whose period of oscillation 1.8 s at a place where
g = 9.8 m/s2.
1) 0.9 m
27.
4) 5.36 cm
In travelling microscope, each centimetre of the main scale is divided into 20 equal parts. If
the instrument carries a vernier scale having 50 divisions equal to 49 divisions of the main
scale, calculate the least count of the main scale and the vernier scale.
1) 2.001 cm
26.
3) 5.30 cm.
2) 4.2cm2
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25.
2) 5.39 cm.
3) 1.02cm2

4) 0.3cm2

x y z
A physical quantity X is represented by X  M L T . The maximum percentage errors in
the measurement of M, L and T respectively are a%, b% and c%. The maximum percentage
error in the measurement of X will be
29.
1)  ax  by  cz  percent
2)  ax  by  cz  percent
3)  ax  by  cz  percent
4)  ax  by  cz  percent
In a vernier callipers, one main scale division is x cm and n divisions of the vernier scale
coincide with (n – 1) divisions of the main scale. The least count (in cm) of the callipers is
 n 1 
1) 
x
 n 
CHALL ENGER
nx
2) n  1


3)
x
4) n  1


x
n
3
MONTHLY TEST - 2
PASSAGE : In an experiment the weight of a body in air is found to be  5.000  0.05  N and
its weight in water is found to be  4.00  0.05  N .
The error in measuring loss of weight in water is
1) 0.10 N
31.
3) 0.40
4) 0.50
2) 6 %
3)
4
%
3
4) 2 %
2) 2.20mm
3)1.20mm
4) 1.25 mm
In a vernier calliper, N divisions of vernier scale coincide with (N- 1) divisions of main scale.
One division of main scale represents 1 mm. The least count of the instrument in cm will be
1)  N  1  10
35.
2) 0.11
The circular divisions of the given screw gauge are 50. It moves 0.5 mm on main scale in one
rotation. The diameter of the ball is
1)2.25 mm
34.
4) 0.50 N
The heat dissipated in a resistance can be obtained by measuring of resistance, the current
and time. The maximum error in the measurement of these is 1 %, 2 % and 1 % respectively.
The maximum error in the detection of the dissipated heat is
1) 4 %
33.
3) 0.40 N
The relative error in finding the relative density of the body is
1) 0.10
32.
2) 0.11 N
2015 - 2016
30.
1
3) 10 N  1


2) N 10
4)
1
10N
The least count of a stop watch is 0.2 second. It records 25 sec as the time 20 oscillations of a
pendulum. The minimum percentage error in the measurement of time will be
1) 0.8 %
2) 0.4 %
3) 0.2 %
4) 0.1 %
CHEMISTRY
37.
Which of the following process is used in the refining of aluminium ?
1) Hope’s electrolysis
2) Thermite reaction
3) Reduction by carbon
4) Mond’s process
In electrolytic reduction of molten aluminium oxide ore the positive electrodes have to be
regularly replaced, why?
2015 - 2016
36.
1) They are degraded due to high temperature.
2) They dissolve in cryolite.
3) They react with oxygen to form a gas.
4) A layer of aluminium gets deposited on them.
38.
X + 4H2O 
 Y+Z
X + S 
R
‘Y’ is the magnetic oxide of iron and ‘R’ is a grey sulphide.
X
Y
Z
R
1) Fe
Fe2O3
H2
FeS
2) Fe
Fe3O4
H2
FeS
3) Fe
Fe3O3
O2
FeS
4) Fe
Fe2O3
O2
FeS
CHALL ENGER
4
MONTHLY TEST - 2
VIII CLASS
39.
Assertion : When soft iron nails are dipped in a strong solution of copper sulphate, a greenish black solution is formed.
Reason : Iron replaces copper from copper sulphate solution forming iron sulphate.
1) Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2015 - 2016
2) Both Assertion and Reason are correct but Reason is not the correct explanation of
Assertion.
3) Assertion is correct and Reason is incorrect
4) Assertion is incorrect and Reason is correct
41.
42.
43.
After a chemical reaction, the total mass of reactants and products
1) Is always increased
2) Is always decreased
3) Is not changed
4) Is always less or more
Which one of the following properties of an element is not variable
1) Valency
2) Atomic weight
3) Equivalent weight
4) All of these
Which one of the following pairs of gases contains the same number of molecules
1) 16 g of O2 and 14 g of N2
2) 8 g of O2 and 22 g of CO2
3) 28 g of N2 and 22 g of CO2
4) 32 g of O2 and 32 g of N2
1022 atoms of an element 'X' are found to have a mass of 930 mg. Calculate the molar mass of
the element 'X'.
1) 35.6 g mol-1
44.
y
2
48.
2)
y
4
4) 2y
3) y
2) 25%
3) 14%
4) 8%

23
The total number of protons in 10 g of calcium carbonate is N 0  6.023 x 10
1) 1.5057 x 1024
47.
4) 56.0 g mol-1
A 400 mg iron capsule contains 100 mg of ferrous fumarate, (CHCOO)2Fe. The percentage of
iron present in it is approximately
1) 33%
46.
3) 35.0 g mol-1
The atomic weights of two elements A and B are 40 and 80 respectively. If x g of A contains y
atoms, how many atoms are present in 2x g of B
1)
45.
2) 47.5 g mol-1
2015 - 2016
40.
2) 2.047 x 1024
3) 3.0115 x 1024

4) 4.0956 x 1024
The principle ores of silver are argentite, horn silver and pyrargyrite. Their formula respectively are
1) Ag2S, AgCl and AgSbS2
2)AgCl, AgSbS2 and Ag2S
3) AgSbS2, Ag2S and AgCl
4) AgCl, Ag2S and AgSbS2
Which of the following fluxes is used to remove acidic impurities in metallurgical process
1) Silica
2) Lime stone
3) Sodium chloride
4) Sodium carbonate
CHALL ENGER
5
MONTHLY TEST - 2
VIII CLASS
VIII CLASS
1) Cr
50.
2) Sn
3) Zn
Black Jack is an ore of
4) Ni
Which is correct
1) Galena : Mg2CO3
2) Cassiterite : CaCO3 MgCO3
3) Dolomite : SnO2
4) Magnesite : MgCO3
2015 - 2016
49.
N.T.S.E
51.
I : Insert : : Active : II
I. [A] Static [B] Statics [C] Helium [D] Air
II. [P] Gymnast [Q] Dynamic [R] Participation [S] Smart
1) AQ 2) BP 3) CR 52.
I : Wheat : : Brick: II
I. [A] Cereal [B] Field [C] Bread [D]Farme
II. [P] Building [Q] Mason [R] Clay [S] Kiln
1) AP 2) BS 3) CR 53.
I : Sword : : Thread : II
I. [A] Dagger [B] Knife [C] Warrior [D] Kill
II. [P] Needle [Q] Tailor [R] Rope [S] Stitch
1) BR 2) DS 3) AP 54.
I : Ship : : Platform : II
I. [A] Captain [B] Quay [C] Port [D] Shore
II. [P] Coolie [Q] Station [R] Train [S] Bench
1) BR 2) AP 3) CQ I : Gardening : : Bat : II
I. [A] Spade [B] Gardener [C] Flowers [D] Grass
II. [P] Playing [Q] Cricket [R] Ball [S] Sportsman
1) BS 2) DP 2015 - 2016
55.
3) CR 4) DS
4) DQ
4) CQ
4) DS 4) AQ
Directions: In Choose odd Number questions, certain numbers are given, out of which all
except one are alike in some manner while one is different and this number is to be chosen
56.
1532 , 8749 , 4268 , 5846
1) 1532 57.
3) 4268 4) 5846
3) 5789 4) 1325
3) 318951 4) 319446 7851 , 6432 , 5789 , 1325 , 8167
1) 7851 58.
2) 8749 2) 6432 372164 , 376821 , 318951 , 319446
1) 372164 CHALL ENGER
2) 376821 6
MONTHLY TEST - 2
59.
11 , 13 , 15 , 17
1) 11 60.
VIII CLASS
2) 13 3) 15 4) 17
2) 11 3) 15 4) 16
10 , 11 , 15 , 16
1) 10 A monomial is a polynomial with only ________ terms.
1) 3
62.
66.
67.
68.
3) Trinomial
4) Multinomial
2) 2
3) 3
4) 4
2) Frequency
3) Range
4) Mode
The relationship between mean, median and mode is
1) Mode = 3 Median – 2 Mean
2) Mode = 3 Median + 2 Mean
3) Median = 3 Mode – 2 Mean
4) Mean = 3 Median + 2 Mode
A constant quantity used for comparison during the measurement of unknown quantity is
called :
1) Fundamental quantity
2) Standard quantity
3) Physical quantity
4) Derived quantity
Candela is the fundamental unit of :
1) Thermodynamic temperature
2) Amount of substance
3) Electric current
4) Luminous intensity
The complete to and fro motion of a pendulum constitutes one complete :
1) Vibration
69.
4) 1
The maximum occurred value among the given observation is called
1) Data
65.
2) Binomial
A cubic polynomial of degree is
1) 1
64.
3) 2
A polynomial with two terms is called a _________
1) Momomial
63.
2) 4
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61.
2015 - 2016
C.D.F
2) Oscillation
3) Frequency
4) Amplitude
The speed of light in vacuum is 3  108 ms-1. It is a :
1) Fundamental unit 2) Derived unit 3) Supplementary 4) Universal unit
70.
The time period of a simple pendulum is:
1) Directly proportional to its length
2) Directly proportional to square root of length
3) Inversely proportional to its length
4) Inversely proportional to square root of length
CHALL ENGER
7
MONTHLY TEST - 2
VIII CLASS
1) Form ionic compounds
2) form covalent compounds
3) Do not combine
4) None of the aobve
The non-metal that is extremely hard is
1) Diamond
73.
74.
75.
72.
Metals generally _______________
2) Sulphur
3) Phosphorous
German Silver is an Alloy of
4) Graphite
2015 - 2016
71.
1) Copper, Nickel and Silver
2) Silver, Copper and Aluminium
3) Zinc, Copper and Nickel
4) Silver, Zinc and Copper
The mass of 1 amu is
1)
1
1

g
12 6.022  1023
2)
3)
12
g
6.022  1023
4) 6.022  1023 g.
1 
The  
 12 
1
g
6.022  1023
th
mass of a carbon atom is called
1) Mass number
2) Atomic mass
3) Atomic mass unit
4) Relative atomic mass
*****
2015 - 2016
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October 15 - 1931
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