2014 - 2015 ( ) ( ) ( ) ( ) weekly worksheet - 4 - e

File No.05/04/19/07/2014
VIII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD
ANDRA PRADESH - TELANGANA
2014-2015 PROGRAM M E
DATE : 21.07.14
TO : 28.07.14
WEEKLY WORKSHEET - 4
TOTAL BITS: 35
MATHEMATICS - REAL NUMBERS - LEVEL - II
1.
The sum of two rational numbers is
1)
2.
Find the product of
1)
3.
27
49
24
36
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4)
56
27
4)
36
24
7
343
and the multiplicative inverse of
.
9
243
2)
36
25
2)
24
31
3)
49
26
7
5
so as to get
8
12
3)
31
24
2) 30
3) 144- 2015
2014
4) 72
2) 25
3) 125
4) 175
2) 7
3) 9
4) 13
2) 8 m
3) 16 m
4) 24 m
2) 13
3) 17
4) 19
If x 45  1 is divided by x 5  1 , then remainder willbe
1) 1
10.
112
121
713  613 is divisible by ...........
1) 11
9.
4)
There are two ropes each measures 496 m and 624 m respectively. The largest scale that should be used to
measure both the ropes exactly is of
1) 4 m
8.
126
210
The greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case is
1) 4
7.
3)
If L.C.M. of two numbers is 5 times to one of the numbers and the other number is 25, then H.C.F. of the two
numbers is
1) 5
6.
121
112
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. Then their sum is
1) 24
5.
2)
What should be subtracted from
1)
4.
120
100
15
1
. If one of them is  , find the other
16
7
2) 0
3) -1
4) 2
If x   23  22   23  22............. (40 terms) and y  11  10   11  10   ............. (20 terms), then
y-x is ____________
1) 40
CHALLENGER
2) 10
3) 20
4) 30
1
WEEKLY WORKSHEET - 4
File No.05/04/19/07/2014
11.
Find the value of 3.4  5.6 .
2) 15
1) 20
12.
13.
4) 19
3) 26
1) 1/2, 9/13, 3/4, 12/17
2) 3/4, 9/13, 1/2, 12/17
3) 1/2, 3/4, 9/13, 12/17
4) 1/2, 9/13, 12/17, 3/4
3 6
5 3  2 12  32  50
14
27
2)

3
3) 1/3
4) 1/ 3
3) y  z  x
4) x  y  z
If x  3 9, y  4 11, z  6 17 , then
1) x  y  z
15.
1
4
Arrange 3/4, 9/13, 12/17 and 1/2 in the ascending order
1) 3
14.
VIII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD
2) x  y  z
If x  2  3, y  2  3 , then 2x 2  23xy  2y 2  50 
1) 0
2) 1
3) -1
4) 2
PHYSICS - KINEMATICS- LEVEL-II
1.
A body travels along a straight path ABC. At A, its velocity is 5m/s and at C its velocity is 15 m/s and AB:BC
is 3:5. It takes 15 seconds to travels AB. The time taken to travel BC is
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1) 10 s
2.
2) 12.5 s
3) 15 s
4) 17.5 s
A body starting from rest is accelerated uniformly for 30 sec. If x1, x 2 , x 3 are the distance traveleed in 1st 10
sec, next 10 sec and last 10 sec, then x1, x 2 , x 3 =
1) 1 : 2 : 3
3.
2) 1 : 1: 1
3) 1 : 3 : 5
4) 1: 3 : 9
A train accelerates from rest at a constant rate a1 for distance s1 and time t1 . After that it retards to rest at
constant rate a2 for distance s2 and time t 2 . Which of the following relations is true
1)
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4.
s1 a2 t 2


s 2 a1 t1
s1 a1 t 2


s 2 a2 t1
3)
s1 a1 t1


s 2 a2 t 2
4)
s1 a2 t1


s 2 a1 t 2
Two persons A and B standing 54 m apart on a long moving belt. Person A rolls a ball towards person B
with a speed of 9 ms-1 with a speed of 4 ms-1 in the direction from A to B, the speed of the ball with respect
to an observer on a stationary platform is__________
1) 13 ms-1
5.
2)
2) 9 ms-1
3) 5 ms-1
4) 4 ms-1
In question 48 the speed of the ball with respect to an observer on a stationary platform if person B rolls the
ball with a speed of 9 ms-1 with respect to the belt towards person A is _______.
1) 13 ms-1
CHALLENGER
2) 9 ms-1
3) 5 ms-1
2
4) 4 ms-1
WEEKLY WORKSHEET - 4
File No.05/04/19/07/2014
6.
In the question 48, the time taken by the ball to travel from A to B is
1) 6s
7.
4) 9.0 s
2) 3.75 m/s
3) 1.25 m/s
4) zero
2) 1.25 m/s
3) 3.75 m/s
4) zero
In the question no. 56, time taken by the child to go from father to mother and back to father is
1) 20s
10.
3) 13.5 s
In the above question, the speed of the child running opposite to the direction of mnotion of the belt is
1) 2.5 m/s
9.
2) 10.8s
On a long horizontally moving belt, a child runs to and fro with a speed 9km/h (with respect to the belt)
between his father and mother located 50m apart on the moving belt. The belt moves with a speed on the
moving belt. The belt moves with a speed of 4.5 km/h. For an observer on a stationary platform outside,
speed of the child running in the direction of motion of the belt is
1) 2.5 m/s
8.
VIII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD
2) 40s
3) 13.3 s
4) 53.3 s
Two toens A and B are connected by a regular bus service with a bus leaving in either direction every T min.
A man cycling with a speed of 20 km/h in the direction A to B notices that a bus goes past him every 18 min
in the direction of his motion, and every 6 min. in the opposite direction. The period T of bus services is
1) 18 min
2) 6 min
3) 9 min
4) 12 min
CHEMISTRY - ATOMIC STRUCTURE-LEVEL-IV
1.
The atomic number of an element is 17. the number of orbitals containing electron pairs in its valence shell
is
1) Eight
2.
2) Six
3) Three
4) Two
The atomic number of an element is 35 and mass number is 81. The number of electrons in the outer most
shell is
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1) 7
3.
4.
3) 5
4) 3
The nucleus of tritium contains
1) 1 proton +1 neutron
2) 1 proton +3 neutron
3) 1 proton +0 neutron
4) 1 proton +2 neutron
The radius of hydrogen atom is 0.53 Ao . The radius of 3Li2+ is of
1) 127Ao
5.
2) 6
2) 0.17Ao
3) 0.57Ao
4) 0.99Ao
When atoms are bombarded with alpha particles, only a few in million suffer deflection, others pass out
undeflected. This is because
1) The force of repulsion on the moving alpha particle is small
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2) The force of attractionon the alpha particle to the oppositely charged electrons is very small
3) There is only one nucleus and large number of electrons
4) The nucleus occupies much smaller volume compared to the volume of the atom
CHALLENGER
3
WEEKLY WORKSHEET - 4
File No.05/04/19/07/2014
6.
VIII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD
The wavelength of a spectral line for an electronic transition is inversely related to
1) The number of electrons undergoing the transition
2) The nuclear charge of the atom
3) The difference in the energy of the energy levels involved in the transition
4) The velocity of the electron undergoing the transition
7.
Assertion : Thomson’s atomic model is known as ‘raisin pudding’ model.
Reason
: The atom is visualized as a pudding of positive charge with electrons (raisins) embedded in it.
1) Both assertion and reason are true and the reason is the correct explanation of the assertion.
2) Both assertion and reason are true but reason is not the correct explantion of the assertion
3) Assertion is true but reason is false
4) Assertion and reason both are false
8.
The element used by Rutherford in his famous scattering experiment was
1) Gold
9.
10.
2) Tin
3) Silver
4) Lead
When beryllium is bombarded with  -particles, extremely penetrating radiations which cannot be deflected
by electrical or magnetic field are given out. These are
1) A beam of protons
2)  -rays
3) A beam of neutrons
4) X - rays
The present atomic weight scale is based on
2) O16
1
3)H
2014
- 2015
4) C13
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1) C12
CHALLENGER
4
WEEKLY WORKSHEET - 4

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