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File No.32/03/15 /11/2014
VII CLASS - IIT, NEET FOUNDATION - OLYMPIAD
HYDERABAD
2013-2014 PROGRAM M E
DATE 17.11.14
TO 27.11.14
WEEKLY WORKSHEET - 17
TOTAL BITS: 35
MATHEMATICS - ARITHMETIC
1.
An amount of money is to be distributed among A, B and C in the ratio 3 : 1 : 5. The difference between B’s
share and C’s share is Rs.3600. What is the total of A’s share and B’s share?
1) Rs.5400
2.
3) 3 : 2
4) 1 : 2
2) 81 : 91
3) 9 : 10
4) 10 : 9
2) 2 : 3
3) 3 : 2
4) 1 : 2
Annual incomes of ‘A’ and ‘B’ are in the ratio 4 : 5 respectively. If the income of ‘A’ increases by 25% and that
of ‘B’ increases by 20%, then what is the new ratio of their incomes respectively?
1) 5 : 8
6.
2) 2 : 3
In an alloy, the ratio of copper to zinc is 5 : 2. If 1.250 kg is mixed in 17.500 kg of alloy, then what will be
the new ratio of copper to zinc?
1) 2 : 1
5.
4) Rs.1800.
The ratio of the number of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio
if 12 more girls are admitted?
1) 91 : 81
4.
3) Rs.2700
If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is euqal to
1) 1 : 3
3.
2) Rs.3600
2) 4 : 7
3) 5 : 6
4) 6 : 5
Two numbers are in the ratio 17 : 45. One - third of the smaller is less than
1
of the bigger by 15. What is
5
the smaller number?
1) 25
7.
1
2
2) 67
1
2
1
3) 76 - 2015
2014
2
4) 86
1
2
Two number A and B are such that the sum of 5% of A and 4% of B is
2
rd of the sum of 6% of A and 8% of
3
B. Find the ratio A : B
1) 4 : 3
8.
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3) 16 : 19
4) 17 : 19
2) 2 : 3
3) 3 : 5
4) 4 : 5
2) 46, 58, 75
3) 42, 56, 70
4) 45, 60, 75
A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save
Rs.1800 and Rs.1600 respectively, find the monthly income of B.
1) Rs. 3400
12.
2) 13 : 15
Some one rupee, 50 P and 25P coins make up Rs. 93.75 and their numbers are in the ratio 3 : 4 : 5. Find the
number of each type of coins.
1) 40, 70, 75
11.
4) 2 : 3
In a particular type of fertilizer, the ratio of two chemicals A and B is 2 : 5. In 21 kg of this fertilizer, if 3 kg of
A is added. What will be the ratio of A to B in the new fertilizer?
1) 1 : 1
10.
3) 1 : 1
The ratio of the present ages of Sunita and Vinita is 4 : 5. Six years hence, the ratio of their ages will be 14
: 17. When will be the ratio of their age 12 years hence?
1) 15 : 19
9.
2) 3 : 4
2) Rs. 2700
3) Rs.1720
4) Rs. 7200
Harsha is 40 years old and Ritu is 60 years old. How many years ago was the ratio of their ages 3 : 5?
1) 10 years
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2) 20 years
3) 37 years
1
4) 5 years
WEEKLY WORKSHEET - 17
File No.32/03/15 /11/2014
13.
Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio
becomes 1 : 2. What is the sum of the number?
1) 30
14.
2) 28
3) 24
4) 10
On a drawing sheet, if a 12 cm bar is represented by a line of length
which measures 3
1) 162 cm
15.
VII CLASS - IIT, NEET FOUNDATION - OLYMPIAD
1
cm, then the actual length of the bar
4
3
cm on the drawing sheet is
8
2) 163 cm
3) 164 cm
4) 160 cm
The ratio of the number of boys to that of the girls in a school of 432 students is 5 : 4. How many new girls
should join the school for the ratio to be 1 : 1
1) 16
2) 68
3) 116
4) 48
PHYSICS - LIGHT - LEVEL - I
1.
Two plane mirrors are held at 450 to each other. An object is placed on bisector of the angle. The number
of images formed will be
1) 16
2.
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4) n images.
2) 6
3) 7 - 2015
2014
4) 8
2)  /2 radian
3)  radian
4) 2  radian
2) 90 cm
3) 85 cm
4) 170 cm
2) 4 images
3) 5 images
4) 3 images
A plane mirror reflects a pencil of light to form a real image. Then the pencil of light incident on the plane
mirror should be
2) Divergent
3)Parallel
4)None of these
What should be the angle between two plane mirrors so that for all angles of incidence, the incident ray and
the reflected ray from the two mirrors will be parallel to each other?
1) 900
10.
3)(n+1) images
Number of images will be formed when an object is placed between two plane mirrors held at angle of (a)
600 are?
1) Convergent
9.
2)(1n+1) images
A man is 180 cm tall and his eyes are 10 cm below the top of his head. In order to see his entire height, right
from toe to head, he uses a plane mirror kept at a distance of 1 m from him. The minimum length of the
plane mirror required is
1) 6 images
8.
4) 80 cm
When light wave suffers reflection at the interface from air to glass, the change in phase of the reflected
wave is equal to
1) 180 cm
7.
3) 40 cm
A person sees his images in a room in which the ceiling and two adjacent walls are mirrors. How many
images are formed?
1) 0
6.
2) 20 cm
2
2
radian and n  1 radian. An object lies between
n
the two mirrors. The number of images formed will be
1) 5
5.
4) 7
Two plane mirrors are held at an angle lying between
1)(1n-1) images
4.
3) 14
A small object is placed 10cm in front of a plane mirror. If you stand behind the object 30 cm from the mirror
and look at tis image, the distance focussed for your eye will be
1) 60 cm
3.
2) 8
2) 1200
3) 1350
4) 1750
A plane mirror is appraching you at a speed of 10 cm/sec. You can see your image in it. At what speed will
your image approach you?
1) 20 cm/sec
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2) 15 cm/sec
3) 10 cm/sec
2
4) 5 cm/sec
WEEKLY WORKSHEET - 17
File No.32/03/15 /11/2014
VII CLASS - IIT, NEET FOUNDATION - OLYMPIAD
CHEMISTRY - CHEMICAL BONDING - LEVEL - I
1.
An element A is tetravalent and another element B is divalent. The formula of the compound formed by
the combination of these elements is
1. A 2 B
2.
5.
6.
8.
4. AB2
2. X5 Y2
3. X2 Y5
4. X Y5
2. Magnesium oxide
3. Aluminium nitride
4. Potassium sulphide
Cation is not isoelectronic with anion in
1. Potassium Fluoride
2. Aluminium fluoride
3. Sodium fluoride
4. Potassium chloride
Nucleus of an element has nine protons. its valency would be (C.P.M.T )
2.3
3.2
4.5
Highly ionic compound is formed by the combination of elements belonging to
1. I A group and VII A gruop
2. II A group VI A group
3. III A group and V A group
4. ‘O’ group and VII A group
The molecule which contains maximum number of electrons is
2. CO2
3. NO2
4. N 2O
Covalency of nitrogen in Ammonium ion is
1. 2
10.
3. A 3B2
1. Sodium bromide
1. CH4
9.
2. A 2 B3
Electrovalency of non-metal atom is not equal to, that of the metal atom in
1.1
7.
4. A 2 B3
Two elements X and Y the have following electron configurations, X= 1s 22s2 2p6 3s2 3p64s2 and Y=
1s22s2 2p63s2 3p5. The formula of the compound formed by the combination of X and Y is
1. X Y2
4.
3. A B2
An atom A has 2K, 8L and 3M electrons. Another atom B has 2 K and 6 L electrons. The formula of the
compound formed between A and B is
1. A B
3.
2. A B
2. 3
3. 4
4. 5
Sodium chloride is an ionic compound2014
where-as2015
hydrogen chloride is mainly covalent because
1) Sodium is less reactive
2) Hydrogen is non-metal
3) Hydrogen chloride is a gas
4) Electronegativity difference in the case of hydrogen and chlorine is less than 2.1.
**************
Perfection does not come from belief or faith. Talk does not count for anything. Parrots can do that. Perfection
comes through selfless work.
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*****
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3
WEEKLY WORKSHEET - 17