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File No.35/03/29/11/2014
VII CLASS - IIT, NEET FOUNDATION - OLYMPIAD
HYDERABAD
2013-2014 PROGRAM M E
DATE 01.12.14
TO 06.12.14
WEEKLY WORKSHEET - 19
TOTAL BITS: 35
MATHEMATICS - ARITHMETIC
1.
If a : b = c : d = e : f = 1 : 2, then (3a+5c+7e) : (3b+5d+7f) is equal to
1) 8 : 7
2.
4) 2 : 1
2) 2
3) 3
4) 0
2) Rs. 1200
3) Rs. 2000
4) Rs. 2500
2) 24
3) 30
4) 36
15 men, 18 women and 12 boys working together earned Rs. 2070. If the daily wages of a man, a woman
and a boy are in the ratio 4 : 3 : 2, the daily wages (in Rs) of 1 man, 2 woman and 3 boys are
1) 135
7.
3) 1 : 3
Rs. 180 is to be divided among 66 persons (men and women). The ratio of the total amount of money
received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2.
The number of men is
1) 20
6.
2) 2 : 3
A profit of Rs.6000 is to be distributed among A, B and C in the ratio 3 : 4 : 5 respectively. How much more
will C get than B?
1) Rs. 500
5.
4) 1 : 2
ax  by
by  cz
cz  ax
If x : a = y : b = z : c then  a  b  x  y    b  c  y  z    c  a  z  x  is equal to
1) 1
4.
3) 1 : 4
If a : (b + c) = 1 : 3 and C : (a + b) = 5 : 7, then b : (a + c) is equal to
1) 1 : 2
3.
2) 2 : 1
2) 180
3) 240
4) 205
The incomes of A, B and C are in the ratio
7 : 9 :-12
and their spendings are in the ratio 8 : 9 : 15. If A saves
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2015
1
th of his income, then the savings of A, B and C are in the ratio
4
1) 56 : 99 : 69
8.
9.
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4) 99 : 69 : 56
1) Rs. 10000, Rs. 40000, Rs .28800
2) Rs. 18000, Rs. 28800, Rs.32000
3) Rs. 45000, Rs.12800, Rs. 21000
4) Rs. 20000, Rs. 14600, Rs. 44200
The ratio of the age of a man and his wifes is 4 : 3. After 4 years, this ratio will be 9 : 7. If at the time of
marriage the ratio was 5 : 3, then how many years ago were they married?
2) 8 years
3) 10 years
4) 15 years
There are 3 containers of equal capacity. The ratio of sulphuric acid to water in the first container is 3 : 2,
that in the second containers is 7 : 3 and in the third container it is 11 : 4. If all the liquids are mixed together
then the ratio of sulphuric acid to water in the mixture will be
1) 61 : 29
11.
3) 99 : 56 : 69
Ratio of the incomes of A, B and C last year was 3 : 4 : 5. The ratio of their individual incomes of the last year
and this year are 4 : 5, 2 : 3 and 3 : 4 respectively. If the sum of their present incomes is Rs. 78800, then find
the present individual income of A, B and C
1) 12 years
10.
2) 69 : 56 : 99
2) 61 : 28
3) 60 : 29
4) 59 : 29
The difference of the squares is of two numbers is 80% of the sum of their squares. The ratio of the larger
number to the smaller number is
1) 5 : 2
CHALLENGER
2) 2 : 5
3) 3 : 1
1
4) 1 : 3
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File No.35/03/29/11/2014
12.
A candidate who gets 20% marks in an examination fails by 30 marks but another candidate who gets 32%,
gets 42 marks more than the pass makrs. The percentage of pass marks is
1) 52%
13.
3) 33%
4) 25%
2) 25
3) 20
4)
25
4
Mira’s expenditure and savings are in the ratio 3 : 2. Her income increases by 10%. Her expenditure also
increae by 12%. By how much % do her savings increase?
1) 7%
15.
2) 50%
The number of employees working in a farm in increased by 25% and the wages per head are decreased by
25%. If it results in x% decrease in total wages, then the value of x is
1) 0
14.
VII CLASS - IIT, NEET FOUNDATION - OLYMPIAD
2) 9%
3) 10%
4) 13%
Vishal goes to a shop to buy a radio costing Rs.2568. The rate of sales tax is 7%. He tells the shop keeper
to reduce the price of radio to such an extent that he has to pay Rs. 2568 inclusive of sales tax. Find the
redcution needed in the price of the radio.
1) Rs. 179
2) Rs. 170
3) Rs. 168
4) Rs. 169
PHYSICS- LIGHT - LEVEL - II
1.
Two plane mirrors are placed parallel to each other. The distance between the mirrors is 10 cm. an object is
placed between the mirrors at a distance of 4 cm from one of them, say M1. What is the distance between
the first image at M1 and the second image formed at M2 ?
1) 28 cm.
2.
4) 16 cm.
2) 40 cm/s
3) 35 cm/s
4) 42 cm/s
The incident ray and the reflected ray are at right angles. Then find the angle of incidence and the angle of
reflection.
1) 450 each
4.
3) 20cm.
A plane mirror is moved anway from a stationary object with a speed of 20 cm/s. What is the speed of the
image?
1) 35 cm/s
3.
2) 30 cm.
2) 900 each
3) 300 each
4) 500 each
A ray of light is incident on a horizontal plane mirror at an angle of 450. After reflection, from M1, some of
the light is incident on another plane mirror. If the ray reflected by the second plane mirror travels horizontally, find the angle between the mirrors.2014 - 2015
0
1) 500
5.
1
2
4) 900
2) 450
3) 350
4) 750
Two plane mirrors are inclined at 700. A ray incident on one mirror at an angle  , after reflection, the
reflected ray makes an angle of 300 with the second mirror. Find  .
1) 200
7.
3) 67
Two plane mirrors are inclined at an angle ‘  ’. It is found that a ray incident on one mirror at any angle is
rendered parallel to itself after reflection from both the mirrors. find the value of ‘  ’.
1) 900
6.
0
2) 22 12
2) 100
3) 300
4) 400
A mirror can form image but a plane glass slab cannot. This is because a mirror
1) Reflects light while while a plane glass slab absorbs light
2) Refracts light while a plane glass slab reflects light
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3) Reflects light while a plane glass slab refracts light
4) Refracts light while a plane glass slab absorbs light
8.
An image of a pencil is formed by a plane mirror at a distance of 40 cm from the pencil. The pencil is moved
5 cm towards the mirror. What will be the new image distance from the mirror?
1) 10 cm
CHALLENGER
2) 15 cm
3) 30 cm
2
4) 35 cm
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File No.35/03/29/11/2014
9.
A pencil of length 5 cm is kept vertical at a distance of 10 cm from a plane mirror. This pencil is then replaced
by another pencil of length twice than that of the earlier one. What is the distance of the image of this new
pencil from the mirror?
1) 5 cm
10.
VII CLASS - IIT, NEET FOUNDATION - OLYMPIAD
2) 10 cm
3) 15 cm
4) 20 cm
Mirrors are placed at different corners of a certain store. A small but complete view of the store is possible
through these mirrors. The given figure shows one such mirror.
Which type of mirror is described here?
1) Plane
2) Convex
3) Concave
4) Parabolic
CHEMISTRY - CHEMICAL BONDING - LEVEL - II
1.
From the following. which group of elements easily forms cation.
1) F, Cl, Br
2.
3) O, S, Se
4) N, P, As
In the given bonds which one is most ionic
1) Cs – Cl
3.
2) Li, Na, K
2) Al – Cl
3) C – Cl
4) H – Cl
Many ionic crystals dissolve in water because
1) Water is an amphiprotic solvent
2) Wter is a high boiling liquid
3) The process is accompanied by a positive heat of solution
2014
- 2015
4) Water decreases the interionic attraction
in the
crystal lattice due to solvation.
4.
The following element forms a molecule with eight its own weight atoms.
1) Si
5.
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4) CaH2 and B2H6
2) 1s2 2s2 2p3
3) 1s2 2s1
4) 1s2 2s2 2p1
2) 2
3) 3
4) 4
2) CsCl
3) NH3
4) CHCl3
What is the nature of chemical bonding between Cs and F
1) Covalent
10.
3) NaH and NH3
Highest melting point would be of
1) He
9.
2) NaH and CaH2
Carbon has a valency of 2 in CO and 4 in CO2 and CH4. Its valency in acetylene (C2H2) is
1) 1
8.
4) P
If a molecule X2 has a triple bond, then X will have the electronic configuration
1) 1s2 2s2 2p5
7.
3) Cl
Among CaH2, NH3 and B2H6, which are covalent hydrides.
1) NH3 and B2 H6
6.
2) S
2) Ionic
3) Coordinate
4) Metallic
Chemical formula for calcium pyrophosphate is Ca2P2O7. The formula for ferric pyrophosphate will be
1) Fe3 (P2O7)3
CHALLENGER
2) Fe4P4O14
3) Fe4(P2O7)3
3
4) Fe3PO4
WEEKLY WORKSHEET - 19