NTSE MOCK TEST-1 (9TH Phase-1)
PHYSICS
1.
A car accelerates from rest at a constant rate ‘’ for some time after which it decelerates at
a constant rate  to come to rest. If the total time elapsed is t, the maximum velocity
acquired by the car is given by;
2  2 
t

(A) 
 
2.
   
2  2 
t

(B) 
 
(C) 
t
  
  
(D) 
t
   
The distance travelled by a body falling freely from rest in the 1st second, 2nd second and
3rd second are in the ratio:
(A) 1 : 2 : 3
(B) 1 : 3 : 5
(C) 1 : 4 : 9
(D) 2 : 4 : 6
3.
A water tap leaks such that water drops fall at regular intervals. Tap is fixed 5 m above the
ground. First drop reaches the ground and at that instant third drop leaves the tap. At this
instant the second drop is at a height of; (g = 10m/s2)
(A) 3 m
(B) 4.5 m
(C) 3.75 m
(D) 2.5 m
4.
A body covers 12 m in 3rd second of its linear uniformly accelerated motion. It covers 20 m
in the 5th second. Velocity of the body after 10 second is;
(A) 40.25 m/s
(B) 20 m/s
(C) 42 m/s
(D) 24 m/s
5.
A person standing near the edge of the top of a building throws two balls A and B. The
ball A is thrown vertically upward and B is thrown vertically downward with the same
speed. The ball A hits the ground with a speed v A and the ball B hits the ground with a
speed vB . We have
(a) vA  vB
(b) vA  vB
(c) vA  vB
(d) The relation between vA and vB depends on height of the building above the ground
6.
7.
A ball is thrown downwards with velocity v from the top of a tower and it reaches the
ground with speed 3v. What is the height of the tower?
(A)
v2
g
(B)
2v 2
g
(C)
4v 2
g
(D)
8v 2
g
A stone is dropped from a certain height and at the same time another stone is thrown
horizontally from the same height. Which one will reach the ground earlier?
(A)
first stone
(B)
second stone
(C) simultaneously
(D) not sure
A body is thrown with a velocity of 10 m/s at an angle of 60o with the horizontal. Its
velocity at the highest point is (Take sin60° =
(A) zero
(C) 10 m/s
9.
(C)
11.
(B) 5 m/s
(D) 8.66 m/s
A person travelling on a straight line moves with a uniform velocity v 1 for some time and
with uniform velocity v2 for the next equal time. The average velocity v is given by
(A) v 
10.
v1  v 2
2
(B) v  v1v 2
2 1
1


v v1 v 2
(D)
13.
1 1
1
 
v v1 v2
A train moving at a constant speed of 54 km/h moves eastward for 30 minutes. Then
moves towards north for 40 minutes. The magnitude of average velocity of the train
during the run is
(A) 38.6 km/hr
(B) 45 km/hr
(C) 36 km/hr
(D) 27 km/hr
A particle is moving in circular path of radius 10 m with a constant speed of 10 m/s. Its
angular speed is
(A) 1 rad/s
12.
3
1
, cos60° = )
2
2
(B) 1 m/s
(C) 10 m/s
(D) 10 rad/s
The velocity-time graph of a body moving in a
straight line is shown in the figure. The
displacement and distance traveled by the body in 6
seconds are
(A) 8 m, 16 m
(B) 16 m, 8 m
(C) 16 m, 16 m
(D) 8 m, 8 m
V (m/s)
8.
4
3
2
1
The graph between the displacement x and time t for a
particle moving in a straight line is shown in the figure.
During the interval OA, AB, BC and CD, the acceleration
of the particle is
OA
AB
BC
CD
(A)
+
0
+
+
(B)

0
+
0
(C)
+
0

+
(D)

0

0
t (sec)
1
-1
-2
4
3
2
5
6
-3
-4
x
A
O
B
C
D
t
Chemistry
1.
Which of the following is not an example of matter?
(A) Air
2.
5.
6.
(B) Molecules
(B) Brownian motion (C) both (A) or (B) (D) none of these
(A) Heavier than air
(B) lighter than air
(C) Nearly equal dense to air
(D) equally dense to that of air
The particles of matter are
(A) very very small
(B) have spaces in between them
(C) attract each other
(D) all of them
A molecule is electrically
(B) negative
(C) neutral
9.
(D) none of them
(B) inflexible
(C) both (A) and (B) (D) none of them
Rigid means
(A) Unbending
8.
(C) both (A) or (B) (D) Only A
Bromine vapours are
(A) Positive
7.
(D) Clothes
Movement of different particles among each other (on their own), so that they become mixed
uniformly, is called
(A) Diffusion
4.
(C) smell
The particles which make up matter are
(A) Atoms
3.
(B) Human being
A solid is a
(A) Rigid form of matter
(B) fluid form of matter
(C) Either (A) or (B)
(D) none of them
Gases have
(A) fixed shape
(B) no fixed shape
(C) fixed volume
10. Gases
(A) fill their container completely
(B) flow easily
(C) can be compressed easily
(D) All of them
(D) none of them
11. Diffusion is
(A) Fastest in gases
(B) slowest in solids
(C) (A) and (B) both
(D) equal in gases and solids
12. Factors affecting evaporation are
(A) Temperature
(B) surface area
(C) humidity
(D) all of them
13. The solid substance which undergoes sublimation is called
(A) sublime
(B) sublimate
(C) both (A) and (B)
(D) one of them
MATHEMATICS
1.
Let P(x) = x2 + bx +c where b and c are integers. If P(x) is a factor of both x4 + 6x2 + 25
and 3x4 + 4x2 + 28x + 5. Then P(1) = ?
(A) 0
2.
If
x
(B) 1
x
1
 3 , then 2
x
x  x 1
(A) 1
3.
(C) 2
(D) 4
is
(B) 1.5
(C) 2
(D) 0.5
The equations x3  5x 2  px  q  0 and x3  7 x 2  px  r  0 has two roots in common. If the
third root of each equation is represented by x1 and x2 respectively, then the ordered pair
 x1 , x2  is
A)
 5, 7 
B)
1, 1
C)
 1,1
D)
 5, 7 
4.
If a, b, c  0 , a 2  bc and a  b  c  abc then least value of a 4  a 2  5 is
(A) 3
(B) 5
(C) 7
(D) 9
5.
Given that log(2) = 0.3010, the number of digits in the number 20002000 is
(a) 6601
(b) 6602
(c) 6603
(d) 6604
6.
For the equation │x│2 + │x│ - 6 = 0 , then
(A) Three are four roots
(B) the sum of the roots is -1
(C) the product of the roots is - 4
(D) the product of the roots is - 6
7.
(a – b)2 + (b – a)2m is :
(A) Always zero
(C) Positive if and only if a > b
8.
The number of integral solutions of the equation 7[ x + (1/x) ] – 2 [ x2 + (1/x2) ]= 9
(A) 0
(B) 1
(C) 2
(D) 3
(B) Never zero
(D) Positive only if a ≠ b
9.
In fig PT is the bisector of ∠ QPR in ∆ PQR and PS⊥
QR, find the value of x
(A) 20o
(B) 10o
(C) 30o
(D) 15o
G
and
o
In the given figure, find the value of
yo
30
10.
xo
xo
E
F
D
(a) x = 110o, y = 35o
(b) x = 115o, y = 35o
(c) x = 130o, y = 30o
(d) x = 120o, y = 30o
o
90
A
60o
o
y
B
C
11. If α and β are two zeroes of the quadratic polynomial ax2 + bx = c , then (α2 / β) + (β2 / α) =
(A)
12.
b 2  2ac
a2
(B)
3ac  b 2
c3
In the given figure find the value of xo if
(D)
3abc  b 2
a 3c
l || m .
(c) 120o
(d) 15o
150
l
13.
In the given figure , x = ?
(A) α + β - γ
14.
If
(B) α - β + γ
(C) α + β + γ
(D) -α + β - γ
1
1 1
=  ( x ≠ 0 , y ≠ 0 , x ≠ y) then , value of x3 – y3 is
x y
x y
(A) 0
(B) 1
(C) -1
(D) 2
o
o
(b) 110o
3abc  b3
a 2c
30
(a) 80o
(C)
x
o
m
15.
For real a , b , c if a2 + b2 + c2 = ab + bc + ca then , value of
(A) 0
16.
If x +
(B) 1
If
(B) 121
(C) 123
(D) 127
(B) 121
(C) 125
(D) 127
If a straight line L makes an angle θ (θ>90o) with positive direction x – axis , then the acute
angle made by a straight line M , perpendicular to L , with y-axis is
(A)
19.
(D) 2
x+1/x=5 and x2+1/x3=8 , then what would be the value of x3+1/x2 =?
(A) 120
18.
(C) 3
1
1
= 3 , then x5 + 5 = ?
x
x
(A) 120
17.
ac
is
b

2

(B)

2

(C)   
(D)   
(C) -1
(D) 1
(C) 2
(D)
log x log y log z
, then x x . y y .z z is


yz zx x y
(A) x + y + z
(B) 0
7  48  7  48 =
20.
(A)
2 3
(B) 4
6
BIOLOGY
Q1. The lipids and proteins essential for the formation of cell membrane are synthesized in
A) Golgi bodies
B) Mitochondria
C) Endoplasmic reticulum
D) Lysosomes
Q2. The direction of movement of sap in Phloem of higher plants can be
A) Unidirectional
B) Multidirectional
C) Bidirectional
D) Direction les
Q3. Intercalary meristem is present in:
(A)At the base of the leaves and both the sides of node
(B)In the roots
(C) At the tip of the leaves
(D)At the shoot apex
Q4. How many types of muscle tissue are found?
A)
Striated & unstriated
C) Cardiac & unstriated
B) Striated & Cardiac
D) Striated, unstriated & cardiac
Q5. Which among the following cell organelles is able to make its own proteins?
A) Lysosome
B) Golgi apparatus
C) Plastid
D) Endoplasmic reticulum
Q6. Living mechanical tissue is:
A) Parenchyma
Q7.
B) Collenchyma
C) Sclerenchyma
D) Chlorenchyma
C) Contractile protein
D) Carrier protein
Muscles contain special protein called:
A) Tubulin
B) Globulin
Q8. Tissue containing more than one type of cells is known as:
A) Simple tissue
Q9.
B) parenchyma
C) Chlorenchyma
D) complex tissue
The bone and muscle can be connected to each other by:
A) Ligament
B) Tendon
C) Nervous tissue
D) Muscular tissue
Q10. Permanent tissues are made up of:
A) Meristematic tissues
B) Simple tissues C) Complex tissues
D) Collenchyma
Q11. The cell organelle in which hydrolytic enzymes are stored is:
A) Plastid
B) Mitochondria
C) Lysosome
D) Golgi
Q12. Which of the following has extracellular DNA?
A) Mitochondria
B) Chloroplast
C) ER
D) Both A & B
Q13. In an accident, two long bones of a person are dislocated. The possible reason may be the:
(A) Breakage of Skeletal muscles
C) Breakage of Smooth muscles
B) Breakage of Tendon
D) Breakage of Ligament
Q14. Dead cells of cork contain a chemical in their wall that makes them impervious to gases and
water. The chemical is :
A) Lignin
B) Suberin
C) Mucilage
D) Sucrose
Social Science
1.
2.
3.
The Dandi March was of -------kms.
(A) 370
B. 396
C. 345
Viceroy Mountbatten decided to plan the partition of India on
(A)June 3 , 1947
(B)June 2, 1947
(C) June 8, 1947
The INA trials took place in the
(A)Parliament House ,Delhi
(C) Red Fort, Delhi
D. 351
(D)June 10, 1947
(B) Ahmednagar Fort
(D) Old Secretary, Delhi
4.
Which of the following was a revolutionary who later turned into a Yogi and a Philosopher?
(A) Lala Lajpat Rai
(B)Bal Gangadhar Tilak (C) Agarkara
(D)Aurobindo Ghosh
5.
With reference to Indian Freedom Struggle, Who of the following was the lady representative
of India at the Second Round Table Conference?
(A) Sucheta Hriplani
(B) Aruna Asaf Ali
(C) Vijaylakshmi Pandit (D) Sarojini Naidu
6.
Which of the following institutions was not founded by Mahatma Gandhi?
(A) Sabarmati Ashram
(B) Sevagram Ashram (C) Vishwa Bharati (D) Phoneix Ashram
7.
Swaraj as a national demand was first made by
(A) Bal Gangadhar Tilak (B) Dadabhai Nooraji (C) Jawahar Lal Nehru (D) Chittranjan Das
8.
The title ‘Punjab Kesari’ was conferred on
(A) Sardar Baldev Singh (B) Lala Lajpat Rai
9.
(C) Bhagat Singh
(D) Ranjit Singh
Mahatma Gandhi’s first attempt at leading an All India Struggle was his call for a Satyagragha
against which one of the following?
(A) Rowlatt Act
(B) The Public Safety Bill
(C) The Trade Disputes Act (D) The Government India Act, 1919
10. In March 1925, who of the following was elected as the president of the Central Legislative
Assembly?
(A) Madan Mohan Malaviya (B) CR Das
(C) Vithalbhai Patel
(D) Motilal Nehru
11. In which European city was the treaty signed at the end of World War I?
(A) Versailles
(B) Rome
(C) Vienna
(D) Budapest
12. Which revolution spread communist ideology in the world?
(A) American Revolution
(B) Russian Revolution
(C) French Revolution
(D)German–Revolution
13.
Which thinker’s ideology created a great impact on the Bolshevik Revolution in Russia?
(A) Montesquieu
14.
(B) Karl Marx
Which slogan did Lenin give to his people?
(A) Welfare State
(C) Bread, Peace and House
(C) Rousseau
(D) Voltaire
(B) Bread, Land and Peace
(D) Civilian Disobedience
15. Whose ideology influenced Lenin, the leader of Russian revolution?
(A) Max Muller
(B) German thinker Karl Marx
(C) Benito Mussolini
(D) Adolf Hitler
16. Who has hailed the Russian Revolution as “an unparalleled even of the twentieth century?
(A) Mahatma Gandhi (B) Mao-Tse-Tung (C) Pandit Jawaharlal Nehru
(D) Woodrow
Wilson
17. Who contributed significantly to the establishment of the League of Nations at the end of
world war-I?
(A) American President George Washington
(B) British Prime Minister Winston
Churchill
(C) American President Abraham Lincoln
(D) American President Woodrow Wilson
18. Which treaty is held responsible for the beginning of World war II?
(A) Paris
(B) Geneva
(C) Naples
(D) Versailles
19. Who created the Fascist Party in Italy?
(A) Bismarck
(B) Hitler
(C) Mussolini
(D) Napoleon
20. Which symbol did the Fascist Party adopt?
(A) Bundle of Sticks and Axe (B) Plough and Sickle (C) Sickle and Axe
Sickle
(D) Hammer and
21. Under whose leadership did India adopt the Non-alignment policy?
(A) Lal Bahadur Shastri
(B) Dr. Radhakrishnan
(C) Pandit Jawaharlal Nehru
(D) Smt. Indira Gandhi
22. Which policy has played an important role in the international politics?
(A) Non-alignment policy (B) Cold was policy
(C) Disarmament policy (D) Colonialism
23. Which is the most destructive and deadliest weapon among those invented by mankind?
(A) Chemical weapons
(B) Missiles
(C) Nuclear weapons
(D)Biological weapons
24. Between which two superpowers, was a balance of power established?
(A) America and Japan
(B) America and England
(C) America and Soviet Union
(D) France and Italy
25. When did China register as a ‘Nuclear Power’ after conducting a nuclear test?
(A) 1958
(B) 1960
(C) 1961
(D) 1964
26. Which of the following countries made the policy of non-alignment progressive?
(A) Myanmar
(B) Indonesia
(C) Pakistan
(D) Sri Lanka
27. Which is the first communist revolution?
(A) American War of Independence
(C) Chinese Communist Revolution
(B) French Revolution
(D) Bolshevik Revolution
28. In which year did Mikhail Gorbachev came to power in the Soviet Union?
(A) 1985
(B) 1988
(C) 1990
(D) 1992
29. Which event is considered as an unique event of the 20th century?
(A) Second World War
(B) Bolshevik Revolution
(C) Establishment of the UN
(D) Disintegration of the Soviet Union
30. There were many ‘small’ or ‘large’ battles, but there did not occur the ‘Third World War’.
Whom do we thank for this?
(A) Deterrence capacity of nuclear weapons.
(B) Destructive capacity of nuclear
weapons
(C) Peaceful co-existance policy
(D) Proliferation of Nuclear Weapons
31. Who had served as the President of the General Assembly of the UN?
(A) Dr. S. Radhakrishnan
(B) Jawaharlal Nehru
(C) Smt. Vijayalaxmi Pandit
(D) Dr. Rajendra Prasad
32. From India, who has performed the role of the chairperson of UNESCO?
(A) Smt. Vijayalaxmi Pandit
(B) Dr. Radhakrishnan
(C) Dr. Rajendra Prasad
(D) Jawaharlal Nehru
33. Which country has always supported Pakistan in the UN on the issue of Jammu-Kashmir?
(A) USA
(B) Soviet Union
(C) Sri Lanka
(D) Myammar
34. Which country has provided much help in establishing heavy and key industries in India?
(A) United States
(B) Soviet Union
(C) Germany
(D) Britain
35. During which crisis was a treaty of ‘Peace, Friendship and Co-operation’ signed between
India and the Soviet Union?
(A) Cuba
(B) Vietnam
(C) Congo
(D) Bangladesh
36. During 1961-62, Which country was put a blockade by America?
(A) Cuba
(B) Afghanistan
(C) Iran
37. ‘Perestroika’ means………….
(A) Rearrangement of Society
(C) Necessity of Disarmament
(D) Iraq
(B) Ban on Armament
(D) Rearrangement of Economy
38. When was the last war fought between India and Pakistan?
(A) In 2002
(B) In 1991
(C) In 1999
(D) In 2000
39. In which year did China attack the Indian border?
(A) 1958
(B) 1962
(C) 1967
(D) 1971
40. In which question of India has the Soviet Union been helpful to India in the Security Council of
the United Nations?
(A) On the border issue between China and India
(B) On the issue of terrorism inspired by Pakistan
(C) On the issue of Jammu-Kashmir.
(D) On the issue of the intrusion of Bangladesh.
MAT
In each of the following number series, a wrong number is given, find out that number
(1) 258, 130, 66, 34, 18, 8, 6
(a) 130
(b) 66
(c) 34
(d) 18
(d) 285
(e) 568
(d) 103
(e)169
(c) 48
(d) 14
(d) 37.5
(e) 157.5
(e) 8
(2) 2, 6, 24, 96, 285, 568, 567
(a) 6 (b) 24
(c) 96
(3) 4, 5, 14, 39, 103, 169, 290
(a) 5 (b) 14
(c) 39
(4) 6072, 1008, 200, 48, 14, 5, 3
(a) 1008
(b) 200
(e) 5
(5) 2, 3, 6, 15, 37.5, 157.5, 630
(a) 3 (b) 6
(c) 15
In each of the following number series, a wrong number is given, find out that number
(6) 2, 5, 11, 27, 58, 121, 248
(a) 5 (b) 11
(c) 27
(d) 58
(e) 121
(b) 821
(c) 740
(d) 619
(c) 21
(d) 86
(e) 445
(b) 164
(c) 84
(d) 44
(e) 24
(b) 19
(c) 30
(d) 43
(e) 60
(c) Copper
(d) Gems
(e) None of these
(7) 895, 870, 821, 740, 619, 445, 225
(a) 870
(e) 445
(8) 1, 2, 6, 21, 86, 445, 2676
(a) 2 (b) 6
(9) 644, 328, 164, 84, 44, 24, 14
(a) 328
(10) 3, 10, 19, 30, 43, 60, 75
(a) 10
(11) Karnataka : Gold : : Madhya Pradesh : ?
(a) Diamond
(b) Iron
Directions for Q. No. 12 and 13 : from the four-lettered word given below, select that word,
which best completes the analogy (?) that exists among the three words.
(12) King : Royal :: ? : Religious
(a) Prayer
(b) Saint
(c) Priesthood
(d) holy book (e) None of these
(c) Headache
(d) Fear
(13) Hill : Mountain :: ? : Pain
(a) Distress
(b) Discomfort
(e) None of these
Directions for Q. No. 14 and 15: In each of the questions that follow, there is question mark in
the blank space. Only one of the four alternatives given under the question satisfies the
same relationship as is found between the two words to the right of sign (::) given in the
question. Find the correct alternative in each of the question.
(14) ? : ALKLO :: WOULD : TLRIA
(a) DONOR
(b) CONES
(c) BARGE
(d) BLOCK
(c) ARMOUR
(d) GROUND
(15) ? : DURXQG :: POLICE : SROLFH
(a) AROUND
(b) SHOULD
Directions for Q. no. 16 to 21 : four of the following five are alike in a certain way and so form a
group. Which is the one that does not belong to the group?
(16) (a) Wood
(b) Stoone
(c) Tree
(d) Fruit
(e) Engine
(17) (a) Cumin
(b) Groundnut
(c) Clove
(d) Pepper
(e) Cinnamon
(18) (a) 52
(b) 96
(c) 24
(d) 36
(e) 48
(19) (a) Turmeric
(b) Ginger
(c) Radish
(d) Potato
(e) Gourd
(20)
(b) Toy
(c) Pen
(d) Scale
(e) Protactor
(b) Nurse
(c) Patient
(d) Medicine (e) Doctor
(a) Pencil
(21) (a) Hospital
Directions for Q. No. 22 to 26: In each of the following letter series, some of the letters are
missing which are given in that order as one of the alternatives below it. Choose the correct
alternatives.
(22) adb – ac – d – bcda – bcac – d
(a) bacbd
(b) cbadb
(c) dbacb
(d) acbda
(b) dcbcd
(c) bcdcb
(d) cdbcb
(23) – bdbc – d – c – bd – cd
(a) abdcd
(24) ef – h – gfe – hef – ehgefg –
(a) ehhfg
(b) ggfhe
(c) ghgfh
(d) egffh
(b) bbacb
(c) cabbc
(d) ccabc
(c) ttnqn
(d) qqtnt
(25) bc – b – c – ac – ab – ac
(a) aabac
(26) n – qn – nqt – tqqtn – n – tqt
(a) nnqtq
(b) qtnqt
Directions for Q. No. 27 to 31: Select the related word/letter/number/figure from the given
alternatives.
(27) West : North-East :: South : ?
(a) North-West
(b) South-East
(c) North
(d) East
(b) Peninsula
(c) Backwaters (d) Cliff
(b) NMPO
(c) MNPO
(d) MNOP
(b) 136
(c) 140
(d) 18
(c) 60
(d) 54
(28) Oasis : Desert :: ? : Sea
(a) Island
(29) QPRS : TUWV :: JIKL : ?
(a) NMOP
(30) 42 : 46 :: 110 : ?
(a) 132
(31) 5 : 100, 4 : 64 :: 4 : 80, 3 : ?
(a) 26
(b) 48
32. One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long
will they take to fill the cistern if both the taps are opened?
(A) 6 hours
(b) 7 hours
(C) 6.30 hours
(D) 7.30 hours (D) None of these
33. A tap can fill a tank in 25 minutes and another can empty it in 50 minutes. Find in how many
minutes the tank will be filled up or emptied?
(A) Tank is filled up in 50 minutes
(B) Tank is emptied in 25 minutes
(C) Tank is filled up in 25 minutes
(D) Tank is filled up in 30 minutes
(E) None of these
34. Two taps A and B can fill a tank in 10 hours and 15 hours, respectively, if both the taps are
opened together the tank will be filled in how many hours?
(A) 8 hours
(B) 6 hours
(C) 5 hours
(D) 5 hrs 30 min (E) None of these
35.
Two pipes A and B can separately empty a cistern in 12 hours and 15 hours respectively. In
what time will the cistern be empited, if both the pipes are opened together?
(A) 5 hours 30 min
none of these
(B) 7 hours
(C) 6 hours 40 min
(D) 6 hours (E)
36. Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe emptied
the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time the
tank will be filled?
(A) 7 hours 30 min
these
(B) 6 hours 40 min (C) 8 hours 30 min (D) 9 hours 30 min (E) none of
37. Two pipes A and B can fill a cistern in 24 minutes and 30 minutes, respectively. There is
also an outlet C. If all the three pipes are opened together, the cistern is filled in 20 minutes.
How much time will be taken by C to empty the full cistern?
(A) 30 min
38.
(B) 40 min
(C) 45 min
(D) 50 min (E) None of these
A cistern has leak which would empty in 8 hours. a tap is turned on which admits 6 liters a
minute into the cistern and it is now emptied in 12 hours. The cistern can hold
(A) 6840 liters
(B) 7860 liters
(C) 8640 liters (D) 1000 liters (E) None of these
39. If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the
reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the
reservoir?
(A) 35 hours
(B) 30 hours
(C) 40 hours
(D) 32 hours (E) None of these
40. A and C can do it in 4 days. Who among these will take the least time if put to do it alone ?
(1)A
these.
(2) B
(3) C
(4) Data inadequate (5) None of
41. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C
together can ,do it in 2 hours. How long will B alone4ake to do it ?
(1) 8 hours
(2) 10 hours
(C)112 hours
(4) 24 hours (5) None of these
42. A can do a certain work in the same time in which B and C together can do it, A and B
together could do it in 10 days and C alone in 50 days, then B alone could finish it in :
(1) 15 days
(2) 20 days
(3) 25 days
(4) 30 days (5) None of these
43. A works twice as fast as B. If B can complete a work in 12 days independently. The number
of days in which A and B can together finish the work is:
(1) 4 days
(B) 6 days
(3) 8 days
(4) 18 days (5) None of these 4
44. A is 30% more efficient than B. How much time will they, working together, take complete a
job which A alone could have none in 23 days?
(1) 11 days
(2) 13 day
(3) 20177 days (4) 15 days (5) None of these
45. Art A does half as much work as B in three-fourth of the time. If together they take 18 days
to complete the work, how much time shall B take to do it?
(1) 30 days
46.
(2) 35 days
(3) 40 days
(4) 20 days (5) None of these
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days
and left the job. In how many days, A alone can finish the remaining work?
(1) 5
(2) 5
1
2
(3) 6
(4) 8
(5) None of these.
47. Ram and Mohan can complete a work in 15 days and 10 days respectively. They started
doing the work together but after 2 days Mohan had to leave and Ram alone completed the
remaining work. The whole work was completed in:
(1) 8 days
48.
(4) 15 days (5) None of these
Love: Sorrow (B) Train: Car
(C) Rain: Flood
(D) Intelligence: Stupidity
Stage: Theatre
(A)
50.
(C) 12 days
Poverty: Prosperity
(A)
49.
(2) 10 days
Bedroom: House (B)
Car: Road (C) Patient: Hospital (D) School: Education
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are
forced to leave after 3 days. The remaining work was done by A in:
(A) 5 days
(B) 6 days
(C) 10 Days
*****
(D) None of these