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Ashok remembers his birthday is after 21st December. While his mother remembers his birthday is before 23rd December. On which date of December is his birthday?
If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
Mode = 3 × 22  2 × 21 = 66  42 = 24.
O is the center of the circle. AC and BD are two chords of the circle intersecting each other at P. If ∠APB=30^{0},∠APB=30^{0}, and ∠AOB=45^{0}∠AOB=45^{0} then ∠DOC∠DOC is equal to ?
A does 60% of a work in 45 days. He then calls B, and they together finish the remaining work in 18 days. How long B alone would take to do the whole work?
Abhinash gets 32% marks out of 300 in computer Science. How much marks out of 200 he should get in java language paper so that out of total marks his percentage becomes 46% 
Total marks in both subjects = 500×46/100=230
In java = 230−96=134
Required percentage = =134/200×100=67%
There are two taps P and Q that can fill a tank in 12 and 24 minutes respectively. Both of them are opened together and after 4 minutes Q is closed. How long more it take for P alone to fill the tank?
Part of the tank filled in 1 minute by tank Q = 1/24
Part of the tank filled by P and Q in 4 minutes =
Remaining part =
Equating Time and part filled, =
x = 6 minutes
Find the compound interest on a sum of Rs 425 compounded half yearly for 2 years at the rate of 4%.
Therefore, the required compound interest is,
= Rs 35.03
Therefore, the compound interest is Rs 35.03.
Average age of 6 boys is 14 years. The average age of 11 girls is 12 years. What is the average age (in years) of all boys and girls?
And the average of 11 girls = 12 years.
So, Overall average
The value of tan 4^{0}. tan 43^{0} .tan 47^{0} .tan 86^{0} is
tan4°. tan43°. tan47°. Tan86°
=> tan4°.tan43°. cot4°. cot43° =1
(tan(90° — 9) = cotθ)
Profit obtained on selling an article for Rs 310 is equal to the loss incurred on selling that article for Rs 230. What will be the loss percentage when the selling price is Rs 180?
Let the profit & loss be x
ATQ,
310x=230+x
2x=80
X=40
CP of article =Rs.270
when the selling price is Rs 180
Diameter of the cylindrical vessel is 14 cm. having some water. When a sphere of iron is totally submerged in this water level of water increased by cm. What is the radii of the sphere?
d = 14 then r= 7
let the radius of sphere = R
∴ the volume of sphere = volume of cylinder
∴ volume of sphere = volue of cylinder
R^{3} = 343
R = 7 cm.
The given figure, AB = 16 cm, AC = 12 cm, BC = 14 cm, then the length of median AD will be 
(16)^{2} + (16)^{2} = 2(AD^{2} + CD^{2})
256 + 144 = 2AD^{2} + 98
AD = √151
Directions
Each question is followed by 2 statements. Go through these questions and answer the questions as per the instructions : choose your answer as: (A) If the question can be answered by using only statement (I), but not by using statement (II) alone. (B) If the question can be answered by using only statement (II), but not by using statement (I) alone. (C) If the question can be answered by using both the statements together, but cannot be answered by using either statement alone. (D) If the question cannot be answered by using both the statements together.
What is the number?
A. The product of two digits of a number is 27.
B. The sum of the two digits is 12. The ratio of the ten's digit to the unit digit is 3:1.
Let the ten's and unit’s digit be x and y respectively.
From A, xy = 27
From B, x + y = 12 and Now,
3y + y=12
4y=12 =>y=3
x=3y=9
Number = 93
Thus, B alone gives the answer and A alone does not give the answer
Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 km/h and 60 km/h respectively. B overtakes A at M, which is on the way from R to S. What is the distance from R, where B overtakes A?
speed of B= 60 km/hr
In two hour A cover distance= 2 x 40 = 80km
relative speed of A and B=6040=20 km/hr
the A and B meet at point M in hours= 80/20 = 4
In 4 hours B cover distance= 4 x 60 = 240 km
The area of a square is 72.25 cm^{2} . Find its perimeter (in cm).
Side =8.5
Perimeter = 4 side = 4 8.5=34cm
Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their ascending order of magnitude.
The concentrations of acid in two solution A and B is 19 percent and 9 percent respectively.In what ratio solution A and B should be mixed to get a solution having 17 percent acid?
The required ratio=8:2=4:1
Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively
So HCF of 1572 and 3799
So, 131 Is the number.
What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6 ?
Then, 2+x/5+x=5/6
12 + 6x = 25 + 5x
x = 13
The angle of elevation of the top of a tower at a distance of 25 m from its foot is 60^{0} . The approximate height of the tower is 
How many whole numbers are there between 52 and 356 which are exactly divisible by 6?
Last whole number which is divisible by 6 between 52 and 356 is 354
So, by using AP formula:
Last term = first term + (number of terms1) × Common difference
354 = 54 + (n1) × 6
300 = (n1) × 6
50= (n1)
So, n =51
Therefore,
There are 51 whole numbers between 52 and 356 which are exactly divisible by 6.
Directions
In the following problems, there is one question and some statements given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find out which of the statements is/are sufficient to answer the given question. Choose the correct alternative for each question.
Question:
What will be the total weight of 10 poles, each of the same weight ?
Statements:
I. Onefourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
So, total weight of 10 poles = (20 x 10) kg = 200 kg.
From II, we conclude that:
Weight of each pole = (weight of 3 poles)  (weight of 2 poles) = 20 kg.
So, total weight of 10 poles = (20 x 10) kg = 200 kg.
B starts some business by investing Rs 90000. After 4 months, D joins business by investing Rs 80000. At the end of the year, in what ratio will they share the profit?
Calculate the total numbers of prime factors in the expression (9)^{11} × (5)^{7} × (3)^{2} × (17)^{2}
⇒ (3)^{22} x (5)^{7} x (7)^{5} x (3)^{2} x (17)^{2}
Total no. of prime factors, n = Sum of powers
∴ n = 22+7 + 5 + 2 + 2
∴ n = 38
What is the net discount (in %) for successive discounts of 30% and 50%?
= 80  15
= 65%
In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?
ATQ,
7x+2x = 45
9x = 45
So, x = 5
And, Liquid A is 35 and Liquid B is 10 litres respectively.
Liquid B becomes 21 litres.
Therefore,
Liquid A/Liquid B = 35/21 = 5/3
A shopkeeper offer Rs. 19% discount on a mobile phone with a marked price of Rs. 7400. If he still earns a profit of Rs. 500, what is the cost price of the phone?
Therefore,
SP = 7400 × (10019) %
SP=7400×81/100
SP = 5994
So,
Cost Price = Selling Price  Profit
CP = 5994600
CP = 5494
The following equation is incorrect. Which two signs should be interchanged to correct the equation?
12 + 8  25 ÷ 10 x 18 = 14
After interchanging signs,
12 + 8 x 25 ÷ 1018
⇒ 12 + 8 x 25/10  18
⇒ 12 + 20 18
⇒ 14
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.
In the following question, select the related numbers from the given alternatives.
5327 : 2105 ∷ 7134 : ?
5*3*2*7= 210
And, 3+2=5
Written as → 2105
Similarly,
7*1*3*4= 84
3+1= 4
Written as → 844
Which of the words in the following options can be formed using the given word ?
CORRESPONDING
There is only one ‘S’ in the given word. So, RESPONSE cannot be formed.
The following figure consists of a 3x3 matrix. The matrix consists of 9 different figures. The figures are such that 3 of them bear a similar relation and form group 1, another 3 figures bear a relation and form group 2 and similarly the rest 3 bear another relationship and form group 3. Find the option which shows all three groups in the correct sequence.
Group 1  (8, 3, 4)  one by one in each step, lines are removed.
Group 2  (6, 7, 9)  one by one in each step, each block is shaded.
Group 3  (2, 5, 1)  one by one in each step, the parallel blocks are removed.
In the following question, select the related letter/word/number from the given alternatives.
Hooghly : Jute :: Ahmedabad : ?
If in a certain code 'MEDIUM' is coded as '632516' and 'HOTEL' is coded as '94738' then how will 'LIMITED' be coded as in the same code?
The code for LIMITED will be '8565732'
DIRECTIONS: Study the following information to answer the given questions
In a certain code:
‘swords hidden in area’ is written as ‘white black yellow red’
‘ready swords for attack’ is written as ‘grey pink red green’
‘hidden for own safety’ is written as ‘silver grey violet white’
‘own area under attack’ is written as ‘violet blue pink black’
‘black pink yellow’ could be a code for which of the following?
From 1 & 2
swords = red
From 1 & 3
hidden = white
From 3 & 4
own = violet
From 1 & 4
area = black
From 1
in= yellow
From 2 & 3
for= grey
From 2
ready = green
From 3
safety = silver
From 4
under = blue
So, ‘black pink yellow’ is ‘Area in attack’
How many Sundays are there in between 3rd June 2016 and 3rd October 2016, if it is given that 1st June 2016 was Wednesday.
3rd June 2016 = Friday
Number of days from 3rd June 2016 and 3rd October 2016 = 30+31+31+30= 122
122 when divided by 7, we get, remainder = 122  119 = 3
And, 119/7 = 17
Thus, there will be 17 full weeks in between which means 17 Sunday.
But, 3 remainder is there, which gives one more Sunday, as Friday + 3 = Monday (in between there is Sunday)
Total Sundays = 17+1= 18
In each of the questions below, one statement is given, followed by two conclusions which may or may not follow. From the options below, choose the one that reflects the correct choice of conclusion(s) that follows/follow.
P is a company which sells mattresses. In its ads, it says it is making dreams.
I. Taglines and slogans have always been an integral part of companies' marketing communication.
II. The hype of sloganeering bears no resemblance to the reality of actual business.
In each of the questions given below, there are two statements followed by an inference. Mark the correct option accordingly.
(a) Managers are encouraged to develop and maintain good working relationships with employees.
(b) Good working relationships result in stronger commitment and support, as well as better performance.
Inference: A company which has good working relationships between managers and employees performs better than the one which doesn't have them.
In the following question, select the related letters from the given alternatives.
FISJ : DFVH ∷ RWEM : ?
F  2=D
I  3=F
S + 3=E
J  2=H
Similarly,
R  2=P
W  3=T
E + 3=H
M  2=K
Each of the following questions consists of a question and two statements numbered I and II. You have to tell whether the data provided in the statements is sufficient to answer the question or not.
Five shapes  pentagon, triangle, square, rectangle and circle, are drawn on a paper. Each shape has different size.
Which shape is the smallest?
I. Circle is larger than Triangle, which is smaller than both square and rectangle. Pentagon is smaller than triangle.
II. Neither square nor circle, is the largest. Pentagon is smaller than circle, which is smaller than square.
From I alone, we get 
→ Circle is larger than Triangle, which is smaller than both square and rectangle.
Circle, square, rectangle > Triangle
Also,
→ Pentagon is smaller than triangle.
So, we get that Pentagon is the smallest.
Circle, square, rectangle > Triangle > Pentagon
Hence, I alone is sufficient.
From II alone, we get 
→ Pentagon is smaller than circle, which is smaller than square.
Square > Circle > Pentagon
→ Neither square nor circle, is the largest.
Thus, either rectangle or triangle is the largest.
And, the smallest can be either Pentagon or triangle or rectangle.
Thus, II alone is not sufficient.
Suraj walked 3km towards west and reached point A and he turned right and walked another 5km to reach point B. From point B he took a left turn and walked another 7km to point C. After covering another 4km he rested for a while. How much distance had Suraj covered from point A till the time he stopped?
Required distance = 5+7+4 = 16km
In each of the questions below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
All lights are bulbs.
No bulb is a lamp.
All lamps are torches.
Conclusions:
I. No torch is a bulb.
II. No light is a lamp.
If some lights are lamps, some lamps would be bulbs, which contradicts the given statement.
The numbers in the matrix given below follow a certain trend rowwise and/or columnwise. Study the trend and choose the number which will replace the question mark.
10+56+16+26 = 108
Similarly,
58+10+26+ (?) = 108
We get, (?)= 108  94 = 14
If 'x' means 'addition', '' means 'division', '/' means 'subtraction' and '+' means 'multiplication', then what will be the value of the expression '6+2/1224+4x3'?
In a certain code language, "Felicity Smoke Malcolm Merlyn" is coded as "Aa Cc Ff Rr", "Oliver Queen Malcolm Smoke" is coded as "Dd Gg Ff Aa" and "Arrow Sara Queen Malcolm" is coded as "Ww Zz Gg Ff". Find what will be the code for "Smoke Queen"?
Given;
"Felicity Smoke Malcolm Merlyn" is coded as "Aa Cc Ff Rr" (I)
"Oliver Queen Malcolm Smoke" is coded as "Dd Gg Ff Aa" (II)
"Arrow Sara Queen Malcolm" is coded as "Ww Zz"Gg Ff" .. (III)
From (I), (II) and (III);
Malcolm = Ff
Now,
From (I) and (II);
Smoke = Aa
From (II) and (III);
Queen = Gg
Identify the diagram that best represents the relationship among the given classes.
Children, students, adults
We get,
Each question given below consists of a statement, followed by two arguments numbered I and II. Decide which of the arguments is a 'strong' argument and which is a 'weak' argument and choose the corresponding option as your answer.
Should loud music be permitted at weddings?
I. No, because it causes noise pollution which may affect other people in the neighbourhood.
II. Yes, because weddings cannot be enjoyed without loud music.
How many triangles are there in the given figure?
∆ABL, ∆BCD, ∆DEF, ∆FGH, ∆HIJ, ∆JKL, ∆KCG, ∆AEI, ∆LBM, ∆BMD,
∆DMF, ∆MFH, ∆HJM, ∆JLM, ∆ADJ, ∆BEH, ∆LFI, ∆CLF, ∆KBH, ∆JDG
While introducing a man to Geeta, Mohan said "He is the only son of the paternal grandfather of the daughter of sister of my mother." How is that man related to Mohan?
There are two sets of figures namely problem Figure containing five figures 1, 2, 3, 4, 5 and answer figures (a), (b), (c), (d). You have to select one Figure from the answer set which will continue the same series as given in problem set figures.
Each of the following questions consists of a question and two statements numbered I and II. You have to tell whether the data provided in the statements is sufficient to answer the question or not.
How is 'salty bitter' coded in the given code language?
I. 'sugar is sweet' is coded as '76 12 98'; and, 'food is salty' is coded as '98 54 15'.
II. 'salty junk food' is coded as '34 15 54'; and, 'bitter junk food' is coded as '54 19 34'.
'sugar is sweet' is coded as '76 12 98'
'food is salty' is coded as '98 54 15'.
We get,
Is= 98
We can't get the answer from I alone.
From II alone 
'bitter junk food' is coded as '54 19 34'
'salty junk food' is coded as '34 15 54'
Junk /food = 34/54
Salty = 15
Bitter = 19
Hence, II alone is sufficient.
In the following question, four figures marked A, B, C and D, are given. Among these, three figures follow the same pattern and remaining one figure doesn't follow that pattern and hence, is odd. Mark the option which denotes the odd figure.
The series is given, with one term missing. Choose amongst the given responses and complete the series.
ABBD, BCDF, CDFH, DEHJ, __.
In 1st term;
1st and 2nd letters are: 
A = 1
B = 2
3rd and 4th letters are: 
1 x 2 = 2 = B
2 x 2 = 4 = D
In 2nd term;
1st and 2nd letters are: 
B = 2
C = 3
3rd and 4th letters are: 
2 x 2 = 4 = D
3 x 2 = 6 = F
In 3rd term;
1st and 2nd letters are: 
C = 3
D = 4
3rd and 4th letters are: 
3 x 2 = 6 = F
4 x 2 = 8 = H
In 4th term;
1st and 2nd letters are: 
D = 4
E = 5
3rd and 4th letters are: 
4 x 2 = 8 = H
5 x 2 = 10 = J
In 5th term;
1st and 2nd letters are: 
E = 5
F = 6
3rd and 4th letters are: 
5 x 2 = 10 = J
6 x 2 = 12 = L
So, we get:  EFJL
Complete the following series:
Y, F, T, G, O, H, J, I, ?, ?
And,
F G H I J
We get, answer  E, J
15th edition of Pravasi conference will be held in:
How many members of the AngloIndian community can be nominated by the President of India to the Parliament?
Which Amendment of the Constitution deals with Political defections?
Where will be the two new Indian Institutes of Science Education & Research (IISERs) established?
In Shivaji’s Council of ministers the Prime minister was called.
Money Bills are described in the Article _________.
Mahadev hills
The Tapti River is one of the major rivers of peninsular India with a length of around 724 kilometres (450 mi). It is one of only three rivers in peninsular India that run from east to west  the others being the Narmada River and the Mahi River. The river rises in the eastern Satpura Range of southern Madhya Pradesh state, and flows westward, draining Madhya Pradesh's Nimar region, Maharashtra's Kandesh and east Vidarbha regions in the northwest corner of the Deccan Plateau and south Gujarat, before emptying into the Gulf of Cambay of the Arabian Sea, in the Surat District of Gujarat. The river, along with the northern parallel Narmada River, form the boundaries between North and South India. The Western Ghats or Sahyadri range starts south of the Tapti River near the border of Gujarat and Maharashtra. The Tapti (Tapi) River empties into the Gulf of Khambhat near the city of Surat in Gujarat.
World Tsunami Awareness Day being observed on __________.
Where was 46th “Know India Programme” in March, 2018 held?
In case of spherical mirrors, focal length is _______ of its radius of curvature image.
Lemon contains Citric acid in the same way Vinegar contain ___________.
When a pendulum is at either side of the peak in its oscillation, its potential energy is _______ while kinetic energy is _______.
The peak position: its potential energy is maximum while kinetic energy is minimum
The middle rest position: its potential energy is minimum while kinetic energy is maximum
________________ are a species of plant which are adapted to life in a dry or physiologically dry habitat.
Examples Cacti, Pineapple, Pine trees etc
Nylon, Polyvinyl Chloride & Teflon are all examples of polymers extremely useful in everyday life.
Which of the following are examples of Natural Gas Liquids?
Propane  lower boiling point
Used for central heating, cooking
 Transport fuel and numerous commercial applications.
 Chemical formulae: C3H8
Butane  used mainly in cylinders for portable applications in home
 For leisure activities such as boats, caravans and barbecues.
 Used as a propellant, refrigerant or to fuel torches
 Chemical formulae: C4H10
Glucose, essential to a living being, has a molecular formula of ____________.
Glucose comes from foods which are rich in carbohydrates, like rice, bread, potatoes etc. Glucose is released when enzymes act of the food passage through the oesophagus to the stomach.
Nephron is the functional unit of the__________ in the human body.
Producing urine in the process of removing waste in the body and excess substances from the blood.
The are over a million nephrons present in each human kidney.
Marie Curie was awarded Nobel Prize in Chemistry in 1911 for her discovery of ___________ and Polonium.
She successfully isolated radium and conducted study upon its nature and characteristics.
Kirchhoff's 1^{st} law states that current flowing into a node (or a junction) must be _____________to current flowing out of it.
Or The algebraic sum of currents in a network of conductors meeting at a point is zero
Atomic Number of Carbon is _______whereas its Mass number is ______.
Carbon atomic no.: 6; Mass No.: 12
Carbon is one of the most abundant elements commonly found in all living organisms. It contains 6 protons in the nucleus as well as 6 neutrons.
New blood cells in human body is produced in __________.
• Bone marrow produces almost 200 bn new red blood cells every day, along with white blood cells and platelets essential to the human body
• Red blood cells (erythrocytes) help in transportation of oxygen around the body
• White blood cells (leukocytes) help fight infection and diseases
A sitar changes __________ energy to _______ energy whereas a microphone changes ___________ energy to ____________ energy.
Which of the following are true regarding Geosynchronous satellite?
Which of the following statements are true regarding the element, SODIUM?
 Highly reactive and low melting point
 Used in manufacturing of glass, soap etc.
Sodium is the 6th most abundant element in The Earth's crust.
Sun, stars, electric bulbs are examples of _________ bodies whereas moons, trees, rocks are examples of ___________ bodies.
NonLuminous bodies Objects that do not emit light on their own but can be seen when light falls on them. Example moons, trees, rocks etc.
Transparent Objects which allow majority of light rays to pass through them. Example Glass
How much electrical charge passes through an electrical appliance with a resistance of 50 ohm and a power consumption of 1800 watts.
According to the question,
: P= I^{2}R
Or 1800 = I^{2} x 50
Or I= 6 Ampere
An _____________ process is one in which no heat is gained or lost by the system.
An isothermal process is a thermodynamic process in which the temperature of a system remains constant. The transfer of heat into or out of the system happens so slowly that thermal equilibrium is maintained.
An isobaric process is one where the pressure of the system (often a gas) stays constant in the thermodynamic system.
An isochoric process is a thermodynamic process in which the volume remains constant.
A body with an initial velocity of 10 m/s gets displaced 9 m while moving with an acceleration of 2 m/sec^{2}. What is the final velocity?
U= Initial velocity, V= final velocity, a= acceleration and S= displacement
Putting the value in the equation we get,
V^{2} = 102  2*2*9
V^{2}=64
Or V= 8 m/s^{2}
___________ are fibrous indigestible substance that are essential in human diet for aiding digestion
Roughages are beneficial to the overall health of the human body.
Fibre is found in many fruits, vegetables, grains and legumes, nuts and seeds.
Chemical elements which belong to the group 18 of periodic table are called___________.
The elements are helium, neon, argon, krypton, xenon, and radon.
Having optimum valence electrons in their outer shell, they are the most stable elements found in environment.
Statement: Refrigerators work on the principle of reverse heat engine.
Refrigerators and Air conditioners are typical example of reverse heat engines.
Efficiency does not play any role in the simple working of any of these processes.
Which of the following is the semi fluid substance upon with organelles of the animal cell are found?
Its constituents are water (80  85%), proteins (10  15%), lipids (2  4%) and rest are polysaccharides and nucleic acids.
All the organelles like Ribosomes, Mitochondria, golgi apparatus etc. are found in this.
Alexander Fleming was a Scottish physician & pharmacologist who is best known for his discovery of ____________.
Fleming's discovery of penicillin occurred in 1928, while he was investigating a common type of bacteria that causes boils and infections in patients with weakened immune systems.
Bronchitis is an ailment related to which of the following internal organ of the Human body?
Same viruses that causes cold or the flu also cause bronchitis.
Which of the following process take place in a blast furnace in a metallic extraction industry?
Soldering is a process in which two or more metal items are joined together by melting and then flowing a filler metal into the joint  the filler metal having a relatively low melting point. Soldering is used to form a permanent connection between electronic components.
Forging is an afterextraction process where metal is given its desired shape.
_____________ is the act or process of making soap.
Saponification is a process by which triglycerides are reacted with sodium or potassium hydroxide (lye) to produce glycerol and a fatty acid salt, called "soap."
There are 2 compounds involved in this process Fat and an Alkali.
Which of the following is a 2terminal diode which stores electrical energy and used in everyday appliances?
The plates accumulate electric charge when connected to the power source. One plate accumulates the positive charge and the other plate accumulates a negative charge.
The capacity of a capacitor to store electrical energy is called Capacitance.
Which of the following is responsible for the floating of the brain in the Human skull?
The cerebrospinal fluid is kept separate from the blood supply by the bloodbrain barrier
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