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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^{∘},∠APB=300, and ∠AOB=45^{∘}∠AOB=450 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?
Time of A+B to do complete work =(18/40)×100=45
Let the time of B to do complete work alone is T =1/45−1/75=1/T
T=112.5 days
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?
Equating Time and part filled, =1/12×2/1=(1/x) 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,
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?
The value of tan 4^{0}. tan 43^{0} .tan 47^{0} .tan 86^{0} is
⇒tan4^{∘}⋅tan43^{∘}⋅cot4^{∘}⋅cot43^{∘}
=1
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?
2x=80
x=40
CP of article =Rs.270 when the selling price is Rs 180 loss%
Diameter of the cylindrical vessel is 14cm having some water. When a sphere of iron is totally submerged in this water level of water increased by 9(1/3)cm. What is the radii of the sphere?
∴ the volume of sphere = volume of the cylinder
∴ the volume of sphere = volume of a ,cylinder (4/3)π×R^{3}=π×7×7×28/3
R^{3}=343
R = 7cm
The given figure, AB = 16 cm, AC = 12 cm, BC = 14 cm, then the length of median AD will be 
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.
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=60km/hr
In two hour A cover distance =2×40=80km relative speed of A and B=60−40=20km/hr the A and B meet at point M in hours =80/20=4 In 4 hours, B cover distance = 4 x 60 = 240km.
The area of a square is 72.25 cm^{2}hoursthe the . 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 
tanθ=p/b
Therefore:
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}×(5)^{7}×(7)^{5}×(3)^{2}×(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%?
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+8×25÷10−18
⇒12+8×25/10−18
⇒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 the dust.
A=60−…−6
B=72−⋯−5
A_{n}=6×5/6=5,B_{n}=5×9/10=4.5
(6+5)x 31+(5+4.5)x x= 360, x = 2
In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern. Identify the figure that completes the pattern.
Find out from amongst the four alternatives as to how the pattern would appear on the sheet when the sheet is folded at the dotted line and is punched as given
In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
k d _ w _ k _ h w e _ d _ w _
Identify the diagram that best represents the relationship among the given classes.
Integers, prime numbers, even numbers
45+25= 70
51+32= 83 not 70
36+34= 70.
In the following question, a figure (x) is given having a pattern which is embedded in one or more than one of the given patterns (i), (ii), (iii) and (iv). Select the option in which the pattern (x) is embedded.
A conclusion is followed by two statements which give us data for the conclusion. Study that data and the conclusion on and mark the correct answer.
Conclusion: Education has become notoriously poor.
Statements: 1. Education should be rich.
2. Poor Education is not good.
If today is Thursday then what will the day after 415 weeks and 5 days?
Hence required day = Thursday + 5 days = Tuesday
Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.
What is the code for '%$&#'?
I. In a certain code 'PLAY' is written as '&#*$.’
II. In a certain code 'AWAY' is written as '#%&#'
Which of the following will be the mirror image of the given question figure (x), if the mirror is placed along the line MN. Choose the correct mirror image among (I), (II), (III) and (IV) given.
Two positions of the,, same cube are shown below. What is the colour of face opposite to 'red' coloured face?
From different positions, cube faces are as follows:
Six persons A, B, C, E, F and G, are having different weights. C is lighter than only one person, who is neither E nor B. A is the lightest one and F is not the heaviest one. E is lighter than B. F is lighter than at least three persons. B is lighter than how many persons?
Thus, we get,
__ < __ < __ < __ < C < __
since,
A is the lightest one and F is not the heaviest one.
Thus, G is the heaviest.
We get,
A < __ < __ < __ < C < G
Now,
E is lighter than B.
F is lighter than at least three persons.
We get two possibilities:
A < E < F < B < C < G
Or
A < F < E < B < C < G
In both the possible cases, B is lighter than 2 persons. Hence, option (b).
Answer the following question based on the information given below.
Among P, Q, R, S and T, who is the shortest?
I. P is shorter than Q but taller than T.
II. S is taller than R but shorter than P.
T< P < Q
No information is given about S and R.
Thus, the question cannot be answered using Statement I alone.
Using statement II alone:
P > S > R
No information is given about Q and T.
Thus, the question cannot be answered using Statement II alone.
Using both statements I and II together:
Q is the tallest and P is the second tallest.
But the shortest person cannot be determined.
Thus, the question cannot be answered using both statements I and II together.
Hence, option d is correct
How many triangles are present in the given figure?
In the following question, select the related letters from the given alternatives.
MQY:OU :: BFN: ?
Similarly, D comes exactly in between B and F; J comes exactly in between F and N
In each of the questions below are given some statements followed by two conclusions numbered I and II. 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 jets are sacks.
No sack is a tiger.
Some tigers are fins.
Conclusions:
I. No jet is a tiger.
II. No fins are sacks.
Conclusion I follows.
F is to the west of E. P is to the west of L, K is to the southwest of P. If E is to the northwest of P then towards which direction F must go so as to reach L ?
W is the mother of T. V is the father of F. P is the mother of F. If F is the niece of W then how is T related to F ?
In a certain code BERTH is coded as SVKFJ. What will be the code for SHRUB?
SHRUB= RUBSH
RUBSH= SWEWM
Arrange the given words in a meaningful sequence.
1. Thursday
2. Monday
3. Sunday
4. Friday
5. Tuesday
In each of the questions below, a statement/passage is given. From the options below, choose the one that reflects the correct choice of assumption(s) that follows/follow.
Many social media sites, forums, and message boards allow users to post using only a username that is virtually impossible to trace back to their reallife identity.
I. Some social media sites, forums take pride in preserving the absolute anonymity of their users.
II. It's important for social media sites to maintain the privacy of their users.
Each question given below consists of a statement, followed by two arguments I and II. You have to decide which of the arguments is a ‘strong’ argument and which is a ‘weak argument.
Statement: Should all education be made free for girls and women of all ages in India?
Arguments:
I. No, this will weaken our present social structure.
II. Yes, this is the only way to bring back glory to Indian womanhood.
In a certain code language, 315 means 'play is fun', 324 means 'game is nice', 614 means 'fun and nice'. Find the code for 'and'.
In each of the following questions, select the one which is different from the others.
(A) Pant (B) Coat
(C) Shirt (D) Sweater
In each of the following questions, a series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
9, 2, ?, 15, 25
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 _________.
World Tsunami Awareness Day being observed on __________.
Where was 46^{th} “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 ___________.
Hence option 3 is right answer.
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?
Used for central heating, cooking
 Transport fuel and numerous commercial applications.
 Chemical formulae: C_{3}H_{8}
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: C_{4}H_{10}
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 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 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 the 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 the the isthe the the themajority 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 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 overall health of a human body.
Fibre is found in many fruits, vegetables, grains and legumes, nuts and seeds.
Hence option 2 is right answer.
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.
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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