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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.
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=300, and ∠AOB=45^{0}∠AOB=45^{0} then ∠DOC∠DOC is equal to ?
A does 60% of the 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 to do complete work
= 45/60 x 100 = 75
Time of A+B to do complete work
= 18/40 x 100 = 45
Let 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 does it take for P alone to fill the tank?
Part of a tank filled in 1 Minute by tank P = 1/12
Part of a tank filled in 1 Minute by tank Q = 1/24
Part of tank Filled by P and Q in 4 minutes = 4 x (1/12 + 1/24) = 4 x 3/24 = 1/2
Remaining part = 1  1/2 = ½
Equating Time and part filled, = 1/12 x 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%.
The compound interest for the given condition can be given by,
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?
Average of 6 boys = Sum of the age of 6 boys/6
⇒ 14 = sum of ages of 6 boys/6
⇒ Sum of the age of 6 boys = 84
Now,
Average of 11 girls = sum of age of 11 girls/11
⇒ 12 = sum of age of 11 girls/11
⇒ Sum of the age of 11 girls = 132
Now,
Sum of age of all girls and boys together = 84 + 132 = 216
∴ Average = 216/17 = 12.7
The value of tan 4^{0}. tan 43^{0} .tan 47^{0} .tan 86^{0} is
tan4^{0}. tan43^{0}. tan47^{0} tan86^{0}
=. tan4^{0} tan43^{0}. cot4^{0} cot43^{0}
= 1
∴ (tan(90^{0}  9) = cotθ)
Profit obtained from selling an article for Rs 310 equals the loss incurred on selling that article for Rs 230. What will be the loss percentage when the selling price is Rs 180?
Profit/loss = (310  230) / 2
⇒ 80 / 2 = 40
Cost price = (230 + 40) or (310  40) = 270
Loss percentage when selling price is 180 = {(270  180) / 270} x 100
⇒ (90/270) x 100 = 100/3 = 33 1/3
Hence, option C is the correct answer.
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 increases by 913 cm. What is the radius of the sphere?
Then,
The volume of water displaced = Volume of iron ball
⇒ R^{3} = 7^{3}
⇒ R = 7.
The given figure, AB = 16 cm, AC = 12 cm, BC = 14 cm, then the length of median AD will be 
(16)^{2} + (12)^{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 ⇒ = 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?
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 concentration of acid in two solutions 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 ?
Suppose x must be added.
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
tan60 = √3 = p/25 → p = 25√3
= 25 x 1.73
= 43.3 m
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 the 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}
(9)^{11} × (5)^{7} × (7)^{5} × (3)^{2} × (17)^{2}
⇒ (3²)^{11} × (5)^{7} × (7)^{5} × (3)^{2} × (17)^{2}
⇒ (3)^{(22 + 2)} × (5)^{7} × (7)^{5} × (17)^{2} = (3)^{24} × (5)^{7} × (7)^{5} × (17)^{2}
∴ Total number of prime factors = sum of the powers of the expression = 24 + 7 + 5 + 2 = 38
What is the net discount (in %) for successive discounts of 30% and 50%?
Formula used:
Successive discount = X + Y  (XY)/100
Where,
X = First discount
Y = Second discount
Calculation:
Successive discount = X + Y  (XY)/100
X = 30%, Y = 50%
⇒ 30 + 50  1500/100
⇒ 65%
∴ The single equivalent discount is 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 offers a 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
Given expression: 12 + 8  25 ÷ 10 × 18 = 14
1) ÷ and  → 12 + 8 ÷ 25  10 × 18 =  167.68 ≠ 14
2) + and ÷ → 12 ÷ 8  25 + 10 × 18 = 156.5 ≠ 14
3)  and + → 12  8 + 25 ÷ 10 × 18 = 49 ≠ 14
4) × and  → 12 + 8 × 25 ÷ 10  18 = 14
Hence, “ × and  “ should be interchanged to correct the equation.
Two pipes can fill a tank in 1hr. and 72 min respectively. Both the pipes are open together but due to some dust in the pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actual efficiency respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then the tank can be filled in 31 min. Find out how much time it takes to clear dust.
L.C.M.  360
A = 60  6
B = 72  5
A_{n} = 6 x 5/6 = 5, B_{n} = 5 x 9/10 = 4.5
(6 + 5) x 31 + (5 + 435) x x = 360, x = 2
In each of the questions given below, which one of the five answer figures on the right should come after the problem figures on the left, if the sequence were continued?
Question Figure:
Answer Figure:
The sequence of problem figures is
and the whole figure rotates by 90° clockwise.
In the question given below, an unfolded dice is given while four answer choices are given in the form of complete dice. Select the correct answer which is formed by folding the unfolded dice.
Now, it is clear that all cubes I, II, III & IV can be formed by folding the dice.
Select the odd letter/word/number from the given alternatives.
How many such letters are there in the word BEACON each of which is as far away from the beginning as the word as when they are arranged in alphabetical order?
Original word: B E A C O N
On Arranging: A B C E N O
Required letters = None
Select the related word/ number from the given alternatives.
MANISH : JDKLPK :: SANJOG : ?
A word is represented by only one set of numbers as given in any of the alternatives. The set of numbers given in the alternatives are represented by two classes of alphabets as in the 2 matrices given below. The columns and rows of Matrix I are from 0 to 4 and that of Matrix II from 5 to 9. A letter can be represented first by its row and next by its column number. e.g., ‘C’ can be represented by 02, 21, etc. ‘T’ can be represented by 65, 96 etc. Similarly, you have to identify the correct set for the word given below.
A = 75, 56, 87, 68, 99
D = 00, 31, 12, 43, 24
J = 85, 66, 97, 78, 59
U = 95, 76, 57, 88, 69
S = 55, 86, 67, 98, 79
T = 65, 96, 77, 58, 89
So, ADJUST = 87, 31, 66, 69, 86, 89
What should come at the place of the question mark?
N5V, K7T, ?, E14P, B19N
What should come at the place of the question mark?
KM_{5}, IP_{8}, GS_{11}, EV_{14}, ?
In questions given below, select the number from the given alternatives.
1:8 :: 4: ?
In the question, select the related letters from the given alternatives.
REASON : SBFLXC :: STAIRS : ?
If the 3rd day of a month is Monday, which day will fall on the 5th day after the 21st of that month?
Thus, the 21st day is Friday.
.'. The fifth day from the 21st will be Wednesday.
From the given alternative words, select the word which cannot be formed using the letters of the given word.
How many such pairs of letters are there in the word ‘OVERWHELM ‘ each of which has as many letters between them in the word as in the English alphabet?
Alternate solution:
OVERWHELM
In Forward direction:
OPQR = OVER (OR has as many letters between them in the word as in the English alphabet)
ERWH = EFGH (EH has as many letters between them in the word as in the English alphabet)
LM = LM (LM has as many letters between them in the word as in the English alphabet)
In Reverse direction:
RWHELM = RQPONM(RM has as many letters between them in the word as in the English alphabet)
So, Required number of pairs of letters is 4. So, More than three is correct.
(prime number)2 + (prime number)
So, 2^{2}+2=4+2=6,
3^{2}+3=9+3=12,
5^{2}+5=25+5=30,
7^{2}+7=49+7=56,
11^{2}+11=121+11=132.
Hence the required term will be 132.
DIRECTIONS: Arrange the following in a logical order:
(i) Collector
(ii) Governor
(iii) Chief Secretary
(iv) President
(v) Clerk
Clerk → Collector → Chief → Secretary → Governor → President
In an examination in English, Harsh obtained more marks than the total of marks obtained by Kunal and Debu. The total of marks obtained by Kunal and Shankar were more than Harsh. Sonal obtained more marks than Shankar. Neha obtained more marks than Harsh. Who amongst them obtained the highest marks?
Kunal + Debu < Harsh…(1)
Kunal + Shankar > Harsh …(2)
Sonal > Shankar
Neha > Harsh
From (1) and (2)
Kunal + Debu < Harsh < Kunal + Shankar
Therefore, data is inadequate to answer who got the highest marks.
Vivek and Ashok start from a fixed point. Vivek moves 3 km north and turns right and then covers 4 km. Ashok moves 5 km west and turns right and walks 3 km. How far are they apart?
Required distance = 5 + 4 = 9 km
Select the related word/ number from the given alternatives.
(7, 27, 55)
7, 7×4 = 28−1 = 27, 7×8 = 56−1= 55
Same way
(9, 9×4 = 36−1 = 35, 9×8 = 72−1 = 71)
Choose the odd one out from the given alternatives.
Four of the following five pairs have the same relation between their elements and hence form a group. Which one does not belong to that group?
In each of the questions given below, which one of the five answer figures on the right should come after the problem figures on the left, if the sequence were continued?
Problem Figure:
Answer Figure:
In the following l,etter series, some of the letters are missing which are given in that order by one of the alternatives below it. Select the correct alternative.
a_ab_bcbc_caca_
Find the missing number from the following given figures.
15+4 = 19
In figure II = 3 x 8 = 24,
3 + 8=11
Then missing number is = 10 × 4
= 40
Rajiv is the brother of Arun. Sonia is the sister of Sunil. Arun is the son of Sonia. How is Rajiv related to Sunil?
Rajiv and Arun are sons of Sonia. Therefore, Rajiv is the nephew of Sunil.
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 the two new Indian Institutes of Science Education & Research (IISERs) be established?
In Shivaji’s Council of MinistersThe nephron, the Prime minister was called.
Money Bills are described in the Article _________.
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 Khandesh 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 the 46th “Know India Programme” in March, 2018 held?
In the case of spherical mirrors, the 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?
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 on 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.
There are over a million nephrons present in each human kidney.
Kirchhoff's 1st 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 the human body are 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 satellites?
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 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 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 a human body.
Fibre is found in many fruits, vegetables, grains and legumes, nuts and seeds.
Chemical elements which belong to the group 18 of the 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 the environment.
Statement: Refrigerators work on the principle of reverse heat engine.
Refrigerators and Air conditioners are typical examples 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 which 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 organs of the Human body?
Same viruses that cause colds or the flu also cause bronchitis.
Which of the following processes 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 is 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 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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