1 Crore+ students have signed up on EduRev. Have you? 
A 6 mlong vertical pole casts a shadow of 4 m. At the same time, a tower casts a shadow 25 m long on the ground. The height of the tower is :
Let the angle of elevation of the top of the tower from the endpoint of the shadow be
Then
∴ Height of the tower = 3/2 x 25 = 37.5 m
Two circles of radius 37 cm and 20 cm intersect each other at P and Q. O and O’ are the centres of the circles. If the length of PQ is 24 cm, then the distance between their centre is:
OP = 37 cm and O P = 20 cm
PQ = 24 cm
PM = MQ = 12 cm
OM = 35 cm
O'M = 16 cm
OO' = OM 4 + O’M
OO’ = 35 + 16 = 51 cm
Concentrations of three solutions A, B and C are 20%, 30% and 40% respectively. They are mixed in the ratio 3: 5: x resulting in a solution of 30% concentration. Find x
⇒ 2.1 + 0.4x = 0.3(8+x)
⇒ 2.1 + 0.4x = 2.4 + 0.3x
or, x = 3
In which of the following is p > q?
I.(0.9)^{p} > (0.9)^{q}
II.(1.8)^{p} < />^{q}
III.(8.5)^{p} > (8.5)^{q}
IV.
If (N)^{p} > (N)^{q} when N > 0 and positive integral
= p > q
If ( N )^{p} > (N)^{q} when N > 0 and fractional
= p
If (N)^{P} < (N)^{q} when N > 0 and positive integral
=p < q
If ( N )^{p} < ( N)^{q} when N > 0 and fractional
= p > q
Using these results we get option C is the correct answer.
There are some rabbits and some pigeons in a zoo. If their heads and feet are counted, the number of heads is 90 and their feet are counted, then their number of feet is received 224. Tell me how many rabbits are there in this zoo?
Ratio = 22:68
That is, the number of rabbits is 22.
A shopkeeper marks the price of an article at Rs. 320. Find the cost price if after allowing a discount of 10%, he still gains 20% on the cost price.
A shopkeeper marks the price of an article at Rs.320
Therefore, SP of the article after a discount of 10%
CP of the article with a profit of 20%
x = Rs. 240
CP of the article = Rs.240
With the increase in the price of pressure cooker by 20%, its sale decreases by 50%. How much of a shopkeeper will earn less or more income from the past?
=  30  10
=  40%
Percentage decrease in income = 40%
If '' stands for division, '+' for multiplication, ' ÷ ' for subtraction and 'x' for addition, which one of the following equations is correct?
After replacing signs,
18÷3×2+8−6
⇒ 18/3×2+8−6
⇒ 12+8−6
⇒ 14
From a container, 5 litres of wine was drawn out and was replaced by soda. Again 5 litres of the mixture was drawn out & replaced by the soda. Thus the quantity of wine and soda in the container after these two operations is 9:16. The quantity of the mixture is
K = 12.5 liters
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Then, number = 10x + y.
Number obtained by interchanging the digits = 10y + x.
∴ (10x + y) + (10y + x) = 11(x + y), which is divisible by 11.
The sum of the 28th, 29th and 30th terms of an Arithmetic Progression, which has 57 terms, is 111. Find the arithmetic mean of the progression.
Hence, the required mean
Similar expressions can be written for other terms as well.
Mahesh grows potatoes in his backyard which is in the shape of a square. Each potato takes 1 cm^{2} in his backyard. This year, he has been able to grow 137 more potatoes than last year. The shape of the backyard remained a square. How many potatoes did Mahesh produce this year?
x^{2}−y^{2} = 137
(x+y) (xy) = 137 x 1
x + y = 137  (i)
x  y = 1  (ii)
On solving eq. (i) & (ii), we get
x = 69, y = 68
No of potatoes produced this year = 69^{2} = 4761
The dimensions of a luggage box are 80 cm, 60 cm and 40 cm. How many sq. cm of cloth is required to cover the box?
where l= length,
b= breadth,
h= height of the cuboid
Let the length, breadth and height of the luggage be l , b, h respectively
Here, l= 80 cm, b= 60 cm, h= 40 cm
Therefore, area= 2(80 x 60+60 x 40+40 x 80) cm^{2}
= 2(4800+2400+3200) cm^{2}
= 2 x 10400 cm^{2}
=20800 cm^{2}
20800sq. cm of cloth is required to cover the box
In how many years will 800 rupees 10% annual compound interest rate be 926.10 if interest is biannually combined?
t = 3
Hence required year = 3/2 = 1.5 year
A shopkeeper earns a profit of 12% on selling a book at a 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
∴ SP = Rs. 112
If the marked price be Rs. x, then
90 % of x = 112
Required Ratio = 100 :
= 900 : 1120 = 45 : 56
What is the mode of the following list of numbers:
52, 54, 55, 56, 55, 54, 53, 55, 53, 51, and 57 ?
So 55 is the mode as it comes 3 times.
In an election, there were only two candidates. One of the candidates secured 40% of the votes and is defeated by the other candidate by 298 votes. The total number of votes polled is?
Let the total number of votes = 100
20 units = 298
1 unit = 298/20
100 units = 298/20 x 100
= 1490
Read the following graph carefully and answer the question given below.
For which year, the percent increase of foreign exchange reserves over the previous year, is the highest?
So maximum is in 1992  93.
Read the following graph carefully and answer the question given below.
The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves is?
The country had reserves above 3480 million US $ during the years 199293, 199697 and 199798, i.e., for 3 years and below 3480 million US $ during the years 199192, 199394, 199495, 199556 and 199899 i.e., for 5 years.
Hence, required ratio = 3 : 5.
Read the following graph carefully and answer the question given below.
The foreign exchange reserves in 199798 were how many times that in 199495?
D is 4 years younger than B and C is 4 years older than A. A and B are twins. If the average age of all the four boys is 11 years, then the sum of the ages of the youngest and the oldest boy is
Age of D = y4 years
Age of C = y+4 years
Then,
y4+y+y+y+4 = 4 x11
y = 11
Sum of ages of the youngest and oldest boy = 7+15 = 22 years
Find the LCM of the following fractions: 2/3, 8/9, 16/27, 32/81
LCM of the following fractions:
Therefore LCM of 2,8,16, & 32 = 32
HCF of 3,9,27,81 =3
Therefore LCM of above fractions = 32/3
Present age of Ajit and Amar are in the ratio of 8: 7 and after four years ratio of their ages will be 9: 8. Find the present age of Amar?
According to the question,
64x + 32 = 63x + 36
⇒ x = 4
so,
Present age of Ajit = 8 x 4 = 32 years
Present age of Amar = 7 x 4 = 28 years
Read the following information carefully and answer the question given below
In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social Studies, 24% in Biology and English, 35% in English and Social Studies, 27% in Biology and Social Studies and 5% in none.
If the number of students in the class is 200, how many passed in only one subject?
53 + 61 + 60  24  35 27 + x = 95
x = 7
Percentage of student passed only in 1 subject
= 9 + 9 + 5 = 23%
Now 23% of 200 = 46 students
Read the following graph carefully and answer the question given below.
The number of mobile sim cards in 4 states are given in multiple bar diagrams.
In Assam, the ratio of Aircel sim card and Artel Sim card sold is:
In Assam, Airtel sim cards sold = 5 lakhs
The Ratio of Aircel and Airtel sim cards sold = 2/5 = 2:5
Read the following graph carefully and answer the question given below.
The number of mobile sim cards in 4 states are given in multiple bar diagrams.
In Which state are there the largest number of owners of Airtel sim card?
(Tamil Nadu)
Marked price of articles ‘P’ and ‘Q’ are Rs. 50 and Rs. 35 respectively. With every article of ‘P’, 2 pencils worth Rs. 3 each are given free and with every article of ‘Q’, 3 pens worth Rs. 5 each are given free. If a customer buys 3 articles of ‘P’ and 2 articles of ‘Q’, then what is the approximate discount percentage?
Total price = 50 x 3 + 6 x 3 = Rs. 168
With 2 articles of Q, 6 pens are given free
Total price = 35 x 2 + 6 x 5 = Rs. 100
Total Price of all product = Rs 268
Discount given = 18+30 = Rs 48
Discount Percentage = 48/268×100 ≈ 18%
The cash difference between the selling price of an article at a profit of 2% and 12% is Rs. 3. The ratio of two selling prices is:
Then
SP_{1} = 102 units
SP_{2} = 112 units
Now difference between SP = 10 units
A.T.Q
10 units = Rs.3
1 unit = 3/10
In a certain code language ‘POETRY’ is written as ‘QONDSQX’ and ‘OVER’ is written as ‘PNUDQ’. How is ‘MORE’ written in that code language?
As
Similarly,
Which of the answer figure is embedded in the problem figure?
Arrange the words given below in a meaningful sequence.
1. Key
2. Door
3. Lock
4. Room
5. Switch on
Key Lock Door Room Switch on
1 3 2 4 5
Which of the given answer figure will be the correct mirror image of the problem figure?
DIRECTIONS: Which of the words in the following options can be formed using the letter of the given word?
DETERMINATION
There is no ‘L’ in the given word. So, NATIONAL cannot be formed.
There is no ‘V’ in the given word. So, DEVIATION cannot be formed.
DIRECTIONS: Solve the following letter series.
adb _ ac _ da _ cddcb _ dbc _ cbda
DIRECTIONS: Choose the odd one out from the given alternatives.
DIRECTIONS: Choose the odd one out from the given alternatives.
Arrange the following words according to the English Dictionary.
(1)Save
(2) Sausage
(3) Saviour
(4) Savour
(5) Savage
DIRECTIONS: Find the odd one out from the given alternatives.
343 = 7 × 7 × 7
64 = 4 × 4 × 4
27 = 3 × 3 ×3
Select the correct combination of mathematical signs to replace * signs and to balance the given equation:
15 * 24 * 3 * 6 * 17
15 * 24 * 3 * 6 * 17
After applying, + ÷ – =
15 + 24 ÷ 3 – 6 = 17
⇒ 15 + 8 – 6 = 17
⇒ 23 – 6 = 17
⇒ 17 = 17.
DIRECTIONS: In the question given below, an unfolded dice is given on the left side while on the right side, four answer choices are given in the form of complete dices. You have to select the correct answer choice(s) which is formed by folding the unfolded dice.
Hence, only option (d) is correct.
Pointing to a girl in a photograph, Sunita said, "She is the mother of Renu, whose father is my son". How is Sunita related to that girl?
Rihana walks 3 km from her house in the East direction to reach the bus stop. She takes a bus and goes 17 km ahead. After getting down from the bus, she walks 2 km on the left side, to reach the spot where she meets Santa. Santa and Rihana take a right from that point and travel 3 km to reach the marketplace. After shopping, they turn right from the marketplace and walk 2km to reach Sanita house for a cup of tea. What is the straight line distance between Rihana’s house and Sanita house?
Select the correct order of the letters as indicated by the numbers to form a meaningful word.
E L B M A G
1 2 3 4 5 6
DIRECTIONS: Select the related word from the given alternatives.
BDGK : CEHL :: ???? : DFIM
SAME WAY
DIRECTIONS: Which of the words in the following options can be formed using the letter of the given word?
CORRESPONDING
There is only one ‘S’ in the given word. So, RESPONSE cannot be formed.
DIRECTIONS: What will come in place of question marks?
20, 20, 19, 16, 17, 13, 14, 11, ?, ?
There are two series.
1st series:
2nd series:
DIRECTIONS: What should come at the place of the question mark?
N5V, K7T, ?, E14P, B19N
DIRECTIONS: In the question below are given few statements followed by few 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 conclusion logically follows from the given statements disregarding commonly known facts.
Statements:
All kings are queens.
Some queens are soldiers.
All soldiers are strong.
Conclusions:
I. Some strong are kings.
II. Some queens are strong.
∴ only conclusion II follows
In the question, select the related digit from the given alternatives.
24: 60:: 120:?
Similarly,
60x5= 300
How many triangles are there in the following figure?
Thus there are 23 triangles.
AEF, AGF,DEF,
AED,AEG,GJF,
GJH,GFH,FGD,
FDH,FJD,JHD,
GHD,GBH,BHC,
GBC,BCD,DCH,
GED,GDC,ADB,
AGD,BGD
In a certain code language 'POULTRY' is written as 'PRQXNVTY'. How is 'TREASON' written in that code?
As
Similarly,
Solve the given letter series
W64X49, M100N81, O144P121,?
DIRECTIONS: The following questions are based on the diagram given below.
The nonAsians who know English are represented by:
Which of the following rivers does not make an estuary?
Which of the following country's government passed the "Hindu Marriage Bill 2016"?
● Hindu Marriage Bill tabled in Pakistan’s National Assembly.
● The bill was approved by the standing committee in 2016.
● The bill is expected to put an end to the practice of abduction of married Hindu women.
● The bill is also expected to curtail forced conversions because it will allow the registration of Hindu marriages in the relevant government departments.
Who among the following has been appointed as parttime chairman of the YES BANK?
Which district of Arunachal Pradesh recently achieved 100% electricity under the Saubhagya Scheme?
Researchers have recently found the world's first fully warmblooded fish. Which of the following is the kind of fish?
The atomic power station which is known for an FBTR (Fast Breeder Test Reactor) is __________?
The following character of mercury makes it suitable to use in barometers unlike the water is_______?
Which of the following organizations were NOT formed outside India to help in the struggle for Indian independence?
Which of the following Franchise has won the Premier Badminton League Season 4?
The Concept of Suspension of Fundamental Rights in the Indian Constitution has been taken from which Country’s Constitution?
What is called the small grasslands on the slopes of the Lesser Himalayan range in Jammu and Kashmir?
Comptroller and Auditor General of India is appointed by ______.
Out of 245 members of Rajya Sabha how many members are elected?
The constitution of India refers to the budget as the ______.
Which of the following is NOT a distinct colour composition of white light?
Isaac Newton, a wellknown scientist, had researched on the sun, light, and colour.
Through his experiments with prisms, he was the first to authoritatively demonstrate that white light is composed of the colours of the spectrum.
Newton's laws of motion and similar related principles come under which of the following branches of Physics?
Mechanics is generally divided into 3 branches: 
Statics, which deals with forces acting on and in a body at rest;
kinematics, which describes the possible motions of a body or system of bodies &
kinetics, which attempts to explain or predict the kind of motion that will occur in a given specific situation
Mechanics is a branch of physics, concerned with the motion of bodies under the action of forces, including when a body remains at rest.
Mechanics is generally divided into 3 branches: 
Statics, which deals with forces acting on and in a body at rest;
kinematics, which describes the possible motions of a body or system of bodies &
kinetics, which attempts to explain or predict the kind of motion that will occur in a given specific situation
Find the energy transferred through the circuit if the current flow through the circuit is 10 A for 5 min and the potential difference is 40 V.
Current I = 10 A, Time t = 5 minutes = 5 x 60 = 300 sec
Charge Q = It
= 10 x 300 = 3000 C
Energy transferred through the circuit W = VQ
= 40 x 3000
= 120,000 J Or 120 kJ
A 125 N box is pushed up an inclined plane which is 12.8 m long. It takes the 80 N force to push it up, which has 6 m height. Find the efficiency.
Output Work = 80 x 6 = 480 J
Efficiency = (Output Work/ Input Work) x 100%
= (480/1600) x 100 = 30%
Which of the following is/are NOT the example(s) of a 'Magnetic material'?
The materials which get attracted to magnets like iron, nickel and cobalt etc. are called "Magnetic materials".
Which of these is/are NOT parts of the human brain?
Fore Brain Cerebrum, Thalamus and Hypothalamus
Mid Brain Corpora Quadrigemina
Hind Brain Cerebellum, Pons, Medulla
Which of the following is an example of 'Dispersion of Light'?
It takes the form of a multicoloured circular arc. Rainbows caused by sunlight always appear in the section of the sky directly opposite the sun.
Which of the following compound contains only Carbon & Hydrogen atoms in their formation?
Teflon It is a polymer with a basic monomer unit as C_{2}F_{4}.
Chloroform CHCl_{3}
Ethanol C_{2}H_{5}OH
Which of the following is NOT a property of Diamond material?
Due to this unique structure, it is the hardest known material occurring naturally.
Since it has no electrons for transfer, it exhibits high electrical resistivity
It has a High Refractive Index, hence it exhibits broad optical transparency
The 23rd pair is the reason for the difference between males and females and are called the sex chromosomes.
37degree Celsius is approximately how much in Fahrenheit scale?
So, 37degree Celsius is approximately 99degree Fahrenheit.
Which of these is not an example of an Acid from the given solutions?
In the above reaction shown, A is a more reactive element than B, hence we have a displacement reaction happening.
Example CuSO_{4} + Zn àZnSO_{4} + Cu
_____________ is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
The scientific equation involved in the calculation of heat variation with respect to temperature change can be denoted by,
Q = cmΔT
Q heat added, c Specific heat, m the mass of the compound, T temperature
When a system undergoes a thermodynamic process in which the pressure remains constant, it is known as__________.
Work at a constant pressure may be calculated using the equation, W = p * Δ V
If the thermodynamic system expands (ΔV is positive), hence the system does positive work and vice versa.
If the thermodynamic system contracts (ΔV is negative), hence the system does negative work and vice versa.
How should a Voltmeter be connected in an electric circuit in order to measure the potential difference between two points.?
The objects in parallel experience the same potential difference.
An Analog voltmeter moves a pointer across a scale in proportion to the circuit's voltage and a digital voltmeter provides a numerical display.
Thyroid gland is situated in which region of the human body?
This gland secretes two hormones into blood which are necessary for all the cells in the human body to work normally.
Which of the following makes use of Mercury in it?
Hence, the slightest change in temperature is notable when it's used in a thermometer.
It also has a high boiling point which makes it very suitable to measure higher temperatures.
Which of the following activity will reduce the chances of rusting in an iron bar?
Putting it in a more humid environment would increase the chances of rusting, So would dipping it in saltwater, but coating it with paint would hide the layer of iron rod getting exposed to air, thus making it less prone to rusting.
Which of the following phenomenon is an example of Total Internal Reflection?
If the light is propagating from denser towards rarer medium and the angle of incidence is more than the critical angle,
then the light incident on the boundary is reflected in the denser medium obeying the laws of reflection.
All the above given options are an example of the phenomenon of Total Internal Reflection.
Which of the following is NOT a solid metallic element?
Sodium is a soft metal but solid in nature while Cobalt and Manganese exist in a solidstate at room temperature.
Beta carotene helps to provide which colours to fruits and vegetable?
Beta carotene is converted into vitamin A, an essential vitamin required by the human body
Which of the following is FALSE regarding the Helium element?
Symbol: He; atomic number: 2 and atomic weight 4,0026 g/mol. Helium is a colourless, odourless, insipid and nontoxic gas.
Its properties include having, low boiling point, low density, low solubility, high thermal conductivity and inertness.
A bond formed by the mutual sharing of one or more electrons from one atom to another is called _________.
In an Ionic bond, there is a complete transfer of one or more electrons from one atom to another. For example, the formation of NaCl.
Which of the following given base is different in DNA and RNA?
RNA is a polymer with a ribose and phosphate backbone and made up of 4 different bases: adenine, guanine, cytosine, and uracil.
The first three bases are the same as those found in DNA, but in RNA thymine gets replaced by uracil as the base.
Which of the following are a part of the Circulatory system in the Human body?
Mammals have double circulation, that is, blood crosses two times from the heart before circulating throughout the body.
4Na + O_{2} ® 2Na_{2}O
In the following reaction which one is Sodium is being ___________while Oxygen is being __________
Sodium (Na) is oxidised as it is losing an electron forming Na^{+} ions, while
Oxygen (O_{2}) is reduced as it is gaining an electron forming O^{2} ions
Which of the following is/are NOT amphibious animal(s)?
Thus, amphibians typically start out as larvae living in water, but some species have developed behavioural adaptations to bypass this.
The young generally undergo metamorphosis from larva with gills to an adult airbreathing form with lungs.
Example Turtles, Frogs etc.
Which of the following is used to cure heartrelated problems in the body?
An internal pacemaker is one in which the electrodes to the heart, the electronic circuitry, and the power supply are all implanted internally, within the body.
____________ of a thermodynamic system is the sum of the internal energy and the product of the pressure and volume.
It is a state function having the dimensions of energy, that is, joules or erg.
Measuring the change in enthalpy helps to know whether a reaction was endothermic or exothermic.
Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 








