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Study the following graph and answer the questions that follow.
No. of candidates admitted in two different Institution(In thousands)
In which year the total number of candidates admitted in both the institutions together was the second lowest?
In 2003 = 3.5 + 4.0 = 7.5
Study the following graph and answer the questions that follow.
No. of candidates admitted in two different Institution(In thousands)
What was the ratio between the number of candidates admitted in institution A in the year 2006 and the total number of candidates admitted in both the institutions together in the year 2004?
A in 2006 = 4
A, B in 2004 = 9
hence required ratio = 4 : 9
Prabhakar deposited Rs. 5,000 in the bank. The bank offered simple interest at a rate of 12 percent per year. After 5 years the total amount received by him will be:
Time = 5 years = T
∴ Amount = P + I = 5000 + 3000 = Rs. 8000
4 x 4 x 4
= 64
Study the following graph and answer the questions that follow.
No. of candidates admitted in two different Institution(In thousands)
The total number of candidates admitted in institution A over all the years together was approximately what percentage of the total number of candidates admitted in institution B over all the years together?
= 27 (in thousand)
Total no. of candidates in institution B =3.5 + 4 + 4 + 5.5 + 5 + 6 = 28 (in thousand)
Required percentage=2700/28
= 96.42≈ 96 %
In the figure, ABCD is a parallelogram with AD = a units, DC = 2a units and DE : EC = 1 : 2. CEFG is a rectangle with FE = 3AE. What is the ratio of the area of a parallelogram and the rectangle?
Area of parallelogram ABCD
= 2(Area of △ADE) + (Area of rectangle AECH)
= 1/2
The ages of Ram and Shyam are in the ratio 2 : 1. After five years, the ratio of their ages will be 3 : 2. Their present ages are:
or 4 x + 10 = 3x + 15
or x = 5
Hence, the present age of Ram = 10 years.
and present age of Shyam  5 years
Study the following graph and answer the questions that follow.
No. of candidates admitted in two different Institution(In thousands)
What was the total number of candidates admitted in institution B over all the years together?
In 2003, the Number of candidates admitted in institution B = 4000
In 2004, the Number of candidates admitted in institution B = 4000
In 2005, the Number of candidates admitted in institution B = 5500
In 2006, the ,’,’Number of candidates admitted in institution B = 5000
In 2007,Number of candidates admitted in institution B = 6000
The total number of candidates admitted in institution B over all the years = 28000
A rectangle ABCD is inscribed in a circle with centre O. If AC is the diagonal and ∠BAC = 30°, then the radius of the circle will be equal to:
Join B and O
Then √BOC = 2 √BAC = 60°
Draw OM ⊥ from O on BC then BM = 1/2 BC
∴ ∠BOM = 30°
From △ BMO
A hollow sphere of external and internal diameters 8 cm and 4 cm respectively, is melted into a cone of base diameter 8 cm, then the height of the cone will be equal to:
Hence, the height of the cone formed is 14 cm.
The value of sin θ + sin (θ + 120°) + sin (θ + 240°) is equal to:
= sinθ + sin (π + θ)
= sinθ  sinθ
= 0
The area of a rhombus is 120 cm^{2}. If one of its diagonals is of length 10 cm, then the length of one of its sides is:
We know that area of a rhombus = 1/2 product of its diagonals
∴ 120 = 1/2 x 10 x 2nd diagonals
or 2nd diagonals = 24 cm
A mixture of 70 litres contains milk and water in a ratio of 3 :4. How many litres of milk must be added to the mixture so as to make the ratio 5 : 4?
Milk : Water
New ratio 5 : 4
Old ratio 3 : 4
Difference 2 : 0
Sum of old ratios = 3 + 4 = 7
∴ Milk added = (2/7)×70 = 20 litres
A man rowed a boat to a place covering 72 km distance and back in 15 hours. He finds that he can row 3 km with the stream in the same time as 2 km against the stream. Find the speed of the stream.
∴ Time taken to row downstream : Time taken to row upstream = 2 : 3
But, total time taken = 15 hours
∴ Time taken to row downstream = 2/5 x 15 hours = 6 hours
And time taken to row upstream = 15  6 = 9 hours.
∴ Speed downstream = 72/6 = 12 km/h
And speed upstream = 72/9 = 8 km/h
∴ Speed of the stream = (128)/2 km/h
In an examination A gets 10% marks less than B and B gets 25% marks more than C and C gets 20% marks less than D. If A gets 270 marks in 500 then D get
A : B = 9 : 10
B : C = 5 : 4
C : D = 4 : 5
A : B : C : D = 9 : 10 : 8 : 10
9 = 270
10 = 300
% = 300/500 x 100= 60%
If from the top of a lighthouse 100 metre high the angle of depression of a boat is tan^{1}(5/12) then the distance (in metre) between the boat and the lighthouse is equal to:
and the angle of depression of the boat is tan^{1} 5/12
X = 240
∴ The distance between the boat and the lighthouse is 240 m.
The perimeter of a rhombus is 40 cm and the measure of an angle is 60^{o}, then the area of it is?
The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is?
∴ second number = 3x
First number = 6x
∴
⇒ 10x = 120 ⇒ x = 12
∴ required difference
= 6x  x = 5x = 5 x 12 = 60
ABCD is a trapezium in which AB is parallel to DC. If the diagonals intersect at O, then which one of the following is correct?
Consider Triangle OAB and Triangle OCD
∠DOC = ∠BOA
∠OCD = ∠OAB
∠ODC = ∠OBA
∴ ΔOAB and Δocd are similar
In a right angled triangle, one acute angle is double the other. If the length of the smallest side is a. The length of the hypotenuse is:
Clearly
x^{o} + 2x^{o} = 90^{o}
ie., x^{o} = 30^{o}
Study the following graph and answer the questions that follow.
No. of candidates admitted in two different Institution(In thousands)
What was the difference between the total number of candidates admitted in institution A in the year 2004 and 2007 together and the total number of candidates admitted in institution B in the year 2003 and 2007 together?
= 5 + 6.5 = 11.5
B in 2003 and 2007
4 + 6 = 10.0
Difference = 1500
∠AOC + ∠BOC 180°
⇒ 5y + 10 + 2x = 180°
⇒ 5y + 10 + (2 x 20) = 180°
⇒ 5y = 180°  10  40 = 130°
⇒ y = 26°
Find the value of (x^{3}+y^{3}+z^{3}  3xyz), if x + y + z = 9 and xy + yz + zx = 26:
∴ (x + y + z)^{2} = 92 = 81
∴ x^{2} + y^{2} + z^{2} + 2 × 26 = 81
∴ x^{2} + y^{2} + z^{2} = 81  52 = 29
Now, x^{3} + y^{3} + z^{3}  3xyz
= (x + y + z) [(x^{2} + y^{2} + z^{2})]  (xy + yz + xz)]
= 9 × (29  26) = 27
we know that, any number multiplied by 0 always gives 0.
∴ 0 is the answer.
A carriage driving in a fog passed a man who was walking at the rate of 3 km an hour in the same direction. He could see the carriage for 4 minutes and it was visible to him upto a distance of 100 m. What was the speed of the carriage?
∴ distance travelled by the carriage in 4 min = (200 + 100) = 300 meters
∴ speed of the carriage = (300/4)×(60/1000) km/hour
= 9/2 km/hour
Two partners invested Rs. 50,000 and Rs. 70,000 respectively in a business and agreed that 70% of profit should be divided equally between them and the remaining profit in the ratio of investment. If one partner gets Rs. 90 more than the other then the total profit made in the business is:
∴ Total Profit = Rs. 1800
The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:
53x = 1325
x = 1325/53 = 25
∴ Amount collected from second Class = 50x
25 x 50 = Rs. 1250
If the angles of a pentagon are in the ratio 1 : 3 : 6 : 7 : 10, then the smallest angle is:
x°, 3x°, 6x°, 7x°, 10x°
But x° + 3x° + 6x° + 7x° + 10x° = (2x5 4) x 90°
or 27x° = 6 x 90°
or x = 20°
A man's age is 125% of what it was 10 years ago, but 83 1/3 % of what it will be after ten 10 years. What is his present age?
man age = x years
10 years ago :
Man age = ( x  10 ) years
10 years after :
Man age = ( x + 10 ) years
According to the problem given ,
125% of (x  10) = 83⅓% of (x + 10)
(125/100) (x  10) = (250/300)(x+10)
(5/4) x  10) = (5/6)(x + 10)
(x  10)/4 = (x + 10)/6
6(x  10) = 4(x + 10)
6x  60 = 4x + 40
6x  4x = 40 + 60
2x = 100
x = 100/2
x = 50
Therefore ,
Present age of the man = x = 50yrs
What should come at the place of the question mark?
KM5, IP8, GS11, EV14, ?
In the given sequence how many such symbols and numbers are there which are either immediately preceded or immediately followed by the letters which are from the first half of the English alphabet?
2 L K @ 8 $ P B 1 V # 6 % G W 9 J C D 4 © 7 F R 4 A
2L, K@, B1, %G, 9J, D4, 7F, 4A
The question given below consists of five figures marked 1,2,3,4, and 5 named as the problem figures and is followed by five answer figures marked (a), (b), (c), and (d). Select a figure from the answer figures which will continue the series as established by the five problem figures.
Problem Figure:
Answer Figure:
A husband and a wife had five married sons and each of them had four children. How many members are there in the family?
Wife ⇒ One
Five married sons
⇒ 5 × 2 = 10
Number of children
⇒ 5 × 4 = 20
Total number of members
= 1 + 1 + 10 + 20 = 32
Find the odd one out from the given alternatives.
In the given question, the letter sequence is formed by skipping 3 letters in the forward direction. Identify from the following alternatives which one of them cannot be formed using the above principle.
So, here in option (c), three letters are skipped.
If ‘white’ is called ‘rain’, ‘rain’ is called ‘green’, ‘green’ is called blue’, ‘blue,’ is called ‘cloud,’ ‘cloud’ is called ‘red,’ ‘red’ is called ‘sky,’ ‘sky’ is called ‘yellow’ and ‘yellow’ is called’ ‘black,’ what is the colour of ‘blood’?
Select the related letter/word/number from the given alternatives.
If P means ‘division,’ T means ‘addition,’ M means ‘subtraction’, and D means ‘multiplication,’ then what will be the value of the expression 12 M 12 D 28 P 7 T 15?
Using the symbols correctly as given in the above question, the above expression becomes
12 – 12 × 28 ÷ 7 + 15
Using BODMAS RULE, we get
12  12 × 4 + 15 = 12 – 48 + 15 = 27 – 48 = 21
Which one of the following figures represents the relationship among Shirts, Bed sheets and Towels?
Arrange the following words according to the English dictionary.
(a) Fraudulent (b) Fraught (c) Fraternity (d) Franchise (e) Frantic
(d) Franchise (e) Frantic (c) Fraternity (a) Fraudulent (b) Fraught
Mohan is the son of Arun’s father’s sister. Prakash is the son of Reva, who is the mother of Vikas and grandmother of Arun. Pranab is the father of Neela and the grandfather of Mohan. Reva is the wife of Pranab. How is the wife related to Neela?
Thus the wife of either Vikas or Prakash is sisterinlaw of Neela.
Which of the following diagrams shows the best relation between Patiala, Bhagalpur, Bihar, and India?
Vishal walks 2 kms towards the South. He then turns right and walks 3 kms, he now turns left and walks 5 kms. Further, he moves 2 kms after turning to the left. In which direction is he facing?
He is facing east.
Arrange the following in a logical order.
1. Puberty
2. Adulthood
3. Childhood
4. Infancy
5. Senescence
6. Adolescence
Find the odd one out from the given alternatives.
A man pointing to a photograph says, The lady in the photograph is my nephew’s maternal grandmother and her son is my sister’s brotherinlaw. How is the lady in the photograph related to his sister who has no other sister?
In the question below, there are few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.
Statements:
Some bulbs are canes.
Some canes are books.
All books are lanterns.
Conclusions:
I. Some lanterns are canes.
II. Some lanterns are bulbs.
If only Conclusion I follow.
In the questions given below, some relationships have been expressed through symbols as shown below. Based on the meaning of these symbols and choose the correct answer.
ϕ means ‘less than’
Δ means ‘not greater than’
 means ‘equal to’
+ means ‘not equal to’
× means ‘not less than’
= means ‘greater than’
X  Y + Z implies
X  Y + Z ⇒ X = Y ≠ Z
Using the proper notations/symbols in option (c), we get
X  Y ϕ Z ⇒ X = Y < Z ⇒ X = Y ≠ Z
Therefore, X  Y + Z ⇒ X  Y ϕ Z.
In a certain code ‘SENSITIVE’ is written as ‘QHLVGWGYC’. How is ‘MICROSOFT’ written in that code?
If ‘+‘ means ‘÷’, ‘‘means ‘+’, ‘x’ means ‘– ’ and ‘÷’ means ‘×’, what will be the value of the following expression?
Using the symbols correctly as given in the above question, the above expression becomes
[{(17  12) + (4 × 2)} ÷ (23 + 6)] x 0 = 0
There are 7 squares 
ABCD, EFGH, IJKL, EIMJ, IHLM, JMKF, MLGK.
Which figure from the given options can replace the question mark?
Question Figure:
Answer Figure:
Which one of the following responses would be a meaningful order of the following?
1. Adolescence
2. Prenatal
3. Adulthood
4. Infancy
Read the following information carefully and answer the questions given below.
A word is represented by only one set of numbers as given in any one of the alternatives. The set of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices given below. The columns and rows of Matrix I are numbered 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., ‘N’ can be represented by 03, 21, etc. ‘O’ can be represented by 65, 96 etc. Similarly, you have to identify the correct set for the word given in each question.
Who replaced Hasmukh Adhia as the new Revenue Secretary in the Finance Ministry recently?
Pandey would continue to head the Unique Identification Authority of India (UIDAI) as its CEO, where he had a remarkable stint of over eight years playing a key role in establishing and steering Aadhaar across the country.
Daranghati Wildlife Sanctuary is situated in which Indian state?
"HandinHand" is an annual military exercise that takes place between _________ & _________.
The aim of the exercise is to build and promote close relations between armies of both the countries and to enhance the ability of joint exercise commanders to take military contingents of both nations under command.
The exercise will involve tactical level operations in an International Counter Insurgency/ Counter Terrorist environment under UN mandate.
What is the capital of Vietnam, one of the members of ASEAN?
Bonn Convention is associated with which of the following?
Founded: 1 November 1983
Membership: 127 Parties
Headquarters: Bonn, Germany
To connect with Direct Benefit Transfer (DBT), an online portal __________ was recently launched by Ministry of Agriculture & Farmers Welfare
Under the Mission's component called Entrepreneurship Development and Employment Generation (EDEG), subsidy payment for activities related to poultry, small ruminants, pigs etc. through Direct Benefit Transfer (DBT) goes directly to the beneficiary's account.
"Hornbill Festival" is an annual celebration that takes place in which of the following Indian States?
It showcases a mélange of cultural displays under one roof.
All the tribes of Nagaland take part in this festival. The aim of the festival is to revive and protect the rich culture of Nagaland and display its extravaganza and traditions.
Prime Minister Narendra Modi inaugurated India's first multimodal terminal on the Ganga river in _______ & received the country's first container cargo transported on inland waterways from Kolkata.
It is the first of three multimodal terminals on the river under the Jal Marg Vikas Project (JMVP).
It is being implemented by the Inland Waterways Authority of India (IWAI).
Recently, President Ram Nath Kovind launched the "One District, One Product" Summit in which Indian state?
'One District One Product' scheme will enhance the skills of local people as well as increase the reach to products. And it will result in economic progress of artisans of Uttar Pradesh.
"Adopt a Heritage" initiative is a collaborative effort between which of the following?
It aims to involve public sector companies, private sector companies, and corporate citizens/individuals to take up the responsibility for making our heritage and tourism more sustainable through the development, operation, and maintenance of worldclass tourist infrastructure and amenities at ASI/ State heritage sites and other important tourist sites in India.
In the history of the Indian Freedom Struggle, Round Table conferences play a vital role. The __________Round Table Conference convened from 12 November 1930 to 19 January 1931.
Where did PM Modi recently inaugurated National Rail and Transport University, India's first Railway University?
The institute will provide human resources training and build the capability of Indian Railways by offering 2 courses currently BBA Transportation Management and BSc Transportation Technology in order to give education on latest technology applications like Radio frequency Identification, Artificial Intelligence and satellitebased tracking.
Recently, 10 News organisations out of 87 were selected from India for__________, for enhancing digital journalism capabilities.
Google News Initiative will build efforts and deepen Google's commitment to a news industry facing dramatic shifts in how journalism is created, consumed, and paid for.
It's focused on three objectives: elevate and strengthen quality journalism, evolve business models to drive sustainable growth; and empower news organisations through technological innovation.
Recently Shri Ananth Kumar passed away. He was holding which portfolio in the Union government?
Ananth Kumar began his parliamentary career when he was elected to the Lok Sabha in 1996 from Bangalore South, the constituency which remained his strong fort till his passing away, by winning it for six consecutive times.
Ramon Magsaysay Award is presented to winners in a formal ceremony, which takes place in___________ every year.
The trustees of the Ramon Magsaysay Award Foundation annually select the awardees. Awardees are presented with a certificate and a medallion with an embossed image of Ramon Magsaysay facing right in profile.
The Award is presented to them in formal ceremonies in Manila, Philippines on August 31st, the birth anniversary of the muchesteemed Philippine President whose ideas inspired the Award's creation in 1957.
Deuterium oxide:
Heavy water (deuterium oxide) is a form of water that contains a larger than normal amount of the hydrogen isotope deuterium, rather than the common hydrogen1 isotope that makes up most of the hydrogen in normal water.
Which of the following is used as a moderator in nuclear reactors?
Which among the following is a source of Atomic Energy?
When a bottle of perfume is opened in one corner of a room the smell spreads throughout the room. This is an example of _______.
The metallic constituents of hard water are _____
The two main cations that cause water hardness are calcium (Ca2+) and magnesium (Mg2+). Although strontium, aluminum, barium, iron, manganese, and zinc also cause hardness in water, they are not usually present in large enough concentrations to contribute significantly to total hardness.
The molecular weight of a substance can be calculated by measuring—
Of the following metals, which one pollutes the air of a big citythe the
Lead: Lead is a neurotoxin that accumulates both in soft tissues and the bones, damaging the nervous system and causing brain disorders. Excessive lead also causes blood disorders in mammals.
Bauxite: The Bayer process is the principal industrial means of refining bauxite to produce alumina (aluminium oxide). Bauxite, the most important ore of aluminium, contains only 30–60% aluminium oxide, (alumina), Al2O3, the rest being a mixture of silica, various iron oxides, and titanium dioxide.
Tungsten: Pure tungsten has some amazing properties including the highest melting point (3695 K), lowest vapor pressure, and greatest tensile strength out of all the metals. Because of these properties it is the most commonly used material for light bulb filaments.
In which of the following the hydration energy is higher than the lattice energy ?
Austenite steels make up over 70% of total stainless steel production. They contain a maximum of 0.15%carbon, a minimum of 16% chromium, and sufficient nickel and/or manganese to retain an austenitic structure at all temperatures from the cryogenic region to the melting point of the alloy.
In case of hinged support the reaction acts in a direction perpendicular to the plane on which hinge is supported.
Dr. C.V. Raman was awarded the Nobel Prize for his work connected with the following phenomenon of Radiation?
National Wildlife (Protection) Act was formulated during
A snip is used to cut metals with a thickness of:
At high altitudes the boiling point of water reduces because 
Which of the following food items is rich in iron?
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