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Hence, the total number of triangles is 15.
In the following question, select the related number pair from the given alternatives.
13 : 17 :: ? : ?
The pattern followed here is,
Consecutive prime numbers are given,
13 and 17
Similarly,
19 and 23
Hence, 23 is the correct answer.
In the following question, select the related word from the given alternatives.
Cricket : Ball :: Badminton : ?
The game cricket is played with bat and ball.
Similarly, badminton is played with racket and shuttle cock.
Hence Badminton is related to Shuttle.
Three years ago, the average age of A and B was 8 years, With C joining them now, the average becomes 15 years. How old is C now?
Let the age of A be “x” years, B be ‘y’ years and C be “z” years.
Three years ago,
Age of A = x – 3 years
Age of B = y – 3 years
Average of age of A and B = (A + B)/2 = 8 years
⇒ (x + y -6)/2 = 8
⇒ x + y – 6 = 16
⇒ x + y = 22
Now average of A,B and C = 15 years
⇒ (A + B + C)/3 = 15
⇒ x + y + z = 45
⇒ 22 + z = 45
⇒ z = 23 years
Direction: Study the following information carefully and answer the questions given below:
Following are the conditions for selecting a Librarian in a well-known Institute:
The candidate must–
i) Be at least 30 years and not more than 40 years old as on 31.01.2018.
ii) Have completed a Bachelor Degree in Library & Information Science (BLIS) with at least 60% aggregate marks. Any Diploma or Certificate holders will not be considered.
iii) Have completed Masters in Library & Information Science (MLIS) with at least 55% marks. Any Diploma or Certificate holders will not be considered
iv) Have post qualification work experience of at least 4years as Librarian in any educational organization.
In the case of a candidate who fulfills all the conditions except:
a) At i) above, but if the candidate is not more than 55 years & has a work experience of 15 years & above as Librarian, his / her case is to be referred to Librarian Head.
b) At ii) above, but if the candidate has secured at least 55% in BLIS and at least 60% in MLIS, his / her case is to be referred to Deputy Librarian.
All these cases are given to you as on 31.01.2018
Now read the information provided in each question and mark your answer accordingly.
Q. Rahul Kumar has been working in a School as a Librarian for the past 5 years. He has completed his PG in Library& Information Science& secured 61%in BLIS.
Since the data about the age is not given.
The correct answer is Data inadequate.
What will be the average of all the prime numbers before 19?
Prime numbers before 19 = 17, 13, 11, 7, 5, 3, 2
We know, Average = sum of all the number/total number
∴ Average = (17 + 13 + 11 + 7 + 5 + 3 + 2)/7 = 58/7 = 8.28
5 men can do a piece of work in 12 days and 10 women can do the same work in 15 days. 5 men and 10 women undertook the same work for Rs. 36,000. They finished the work in 5 days with the help of 15 children. What is the share of 5 children?
Time taken by 5 men to do a piece of work = 12 days
∴ Work done by 5 men in 1 day = 1/12
Time taken by 10 women to do the same work = 15 days
∴ Work done by 10 women in 1 day = 1/15
With the help of 15 children they finished the work = 5 days
∴ Work done by (5 men + 10 women + 15 children) in 1 day = 1/5
So, work by 15 children in 1 day = 1/5 - 1/12 - 1/15 = 1/20
Time taken by 15 children to do the same work = 20 days
The ratio of their time = 12 : 15 : 20
We know, the efficiency is inversely proportional to the time
So, ratio of their efficiency = 1/12 : 1/15 : 1/20 = 5 : 4 : 3
So, 5 + 4 + 3 = 12 unit = 36,000
⇒ 1 unit = 3,000
⇒ 3 unit = 9,000
∴ Share of 15 children is 9,000
So, share of 1 child = 9,000/15 = 600
So, share of 5 children = 600 × 5 = 3,000
The order of the increasing wavelength of the following colors will be ________
1. Orange
2. Indigo
3. Yellow
4. Violet
The order of the increasing wavelength of the colors is:
The visible light or visible spectrum is divided into these colors.
In the following question, select the odd letter pair from the given alternatives.
In all pairs except ‘LMNO – LMON’ 1st & 2nd and 3rd & 4th alphabets are interchanged while in ‘LMNO – LMON’ 1st & 2nd alphabets are not interchanged.
Hence, ‘LMNO – LMON’ is an odd letter pair.
Mycology is the branch of biology concerned with the study of fungi, including their genetic and biochemical properties, their taxonomy and their use to humans as a source for tinder, medicine, wine, cheese, (edible mushrooms), and entheogens, as well as their dangers, such as poisoning or infection.
What is used to prevent freezing of fuel in space crafts?
In space craft freezing of fuel is prevented by the Usage of Glycol. It is an additive which lowers the freezing point of a water-based liquid and increases its boiling point. Thus ensuring performance of the engine or the space craft in situation of extreme temperature shifts.
Chandragupta Maurya died in which among the following places?
Concept:
cos(90−θ)=sinθ
sin(90−θ)=cosθ
Tear gas also known as lachrymator agent is a chemical compound that is mostly used as a weapon as it causes severe eye, respiratory and skin irritation.
Chloropicrin is a constituent of tear gas and is responsible for causing irritation.
In the following figure, rectangle represents Animators, circle represents Dancers, triangle represents Potters and square represents Mothers. Which set of letters represents Potters who are not Mothers?
Rectangle represents Animators,
Circle represents Dancers,
Triangle represents Potters,
Square represents Mothers
Thus the letters inside the triangle but not in the intersection of square and triangle represent Potters who are not Mothers i.e. IH.
Hence, the correct answer is IH.
M is the largest three-digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?
Lcm of (6, 5) = 30
Let’s assume the number be "30K + constant", where Constant is the remainder.
let that number be ‘M’
⇒ M/6 = 5 (remainder)
M could be 5, 11, 17, 23, 29, ...
⇒ M/5 = 3 (remainder)
M could be 3, 8, 13, 18, 23, 28, ...
The very first number common in both term is 23.
⇒ M is 23 i.e. a constant term
⇒ 30K + constant = 30K + 23
The largest three digit number comes when K is 32
⇒ 30 (32) + 23 = 983
∴ When 983 is divided by 11, leaves the remainder 4.
Harike Wetland is a manmade lake and wetland formed by the headworks built in 1953 on the confluence of the Beas and the Sutlej rivers. The wetland is characterized by the Harike freshwater lake and is a home to over 200 species of birds along with a rich marine flora and fauna.
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.
Consider the horizontal relations,
In row 1, (7 × 5) – 2 = 35 – 2 = 33
In row 2, (8 × 6) – 2 = 48 – 2 = 46,
In row 3, (6 × 6) – 2 = 36 – 2 = 34,
Similarly in row 4, (8 × 7) – 2 = 56 – 2 = 54
Hence, 54 is the correct alternative.
sec2θ + tan2θ =53=53
[1 + tan2θ = sec2θ]
1 + tan2θ + tan2θ =53=53
2 tan2θ = 5/3−1
tanθ =1/√3
∴ θ = 30°
A dishonest shopkeeper uses a weight of 850 gm instead of 1 kg and sells rice on its cost price. What will be his profit percentage on selling 5 kg rice?
Original weight of rice = 1 kg = 1000 gm
Let cost of 1 gm is Rs. 1
Cost price of 1000 gm = Rs. 1000
Selling price of 850 gm = Rs. 1000 (∵ giving only 850 gm instead of 1000 gm)
Profit = [error/ (true weight)] × 100
⇒ Profit = [(1000 - 850)/ 850] × 100 = (150/850) × 100 = 17.65%
∴ profit % on 5kg is equal to profit on 1 kg which is 17.65%
Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis.
If 95 + 65 + 23 = 81; 56 + 23 + 62 = 48 then 56 + 26 + 32 = ?
The pattern followed is:
95 + 65 + 23 = 81
9 × 5 + 6 × 5 + 2 × 3 → 45 + 30 + 6 = 81
Similarly;
56 + 23 + 62 = 48
5 × 6 + 2 × 3 + 6 × 2 → 30 + 6 + 12 = 48
Similarly;
56 + 26 + 32 = ?
5 × 6 + 2 × 6 + 3 × 2 → 30 + 12 + 6 = 48
Hence, 48 is the correct answer.
The product of HCF and LCM of two numbers is 2535. The smaller number is 60% of the larger number. Find the difference of between the numbers.
Let the first number be 5a.
So, the second number = 60% of 5a = 3/5 × 5a = 3a
HCF × LCM = 1st no. × 2nd no.
⇒ 2535 = 5a × 3a
⇒ 2535 = 15a2
⇒ a2 = 169
⇒ a = 13
∴ Difference between the numbers = 5a - 3a = 2a = 2 × 13 = 26
By which process water comes out of leaves in the form of vapor?
The Protozoa which is responsible for dysentery is ______
Linux is an operating system, not a programming language. It is a free & open-source operating system.
Arrange the functions In their ascending order of magnitude.
Converting fractions to decimals,
⇒ 3/4 = 0.75
⇒ 5/12 = 0.4167
⇒ 13/16 = 0.8125
⇒ 16/29 = 0.5517
⇒ 3/8 = 0.375
∵ 0.375 < 0.4167 < 0.5517 < 0.75 < 0.8125
∴ 3/8 < 5/12 < 16/29 < 3/4 < 13/16
If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?
Hence, option 3) is the correct mirror image of the question figure.
Each of the following question and two statements numbered I and II given below it. You have to decide whether the data give in the statements are sufficient to answer the question. Read both the statements and choose the most appropriate answer.
How is Azad related to Shifa?
I) Shifa is the daughter of Taimur.
II) Azad is the child of Amreen, who is the wife of Taimur.
I) Shifa is the daughter of Taimur.
We can’t determine relation between Shifa with Azad as Azad is not mentioned here.
II) Azad is the child of Amreen, who is the wife of Taimur.
We can’t determine relation between Shifa with Azad as Shifa is not mentioned here.
But, when combined together, we get
As the gender of Azad is not determined, we cannot say whether he is the sister or brother of Shifa.
Hence, the data even in the both statements I and II together are not sufficient to answer the question.
The GST on Haj has been reduced from 18 percent to ________ percent in January 2019.
French established their first factory at Surat and second factory at ________.
• Under the command of Francois Curan, the French East India Company established the first French factory in India at Surat in 1668.
• The second factory was established by Marcara in 1669 at Masulipatnam
P can do a piece of work in 20 days and Q can do the same piece of work in 60 days. They start working together and work for 5 days and then both leave the work. R alone finishes the remaining work in 10 days. In how many days will R alone finish the whole work?
Work done by P in 1 day = 1/20
Work done by Q in 1 day = 1/60
Work done P and Q in 1 day = 1/20 + 1/60 = 1/15
Work done by P and Q in 5 days = 5 ⨯ 1/15 = 1/3
∴ P and Q finished 1/3rd of the work in 5 days.
R finished 2/3rd of the work in 10 days
2/3 work = 10 days
1 work = 10 × (3/2) = 15 days
∴ R will finish the whole work in 15 days.
In the following question, four groups of three numbers are given. In each group, the second and third number is related to the first number by a Logic/Rule/Relation. Three are similar on the basis of the same Logic/Rule/Relation. Select the odd one out from the given alternatives.
The patter followed is,
1) (2, 3, 4): 2 + 1 = 3; 3 + 1 = 4;
2) (4, 5, 6): 4 + 1 = 5; 5 + 1 = 6;
3) (6, 7, 8): 6 + 1 = 7; 7 + 1 = 8;
4) (4, 6, 8): 4 + 2 = 6; 6 + 2 = 8
Hence, (4, 6, 8) is the correct answer.
Direction: Arrange the given words in reverse order in which they occur in the dictionary and choose the one that comes third after arranging in reverse order.
Grieve, Graze, Grass, Grief
On arranging in reverse word as per dictionary order,
i) Grieve
ii) Grief
iii) Graze
iv) Grass
Hence, “Graze” comes third after arranging in reverse word as per dictionary order.
The sharp pain caused by the sting of an ant is due to ________.
A man sells an article at 10% above its cost price. If he had bought it at 10% less than what he paid for it and sold it at Rs 11 less, he would have gained 10%. The cost price of the article is∶
Let the cost price of the article be 100 unit
So, SP of the article = 100 × 110/100 = 110 unit
If he had bought it at 10% less, then new CP of the article = 100 × 90/100 = 90 unit
If he had paid for the article Rs. 11 less, he would have gained 10%
According to the question
⇒ (90 × 110/100) unit = 110 unit – 11
⇒ (110 – 99) unit = 11
⇒ 11 unit = 11
⇒ 100 unit = 100
∴ Cost price of the article Rs. 100
Directions: The question consists of two statements, an assertion (A) and a reason (R). Read both the statements and decide which of the following answer choices correctly depicts the relationship between these two statements.
A: Marie Curie is the only woman to have won the Nobel Prize in Physics and Chemistry.
R: Her contribution to the world of Physics and Chemistry was incredible.
The correct answer is option 1. Both A and R are true and R is the correct explanation for A.
Marie Curie won two Nobel prizes. One for chemistry and the other for physics. One doesn't win Nobel prize easily. Her contribution was remarkable which is why she won.
If '98' is coded as 'IH', '35' is coded as 'CE', then how will '165' is coded?
Alphabets are coded as per their place value
98 → IH
35 → CE
Similarly,
165 → AFE
Hence, '165' is coded as 'AFE'
Newton’s second law of motion gives us the magnitude of ________.
If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 1,800, and Rs 1,926 respectively, what is the rate of interest?
Let the principal be P
⇒ P(1 + r/100)2 = 1800
⇒ 1 + r/100 = √(1800/P) ----(i)
Also, P(1 + r/100)3 = 1926
⇒ 1 + r/100 = (1926/P)1/3 ----(ii)
⇒ √(1800/P) = (1926/P)1/3
⇒ P = 1572
Putting the value of P in (i), we get
⇒ 1 + r/100 = √(1800/1572)
⇒ 1 + r/100 = 1.07
⇒ r/100 = 0.07
∴ r = 7%
In organic chemistry, an alkene is an unsaturated hydrocarbon that contains at least one carbon-carbon double bond. The words alkene and olefin are often used interchangeably.
The formula of Alkane - CnH(2n+2)
The formula of Alkene - CnH(2n)
The formula of Alkyne - CnH(2n-2)
Three numbers form an increasing GP. If the middle number is doubled, then the new numbers are in AP. The common ratio of the GP is
Let the three numbers be a/r, a, ar. As the numbers form an increasing GP. So, r > 1. It is given that a/r, 2a, ar are in A.P.
From the arithmetic mean concept
In a row of persons, the position of C from the right side of the row is 12th and position of D from the left side of the row is 18th. If G is sitting just in the middle of C and D. Find the position of G from the left side of the row.
Since, the total no. of persons or the position of G from any of the sides is not given, the answer to the question cannot be determined.
Hence, answer is ‘Cannot be determined’.
A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.
Statement:
Books without knowledge of life are useless.
Inferences:
I. All books contain the knowledge of life.
II. People should try to gain the knowledge of life.
The statement asserts that books should contain the knowledge of life. It cannot be inferred whether it is true for all books. Thus inference I does not follow. Inference II also does not follow because the statement does not relate to people in any way.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series
A5H, F15J, K25L, P35N, ?
Given Series: A5H, F15J, K25L, P35N, ?
Logic Followed here is,
⇒ A + 5 = F; F + 5 = K; K + 5 = P; P + 5 = U
⇒ 5; 5 + 10 = 15; 15 + 10 = 25; 25 + 10 = 35; 35 + 10 = 45
⇒ H + 2 = J; J + 2 = L; L + 2 = N; N + 2 = P
Hence, U45P will be the next term.
A and B together have six times the sum what B and C together have, while A, B, and C together have Rs. 30 more than the sum that A has. If B has four times the sum than that of C, the sum A has, is approximate –
Given,
A and B together have six times the sum what B and C together have
∴ A + B = 6(B + C)…..(1)
A, B and C together have Rs. 30 more than the sum that A has
∴ A + B + C = A + 30
⇒ B + C = 30…..(2)
B has four times the sum than that of C.
∴ B = 4C…..(3)
Using (2) and (3)
4C + C = 30
⇒ 5C = 30
⇒ C = Rs. 6
Putting this in (2)
B + 6 = 30
⇒ B = Rs. 24
Putting value of B and C in (1)
A + 24 = 6(24 + 6)
⇒ A = 180 – 24 = Rs. 156
The oil used in the flotation method for the purification of ores is ________.
Which of the following potassium compounds is known as 'Pearl ash'?
Find the ratio of third proportional to 12 and 30 and fourth proportional to 11, 15 and 33.
We know that,
Third proportional to a and b = b2/a
∴ Third proportional to 12 and 30 = (30)2/12 = 900/12 = 75
We also know that,
Fourth proportional to a, b, c is given by = (b × c)/a
∴ Fourth proportional to 11, 15, 33 = (33 × 15)/11 = 45
∴ Ratio of Third proportional to 12 and 30 and Fourth proportional to 11, 15 and 33 = 75 : 45 = 5 : 3
Find the wrong term in the following series.
4, 9, 25, 49, 64, 169, 289, 361
The pattern followed here is,
All the given numbers are squares of the consecutive prime numbers,
For e.g.
4 = 22; 9 = 32; 25 = 52; 49 = 72…. so on.
But 64 = 82, and 8 is not a prime number.
Hence, 64 is the odd one out.
If P means ‘+‘, Q means ‘ב, R means ‘÷’ and S means ‘-‘, then the value of 22P 4 P 9 S(6P7S8R4) Q3P1S2 is
Given: 22 P 4 P 9 S (6 P 7 S 8 R 4) Q 3 P 1 S 2
Substituting the symbols:
22 + 4 + 9 - (6 + 7 - 8 ÷ 4) × 3 + 1 - 2
Solution through BODMAS:
22 + 4 + 9 - (6 + 7 - 8 ÷ 4) × 3 + 1 - 2
22 + 4 + 9 - (6 + 7 - 2) × 3 + 1 - 2
22 + 4 + 9 - 11 × 3 + 1 - 2
22 + 4 + 9 - 33 + 1 - 2
22 + 4 + 9 + 1 - 33 - 2
36 - 35 = 1
Hence, the correct answer is 1
The Kyoto Protocol is an international treaty which extends the 1992 United Nations Framework Convention on Climate Change (UNFCCC) that commits State Parties to reduce greenhouse gas emissions.
On what principle, the difference between compound and simple interest shall come out to be Rs. 366, if the money is kept for 3 years at 5%?
Let the principal = Rs. 100
Now, S.I. on Rs. 100 = PTR/100
Thus, S.I. on Rs. 100 = Rs. 15
⇒ C.I. on Rs. 100 = Rs. 15.7625
Now, the difference of C.I. and S.I. = 15.7625 – 15 = 0.7625
⇒ For Rs. 100 the difference in C.I. and S.I. is Rs. 0.7625
⇒ For Rs. X the difference in C.I. and S.I. is Rs. 366
∴ On Rs. 48000, the difference of compound and simple interest, shall come out to be Rs. 366
Xylem is one of the two types of transport tissue in vascular plants, phloem being the other. The basic function of xylem is to transport water from roots to shoots and leaves, but it also transports some nutrients.
A number is increased by 18%. To obtain the old number, by how much percentage should it be decreased?
Given,
A number is increased by 18%
Let number be n.
New number =
= n + n × (18/100)
= 59n/50
To obtain old number,
Let percentage number should be decreased to obtain new number be a.
n = 59n/50 - (59n/50) × (a/100)
n = (5900n - 59na)/5000
5000n = 5900n - 59na
59na = 900n
a = 900n/59n
a = 15.25
By 15.25% new number should be decreased to obtain new number.
Direction: The question given below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer:
In a row, there are 5 poles - P, Q, R, S, and T, which pole is at the penultimate position?
Statements:
I. Poles S and Q are at the two extreme ends of the row respectively from left to right.
II. Pole T is to the right of building R.
From I, we get the order: S, - , - , - , Q.
From II, we get the order: R, T
Combining I and II, we get two possible orders:
S, R, T, P, Q or S, P, R, T, Q.
Thus, either P or T is at the penultimate position.
A train passes an electrical pole in 30 seconds and passes a platform 240 m long in 2 Minutes. Find the length of the train:
Let the length of the train be D metres and speed of the train be S m/s
Now As per the basic formula of speed,
S = D/T
Where S = Speed, D = Distance, T = Time
As the train passes an electric pole in 30 seconds
S = D/30 ........eq(i)
As train passes a platform 240 m long in 120 seconds
S = (D + 240)/120 .....eq(ii)
from eq(i) and (ii) we get
D/30 = (D + 240)/120
∴ 4D = D + 240
∴ 3D = 240
∴ D = 80 m
A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.
Statement:
City Y made it compulsory for the students to wear uniforms in colleges.
Inferences:
I. The city wants its college students more disciplined.
II. The city believes uniforms will bring in more discipline.
Uniforms were made to maintain equality and motivate discipline. Therefore City Y imposing this rule shows that they believe that uniforms will instill discipline and that their students need more discipline. Consequently, option 3 is the correct answer.
________ has won the award for the Best Supporting Actor at the Golden Globe Awards for 2019.
The question consists of two statements, an assertion, and a reason. The student must first determine whether each statement is true. Each question below consists of an assertion and a reason.
Assertion (A): Mahatma Gandhi is the Father of the Nation (India).
Reason (R): Gandhi’s picture is printed on the Indian currency notes.
It is true that Mahatma Gandhi is the Father of the Nation of India and hence, A is true. It is also true that Gandhi’s picture is printed on the Indian currency notes, so R is also true. But Gandhi is the Father of the Nation because of his contribution to the freedom struggle and only after that was his picture printed on the currency notes. Therefore, R is not the correct explanation of A and option 2 is the correct solution.
If the supplement of an angle is (5/2) of its complement, then find the angle.
We know, two angles whose sum is 90° are called complementary angles and two angles whose sum is 180° are called supplementary angles
Let the angle be x
According to the question,
⇒ (180° – x) = 5/2 (90° – x)
⇒ 360° – 2x = 450° – 5x
⇒ 3x = 90°
⇒ x = 30°
∴ The angle is 30°
The sum of 11 consecutive integers is 11. What is the lowest integer?
Let, 11 consecutive numbers are,
⇒ (x - 5), (x - 4), (x - 3), (x - 2), (x - 1), x, (x + 1), (x + 2), (x + 3), (x + 4), (x + 5)
According to problem,
⇒ (x - 5) + (x - 4) + (x - 3) + (x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 11
⇒ 11x = 11
⇒ x = 1
∴ The lowest number = 1 - 5 = -4
⇒ c = 1 – 1/a
⇒ c + 1/a = 1
Which among the following is correct regarding the removal of the Vice President from his position?
Which one among the following is not correct about Down's Syndrome?
Applying componendo - dividendo,
Again applying componendo - dividendo,
The side mirrors of vehicles are of which type of mirrors?
The side mirrors of vehicles are convex mirrors. Because the image is smaller, more space can be covered by this mirror, so a convex mirror provides for a larger field of view than a plane mirror. This is why they are used whenever a mirror with a large field of view is needed. For example, the passenger-side rear view mirror on a car is convex.
The plasma of the blood contains which among the following constituents?
I. Proteins
II. Salts
III. Hormones
Vikram Ambalal Sarabhai (12 August 1919 – 30 December 1971) was an Indian scientist and innovator widely regarded as the father of India's space programme. Sarabhai received the Shanti Swarup Bhatnagar Medal in 1962. The nation honoured him awarding Padma Bhushan in 1966 and Padma Vibhushan (posthumously) in 1972
A wide area network is a telecommunications network or computer network that extends over a large geographical distance/place. Wide area networks are often established with leased telecommunication circuits.
Direction: Read the information given below and answer the question that follows.
Jyoti, Vipul, Disha, Ramki, Ralston, Abha, Kiran, and Anjali are sitting around a circular table facing outside.
Anjali does not sit adjacent to Ramki. Disha sits two places away to the right of Ramki. Vipul does not sit adjacent to Ramki. Ralston sits exactly between Vipul and Kiran. Vipul sits exactly between Ramki and Disha. Only one person sits between Ramki and Abha. Ralston sits opposite Anjali.
Q. Who sits opposite to Ramki?
Names: Jyoti, Vipul, Disha, Ramki, Ralston, Abha, Kiran and Anjali
1. Disha sits two places away to the right of Ramki. (Two places away mean one person in between).
2. Only one person sits between Ramki and Abha.
3. Anjali does not sit adjacent to Ramki.
4. Vipul does not sit adjacent to Ramki.
5. Vipul sits exactly between Ramki and Disha.
Note: exactly between doesn't mean persons should be the neighbors. Count from the left of Ramki and right of Disha.
B exactly between A and C means the number of persons between A and B is equal to the number of persons between B and C
6. Ralston sits exactly between Vipul and Kiran.
7. Ralston sits opposite to Anjali.
Hence, Jyoti sits opposite to Ramki.
Direction: Read the information given below and answer the question that follows.
Jyoti, Vipul, Disha, Ramki, Ralston, Abha, Kiran, and Anjali are sitting around a circular table facing outside.
Anjali does not sit adjacent to Ramki. Disha sits two places away to the right of Ramki. Vipul does not sit adjacent to Ramki. Ralston sits exactly between Vipul and Kiran. Vipul sits exactly between Ramki and Disha. Only one person sits between Ramki and Abha. Ralston sits opposite Anjali.
Q. Who sits exactly between Anjali and Ralston?
Names: Jyoti, Vipul, Disha, Ramki, Ralston, Abha, Kiran and Anjali
1. Disha sits two places away to the right of Ramki. (Two places away mean one person in between).
2. Only one person sits between Ramki and Abha.
3. Anjali does not sit adjacent to Ramki.
4. Vipul does not sit adjacent to Ramki.
5. Vipul sits exactly between Ramki and Disha.
Note: exactly between doesn't mean persons should be the neighbors. Count from the left of Ramki and right of Disha.
B exactly between A and C means the number of persons between A and B is equal to the number of persons between B and C
6. Ralston sits exactly between Vipul and Kiran.
7. Ralston sits opposite to Anjali.
Thus, Kiran and Vipul is the correct answer.
The filament of electric bulbs is generally made of ______.
If a + b + c = 8, a2 + b2 + c2 = 30, and a3 + b3 + c3 = 134, then the value of (abc)-1 is:
Given, a + b + c = 8, a2 + b2 + c2 = 30 and a3 + b3 + c3 = 134
∵ (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
⇒ 82 = 30 + 2(ab + bc + ca)
⇒ 2(ab + bc + ca) = 64 - 30
⇒ (ab + bc + ca) = 34/2 = 17
We know that,
∵ a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2 + c2 – (ab + bc + ca))
⇒ 134 – 3abc = 8 × (30 – 17) = 104
⇒ 3abc = 134 - 104 = 30
⇒ abc = 30/3 = 10
∴ (abc)-1 = 1/10
The force acting between two electric charges is related to ________.
1. Emf is induced whenever a conductor is rotated in the magnetic field.
2. The induced emf equals the rate of change of flux
The income of a person is Rs. 45000 and his expenditure is Rs. 33000. If his income is increased by 22% and expenditure increased by 11%, then what will be the percentage increase in his savings?
Initial income = Rs. 45000
Initial Expenditure = Rs. 33000
Savings = Rs. 45000 - Rs. 33000 = Rs. 12000
New Income = 45000 + 22% of 45000 = Rs. 54900
New Expenditure = 33000 + 11% of 33000 = Rs. 36630
New savings = 18270
∴ Percentage increase in savings = [(18270 - 12000)/12000] × 100 = 52.25%
A boat goes 20 km against the stream and 32 km along the stream in 8 hours. It also goes 32 km against the stream and 20 km along the stream in 8.5 hours. What is the rate of the stream?
Let the rate of upstream be x kmph and rate of downstream be y kmph
Adding eq (1) and eq(2), we get
⇒ 52(1/x + 1/y) = 33/2
Subtracting eq (1) from eq(2), we get
⇒ 12(1/x – 1/y) = 1/2
Adding eq (3) and eq (4), we get
⇒ 2/x = 14/39
⇒ x = 5.57 kmph
⇒ Substitute x in eq (3), we get
⇒ 1/(5.57) – 1/y = 1/24
⇒ y = 7.25 kmph
Upstreamrate is 5.57 kmph and rate downstream is 7.25 kmph
∴ Rate of current = = 0.84 kmph
Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?
In the figure, H is the height of the other tree.
In triangle AEB, AB = 200/tan45°
⇒ AB = 200 mtr
⇒ BC = 400 - 200 = 200 mtr
In triangle DCB, tan 60° = H/BC
⇒ H = 200√3 mtr
∴ Height (in metres) of the other tree = 200√3 mtr
A mirage is formed because of which of the following phenomenon?
Akash purchased an article at a discount of 40% and sold it to Ram at 40% profit. What is the ratio between the market price and the price for which he sold?
Let, marked price = Rs. x
Discount = 40%
∴ Cost price = x - x × 40/100 = Rs. 0.6x
Profit = 40%
∴ Selling price,
⇒ 0.6x + 0.6x × 40/100
⇒ 0.84x
∴ Required Ratio,
⇒x ∶ 0.84x
⇒ 100 ∶ 84
⇒ 25 ∶ 21
Who among the following won the BWF World Championship 2018 women’s singles title?
A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match?
Let his average before the 21st match be x and average after the 21st match will be x + 2
His total runs before the 21st match can be given as 20x.
From the problem statement
⇒ x + 2 = (87 + 20x)/21
⇒ x = 45
∴ His average before the 21st match is 45.
"Yakshagana" folk dance is associated to which Indian state?
A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 34cm. The approximate area of the circle is :
Perimeter of the circle = Perimeter of the rectangle
Perimeter of the circle = 2 × (length + breadth)
Perimeter of the circle = 2 × (18 + 34) = 104 cm
2πr = 104
r = 16.5 cm
Area of the circle = π × r2 = π × 16.52 = 856 cm2
∴ The area of the circle is 856 sq.cm
Which of the following writ is issued by a higher court to a lower court?
There are five types of Writs -Habeas Corpus, Mandamus, Prohibition, Certiorari and Quo warranto. The writ of prohibition is meant to direct a subordinate to stop doing something that the law prohibits. It is issued by a higher court to a lower court.
For the quadratic equation x2 -3x + 2 = 0, what is the sum of the reciprocals of its roots?
We know that if α and β are roots of a quadratic equation then the quadratic equation is of the form
x2 – (α + β) x + αβ = 0
So in the question, α + β = 3 and αβ = 2
Sum of the reciprocals of roots =
Pampas grasslands can be usually found in which of the following places?
Pampas grasslands are fertile South American lowlands, covering more than 750, 000 km2 that include the Argentine provinces of Buenos Aires, La Pampa, Santa Fe, most of Uruguay; and the southernmost BrazilianState, Rio Grande do Sul.
Raja is the father of Rupam, but Rupam is not his son. Pariksha is the wife of Raja. Kunal is the son of Pariksha. How is Rupam related to Pariksha?
The given information can be represented as follows,
Thus Rupam is the daughter of Pariksha.
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