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Complete the passage by choosing the correct words for the numbered blanks.
The industry entered a deep crisis after the __(A)__ of the Soviet Union, which __(B)__ in the last years of the 1990s. The __(C)__ of the space program __(D)__ by 80% and the industry lost a large part of its workforce, until recovery begun in the early 2000s. Many companies __(E)__ by creating joint-ventures with foreign companies and marketing their products abroad.
Q. Which of the following fits in the blank labelled(A)?
The meanings of the words are:
Aberration => abnormality
Chastisement => to criticize someone severely
Dissolution => the action of formally ending or dismissing an assembly, partnership, or official body.
Cauldron => a large bowl-shaped pot used for cooking over an open flame
Thus option 3 is the correct word as it conveys a proper meaning that the industry suffered from a crisis after the Soviet Union dissolved.
Complete the passage by choosing the correct words for the numbered blanks.
The industry entered a deep crisis after the __(A)__ of the Soviet Union, which __(B)__ in the last years of the 1990s. The __(C)__ of the space program __(D)__ by 80% and the industry lost a large part of its workforce, until recovery begun in the early 2000s. Many companies __(E)__ by creating joint-ventures with foreign companies and marketing their products abroad.
Q. Which of the following fits in the blank labelled (B)?
The word 'created' does not fit here grammatically or logically. The word 'peaked' means 'be at its highest point' and conveys the meaning that the Soviet Union was at its best in the in the last years of the 1990s. Thus option 2 is the correct answer. The word 'convoluted' means 'complicated' and 'checkered' means 'having a pattern of alternating squares, usually with two colors.'
Complete the passage by choosing the correct words for the numbered blanks.
The industry entered a deep crisis after the __(A)__ of the Soviet Union, which __(B)__ in the last years of the 1990s. The __(C)__ of the space program __(D)__ by 80% and the industry lost a large part of its workforce, until recovery begun in the early 2000s. Many companies __(E)__ by creating joint-ventures with foreign companies and marketing their products abroad.
Q. Which of the following fits in the blank labelled (C)?
The meanings of some of the words are:
Abrasion=> erosion
Grounding=> basic training or instruction in a subject.
Thus option 3 fits here as it means that the funding of the project was affected. The sentence presents a negative scenario as is portrayed by the other half of the sentence. The other words cannot fit here. Option 4 conveys a partial meaning but is less appropriate than option 3.
Complete the passage by choosing the correct words for the numbered blanks.
The industry entered a deep crisis after the __(A)__ of the Soviet Union, which __(B)__ in the last years of the 1990s. The __(C)__ of the space program __(D)__ by 80% and the industry lost a large part of its workforce, until recovery begun in the early 2000s. Many companies __(E)__ by creating joint-ventures with foreign companies and marketing their products abroad.
Q. Which of the following fits in the blank labelled (D)?
The passage talks about a crisis thus it is obvious that the funding of the project would reduce thus option 1 fits here correctly. The other words are incorrect here.
Complete the passage by choosing the correct words for the numbered blanks.
The industry entered a deep crisis after the __(A)__ of the Soviet Union, which __(B)__ in the last years of the 1990s. The __(C)__ of the space program __(D)__ by 80% and the industry lost a large part of its workforce, until recovery begun in the early 2000s. Many companies __(E)__ by creating joint-ventures with foreign companies and marketing their products abroad.
Q. Which of the following fits in the blank labelled (E)?
The sentence talks about recovery thus 'survived' which means 'continued to exist' fits here correctly. It conveys a proper meaning too that companies survived as joint ventures were created. Other words do not convey any meaning here.
Showered=> give a great number of things to (someone).
Framed=> formed
Option 4 is thus the correct answer.
In the following question, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the ''No error'' option.
Q. My laptop is superior and more expensive than that
Superior’ and ‘Inferior’ take the preposition ‘to’ and not ''than.'' This is also the case for ''junior and senior.'' So option 3 is correct.
In the following question, one part of the sentence may have an error. Find out which part of the sentence has an error and click the button corresponding to it. If the sentence is free from error, click the ''No error'' option.
Q. Vows made in storms are forgot in calms
This is a general observation or a quote. It is not an event bound by time like past, present or future. Such sentences are always in present indefinite tense. But we can't use the second form of the verb after is/are. We surely can use the third form of the verb after is/are and that is exactly what we must do. Here 'forgotten'' basically acts as an adjective. So option 2 is correct.
In the following question, the sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Q. The thief had been _______ prison before.
The proposition 'on' means something in contact with the surface or above something. The proposition 'along' means to move in a constant direction. The proposition 'below' means to be under something. All these propositions do not fit the context of the sentence. Therefore, the correct answer is 'in' which means to be inside of something.
In the following question, the sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Q. He finished first _______ he began late.
The word ‘through’ and 'thought' disturbs the grammatical arrangement of the sentence. Out of the given words, ‘throw’ does not convey any meaning, making ‘though’ as the correct answer, as it fits the sentence correctly from the grammatical as well as the meaning standpoint.
In the following question, out of the four alternatives, select the word similar in meaning to the given.
Ubiquitous
Let’s find out the meaning of the given word ubiquitous-present or found everywhere
Now the meaning of the words that are mentioned:
Meagre-scarce
Embezzle-to steal money from the place one works
Here, universal is the most similar in meaning to the given word. Hence, option 2 the correct answer.
In the following question, out of the four alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it.
Extroverted
Extroverted means ''outgoing and socially confident.'' Only other word with a similar meaning is ''Sociable.'' Socially confident means ''sociable.'' So option 1 is correct.
Affable: friendly, good-natured, or easy to talk to.
Gracious: courteous, kind, and pleasant, especially towards someone of lower social status
Bashful: reluctant to draw attention to oneself; shy
In the following question out of the following alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it.
Absolution
The correct word here is 'acquittal' which means 'a judgement or verdict that a person is not guilty of the crime with which they have been charged.' This is the correct answer because absolution too means 'ecclesiastical declaration that a person's sins have been forgiven.'
Recruitment: the action of finding new people to join an organization or support a cause.
Promotion: the action of promoting someone or something to a higher position or rank or the fact of being so promoted.
Innovation: the action or process of innovating.
In the following question out of the following alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it.
Treason
The correct word here is 'treachery.' It means 'betrayal of trust.' This is exactly the meaning of the word 'treason' too. So option 3 is the correct answer.
Tendency: an inclination towards a particular characteristic or type of behaviour.
Inclination: a person's natural tendency or urge to act or feel in a particular way; a disposition
Pheasant: a large long-tailed game bird native to Asia, the male of which typically has very showy plumage.
In the following question, out of the four alternatives, select the alternative which is the best substitute for the phrase.
An animal with four feet.
The correct answer is option 1, i.e., 'quadruped'.
It is an animal which has four feet, especially an ungulate mammal.
'Smell is so important to quadrupeds.' could be used as a sentence to understand the meaning of the word better.
In the following question, out of the four alternatives, select the alternative which is the best substitute for the phrase.
A satisfactory action or proposal
Let’s find out the meaning of the given options:
Benevolent- kind and charitable
Altruistic- selfless
Acquisitive- obsessed with acquiring money and wealth
Palatable- an acceptable idea or suggestion; a pleasing food or drink
Clearly, option 4 i.e. palatable best expresses the above-mentioned phrase.
In the following question, out of the four alternatives, select the alternative which is the best substitute for the phrase.
A large piece of heavy cloth that has pictures woven on to it
Let’s find out the meaning of the given options:
Tapestry- a thick piece of fabric covered with a design or picture formed by weaving threads together. It is usually used as a wall hanging
Drugget- a coarse fabric used to make floor coverings
Mantle-a covering of a specified sort
Canopy-an ornamental cloth hung or held over something
Clearly, option 1 i.e. tapestry best expresses the above-mentioned phrase.
In the following question, out of the four alternatives, select the alternative which is the best substitute for the phrase.
A man highly concerned with looking stylish and fashionable
Let’s find out the meaning of the given options:
Boulevardier- a wealthy and fashionable socialite
Dapper- a nicely dressed man who is usually thin
Philanderer- a womanizer
Dandy- a man who spends a lot of money on his clothes and appearance
Clearly, option 4 i.e. dandy best expresses the above-mentioned phrase.
In the following question, out of the four alternatives, select the alternative which is the best substitute for the phrase.
The middle class, in terms of perceived wealth, property and values
Let’s find out the meaning of the given options:
Bourgeoisie- the middle class with reference to their materialistic values and conventional attitudes
Proletarian- a person belonging to the lower class of society
Plebeian- a member of the working class
Patrician- nobleman or member of a wealthy family
Clearly, option 1 i.e. bourgeoisie best expresses the above mentioned phrase. Hence, option 1 is the correct answer.
In the following question, out of the four alternatives, select the alternative which is the best substitute for the phrase.
A dull-witted person
Let’s find out the meaning of the given options:
Astute- accurately judging the situation to use to one’s advantage
Tomfoolery- silly behavior
Unremitting- continuing for a long period of time without stopping
Schmo- a stupid or annoying person
Clearly, option 4 i.e. schmo best expresses the above-mentioned phrase. Hence, option 4 is the correct answer.
In the following question, out of the four alternatives, select the alternative that best expresses the meaning of the idiom/phrase.
Mince matters
The correct answer is option 1, i.e., 'to speak reservedly'.
The idiom 'mince matters' means to speak frankly or avoid giving offence. It is a polite or moderate expression used to indicate disapproval but at the same time minimising the harsh impact of words.
To understand the use of the phrase best, the idiom could be used in the sentence - Not to mince matters, some of these pundits are mere charlatans.
Therefore, the correct answer is option 1.
In the following question, out of the four alternatives,select the best alternative which best expresses the meaning of the idiom/phrase.
Ballpark Figure
Ballpark Figure means ''Approximate estimate.'' So option 3 is correct.
In the following question, out of the four alternatives,select the best alternative which best expresses the meaning of the idiom/phrase.
All thumbs
All thumbs means ''clumsy'' so option 2 is correct.
Read the given passage and answer the questions that follow.
Two senior Indian officials said they were briefed last week on the U.S. plan to cap the number of H-1B visas given annually to Indians at between 10% and 15% of the total number issued. There is no country-specific limit on the 85,000 H-1B work visas that the United States grants each year, and an estimated 70% of them go to Indians.
Indian IT stocks fell on June 20 following concern about any work visa curbs. Indian tech lobby group Nasscom said such a U.S. plan would imply a “further crunch” for businesses in the United States getting skilled workers. Sources said the U.S. proposal was linked to a push by many governments for “data localisation”, in which a country places restrictions on data flows to gain better control over it, and curb the power of foreign firms. The plan, if implemented, would also apply to countries other than India, the sources said.
Q. According to the passage, what is going to be the effect of US's plans of capping the number of H-1B visas given annually to Indians?
The answer to this question is provided in the following lines of the passage: Indian tech lobby group Nasscom said such a U.S. plan would imply a “further crunch” for businesses in the United States getting skilled workers.
Hence, the US will face a shortage of skilled workers if the US plans on capping the number of H-1B visas given annually to Indians.
Thus option 1 is correct.
Read the given passage and answer the questions that follow.
Two senior Indian officials said they were briefed last week on the U.S. plan to cap the number of H-1B visas given annually to Indians at between 10% and 15% of the total number issued. There is no country-specific limit on the 85,000 H-1B work visas that the United States grants each year, and an estimated 70% of them go to Indians.
Indian IT stocks fell on June 20 following concern about any work visa curbs. Indian tech lobby group Nasscom said such a U.S. plan would imply a “further crunch” for businesses in the United States getting skilled workers. Sources said the U.S. proposal was linked to a push by many governments for “data localisation”, in which a country places restrictions on data flows to gain better control over it, and curb the power of foreign firms. The plan, if implemented, would also apply to countries other than India, the sources said.
Q. According to the passage, which of the following options stand true regarding “data localisation”?
According to the passage, "Data localisation" is the process in which a country places restrictions on data flows to gain better control over it, and curb the power of foreign firms.
Hence the correct answer is option 4.
Read the given passage and answer the questions that follow.
Two senior Indian officials said they were briefed last week on the U.S. plan to cap the number of H-1B visas given annually to Indians at between 10% and 15% of the total number issued. There is no country-specific limit on the 85,000 H-1B work visas that the United States grants each year, and an estimated 70% of them go to Indians. Indian IT stocks fell on June 20 following concern about any work visa curbs. Indian tech lobby group Nasscom said such a U.S. plan would imply a “further crunch” for businesses in the United States getting skilled workers. Sources said the U.S. proposal was linked to a push by many governments for “data localisation”, in which a country places restrictions on data flows to gain better control over it, and curb the power of foreign firms. The plan, if implemented, would also apply to countries other than India, the sources said.
Q. Out of the given options, choose a suitable title for the passage.
The passage talks about the U.S.'s decision to cap the H-1B visas, the reason behind it, and its effects.
Therefore, the title 'Capping H-1B VIsa: Causes and Effects' suits the passage perfectly.
Hence the correct answer is option 1.
Which one of the following is not an Air Defence Missile system?
Who among the following is a recipient of first World Sanskrit Award?
Maha Chakri Sirindhorn is a recipient of first World Sanskrit Award.
How much prize money is given for "Mahatma Gandhi Peace Prize"?
Who among the following was the first to use the term 'Indus Civilization'?
Who among the following led the Khasi Tribal Movement against the British?
Who among the following rulers set up the department of Diwan-i-Khairat?
Who among the following is an example of the Permanent executive?
The permanent executives are:
Article 51-A of the Indian Constitution deals with which of the following matter?
Who among the following won the prestigious Man Booker International Prize for 'Celestial Bodies'?
Trick: Students were very excited (Bauxite) for Alumni (Aluminium) meeting.
To which state does origin of classical dance form ‘Kathak’ attributed to?
Kathak is a North Indian dance which originated in the state of Uttar Pradesh. The name Kathak comes from the word "katha" which means a story. Shambhu Maharaj is one of the famous Kathak dancer.
In Tennis, who lifted the French Open Men's Singles title in June 2019?
Who has become the fastest batsman to reach 11,000 runs in one-day internationals in June 2019?
Where was the 4th United Nations Environment Assembly held in March 2019?
Which indigenous guided missile destroyer was launched by Indian Navy in April 2019?
In the following question, select the odd letters from the given alternatives.
Hence, XAC is the odd one out.
In the following question, select the odd letters from the given alternatives.
Here, it follows a pattern of +1 between 1st and 2nd characters and of +2 between 2nd and 3rd characters as shown below:
Thus, MNQ is the odd one.
Directions: In the following question, select the one which is different from the other three responses.
Except Frivolous – Solemn, all other pairs of words are synonyms of each other.
Hence, Frivolous – Solemn is different from the other three responses.
In the given question, in three out four figures, figure 1 is related to figure 2 in same particular manner. Spell out the pair in which relationship does not exist between figure 1 and figure 2.
In each pair of figure i and ii, the relationship is such that figure 1(i) is rotated 90 degree anticlockwise to form figure 1(ii). In option (4) when figure 1 is rotated 90 degree anticlockwise, it does not form figure 2.
Hence option figure (4) is the odd one.
In the following question, select the odd image from the given alternatives.
Here, except option 3, all are water images of each other,
whereas, option 3 is the mirror image of each other.
Hence, option 3 is the odd one out.
Except bear, all the three belong to cat family hence bear is the odd one out.
Direction: Select the one which is different from the other three responses.
Here all except Shark are Mammals. Shark is a Fish.
From amongst the figures marked (A), (B), (C) and (D), select the figure which satisfies the same conditions of placement of the dots as in figure (X).
In figure (X), one of the dots lies in the region common to the circle, the triangle and rectangle only and the second dot lies in the region common to the triangle and the rectangle only. And the other dot lies in the region common to the triangle, the oval and the rectangle. Only figure (C) consists of above types of regions.
Hence, figure (C) is the correct one.
In the following question, select the related word from the given alternatives.
Steel : Alloy ∷ Zinc : ?
Steel is an Alloy.
Similarly, Zinc is a Metal.
Hence, Metal is the answer.
In the following question, select the related word from the given alternatives.
Sports : Logo ∷ Nation : ?
Logo is the symbol of Sports.
Similarly, Emblem is the symbol of Nation.
Hence, Emblem is the answer.
In a certain code language, “VERKA” is written as “SBOHX”. How is “DAIRY” written in that code language?
The pattern followed here is:
Subtracting 3 from numerical value of each alphabet of “VERKA”, we get “SBOHX”.
Same pattern will be followed for “DAIRY”
D - 3 = A
A - 3 = X
I - 3 = F
R - 3 = O
Y - 3 = V
Hence, “DAIRY” will be coded as “AXFOV”.
Previous
From amongst the figures marked (A), (B), (C) and (D), select the figure which satisfies the same conditions of placement of the dots as in figure (X).
In figure (X), dot lies in the region common to the circle and the hexagon only. Only figure (D) consists of above types of regions.
Hence, figure (D) is the correct one.
Which answer figure will complete the pattern in the question figure?
The left and right side of the figure are symmetrical which means the missing figure will be the mirror image of its left counterpart.
Hence, will be the correct ans.
Which answer figure will complete the pattern in the question figure?
Thus image at option 1 completes the given figure.
Which one of the following diagram best depicts the relationship among Cricket, batsman, bowler?
Here, Cricket consists of both batsman and Bowler.
Hence, above image is the correct option.
In a certain code language, "PARK" is written as "TEVO". How is "TALK" written in that code language?
The logic here is as follows,
P + 4 = T
A + 4 = E
R + 4 = V
K + 4 = O
Similarly,
T + 4 = X
A + 4 = E
L + 4 = P
K + 4 = O
Thus TALK is coded as XEPO.
In a certain code language, “TURTLE” is written as “RRNRIA”. How is “LOYALS” written in that code language?
Similarly,
Hence, JLUYIO is the correct answer.
In the following figure, triangle represents teachers, square represents merchants and circle represents social workers. Which number space represents teachers who are social workers but not merchants?
Given that the triangle represents teachers,
The square represents merchants and
The circle represents social workers
Teachers who are social workers means it is an intersection of only teachers and social workers.
That means the intersection of triangle and circle.
From the given figure we can say that 2 represents the intersection of both triangle and circle.
Hence, the answer is 2.
Which number indicates Doctors who are neither Engineers nor Good speakers?
A → Engineers B → Good speakers
C → Doctors
Here, According to the Venn diagram,
Doctors who are neither Engineers nor Good speakers = 2.
Therefore, answer is 2.
Which one of the following diagrams best depicts the relationship among people, women and mothers?
Here, it follows a relationship of women are mothers and a group of people.
Therefore, B is the answer.
In the following question, select the related letters from the given alternatives.
PHONE : QJRRJ ∷ HELLO : ?
The pattern here is as follows,
Therefore, IGOPT is the correct answer.
In the following question, select the related letters from the given alternatives.
ABC : EXI :: NOS : ?
The pattern is as follows:
The first letter of the 1st word is replaced by the letter four places ahead in alphabetical series. The second letter of the 1st word is replaced by the letter preceding four places in alphabetical series. The third letter of the 1st word is replaced by the letter six places ahead in alphabetical series.
Hence the required conversion is:
Thus RKY is the correct alternative.
From the given answer figures, select the one in which the question figure is hidden/embedded.
The question figure is embedded in this figure.
From the given answer figures, select the one in which the question figure is hidden/embedded.
On close observation, we find that question figure is embedded in fig.2, as shown below:
Thus, figure 2 is the correct answer.
Which answer figure will complete the pattern in the following question figure?
The left and right sides of the figure are symmetrical.
Hence, option “2” is the correct answer.
Which answer figure will complete the pattern in the question figure?
The first figure completes the pattern because the straight line touches the vertex from both ends and the dot is in the middle of the triangle.
In the question a statement is given, followed by two arguments, 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 arguments, if any, is a strong argument.
Statement: Should local train tickets be subsidized?
Argument I: No, In an environment where locals trains are overcrowded, subsidy will worsen the situation.
Argument II: Yes, Local trains reduce number of vehicles on the road, thus reducing pollution, reduce costs and travel time.
decreasing the number of passengers opting other mode of transportation for commuting.
Argument I: Increasing the number of passengers in the trains would overcrowd the already overcrowded trains, clearly worsen the situation of overcrowding which could pose a threat to the safety of the passengers. Notice, The argument I shows that subsidizing the ticket would have a Direct Negative Impact on the over-crowding problem of the local train. The argument clearly compliment the answer No.
So, arguement I is strong.
Argument II: Increasing the number of passengers in the trains would negatively impact the number of vehicles on the road, thus reducing pollution, costs and travel time. Notice, subsidizing the ticket would have a Direct Impact on the number of vehicles on the road, thus bringing the mentioned positives on the table. So, the argument compliment the answer Yes.
So, argument II is also strong.
From among the figures marked (A), (B), (C) and (D), select the figure which satisfies the same conditions as the placement of the dots as in figure (X).
In figure (X), one of the dots lies in the region common to the circle, triangle and rhombus and the other dot lies in the region common to the triangle and rhombus only. Only figure (C) consists of both types of regions.
Hence, figure (C) is the correct one.
From among the figures marked (A), (B), (C) and (D), select the figure which satisfies the same conditions as the placement of the dots as in figure (X).
In figure (X), one of the dots lies in the region common to the hexagon and rectangle and the other dot lies in the region common hexagon only. Only figure (D) consists of both types of regions.
Hence, figure (D) is the correct one.
Given below is a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Statement: It is good to put the child in school at the age of 3.
Assumptions:
I. A child at the age of 3 is not ready to learn.
II. Doing so will make a child good in studies
The statement tells us that putting a child in school at the age of 3 is good, but no information is given if the child is ready to learn or doing so will make a child good in studies.
Therefore, ‘neither I nor II is true’.
Which answer figure will complete the pattern in the following question figure?
Hence, figure given in option 1 will complete the pattern.
In the question below is given a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Statement:
Jaanu’s advice to Kranthi – “Visit New Zealand during the spring season.”
Assumptions:
I. Kranti is planning for a pleasure trip abroad.
II. Jaanu is a travel agent.
As Jaanu is advising to Kranti to visit New Zealand during the spring season, that means Kranti is planning for a trip abroad. Else why would someone advices her. But giving advice does not mean Jaanu is a travel agent.
Thus only assumption I is implicit.
A zoo has an average of 140 visitors on Sundays and 80 on other day. The average number of visitors in a month of 30 days starting with Sunday is
GIVEN:
visitor on Sunday = 140
Visitors on other days = 80
CONCEPT:
As the month begin with Sunday, so there will be five Sundays in the month.
CALCULATION:
Result will be:
= ((140 × 5 + 80 × 25)/30)
= (700 + 2000)/30
= 2700/30 = 90
Ram’s present age is 4/5th of the age of his brother. After 10 years, he will be 9/10th of the age of his brother. How old is the brother at present?
Let the brother’s present age be x years.
Then,
Ram’s present age = 4/5 x
⇒ 4x/5 + 10 = 9/10(x + 10)
⇒ 9x/10 - 4x/5 = 10 - 9
⇒ 5x/50 = 1
⇒ x = 10
Brother’s age = 10 years.
Karishma expenditure and savings are in the ratio 5 : 3. Her income increases by 15%. Her expenditure also increases by 18%. By how many % does he saving increase?
GIVEN:
Ratio of Expenditure and Savings = 5:3
FORMULA USED:
Percentage Increase in saving = [(New savings - old savings)/old savings] × 100
CALCULATION:
Let expense = 500, savings = 300 & income = 800
So new expense = 500 + 18% of 500 = 500 + 90 = 590 & new income = 800 + 15% of 800 = 800 + 120 = 920
So new savings = 920 - 590 = 330
∴ Required percentage increase in savings = (330 - 300)/300 × 100 = 30/300 × 100% = 10%
A thief steals a bike at 2:30 pm and drive at a speed of 80 km/hr. Police came to know about thief at 3:30 pm and start chasing him with the speed of 90 km/hr. After how much kilometre police will catch the thief?
GIVEN:
Police came to know that thief after 1 hours.
CONCEPT:
So, distance b/w thief and the police 80 km, now police start chasing him with a relative speed
FORMULA USED:
Relative speed = Speed of Police - Speed of thief
Speed = Distance/Time
CALCULATION:
Relative Speed = (90 - 80) = 10 km/hr.
Time taken by police = 80/10 = 8 hrs.
Distance run by police = 90 × 8 = 720 km
A trader wants to earn profit even after allowing a discount of 20%. Find by how much percent he has to increase his cost price to make M.P.?
GIVEN:
Profit% = and Discount = 20%
FORMULA USED:
Required Percentage = Difference of CP and MP/CP
CALCULATION:
Profit%
So, CP = 15
& SP = 16
Discount = 20% = 1/5
So,
MP = 5
SP = 5 - 1 = 4
Make, SP same in both cases
CP = 15
SP = 16
MP = 20
CP SP MP
15 : 16 : 20
Different b/w CP & MP = 5
∴ Required Percentage ⇒ 5/15 × 100 =
Alternate method:
Profit % = (M + D + MD/100)%
If the difference between C.I. and S.I. is Rs. 512 at 20% rate of interest in 3 years. find the Principal.
GIVEN:
CI - SI = Rs. 512, R = 20%, T = 3 years
FORMULA USED:
Difference = (P × R² (300 + R))/100³ (Applicable only for 3 years)
CALCULATION:
512 = (P × (20)² (300 + 20))/((100)³)
(512 × 100 × 100 × 100)/(20 × 20 × 320) = P
P = Rs. 4000
Amit and Sumit can separately finish the work in 15 days and 25 days respectively. They worked together and Amit left the work, So Sumit complete the remaining work in 5 days. Find after how many days Amit left the work?
GIVEN:
Amit can do a work in 15 days.
Sumit can do a work in 25 days.
FORMULA USED:
Amit one day work × working days + Sumit one day work × working days = 1
CALCULATION:
Let Amit left after x days.
Sumit worked for (x + 5) days.
⇒ 1/15 × x + 1/25 (x + 5) = 1
⇒ x/15 + x/25 + 1/5 = 1
⇒ (5x + 3x)/75 = 4/5
⇒ 8x/75 = 4/5
Alternate method:
Let total work = LCM of (15, 25) = 75
So, Amit’s 1 day work = 5 & Q’s 1 day work =3
So Sumit’s 5 days work in last = 3 × 5 = 15
So remaining work = 75 - 15 = 60
So this 60 units of work is completed by both in = 60/(5 + 3) = 60/8 =
The average age of husband, wife and their child 4 years ago were 26 years and that of wife and the child 5 years ago was 25 years. The present age of the husband is
GIVEN:
The average age of husband, wife and their child 4 years ago = 26 years
wife and the child 5 years ago = 25 years
FORMULA USED:
Husband’s present age = Sum of the present ages of husband, wife and child - Sum of the present ages of wife and child
CALCULATION:
Sum of the present ages of husband, wife and child = (26 × 3 + 4 × 3) = 90
Sum of the present ages of wife and child = (2 × 25 + 5 × 2)
⇒ (50 + 10) = 60
Husband’s present age ⇒ (90 - 60) = 30 years
A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?
GIVEN:
Tap A fill the tank in 10 minutes and Tap B fill the tank in 30 minutes
FORMULA USED:
Remaining work = 1 - (A + B)’s 5-minute work
CALCULATION:
Part filled by Tap A in 1 minute = 1/10
Part filled by Tap B in 1 minute = 1/30
(A + B)’s 5-minute work = 5 × (1/10 + 1/30)
= 5 × ((3 + 1)/30)
= 5 × (4/30)
= 2/3
Remaining work = 1 - 2/3 = 1/3
1/30th Part filled by Tap B in = 1 minute
1/3rd Part will be filled in = (1/3)/(1/30)
= 30/3
= 10 minutes
Alternate method:
Let total capacity of tank = LCM of (10, 30) = 30 L
So, A can fill in 1 minute = 30/10 = 3L and B can fill in 1 minute = 30/30 = 1L
So, both taps together filled in 5 minutes = (3 + 1) × 5 = 4 × 5 = 20 L
So remaining tank = 30 - 20 = 10
So this 10L is completed filled by B tap = 10/1 = 10 minutes
A bus covers a distance in 25 minutes, if it runs at a speed of 24 km/hr on an average. Find the speed at which the bus must run to reduce the time of journey to 20 minutes.
GIVEN:
When Speed = 24 km/hr then time = 25 min
FORMULA USED:
Speed = Distance/time
Time = Distance/Speed
CALCULATION:
Time (in hours) = 25/60 hr = 5/12 hr
Distance = Speed × Time
= 24 × 5/12
= 10 km
New time will be 20 minutes so,
Time = 20/60 = 1/3 hr
Now we know,
Speed = Distance/Time
= 10 × 3
= 30 km/hr
Alternate method:
Time changes from 25 min to 20 min
So speed must changes in inverse ratio i.e, 20 to 25
So 20 : 25 = 24 : x
Or x = 30 kmph
Raju buys rice at Rs. 10/kg and puts a price tag on it to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage?
GIVEN:
C.P of 1000 gm = Rs. 10
M.P of 1000 gm = Rs. 12
S.P of 800 gm = Rs. 12
(because he uses 800 gm weight instead of 1000 gm)
FORMULA USED:
C.P of 800 gm = C.P of 1000 gm/1000 × 800
Required Profit % = SP - CP/CP × 100
CALCULATION:
C.P of 800 gm = 10/1000 × 800 = Rs. 8
(because C.P of 1000 gm is Rs. 10)
∴ Required Profit % = 4/8 × 100 = 50%
Alternate method:
Profit % (a) by faulty balance = (1000 - 800)/800 × 100 = 200/800 × 100 = 25%
And Profit% (b) by mark up = 20%
So overall net % profit = a + b + ab/100 = 25 +20 + (25 × 20)/100 = 45 + 5 = 50%
Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income is
GIVEN:
Income ratio of Rohit and Shikhar = 9 : 7
Expenditure ratio of Rohit and Shikhar = 4 : 3
Savings of Rohit and Shikhar = 15000 and 12000 respectively
FORMULA USED:
Income - savings = Expenditure
CALCULATION:
Let the monthly income of Rohit and Shikhar be 9x and 7x respectively
According to the question,
(9x - 15000)/(7x - 12000) = 4/3
⇒ 27x - 45000 = 28x - 48000
⇒ x = 3000
Difference in Monthly Income = (9x - 7x) = 2 × 3000 = 6000 Rs.
Find the maximum number of trees which can be planted, 25 meters apart, on the two sides of a straight road 2125 meters long
GIVEN:
Distance between plants = 25 m
Length of the road = 2125 m
FORMULA USED:
Maximum number of trees = Number of trees on each side of the road × 2
CALCULATION:
Number of trees on each side of the road [+1 because we would start with a tree]
= 2125/25 + 1 = 85 + 1 = 86
∴ Required answer = 86 × 2 = 172
While selling a Bike, Chaman gives a discount of 20% on the marked price. If he gives a discount of 24%, he earns Rs. 70 less as profit. The marked price of the Bike is
GIVEN:
Change in discount = 24% from 20%
FORMULA USED:
CP (at 20% discount) - CP (at 24% discount) = Marked price
CALCULATION:
Let the Marked price of the Bike be x
After Discount of 20%
Cost price = 80x/100
After Discount of 24%
Cost price = 76x/100
According to the question
80x/100 - 76x/100 = 70
⇒ 4x/100 = 70
⇒ x = 1750
The time required for a sum of money to amount to five times itself at 16% simple interest p.a. will be
GIVEN:
Rate of Interest = 16%
FORMULA USED:
Simple Interest = (P × R × T)/100
CALCULATION:
Let Principal = x
Amount = 5x
Simple Interest = 5x - x=4x
Simple Interest = (P × R × T)/100
4x = (x × 16 × T)/100
T = 25 years.
Alternate method:
Principal (100) → amount (500)
So, interest = 500 - 100 = 400 @ 16%
Therefore, required time = 400/16 = 25 years
A train has to cover a distance of 90 km in 15 hours. If it covers half the journey in 4/5th of the time, the speed to cover remaining distance in the time left has to be
GIVEN:
Total Distance = 90 km
Total Time = 15 hours
FORMULA USED:
Speed = Distance/Time
CALCULATION:
4/5th of the time = 15 × 4/5 = 12 hours
Now, remaining distance = 90 - 45 = 45 km
Remaining time = 15 - 12 = 3 hours
Average speed to cover the distance of 45 km will be 45/3 = 15 km/hr.
What will come in place of ‘?’
(25)² × 4 ÷ 5 + (3)³ + 48 = ? + 425
25 × 25 × 4/5 + 27 + 48 = ? + 425
5 × 25 × 4 + 75 = ? + 425
575 = ? + 425
? = 575 - 425
? = 150
A person can row to a place of 60 km away and come back in hours. The time to row 12 km with the stream is same as the time to row 8 km against the stream. Find the speed of the current?
GIVEN:
Distance = 60 km
Total time taken to go and come back = hours = 25/2 hours
FORMULA USED:
Speed = Distance/Time
CALCULATION:
Speed downstream = 12/x km/hr
Speed upstream = 8/x km/hr
According to the question,
60/(12/x) + 60/(8/x) = 25/2
60 (x/12 + x/8) = 25/2
15 (x/3 + x/2) = 25/2
x = 1 km/hr
So, speed downstream = 12 km/hr
Speed upstream = 8 km/hr
Speed of current = ½ × (12 - 8) = 2 km/hr
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