General Aptitude

‘The team ______ more than 300 runs in 20 overs __________ rains. However, some players needed to improve their batting skills.’
Choose the option with the correct sequence of words to fill the blanks.

If a positive real \(x\) satisfies \(\log_2 x + \log_{\sqrt{2}} x = 48\), then the value of \(x\) is

The next figure (indicated by ‘?’) in the sequence is

‘All the mangoes in the basket are good.’
If the above statement is false, then which one of the following statements is necessarily true?

Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.

Choose the correct sequence: “People are crowding around ___ pit into which ___ elephant has fallen... bewildered ___ miserable... look up ___ a vast, curiosity-stricken crowd.”

Five products P,Q,R,S,T. 250 items sold, avg price Rs.60. S=2T, R=3T, Q=4T. Prices: P=100, Q=50, R=40, S=60, T=60. Quantity of P sold?

String P length \(l\) (diameter), K = semicircle. Both shortened by \(x\); K becomes full circle with P as diameter. Value of \(x/l\):

Meritorius, brother, son, daughter: seating in 2×2 grid. (i) daughter & brother same column; (ii) son diagonally across sibling of worst orator; (iii) best & worst same row. Who is best orator?

Which pattern (P, Q, R, S) generates the given figure?

Despite his initial hesitation, Rehman's ______ to contribute to the success of the project never wavered.

Bird : Nest :: Bee : ?

If \(P e^x = Q e^{-x}\) for all real values of \(x\), which one of the following statements is true?

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?

Let \(p_1\) and \(p_2\) denote two arbitrary prime numbers. Which one of the following statements is correct for all values of \(p_1\) and \(p_2\)?

“Even if I had known that you were in the hospital, I would not have gone there to see you,” Ramya told Josephine. Based on this conversation, identify the logically correct inference.

Select the correct option to complete the analogy. Komal : Fresh :: Five : ?

Which one of the following options is correct for the given data in the table?

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in cm²) of the rectangle PLMN?

The diagram below shows a river system with 7 segments (P, Q, R, S, T, U, V) splitting land into 5 zones (Z1–Z5). We need to connect these zones using the least number of bridges. Which option is correct?

If '→' denotes increasing order of intensity, then [dry → arid → parched] is analogous to [diet → fast → ________].

If (x+y) is proportional to (x−y), then x/y is

Median of: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13

The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

For positive non-zero real variables p and q, if \(\log(p^2+q^2)=\log p+\log q+2\log 3\), the value of \(\dfrac{p^4+q^4}{p^2q^2}\) is

Steve was advised to keep his head ___(i)___ before heading ___(ii)___ to bat; for, while he had a head ___(iii)___ batting, he could only do so with a cool head ___(iv)___ his shoulders. Select the best match for all the blanks.

A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges are joined to create a cylindrical tube. A cube whose surface area equals the area of the sheet is also taken. The ratio of the volume of the cylindrical tube to the volume of the cube is

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
The total fat (all three types), in grams, this person consumes is

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

The least number of squares to be added in the figure to make AB a line of symmetry is

"You are delaying the completion of the task. Send _______ contributions at the
earliest."

References : ______ : : Guidelines : Implement
(By word meaning)

In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)

In 2022, June Huh was awarded the Fields medal, which is the highest prize in
Mathematics.
When he was younger, he was also a poet. He did not win any medals in the
International Mathematics Olympiads. He dropped out of college.
Based only on the above information, which one of the following statements can be
logically inferred with certainty?

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)

Human beings are one among many creatures that inhabit an imagined world. In
this imagined world, some creatures are cruel. If in this imagined world, it is given
that the statement "Some human beings are not cruel creatures" is FALSE, then
which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand
and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what
is the cost (in rupees) of cement used?

The World Bank has declared that it does not plan to offer new financing to Sri
Lanka, which is battling its worst economic crisis in decades, until the country has
an adequate macroeconomic policy framework in place. In a statement, the World
Bank said Sri Lanka needed to adopt structural reforms that focus on economic
stabilisation and tackle the root causes of its crisis. The latter has starved it of
foreign exchange and led to shortages of food, fuel, and medicines. The bank is
repurposing resources under existing loans to help alleviate shortages of essential
items such as medicine, cooking gas, fertiliser, meals for children, and cash for
vulnerable households.
Based only on the above passage, which one of the following statements can be
inferred with certainty?

The coefficient of x4 in the polynomial (x - 1)3(x - 2)3 is equal to _______.

Which one of the following shapes can be used to tile (completely cover by
repeating) a flat plane, extending to infinity in all directions, without leaving any
empty spaces in between them? The copies of the shape used to tile are identical
and are not allowed to overlap.

Mr. X speaks _________ Japanese _________ Chinese.

A sum of money is to be distributed among P, Q, R, and S in the
proportion 5 : 2 : 4 : 3, respectively.
If R gets Rs. 1000 more than S, what is the share of Q (in Rs.)?

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise).
The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.
What is the shortest distance between PQ and SR (in cm)?

The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.
What is the maximum number of squares without a "hole in the interior" that can be formed within the 4 x 4 grid using the unit squares as building blocks?

An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.
If the security guard does not move around the posted location and has a 360 degree view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

Mosquitoes pose a threat to human health. Controlling mosquitoes using
chemicals may have undesired consequences. In Florida, authorities have used
genetically modified mosquitoes to control the overall mosquito population. It
remains to be seen if this novel approach has unforeseen consequences.
Which one of the following is the correct logical inference based on the
information in the above passage?

(i) 2x - 1 > 7
(ii) 2x - 9 < 1
Which one of the following expressions below satisfies the above two
inequalities?

Four points P(0, 1), Q(0, -3), R(-2, -1), and S(2, -1) represent the vertices
of a quadrilateral.
What is the area enclosed by the quadrilateral?

In a class of five students P, Q, R, S and T, only one student is known to have
copied in the exam. The disciplinary committee has investigated the situation
and recorded the statements from the students as given below.
Statement of P: R has copied in the exam.
Statement of Q: S has copied in the exam.
Statement of R: P did not copy in the exam.
Statement of S: Only one of us is telling the truth.
Statement of T: R is telling the truth.
The investigating team had authentic information that S never lies.
Based on the information given above, the person who has copied in the exam is

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.
Let X, Y and Z represent the following operations:
X: rotation of the square by 180 degree with respect to the S-Q axis.
Y: rotation of the square by 180 degree with respect to the P-R axis.
Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.
Consider the following three distinct sequences of operation applied left to right: (1) XYZZ, (2) XY, (3) ZZZZ. Which statement is correct?

Five persons P, Q, R, S and T are to be seated in a row, all facing the same
direction, but not necessarily in the same order. P and T cannot be seated at
either end of the row. P should not be seated adjacent to S. R is to be seated
at the second position from the left end of the row. The number of distinct
seating arrangements possible is:

Consider the following sentences:
(i) The number of candidates who appear for the

A digital watch X beeps every 30 seconds while watch Y beeps every 32
seconds. They beeped together at 10 AM.
The immediate next time that they will beep together is
1042 AM
Then, the value of (@-e/7 sisi
foes £4 1 Yo 5
a ee ee
The front door of Mr. X's house faces East. Mr. X leaves the house, walking
50 m straight from the back door that is situated directly opposite to the front
door. He then turns to his right, walks for another 50 m and stops. The
direction of the point Mr. X is now located at with respect to the starting point
is

If ⊕+⊙=2; ⊙+⊗=3; ⊕⊗+⊗=5; AxB=10, then the value of (A-B) is:

The front door of Mr. X's house faces East. Mr. X leaves the house, walking
50 m straight from the back door that is situated directly opposite to the front
door. He then turns to his right, walks for another 50 m and stops. The
direction of the point Mr. X is now located at with respect to the starting point
is
North-West
Organising Institute - IIT Bombay
answer: - 2/3).

Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following
options is CORRECT?
Only conclusion I is correct

A box contains 15 blue balls and 45 black balls. If 2 balls are selected
randomly, without replacement, the probability of an outcome in which the
first selected is a blue ball and the second selected is a black ball, is
16
(@) | 45
236
(C)y]1
4
@) }3
4

The ratio of the area of the inscribed circle to the area of the circumscribed
circle of an equilateral triangle is
OlR
c
alr
Oy at
1
2

Consider a square sheet of side 1 unit. The sheet is first folded along the main
diagonal. This is followed by a fold along its line of symmetry. The resulting
folded shape is again folded along its line of symmetry. The area of each face
of the final folded shape, in square units, equal to
|
Reali?
Organising Institute - IIT Bombay AREER

The world is going through the worst pandemic in the past hundred years.
The air travel industry is facing a crisis, as the resulting quarantine
requirement for travelers led to weak demand.
In relation to the first sentence above, what does the second sentence do?
Restates an idea from the first sentence.
Second sentence entirely contradicts the first sentence.

He is known for his unscrupulous ways. He always sheds _______ tears to deceive people.

Jofra Archer, the England fast bowler, is _______ than accurate.

Select the word that fits the analogy:
Build : Building :: Grow :

I do not think you know the case well enough to have opinions. Having said that, I agree with your other point.
What does the phrase "having said that" mean in the given text?

Define \([x]\) as the greatest integer less than or equal to \(x\), for each \(x \in (-\infty, \infty)\). If \(y = [x]\), then the area under \(y\) for \(x \in [1,4]\) is _______.

Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through web-based platforms in the project.
Based on the above paragraph, which of the following is correct about crowd funding?

P, Q, R and S are to be uniquely coded using α and β. If P is coded as αα and Q as αβ, then R and S, respectively, can be coded as _______.

The sum of the first n terms in the sequence 8, 88, 888, 8888, ... is _______.

Select the graph that schematically represents BOTH \(y = x^m\) and \(y = x^{1/m}\) properly in the interval \(0 \leq x \leq 1\), for integer values of \(m\), where \(m > 1\).

The bar graph shows the data of the students who appeared and passed in an examination for four schools P, Q, R and S. The average of success rates (in percentage) of these four schools is _______.

The fishermen, _______ the flood victims owed their lives, were rewarded by the government.

Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary?
1. Some who were involved in the strike were students.
2. No student was involved in the strike.
3. At least one student was involved in the strike.
4. Some who were not involved in the strike were students.

The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is ______.

Five numbers 10, 7, 5, 4 and 2 are to be arranged in a sequence from left to right following the directions given below:
1. No two odd or even numbers are next to each other.
2. The second number from the left is exactly half of the left-most number.
3. The middle number is exactly twice the right-most number.
Which is the second number from the right?

Until Iran came along, India had never been ________ in kabaddi.

Since the last one year, after a 125 basis point reduction in repo rate by the Reserve Bank of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest rates on small saving schemes to bring them on par with fixed deposit interest rates.
Which one of the following statements can be inferred from the given passage?

In a country of 1400 million population, 70% own mobile phones. Among the mobile phone owners, only 294 million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country?

The nomenclature of Hindustani music has changed over the centuries. Dhrupad styles were identified as baanis; gayaki and baaj referred to vocal and instrumental styles respectively; gharana referred to hereditary musicians from a particular lineage including disciples and grand disciples.
Which one of the following pairings is NOT correct?

Two trains started at 7 AM from the same point. The first train travelled north at 80 km/h and the second south at 100 km/h. The time at which they were 540 km apart is ______ AM.

“In ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community.”
Based on the paragraph, the prestige of a head-hunter depended upon ___________

“When she fell down the _______, she received many _______ but little help.”

The words that best fill the blanks in the above sentence are

“In spite of being warned repeatedly, he failed to correct his _________ behaviour.”

The word that best fills the blank in the above sentence is

For \(0 \le x \le 2\pi\), \(\sin x\) and \(\cos x\) are both decreasing functions in the interval ________.

The area of an equilateral triangle is √3. What is the perimeter of the triangle?

Arrange the following three-dimensional objects in the descending order of their volumes:

• (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
• (ii) A cube of side 8 cm
• (iii) A cylinder with base radius 7 cm and height 7 cm
• (iv) A sphere of radius 7 cm

An automobile travels from city A to city B and returns to city A by the same route. The
speed of the vehicle during the onward and return journeys were constant at 60 km/h and
90 km/h, respectively. What is the average speed in km/h for the entire journey?

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many
parallelograms are formed?

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was
answered correctly by 2,60,000 candidates. Both questions A and B were answered
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates.
If the number of students answering all questions correctly is the same as the number
answering none, how many candidates failed to clear the test?

In a detailed study of annual crow births in India, it was found that there was relatively no
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another
unrelated study, it was found that the revenue from cracker sales in India which remained
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006.
The solid line in the graph below refers to annual sale of crackers and the dashed line refers
to the annual crow births in India. Choose the most appropriate inference from the above
data.

The ninth and the tenth of this month are Monday and Tuesday ___

It is ___ to read this year’s textbook ___ the last year’s.

A rule states that in order to drink beer, one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking a beer. What must be checked to ensure that the rule is being followed?

Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?

500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?

“If you are looking for a history of India...” passage about rise and fall of British Raj and the cleaving of the subcontinent. Which of the following statements best reflects the author’s opinion?

Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y are married and have two children P and Q. Z is the grandfather of the daughter S of P. Further, Z and W are married and are parents of R. Which one of the following must necessarily be FALSE?

1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. Which of the following is the steepest path leaving from P?

If I were you, I ___ that laptop. It’s much too expensive.

He turned a deaf ear to my request. What does the underlined phrasal verb mean?

Choose the most appropriate set of words from the options to fill in the blanks: ___ ___ is a will, ___ is a way.

(x % of y) + (y % of x) is equivalent to ___

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these companies may differ from year to year. Year-wise annual rates of interest offered by these companies are shown by the line graph provided below. If the amounts invested in companies P and Q in 2006 are in the ratio 8:9, then the amounts received after one year as interests from companies P and Q would be in the ratio:

Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today. Which of the following can be logically inferred from the above sentences?

Fact 1: Humans are mammals. Fact 2: Some humans are engineers. Fact 3: Engineers build houses. Which can be logically inferred? I. All mammals build houses. II. Engineers are mammals. III. Some humans are not engineers.

A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?

Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath?

Apparent lifelessness ___ dormant life.

That boy from the town was a ___ in the sleepy village.

In which sentence is the underlined word used CORRECTLY?

Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true, the third statement is:

In a league of 5 teams, each team plays every other team exactly once. The total number of matches played is:

The line graph below shows the annual productivity of a set of finance companies. Based on the graph, which of the following statements is correct?

Two statements are given followed by two conclusions. Assuming the statements to be true, which conclusion(s) follow(s) logically?

In triangle PQR shown in the figure below, find the required value.

A political party orders 10,000 posters from two printing companies A and B. Of these, 4000 were ordered from company A. It is known that 20% of A’s posters and 10% of B’s posters have defects. What is the total number of defective posters?

X is the number of heads obtained in a single toss of a fair coin. T is the number of tosses required until the first head appears. Which of the following statements is CORRECT?

A student is required to demonstrate a high level of comprehension of the subject, especially in the lab sessions. Which word is closest in meaning to “comprehension”?

One of his biggest ___ was his ability to forgive.

Rajan was not happy that Sajan decided to do the work on his own. On learning this, Sajan clarified his position. What does this imply?

Given \(y = 5x^2 + 3\), the tangent at \(x = 0, y = 3\):

A foundry has a daily cost of production given by \(C = 50{,}000 + 800Q\), where \(Q\) is the number of tonnes produced per day. The cost per tonne at a production level of 100 tonnes per day is ___ Rs/tonne.

Find the odd one out: ALXV, EPVZB, ITZDF, OYEKJ

Floor arrangement puzzle with Anuj, Bhola, Chandan, Dilip, Eswar, and Faisal. Who lives on which floor?

Angles of a quadrilateral are in the ratio 3:4:5:6 giving 60°, 80°, 100°, 120°. For a triangle, the smallest angle is 2/3 of the smallest quadrilateral angle, and the largest angle is twice the smallest triangle angle. The sum of the second largest angle of the triangle and the largest angle of the quadrilateral is ___

Country X has 3 times the population of country Y. 1% of the population of X and 2% of the population of Y are taller than 6 ft. The percentage of people taller than 6 ft in the combined population is:

Based on the monthly rainfall chart for Agra over 50 years, which of the following statements is correct?

A number is as much greater than 75 as it is smaller than 117. The number is:

The professor ordered to the students to go out of the class. Which of the following parts of the sentence is grammatically incorrect?

Which word is closest in meaning to “Primeval”?

Friendship, no matter how ___ it is, has its limitations.

Which pair of words expresses a relationship similar to Medicine : Health?

\(2X + Y \leq 6\), \(X + 2Y \leq 8\), \(X \geq 0\), \(Y \geq 0\). Maximize \(f(X,Y) = 3X + 6Y\). Which point \((X,Y)\) gives the maximum?

If \(|4x - 7| = 5\) then the values of \(2|x| - |-x|\) are:

Annual expenditure (in lakhs of Rs.) of a company during 2010–2011 is shown in the table below. Which two categories have the same percentage increase?

A firm is selling its product at Rs. 60 per unit. The total cost of production is Rs. 100 and the firm is earning a total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage should the price be increased to maintain the same profit?

Abhishek is older than Savar. Savar is younger than Anshul. Which of the following conclusions is/are correct?

Which one of the following options is the closest in meaning to the word given below? Latitude

Choose the most appropriate word: “Given the seriousness of the situation that he had to face, his ___ was impressive.”

If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.

If (1.001)¹²⁵⁹ = 3.52 and (1.001)²⁰⁶² = 7.85, then (1.001)³³²¹ =

One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one is INCORRECT? “I requested that he should be given the driving test today instead of tomorrow.”

The data given in the following table summarizes the monthly budget of an average household.Category: Food (4000), Clothing (1200), Rent (2000), Savings (1500), Other expenses (1800). The approximate percentage of the monthly budget NOT spent on savings is:

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is:

Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is:

One of the legacies of the Roman legion was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the march was no less severe. No soldier was permitted to leave the column. Infringements were dealt with immediately and usually on the spot. Which statement best sums up the passage?

A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is:

Choose the word from the options given below that is most nearly opposite in meaning to the given word: Frequency

Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country’s problems had been ________ by foreign technocrats, so that to invite them to come back would be counter-productive.

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what is the total number of voters?

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena

Choose the most appropriate word from the options given below to complete the following sentence: Under ethical guidelines recently adopted by the Indian Medical Association, human genes are to be manipulated only to correct diseases for which ________ treatments are unsatisfactory.

Given that f(y) = |y| / y, and q is any non-zero real number, the value of |f(q) − f(−q)| is

Three friends, R, S and T shared toffee from a bowl. R took 1/3 of the toffees, but returned four to the bowl; S took 1/4 of what was left but returned three toffees to the bowl; T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?

The fuel consumed by a motorcycle during a journey while travelling at various speeds is indicated in the graph below.From the given data, we can conclude that the fuel consumed per kilometre was least during the lap

The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight diphtheria and tetanus were developed this way. It can be inferred from the passage that horses were

The sum of n terms of the series 4+44+444+... is

Which of the following options is the closest in meaning to the word below: Circuitous

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Unemployed : Worker

Choose the most appropriate word from the options given below to complete the following sentence: If we manage to __________ our natural resources, we would leave a better planet for our children.

Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics __________ his lack of seriousness about the subject.

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regrettably, there exist people in military establishments who think that chemical agents are useful tools for their cause.

Which of the following statements best sums up the meaning of the above passage?

If 137 + 276 = 435 how much is 731 + 672?

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1^st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
i. Hari’s age + Gita’s age > Irfan’s age + Saira’s age.
ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.
iii. There are no twins.
In what order were they born (oldest first)?

In an \(n \times n\) identity matrix, the trace equals

Gibbs free energies of a system in states 1 and 2 are denoted by \(G_1\) and \(G_2\) respectively. The system will go spontaneously from state 1 to state 2, if and only if

Flux in welding process acts as

In an ideal HCP packing, the \(c/a\) ratio is

A property that CANNOT be obtained from a tensile test is

Intensive thermodynamic variables are

In a sound casting, the last liquid to solidify is in the

An annealed plain carbon steel, showing fully pearlitic microstructure, has a carbon content of

Superalloys are

Wood is a naturally occurring