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Questions and Answers

If BACK is coded as 11312 and CAKE is coded as 51113, how will MADE be coded as?

  • 54113
  • 51413 (correct)
  • 31145
  • 13145

Select the number-pair in which the two numbers are related in the same way as are the two numbers of the following number-pair: 4 : 32

  • 8 : 248
  • 10 : 160 (correct)
  • 6 : 108
  • 5 : 62

Two different positions of the same dice are shown. Which number will be at the top if 6 is at the bottom?

  • 1 (correct)
  • 4
  • 2
  • 3

Three of the following four letter-clusters are alike in a certain way and one is different. Select the odd one out.

<p>HNLJ (D)</p> Signup and view all the answers

Select the combination of letters that when sequentially placed in the gaps of the given letter series will complete the series: ac__d__b__cbdd__a__bddb

<p>bdabc (B)</p> Signup and view all the answers

How many triangles are there in the following figure?

<p>18 (A)</p> Signup and view all the answers

Select the option in which the given figure is embedded

<p>A (C)</p> Signup and view all the answers

Select the correct mirror image of the given figure when the mirror is placed to the right of the figure.

<p>C (A)</p> Signup and view all the answers

Which Indian state passed the Maintenance of Household Registers Bill in March 2019?

<p>Assam (C)</p> Signup and view all the answers

Article ______ of the Constitution of India deals with the Uniform Civil Code.

<p>Article 44 (D)</p> Signup and view all the answers

In which city were the Special Olympics World Games 2019 inaugurated?

<p>Abu Dhabi (B)</p> Signup and view all the answers

Which of the following options represents the first working prototype of the Internet?

<p>ARPANET (B)</p> Signup and view all the answers

Which of the following was NOT one of the monarchical states that existed in the 7th and early 6th centuries BC in India?

<p>Vaishali (C)</p> Signup and view all the answers

Chandragupta I received which state in dowry upon marrying a princess from the Lichhavi clan?

<p>Pataliputra (C)</p> Signup and view all the answers

If the 8-digit number 789x531y is divisible by 72, then what is the value of 5x - 3y?

<p>2 (A)</p> Signup and view all the answers

Raju's income is 20% more than his expenditure. If his income increases by 60% and his expenditure increases by 70%, then by what percentage does his savings increase or decrease?

<p>It decreases by 10% (D)</p> Signup and view all the answers

In a geometry problem involving two circles, if angle PQ is given as 2016, what is the most likely intended angle in degrees for a standard geometric calculation?

<p>96° (C)</p> Signup and view all the answers

Two circles are tangent to each other, and the length of segment PQ is 12 cm. If 'x' represents the distance between the centers of the circles, which value of x is most plausible given typical circle configurations?

<p>12.8 (A)</p> Signup and view all the answers

Simplify the trigonometric expression: $\frac{sin\theta - 2sin^3\theta}{2cos^3\theta - cos\theta} + 1$, where $\theta ≠ 45°$.

<p>$sec^2\theta$ (A)</p> Signup and view all the answers

If a sum of money invested at 10% compound interest per annum amounts to Rs 1,623 after 2 years, what was the original sum?

<p>Rs 7200 (D)</p> Signup and view all the answers

Triangle ABC is similar to triangle DEF. The area of triangle ABC is 100 cm², and the area of triangle DEF is 49 cm². If the altitude of triangle ABC is 5 cm, what is the corresponding altitude of triangle DEF?

<p>3.5 cm (D)</p> Signup and view all the answers

Renu bought an article for Rs 1,240 and sold it at a loss of 25%. With this amount, she bought another article and sold it at a gain of 40%. What was her overall profit or loss?

<p>Profit of Rs 93 (C)</p> Signup and view all the answers

A car manufacturer's production data shows the number of cars produced of different types. Which calculation would best represent the change in production volume for type C cars from 2012 to 2015?

<p>The percentage increase in production from 2012 to 2015. (D)</p> Signup and view all the answers

A person invests a certain sum of money with an interest that compounds yearly. If they decide to change the compounding period to semi-annually, what effect does this have on the effective annual interest rate?

<p>The effective annual interest rate increases. (D)</p> Signup and view all the answers

An article with a marked price of Rs 315 is sold for Rs 288, resulting in a 4% loss. By what percentage above the cost price was the article marked?

<p>$5\frac{1}{2}$% (D)</p> Signup and view all the answers

A, B, and C have efficiencies in the ratio 4:5:3. Working together, they complete a task in 25 days. How many days will A and C take to complete 35% of the same task?

<p>15 days (C)</p> Signup and view all the answers

What percentage of the total production of type D cars over five years is the combined production of type C cars in 2013?

<p>42.8% (B)</p> Signup and view all the answers

The average weight of students in a class is 68.5 kg. Four new students with weights 72.2 kg, 70.8 kg, 70.3 kg, and 66.7 kg join, increasing the average weight by 0.3 kg. How many students were initially in the class?

<p>21 (C)</p> Signup and view all the answers

Identify the segment with the grammatical error: "She got two quick promotions in order that she has good communication skills."

<p>she has good communication skills (A)</p> Signup and view all the answers

Which word is misspelled?

<p>examplify (C)</p> Signup and view all the answers

Which of the following most closely shares the meaning of "member" in a sentence?

<p>councillor (C)</p> Signup and view all the answers

What is the value of $x$ in the following equation $\frac{5x}{3} + 7 = 12$?

<p>3 (A)</p> Signup and view all the answers

In a triangle where ∠B = 80° and ∠C = 64°, what is the measure of ∠DAK, correct to one decimal place, assuming AK is an angle bisector of ∠A?

<p>18.2° (D)</p> Signup and view all the answers

Given that 0° < θ < 90° and $cos^2θ = 3(cot^2θ – cos^2θ)$, what is the value of $(2 secθ + sinθ)^{-1}$?

<p>$2(\sqrt{3} - 1)$ (C)</p> Signup and view all the answers

If $cosθ = \frac{2p}{1+p^2}$, then what is the value of $tanθ$?

<p>$\frac{1-p^2}{2p}$ (D)</p> Signup and view all the answers

If data regarding the production of cars of type B is represented by a pie-chart, then what central angle would represent type B car production?

<p>72° (A)</p> Signup and view all the answers

If $16x^2 + 9y^2 + 4z^2 = 24(x – y + z) – 61$, what is the value of $(xy + 2z)$?

<p>1 (A)</p> Signup and view all the answers

If $x + y + z = 19$ and $xy + yz + zx = 114$, then what is the value of $\sqrt{x^3 + y^3 + z^3 - 3xyz}$?

<p>19 (D)</p> Signup and view all the answers

In triangle ABC, AD is perpendicular to BC and BE is perpendicular to AC. AD and BE intersect each other at F. If BF = AC, what is the measure of angle ABC?

<p>45° (B)</p> Signup and view all the answers

Two circles with radii 10 cm and 8 cm intersect at points P and Q. If PQ = 12cm, and the distance between their centers is x cm, the value of x is:

<p>$\sqrt{92}$ (C)</p> Signup and view all the answers

A whale died with plastic trash in its stomach. Which of the following is the most likely impact of this event on the local ecosystem?

<p>Introduction of more plastic into the food chain. (B)</p> Signup and view all the answers

The idiom 'get out of hand' means to lose control. Which of the following scenarios best illustrates the use of this idiom?

<p>A small campfire spreads rapidly due to high winds. (C)</p> Signup and view all the answers

The sentence 'I look for a better job for the last two months, but nothing is in sight' contains a grammatical error. Which revision most accurately corrects the tense?

<p>I have been looking for a better job for the last two months, but nothing is in sight. (D)</p> Signup and view all the answers

The word 'TILT' means 'slant'. Which of the following scenarios is the best example of something that is tilted?

<p>A picture hanging crookedly on a wall. (B)</p> Signup and view all the answers

Consider the following sentence: 'Scientists at Cambridge University are ________ how plants can give us sustainable energy.' Which word best fits the blank, considering the context?

<p>investigating (A)</p> Signup and view all the answers

Which of the following sentences demonstrates the correct use of the word 'native' as it relates to a person's origin?

<p>She is a native of Ireland, having been born and raised there. (B)</p> Signup and view all the answers

The sentence 'If you join this job now, it proves to be good in the long run' could be improved. Which option offers the most appropriate substitution for the underlined segment?

<p>it will prove to be good (D)</p> Signup and view all the answers

Given a series of jumbled sentences, identify the logical order in which they should be arranged to form a coherent paragraph (ABCD).

<p>The correct order must depend on the supplied sentences. (D)</p> Signup and view all the answers

Flashcards

Coding

Assigning a code to represent letters or words.

Embedded Figures

Identifying a figure within a larger image.

Odd One Out (Letter-Clusters)

Figures are alike except one.

Letter Series

Fill in the blanks to complete a repeating sequence.

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Statements and Conclusions

Deduce conclusions based on given statements.

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Dice Positions

Determining the positions of a dice

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Mirror Image

Reflects the mirror to the right.

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Paper Folding/Cutting

How a folded paper looks like unfolded.

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Article 44

Deals with the implementation of a uniform civil code across the nation.

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ARPANET

The first working prototype of the Internet.

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Divisibility by 72

If a number is divisible by 72, then it is also divisible by 8 and 9

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Income vs Expenditure

Income is 20% more than expenditure, means Income = 1.2 * Expenditure

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Chandragupta-I's Dowry

The state Chandragupta-I got in dowry from the Lichhavis was Pataliputra.

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Ancient Indian States

Vaishali was a republic. Magadha, Avanti, and Kosala were monarchical states in ancient India.

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Divisibility rule of 8

If a number is divisible by 8, then last 3 digits of the number have to be divisible by 8.

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Divisibility rule of 9

If a number is divisible by 9, then the sum of the digits of the number has to be divisible by 9.

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(sinθ−2sin³θ)/(2cos³θ−cosθ) + 1

Simplifies to tan²θ.

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Sum with CI of Rs 1,623 in 2 years at 10% p.a.

Rs 7200

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Altitude of ∆DEF if similar to ∆ABC (area 100 cm², altitude 5cm, area of DEF 49cm²)

3.5 cm

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Percentage

The ratio of one quantity to another, expressed as a percentage.

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Successive Discounts

Successive discounts are applied one after another.

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Inductive Reasoning

To make a general conclusion from specific instances.

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Deductive Reasoning

Deduction starts with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion.

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Median

The middle number in a sorted list of numbers.

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Find ∠DAK

The measure of the angle DAK, given angles B = 80° and C = 64°.

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Evaluate trig expression

Given cos²θ = 3(cot²θ – cos²θ), find the value of (2secθ + sinθ).

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Find tanθ, given cosθ

If cosθ = 2p/(1+p²), then tanθ is equal to (1-p²)/2p.

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Find (xy + 2z)

Given 16x² + 9y² + 4z² = 24 (x – y + z) – 61, the value of (xy + 2z) is 5.

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Calculate expression with x, y, z

if x + y + z = 19, xy + yz + zx = 114, then the value of √𝑥³ + 𝑦³ + 𝑧³ − 3𝑥𝑦𝑧 is 19.

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Find ∠ABC (geometry)

In ∆ABC, AD ⊥ BC and BE ⊥ AC.If BF = AC, then the measure of ∠ABC is 45°.

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Pie chart angle for type B

The angle of the sector representing the production of cars in type B.

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Common chord length

Two circles intersect at P and Q. The length of the common chord is 12 cm.

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Get out of hand

To lose control or become unmanageable.

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Native

Being native to, growing, or living naturally in a particular place.

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Tilt

To bend or lean to one side.

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Investigating

Investigating: To carry out a systematic or formal inquiry to discover and examine the facts of an incident, allegation, etc. so as to establish the truth.

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Present Perfect Continuous

Present perfect continuous tense: Indicates an action that started in the past, continues in the present.

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'If' Clause: Future Tense

Correct tense usage for future prediction with 'if'.

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Trash

Garbage or other waste.

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Marked Price vs. Cost Price

The selling price is Rs 288 after a loss of 4% on the cost price.

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Efficiency Ratio

A, B, and C's efficiencies are in the ratio 4:5:3. They complete a work together in 25 days.

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Combined Production Percentage

The combined production of type C cars in 2013 is what percentage of the total production of type D cars in five years.

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Average Weight Change

New students join a class, and the average weight increases. Find the initial number of students.

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Grammatical Error: 'In order that'

Identify the segment with a grammatical error related to the correct usage of 'in order that'.

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Contextual Fill-in

Selecting the most suitable option for the blank that fits conceptually.

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Spelling Error Identification

A word in the options is misspelt: Find the incorrect one.

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Equation Solution

Determine the numerical answer to the equation that is provided.

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Study Notes

  • To correct the equation $18 + 6 - 6 \div 3 \times 3 = 6$, the signs + and × should be interchanged
  • The logical and meaningful order of the words is: Illness, Diagnosis, Doctor, Prescription, Medicine, Recovery (4, 6, 2, 3, 1, 5)

Figure Series

  • The figure that comes next in the series is option (a)

Odd Number

  • 56 is different from the other three numbers

Coding

  • If BACK is coded as 11312 and CAKE is coded as 51113, then MADE will be coded as 51413

Number-Pair Relationship

  • The number-pair 4:32 follows the same relationship as 5:62

Venn Diagram

  • Option (d) best illustrates the relationship between Parents, Rich Persons, and Farmers

Code Language

  • If TEMPLE is written as DKOLDS, then WORSHIP will be written as OHGRQNV in that code language

Family Relation

  • V is the brother-in-law of P, since P is the father of Q, and T is the sister of Q. S's mother, T, is married to V. R is the brother of S and grandfather of P

Number Series

  • The number that will replace the question mark (?) in the series 2, 5, 11, 23, 44, ? is 77

Analogy

  • 'Action' is related to ‘Reaction' in the same way as 'Stimulus' is related to 'Response'

Embedded Figure

  • Option (a) contains the given figure

Dice Positions

  • If 6 is at the bottom, 1 will be at the top

Letter-Clusters

  • HNLJ is the odd one

Letter Series Completion

  • The correct combination of letters to complete the series is bdbca

Statement and Conclusions

  • Only conclusion III follows the statement that some cars are vehicles and no vehicle is a four-wheeler

Letter-Cluster Relationship

  • The third letter-cluster, related to DGEF in the same way as BECD is to YVXW, is WTVU

Number Set Relationship

  • The set (17, 22, 30) follows the the same relationship as the numbers of the set (7, 13, 21)

Odd Word/Letters/Number/Number Pair

  • Bull is odd compared to the other bird names

Triangles

  • There are 16 triangles

Mirror image

  • Option (a) is the mirror image of the given figure when the mirror is placed to the right of the figure

Paper Folding and Cutting

  • Option (d) shows how the paper will appear when unfolded

Word-Pair Relationship

  • The word-pair related to Heat : Sun is Ride : Car

Numbers Set

  • The set (4, 12, 22) follows the same relationship as the set (10, 18, 38)

Age Problem Solution

  • The sum of the ages of the father and the son at present is 110 years

First Biosphere Reserve

  • The Nilgiri Biosphere Reserve was the first to be established by the Government of India

Sikkim Folk Dance

  • Chu-Faat is a group folk dance of Sikkim performed in honour of Mount Khangchendzonga

Residual Powers origin

  • Powers in the Indian constitution are from Canada

Uttarakhand Pass for Pilgrims

  • Pilgrims use the Lipu Lekh pass in Uttarakhand for Kailash-Mansarovar

Allotrope of Carbon

  • Buckminsterfullerene is an allotrope of carbon

First Woman Prime Minister

  • Sirimavo Bandaranaike was the first ever female prime minister

Sugar Industry Panel

  • The Radheshyam panel suggested total decontrol of the sugar industry

Project Tiger Year

  • Project Tiger was started in 1973

SAARC First Female Secretary General

  • Fathimath Dhiyana Saeed was the first ever female secretary general of SAARC

Household Registers Bill State

  • West Bengal passed the maintenance of Household registers bill in March 2019

Maharatna Status PSU

  • BHEL was accorded the Maharatna status in February 2013

Musical Instrument

  • Chyap-Brung is the traditional musical instrument of the Limboo community of Sikkim

Mahajanapadas

  • There were 16 great powers (Mahajanpadas) during Lord Gautam Buddha's time

Strong Fruity Fragrance

  • Ethyl Acetate has a strong fruity fragrance

Controls Endocrine Glands

  • The pituitary gland controls the functioning of other endocrine glands

Ranji Trophy Winner 2017

  • Vidarbha won the Ranji Trophy Final 2017

International Air Transport Association

  • Indigo is the first Indian budget carrier to join the International Air Transport Association (IATA)

Class of the following

  • Propanal is an aldehyde

Presented during Election 2019

  • Voluntary Code of Ethics was presented to the Election Commission of India for the General Election 2019

Chalukya Dynasty Founder

  • Pulakesin I was the founder of the Chalukya dynasty

Uniform Civil Code Article

  • Article 44 of the Constitution of India deals with the Uniform Civil Code

Special Olympics World Games 2019

  • The special Olympics world Games 2019 was inaugurated at Abu dhabi

First prototype of Internet

  • ARPANET is the first working prototype of Internet

Not Monachial in India

  • Avanti is not the state that existed in the 7th and early 6th centuries BC in India

Chandragupta-I

  • Pataliputra got in dowry from the Lichhavis

(5-3)

  • 0

Ratio income and expenditure

  • The income It increases by 10%

DAK formula

  • 16°

Tane formula

  • The tangent Formula (b)

Angle

  • 96°

Compound interest formula

  • 5000

Area of triangles

  • 3.5 cm

Profit

  • 6%

Sheet calculation

    1. 4

Total production

    1. 5

Student weight total

  • 16

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