SSC CHSL Previous Paper 52 (Held On: 25 March 2018 Shift 3) (Previous Year Paper)

The correct answer is frothiest

Key Points

• Frothiest - full of or covered with a mass of small bubbles (froth)
• It is the superlative form of the adjective frothy, meaning composed of many small air bubbles (froth)
  

Additional Information

• Degrees of comparisons of the adjective 'frothy':
• Frothy (Positive), Frothier (Comparative), Frothiest (Superlative)

Thus the correct answer is Option 2

The correct answer is BCA

Key Points

• The paragraph starts with **'people used to preserve'. Hence the next sentence should say what they used to preserve (noun)
• 'A' starts with the noun **'companionship', 'B' starts with the noun 'letters', and 'C' starts with the preposition 'of', it can be either 'A' or 'B'
• Among 'A' and 'B', if we choose 'A', both the options ACB and ABC would render the paragraph grammatically absurd and structurally meaningless. This is because both A-B and A-C in this order are grammatically incompatible phrases
• However, if we choose 'B', while the order BAC gives a grammatically erratic paragraph due to B-A in that order being grammatically incompatible phrases, the order BCA gives a grammatically and semantically coherent paragraph

Thus the correct answer is: People used to preserve letters for years as these humble pieces of paper afforded companionship in absentia

The correct answer is no improvement

Key Points

• Auxiliary verbs like is, am, are, was, were that state a fact are grammatically incompatible with the past participle of the verb 'to be', i.e., been
• This eliminates Options 2 and 3
• Option 1, 'have been', is used to denote plural subjects and thus violates the subject-verb agreement
• Been, when used with the root verb 'has', makes up the (Singular) Present Perfect Tense indicating something which has occurred as a phenomenon (here, the art of movement being culture-driven)

Thus the correct sentence is: The art of movement has been, in complicated ways, culture-driven.

The correct answer is were identified

Key Points

• Let's look at each option:
• is identified: Since the subject cyclones is plural, the auxiliary verb 'is' which denotes a singular noun, would form a grammatically incorrect sentence
• were identify: This is a grammatically incorrect phrase as with the auxiliary verb 'were', past tense of the root verb 'identify', i.e., 'identified' should be used
• were identified: This forms a grammatically correct Simple Past Tense with plural subject-verb agreement

Thus the correct sentence is: Cyclones were identified by the year of their occurrence, and remembered for the devastation they caused.​

The correct answer is Depict

Key Points

• Let's look at the meaning of each of the options given:

Thus the correct answer is Option 2

The correct answer is Chutzpah

Key Points

• Let's examine the meaning of each of the words given:

Thus the correct answer is Option 4

The correct answer is An imaginary utopian place or situation

Key Points

• An idiom is an expression whose meaning is different from the meanings of the individual words in it
• Let's look at some similar idioms as above and their respective meanings

Thus the correct answer is Option 1

Additional Information

The word 'utopian' means modelled on or aiming for a state in which everything is perfect; idealistic.

The correct answer is Things located diagonally opposite each other.

Key Points

• Kitty-corner - In a diagonal position from, especially outward from the corner of a square. A variant of the more technical term "cater-corner," with "cater" meaning "to set or move diagonally." 
• Example- "Thankfully the daycare is kitty-corner to my office, so dropping the kids off in the morning is really easy."

The correct answer is not

Key Points

• On looking at the above-given passage, we observe that it is based upon how a change in some organisation may create problems or difficulties for presently going activities and impacts both leaders and followers.
• Also, it describes that the most powerful leader gets most of the benefits through such changes.
• Since the starter of the passage has the main verb is, so to make the statement negative, it can only go with not

Thus the complete sentence is: Change is more often than not the trigger for struggles in the leadership arena.

The correct answer is in

Key Points

• Word 'usher' means you show them where they should go, often by going with them.
• And, changes are made in the organisation.
• Hence, the phrase is 'usher in'

Thus the complete sentence is: Leaders usher in organisational change,

The correct answer is an

Key Points

• Since, the blank is followed by a vowel sound, hence, article an is appropriate.

Thus the complete sentence is: With various factors in the mix, an imbalance is created that impacts leaders and followers in multiple and varying ways.

• Don't put 'the' because the passage has not mentioned this 'imbalance' earlier or it is not about a particular imbalance.

The correct answer is ironically

Key Points

• The sentence goes on to assert that the leader gets the roughest edge
• To express in what way or manner he/she gets the roughest edge, we use the adverb 'ironically' which means 'happening in a way contrary to what is expected, and typically causing wry amusement because of this'

Thus the correct phrase is:  Ironically, the leader gets the roughest edge...

The correct answer is powerful

Key Points

• Since, 'most' is used before the blank to describe the leader, it should be filled with an adjective, which is, powerful. 
  

Thus the correct phrase is: *"...*as he is seemingly the most powerful one."

The correct answer is Auxiliary

Key Points

• The word auxiliary is correctly spelt. It means providing supplementary or additional help and support.

The correct answer is The lawyer commanded them to call the witness

​

Key Points

• Since the lawyer is giving a command of calling the witness, we use the word 'commanded' while converting from direct to indirect speech
• The inverted commas and comma is replaced by the word 'commanded' and this verb is connected with the infinitive 'to' to indicate the object of the verb

The correct answer is The homework should be checked by the teacher

Key Points

• When changing from Active to Passive, the subject (teacher​) and object (homework) are interchanged
• The present form of the verb (check) is changed to past participle form (be + checked)
• The relation between the action and the doer is represented by the preposition 'by'
• Thus the structure is: Object(the homework) + modal verb (should) + be + V3(checked) + by + subject (the teacher).

The correct answer is QRP

Key Points

• Clearly, a sentence does not end with a conjunction that or preposition in
• Hence, options 3 and 4 are eliminated
• Since the starting sentence starts with describing the noun 'biosphere' and ends with the preposition like,  it should be followed by a similar noun/pronoun

Thus the correctly ordered sentence is: The whole biosphere, like the individual organisms that live inside it, exists in a chemically dynamic state

The correct answer is Prejudiced

Key Points

• The word that is opposite in meaning to "Objective" is: Prejudiced
• "Objective" refers to being unbiased, impartial, or based on facts and evidence rather than personal opinions or prejudices. It indicates a neutral and fair approach to evaluating or assessing something.
• On the other hand, "Prejudiced" means having preconceived opinions or biases that may influence one's judgment or decision-making process. It signifies a lack of objectivity and fairness, as personal biases can cloud one's judgment.
• Therefore, option 4) Prejudiced is the correct choice as it is opposite in meaning to "Objective."

Additional Information

• Fair
• This option is not the opposite of "Objective." While fairness can be a desirable quality associated with objectivity, it does not inherently mean the opposite. One can be fair and objective at the same time.
• Detached
• This option is not the opposite of "Objective." "Detached" refers to being impartial or not emotionally involved, which can align with objectivity. Both detached and objective suggest a lack of personal bias or attachment to a particular outcome.
• Straight
• This option is not the opposite of "Objective." "Straight" typically refers to something that is direct, honest, or without deviation. It does not inherently represent the opposite of being objective.

The correct answer is Honesty

Key Points

Let's look at the meaning of the marked and correct option-

• Guile- Insidious cunning in attaining a goal; crafty or artful deception; cunning, ploys
• Honesty- the quality of being truthful or honest; uprightness, honour, integrity

Hence, from the above meanings, we find that both options i.e. Guile and Honesty are opposite in meaning. 

Let's look at the meaning of other given options-

• Cleverness- ability to understand and learn quickly and easily
• Suspicious- having or showing a cautious distrust of someone or something
• Dishonesty- deceitfulness shown in someone's character or behaviour

The correct answer is Strict

Key Points

• The meaning of 'Austerity' - sternness or severity of manner or attitude; strict; intolerant
• 'Tolerant' and 'kindness' are the opposites
• 'Moist' means something which has water content

The correct answer is 'Practical'

Key Points

• Let's first find out the meaning of 'empirical':- based on, concerned with, or verifiable by observation or experience rather than theory or pure logic; verified; actual; real; factual; practical.
• Now, find the meaning of 'Hypothetical' - supposed but not necessarily real or true; theoretical; unproved
• Clearly, the word practical is the most similar meaning to the given word.

The correct answer is have

Key Points

• Since subject 'dogs' is a plural noun, hence according to the sub-verb agreement, the plural verb should be used. Thus, options 2 & 3 are incorrect
• And, modal verb does not come directly with v3 form. Hence, option 4 is also incorrect.

Thus the correct sentence is: Many lost dogs have been given back to their owners.

The correct answer is 'neither'

Key Points

• 'Neither' as an adverb, is used to introduce a further negative statement, e.g., "He didn't remember, and neither did I"
• 'Also' means 'in addition to'. Using 'also' here is grammatically incorrect as it is not negative in nature
• 'Even' means 'including...'. Using 'even' here is grammatically incorrect as it is not negative in nature
• 'So' means 'thus, as a result,...'. Using 'so' here is grammatically incorrect as it is not negative in nature and in fact, tends to give contradictory meaning
  

Complete Sentence: She does not agree, and neither does Anita.

The correct answer is '2'

Key Points

• Since modal verb may is used in part 2 and then followed by plural verb hurt and connected with the conjunction or,  the modal verb applies on second verb mistreat also.
• Hence, replace mistreats with mistreat

Correct sentence - It is easy to fall victim not only to those who may hurt or mistreat us, but also to our own anger.

The correct answer is '1'

Key Points

• Adjective Each is followed by a singular noun and a singular verb.
• Example- Each book were written with a pen or a brush. (wrong)
  

                 Each book was written with a pen or a brush. (right)

• Thus, replace aspire with aspires.
  

Correct sentence - Each nation aspires to do well, but there are glaring economical inequalities among them.

Here, Pattern is such that first word defines the feelings, position, possession etc. and the second word is a colour which defines the first word i.e.

Sorrow : Black → Sorrow is a feeling or state of mind which is indicates by black colour.

Red : Green → It doesn’t follow the pattern as colour is given first.

Rank : Star → Rank is position of any individual which is indicated by stars.

Danger : Green → Danger is a state or situation which is indicated by red colour not green.

Pink : Pencil → It doesn’t follow the pattern as colour is given first.

Hence, Rank : Star is the correct alternative.

Here the pattern is such that the 2^nd number is 23 more than the 1^st number i.e.

43 : 66 → 43 + 23 = 66.

Similarly, 91 : ? → 91 + 23 = 114.

Thus, 114 is the correct alternative.

The pattern here is as follows,

Therefore, HPS is the correct answer.

Brain, Liver and Lungs are the internal body organs which cannot be seen from outside in a human body whereas Eyes are the body part which can be seen from outside in a human body and is an external body organ.

Thus, Eyes is the odd one.

Out of the given options, 43 – 46 is odd one because in all other options 2nd term is 5 more than the 1st term i.e.

61 – 66 → 61 + 5 = 66

41 – 46 → 41 + 5 = 46

32 – 37 → 32 + 5 = 37

But in 43 – 46 → 43 + 5 = 48 which is not equal to 46.

Thus, 43 – 46 is odd one.

Here, it follows a pattern of –4 between two consecutive characters as shown below:

Hence, ZVQM is the odd one.

The dictionary sequence is :

 Drainer → Draining → Dramatic → Drank → Draught.

Thus, 21453 will be the correct sequence.

The relation between the numbers is as follows,

56 + (14 × 1) = 56 + 14 = 70

70 + (14 × 2) = 70 + 28 = 98

98 + (14 × 3) = 98 + 42 = 140

140 + (14 × 4) = 140 + 56 = 196

196 + (14 × 5) = 196 + 70 = 266

Hence, the next number is 266.

The pattern is as follows,

Hence, the next term is WA.

The diagram below depicts the meaning of the symbols used in figure.

According to the text in the diagram,

Hence, Manisha is the daughter of that man.

Let’s check each option,

1. TUNE → can be formed as UNIVERSITY.

2. UNTIL → cannot be formed as there is no ‘L’ in UNIVERSITY.

3. VERY → can be formed as UNIVERSITY.

4. TRY → can be formed as UNIVERSITY.

Hence, UNTIL can’t be formed from word UNIVERSITY.

All the letters of the word are reversed first and then the reversed letters are coded by replacing the letter by its opposite letter in alphabetical order i.e. A is replaced by Z, B by Y, C by X D by W and so on as shown in the figure below: 

Thus,

Hence, BPHRI is the correct alternative.

The given equation is: 15 – 12 + 5 × 9 ÷ 12 = ?

Here,

'-' → '×',

'÷' → ' + ',

' + ' → '÷'

 '×' → '-'.

So let’s replace the sign in the above equation.

15 – 12 + 5 × 9 ÷ 12 → 15 × 12 ÷ 5 – 9 + 12 = 36 + 3 = 39

Hence, 39 is the correct alternative.

The given equation is : 5 – 16 × 30 ÷ 10 + 4 = 49

Let’s check each option,

1. – and + → 5 + 16 × 30 ÷ 10 – 4 = 49 = 49

2. ÷ and × → 5 – 16 ÷ 30 × 10 + 4 = 3.66 ≠ 49

3. × and – → 5 × 16 – 30 ÷ 10 + 4 = 81 ≠ 49

4. ÷ and – → 5 ÷ 16 × 30 – 10 + 4 = 3.375 ≠ 49

Hence, by interchanging – and + the equation will be correct.

The pattern here is as follows, two numbers are given separated by ‘&’. We get the answer by multiplying the difference of the two numbers by 2.

Let A and B are two numbers such that A&B then

A&B = (A – B) × 2 i.e.

13&8 = (13 – 8) × 2 = 5 × 2 = 10

11&6 = (11 – 6) × 2 = 5 × 2 = 10

17&4 = (17 – 4) × 2 = 13 × 2 = 26

Similarly, 15&1 = (15 – 1) × 2 = 14 × 2 = 28.

Hence, 28 is the correct alternative.

The pattern here is the letter ‘C’ is shifting its position one step towards its right in every step i.e.

CABABABAB, ACBABABAB, ABCABABAB, ABACBABAB, ABABCABAB, ABABACBAB

Hence, ABABACBAB is the correct alternative.

The diagram below shows the path followed by the villager,

Clearly, we can see that the endpoint is 5 km in the east direction from his starting point.

Consider the following least possible Venn diagram,

Conclusions:

I. No cables are coils → False (It is possible but not definite).

II. Some coils are cables → False (It is possible but not definite).

Hence, conclusion I and II forms complementary pair.

Thus, either conclusion I and II follows.

Here, Square represents Asians, Circle represents Illustrators and Triangle represents Writers.

Clearly, Asians who are either Illustrators or Writers or both is the intersection of square and circle, square and triangle and intersection of all three square, triangle and circle i.e. BCF

The pattern is as follows,

Hence, the next term is WJS.

The relation between the numbers is as follows,

32 + 4 = 36

36 + (4 + 2) = 36 + 6 = 42

42 + (6 + 2) = 42 + 8 = 50

50 + (8 + 2) = 50 + 10 = 60

60 + (10 + 2) = 60 + 12 = 72

Hence, the next number is 72.

Out of the given options, (7, 21, 15) is odd one because in all other options 2^nd number is one more than thrice the 1^st number and 3^rd number is one more than twice the 1^st number i.e.

(6, 19, 13) → 6 × 3 + 1 = 19 and 6 × 2 + 1 = 13

(18, 55, 37) → 18 × 3 + 1 = 55 and 18 × 2 + 1 = 37

(15, 46, 31) → 15 × 3 + 1 = 46 and 15 × 2 + 1 = 31

But in (7, 21, 15) → 7 × 3 + 1 = 22 ≠ 21 and 7 × 2 + 1 = 15.

Thus, (7, 21, 15) is odd one.

The mirror image of the question will be:

Hence, we can say that option 3 is the correct mirror image of the given question.

If we consider faces with “

” as centre and fold its surrounding faces inside,

we find that face with “

” and “

” are opposite to each other,

faces with “

” and “

” are opposite to each other

and faces with “

” and “

” are opposite to each other.

Here, the cube in option 2 of the answer figure cannot be made based on the unfolded cube in the question because faces with “

” and “

” are opposite to each other which is shown adjacent in option 2.

Hence, option 2 is the correct alternative.

Let’s check all the options,

1. 23, 89, 43, 78 → HWHY

2. 31, 66, 42, 95 → GQES

3. 34, 67, 57, 95 → ANTS

4. 22, 89, 13, 88 → GWCR

Thus, the correct option is 34, 67, 57, 95.

Calculation:

(82)¹⁰² + (183)¹⁰³

Let’s take unit digit of both the no. with their powers

(2)¹⁰² + (3)¹⁰³

The power cycle of 2 and 3 is 4

Now divide their powers by 4 and take their remainder.

102 ÷ 4 then remainder = 2                                         

103 ÷ 4 then remainder = 3

Now use these remainder as their power.

(2)² + (3)³ = 4 + 27 = 31

∴ Unit digit of given equation is = 1

Calculation:

⇒ $\sqrt {5\sqrt {5\sqrt {5\sqrt 5 } }}~$

$\Rightarrow \sqrt {5\sqrt {5\sqrt {5 × {5^{1/2}}} } } ;$

⇒ $\sqrt {5\sqrt {5\sqrt {{5^{3/2}}} } }$

$\Rightarrow\sqrt {5\sqrt {5 × {5^{\frac{3}{2}; × \frac{1}{2}}}} }$

⇒ $\sqrt {5\sqrt {{5^{\frac{7}{4}}}} }$

$\Rightarrow \sqrt {5 × {5^{\frac{7}{4}; × \frac{1}{2}}}}$

⇒ $\sqrt {{5^{\frac{{15}}{8};}}}$

⇒ 5^{(15/8) × (1/2)} = 5^15/16

∴ The correct answer is 515/16.

Given:

√y = √4 - √6

Formula used:

(a - b)² = a² + b² - 2ab

Calculation:

According to the question:

⇒ √y = √4 - √6

Squaring both side of the equation:

⇒ (√y)² = (√4 - √6)²

⇒ y = (√4)² + (√6)² – 2 × √4 × √6 = 4 + 6 – 4√6

⇒ y = 10 - 4√6

Squaring both side of the equation again:

⇒ y² = (10 - 4√6)² 

⇒  y2 = (10)² + (4√6)² – 2 × 10 × 4√6

⇒ y2 = 100 + 96 – 80√6

⇒ y² = 196 - 80√6

We have to find value of y² - 20y + 12 so put the value of y and y² in this eq.

⇒ y2 - 20y + 12

⇒ 196 – 80√6 – 20 (10 – 4√6) + 12

⇒ 196 - 80√6 – 200 + 80√6 + 12

⇒ 208 - 200 = 8

∴ The correct answer is 8.

Given:

3x/y = 4

Calculation:

From the question:

⇒ 3x/y = 4

⇒ 3x = 4y   -------(1)

Minimum value of 3x + 4y,

⇒ 3x + 3x = 6x    (From eq. 1)

Since x is a positive integer,

So the minimum value of x can be 1, but this make the value of y 0.75

If x is 2, y will be 1.5

If x is 3, y will be 2.25

If x is 4, y will be 3, This satisfies the given condition

∴ Minimum value of 3x + 4y = 24

Given:

Radius of 1st circle = 4 cm

Radius of 2nd circle = 5 cm

Distance between the two centres = 5 cm. 

Calculation:

Sum of radius of both circles = 4 + 5 = 9 cm

Distance between the centres = 5 cm

If the Distance between the centres < Sum of radius then no. of tangents = 2

If the Distance between the centres = Sum of radius then no. of tangents = 3

If the Distance between the centres > Sum of radius then no. of tangents = 4

In this case:

Distance between the centres = 5 cm

Sum of radius of both circles = 9 cm

The Distance between the centres < Sum of radius

So, number of tangents = 2

∴ The correct answer is 2.

Given:

Distance between the centre of two circles = √10 cm

Radii of two circles is 5 cm and 6 cm

Formula used:

Length of direct common tangent = √((Distance between the centers)2 – (Difference of radius)2)

Calculation:

Length of direct common tangent = √((Distance between the centers)² – (Difference of radius)²)

Length of tangent = √((√10)² - (6 - 5)²)= √(10 – 1) = √9 = 3 cm

∴ Length of direct common tangent is 3 cm

Additional Information

Direct Tangent/Transverse Tangent

In a given pair of circles, there are two types of tangents.

The direct tangents and the cross (or transverse) tangents.

In the figure,

AB and CD are the direct tangents and EH and GF are the transverse tangents.

When two circles of radii r₁ and r₂ have their centres at a distance d.

Length of direct common tangent is $\% MathType!MTEF!2!1!+- \% feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn \% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr \% 4rNCHbGeaGqiFGI8qiVeYlb91rFfpec8Eeeu0xXdbba9frFj0-OqFf \% ea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs0dXdbPYxe9vr0-vr \% 0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaamaakaaabaqefe \% KCPfgBaGqbaiaa-rgadaahaaWcbeqaaiaa-jdaaaGccaWFTaWaaeWa \% aeaacaWFYbWaaSbaaSqaaiaa-fdaaeqaaOGaa8xlaiaa-jhadaWgaa \% WcbaGaa8NmaaqabaaakiaawIcacaGLPaaadaahaaWcbeqaaiaa-jda \% aaaabeaaaaa!42DB! \sqrt {{d^2} - {{\left( {{r_1} - {r_2}} \right)}^2}}$

Length of transverse tangent is $\% MathType!MTEF!2!1!+- \% feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn \% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr \% 4rNCHbGeaGqiFGI8qiVeYlb91rFfpec8Eeeu0xXdbba9frFj0-OqFf \% ea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs0dXdbPYxe9vr0-vr \% 0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaamaakaaabaqefe \% KCPfgBaGqbaiaa-rgadaahaaWcbeqaaiaa-jdaaaGccaWFTaWaaeWa \% aeaacaWFYbWaaSbaaSqaaiaa-fdaaeqaaOGaa83kaiaa-jhadaWgaa \% WcbaGaa8NmaaqabaaakiaawIcacaGLPaaadaahaaWcbeqaaiaa-jda \% aaaabeaaaaa!42D9! \sqrt {{d^2} - {{\left( {{r_1} + {r_2}} \right)}^2}}$

Given:

X is 60% more than Y

Calculation:

Let y = 100

⇒ x = 160% of y

⇒ 160/100 × 100

⇒ 160

Required % = y/x × 100

⇒ 100/160 × 100

⇒ 62.5% 

∴ The answer is 62.5%.

Given:

Expenditure : Saving = 6 : 1

Rahul’s income = Rs.42000

Concept used:

Income = expenditure + saving

Calculation:

Income = Expenditure + savings

⇒ 6 + 1 = 7 units = 42000

⇒ 1 unit = 6000

Expenditure = 6 units = 6 × 6000 = Rs.36000 

∴ The correct answer is Rs.36000.

Given:

Investment ratio:

Aman : Kamal : Ratan = 12 : 4 : 3

Profit ratio:

Aman : Kamal : Ratan = 3 : 16 : 9

Concept used:

Ratio of their profit = Ratio of their investments × time

Calculation:

Let Aman, Kamal and Ratan invest their money for time t₁, t₂ and t₃ respectively.

Ratio of their profit = Ratio of their investments × time

⇒ 3 : 16 : 9 = 12 × t₁ : 4 × t₂ : 3 × t₃

Now we take two ratios to simplify.

⇒ 3/16 = (12 × t₁)/(4 × t₂)

⇒ t₁/t₂ = 1/16

Now we take two other ratios to simplify.

⇒ 16/9 = (4 × t₂)/(3 × t₃)

⇒ t₂/t₃ = 4/3

⇒ t₁ : t₂ = 1 : 16      ----(1)

⇒ t₂ : t₃ = 4 : 3       ----(2)

To make t₂ equal, we multiply eq. 2 with 4

⇒ t₂ : t₃ = (4 : 3) × 4 = 16 : 12

⇒ t₁ : t₂ : t₃ = 1 : 16 : 12

∴ The correct answer is 1 : 16 : 12.

Given:

Average marks of Suman in first 3 subjects = 81

Average marks of Suman in last 3 subjects = 74

Marks in the third subject = 65

Concept used:

Sum of subjects = average of subjects × number of subjects

Calculation:

Let the five subjects are a, b, c, d and e

Average marks in first three subjects = 81

⇒ (a + b + c)/3 = 81

⇒ a + b + c = 243

Average marks in last three subjects = 74

⇒ (c + d + e)/3 = 74

⇒ c + d + e = 222

⇒ 65 + d + e = 222

⇒ d + e = 222 – 65 = 157

Average marks of suman in all sub. = (a + b + c + d + e)/5 = (243 + 157)/5

Average marks in total subjects = 400/5 = 80

∴ The correct answer is 80.

Given:

A certain sum of money becomes double of itself in 5 years

Calculation:

A amount is doubled when it gets the same amount as interest.

So if we have to make money 16 times then its interest would be 15 times.

Time taken to 1 time interest = 5 years

Time taken to get 15 times interest = 15 × 5 = 75 years

∴ The correct answer is 75 years.

Formula used:

If a certain sum become n times of itself in t years at rate r% simple interest, then

⇒ (n - 1) = (r × t)/100

Calculation:

According to the question:

⇒ (n - 1) = (r × t)/100

⇒ (2 - 1) = (r × 5)/100

⇒ r = 20%

Now,

From the question:

⇒ (n - 1) = (r × t)/100

⇒ (16 - 1) = (20 × t)/100

⇒ 15 = t/5

⇒ t = 75 years.

∴ The correct answer is 75 years.

Given:

Pankaj's Loss% = 10%

Calculation:

Let the C.P of the trouser = 100 units

According to the question:  

S.P of trouser = 90% of 100

⇒ 90/100 × 100 = 90 units

New C.P of trouser = 20% less price of old C.P

⇒ 80% of old 100 = 80 units

New S.P = 115% of new C.P.

⇒ 115/100 × 80 = 92 units

⇒ New S.P – Old S.P = Rs. 9

⇒ 92 – 90 = 2 units = Rs. 9

⇒ 1 unit = Rs. 4.5

⇒ 100 units = Rs. 4.5 × 100 = Rs. 450

∴ The correct answer is Rs. 450.

Given:

M.P : S.P = 14 : 11

Calculation:

Discount % = (M.P – S.P)/(M.P) × 100

Discount % = (14 – 11)/14 × 100 = 3/14 × 100

Discount % = 21.42%

∴ The correct answer is 21.42%.

Calculation:

⇒ (√23 – √21), (√19 – √17), (√21 – √19)

$\Rightarrow \left( {\sqrt {23} -\sqrt {21} } \right) \times \frac{{\left( {\sqrt {23} + \sqrt {21} } \right);}}{{\left( {\sqrt {23} + \sqrt {21} } \right)}} = \frac{{{{\left( {\sqrt {23} ;} \right)}^2} - {{\left( {\sqrt {21} } \right)}^2};}}{{\left( {\sqrt {23} + \sqrt {21} } \right)}} = \frac{{2;}}{{\left( {\sqrt {23} + \sqrt {21} } \right)}}$

$\Rightarrow \left( {\sqrt {19} -\sqrt {17} } \right) \times \frac{{\left( {\sqrt {19} + \sqrt {17} } \right);}}{{\left( {\sqrt {19} + \sqrt {17} } \right)}} = \frac{{{{\left( {\sqrt {19} ;} \right)}^2} - {{\left( {\sqrt {17} } \right)}^2};}}{{\left( {\sqrt {19} + \sqrt {17} } \right)}} = \frac{{2;}}{{\left( {\sqrt {19} + \sqrt {17} } \right)}}$

$\Rightarrow \left( {\sqrt {21} -\sqrt {19} } \right) \times \frac{{\left( {\sqrt {21} + \sqrt {19} } \right)}}{{\left( {\sqrt {21} + \sqrt {19} } \right)}} = \frac{{{{\left( {\sqrt {21} ;} \right)}^2} - {{\left( {\sqrt {19} } \right)}^2};}}{{\left( {\sqrt {21} + \sqrt {19} } \right)}} = \frac{{2;}}{{\left( {\sqrt {21} + \sqrt {19} } \right)}}$

If the numerator is same then the no. divided by smallest denominator is largest

So, the decreasing order is (√19 – √17) > (√21 – √19) > (√23 – √21)

∴ The correct option is 3.

Given:

X and Y can complete a work = 5 days

Y and Z can complete the work = 6 days

Z and X can complete the work = 15/2 days

Calculation:

Time taken by X + Y to complete a work = 5 days

Time taken by Y + Z to complete a work = 6 days

Time taken by Z + X to complete a work = 15/2 days

Total work = LCM of (5, 6 and 15/2) = 30 units

Efficiency of X + Y together = 30/5 = 6 units/day

Efficiency of Y + Z together = 30/6 = 5 units/day

Efficiency of Z + X together = 30/(15/2) = 4 units/day

Efficiency of X + Y + Z together:

⇒ 2(X + Y + Z) = 6 + 5 + 4 = 15 units/day

X + Y + Z = 15/2 = 7.5 units/day

Total time taken by X + Y + Z together to complete the work = 30/7.5 = 4 days

∴ The correct answer is 4 days.

Given:

Distance between L & M = 180 km

Formula used:

Distance = relative speed × time

Calculation:

Let the speed of slow train is 'S' km/h then speed of fast train is (S + 10) km/h

Relative speed × time = distance

⇒ (S + S + 10) × 9 = 180

⇒ S + S + 10 = 180/9

⇒ 2S + 10 = 20

⇒ 2S = 20 – 10 = 10

⇒ S = 10/2 = 5 km/h

∴ The correct answer is 5 km/h.

Calculation:

As shown in the pie chart, the value of Prunes is 950 lakhs which is more than all other dry fruits.

∴ The correct answer is Prunes.

Calculation:

Total value = Value of (Raisins + Almonds + Cashews + Pistachios + Dates + Prunes + Walnuts)

Total value = 600 + 800 + 550 + 300 + 400 + 950 + 900

So, Total value = 4500

∴ The correct answer is 4500.

Calculation:

The central angle of the sector representing the annual production of dates

⇒ 4500 units = 360° 

⇒ 1 unit = 360° /4500

⇒ 400 units = (360° /4500) × 400 = 32°

∴ The correct answer is 32°.

Given:

The average value of almonds = 800 Rs/kg

Number of Almonds = 800 lakh

Calculation:

The average value of almonds = 800 Rs/kg

∴ Total production of almonds = (Total value of almonds)/(Average value of almonds) = (800 × 100000)/800 = 100000

∴ Total production of almonds  = 100000kg

Given:

Length of rectangle = 10 cm

Diagonal of rectangle = 26 cm

Formula used:

(Diagonal)2 = (length)2 + (Breadth)2

Calculation:

L = 10 cm, D = 26 cm

⇒ D² = L² + B²

⇒ 26² = 10² + B²

⇒ B² = 676 – 100 = 576

⇒ B² = 576

⇒ B = 24 cm

∴ The correct answer is 24 cm.

Given:

Perimeter of semi-circle = 144 cm

Formula used:

Perimeter of semi-circle = r × (π + 2) 

Calculation:

⇒ r × (π + 2) = Perimeter of semi-circle

⇒ r × (22/7 + 2) = 144

⇒ 36/7 × r = 144

⇒ r = 4 × 7 = 28 cm

∴ The correct answer is 28 cm.

Given:

Diameter = 21 cm

Height = 10 cm

Formula used:

Curved Surface area = 2 × πrh

Calculation:

Curved Surface area =  2 × πrh

Curved Surface area = 2 × 22/7 × 21/2 × 10

Curved Surface area = 22 × 3 × 10 = 660 cm²

∴ The correct answer is 660 cm2.

Formula used:

sec30o = 2/√3

Calculation:

From the question:

⇒ 1/2 – sec30^o

⇒ 1/2 – 2/√3

⇒ (√3 - 4) /2√3

∴ The correct answer is (√3 - 4) /2√3.

Given:

∠B = 90°

Sec A = 25/7; AB = 14 cm

Calculation:

Sec A = 25/7 = AC/AB

⇒ 25/7 = AC/14

⇒ AC = 50 Cm

⇒ BC² = AC² – AB²

⇒ BC² = 50² – 14² = 2500 – 196

⇒ BC² = 2304

⇒ BC = 48

∴ The correct answer is 48 cm.

The Theory of Wages wrote by J R Hicks, is a classic microeconomics statement of wage determination in competitive markets.

Other books by Hicks are:

• A revision of demand theory
• A theory of economic history
• A market theory of Money

At present, there are 9 SEBI listed stock exchanges.

Name of all 9 Stock Exchanges listed with SEBI:

1. Calcutta Stock Exchange Ltd.
2. India International Exchange (India INX)
3. Indian Commodity Exchange Limited
4. Metropolitan Stock Exchange of India Ltd.
5. Multi Commodity Exchange of India Ltd.
6. National Commodity & Derivatives Exchange Ltd.
7. National Stock Exchange of India Ltd.
8. NSE IFSC Ltd.
9. BSE Ltd.

SEBI is the regulator for the security market in India. It was established in 1988 and was given statutory powers in 1992 through SEBI Act, 1992.

SEBI’s present chairman is Ajay Tyagi.

Krishna III was the last great ruler of Rashtrakuta’s.

• The battle between Chola state and Rashtrakutta was fought in 949 CE between Rajaditya (Chola king) and Krishna III (Rashtrakuta king).
• The battle resulted in the defeat of the Cholas and death of Rajaditya.

The Battle of Buxar was fought on 22-23 October 1764

• It was fought between the forces under the command of the British East India Company led by Hector Munro and the combined armies of Mir Qasim, Nawab of Bengal, the Nawabof Awadh, and the Mughal Emperor Shah Alam.
• The combined armies of Mughals, Awadh, and Mir Qasim were defeated by the British army.
• The Treaty of Allahabad was signed after the Battle of Buxar.

Soo Canals the two ship canals linking Lakes Superior and Huron.

• There is a canal on the Canadian and on the US side of the rapids of the St Mary's River
• Soo Canal or Soo Locks connects Lake Superior to LakeHuron.

The correct answer is Kerala.

Key Points

• The Idukki Dam is a double curvature arch dam constructed across the Periyar River in a narrow gorge between two granite hills locally known as Kuravan and Kurathi in Kerala, India. 
• It is one of the highest arch dams in Asia.
• It is constructed and owned by the Kerala State Electricity Board.
• It supports a 780 MW hydroelectric power station in Moolamattom, which started generating power on 4 October 1975.
• The dam type is concrete, double curvature parabolic, thin arc dam.

Additional Information

• There are six schools of Hindu philosophy namely
• Sankhya, Yoga, Nyaya, Vaisheshika, Mimamsa and Vedanta.

Bangladesh signed a deal with India in the presence of Finance Minister Arun Jaitley and his counterpart A.M.A. Muhith.

• 17 development projects had been identified under the deal. Setting up new economic zones for Indians and other investors.
• Bangladesh will use the funds for 17 priority infrastructure projects including electricity, railways, road, shipping, ports, education, health etc.