SSC CHSL Previous Paper 32 (Held On: 17 March 2018 Shift 3) (Previous Year Paper)

The correct spelling is Swivelling.**

Key Points:-

• Let's look at the correct spelling and meaning of the given word:-
• Swivelling*(verb) -* turn around a point or axis or on a swivel.
• For Example - He swivelled in the chair.
• Synonyms - Turn spin, swing, rotate

Therefore, the correct spelling of the given word is Swivelling.

Here the correct answer is ACB.

Key Points:-

• A sentence can't end with 'despite his' or and 'it'.
• Thus, only 'B' can be the last sentence.
• So, this conclusion rules out option 1 and 2.
• Option 4  is wrong as CAB means: and it a mildly supercilious tone  which makes no sense.

Therefore, the correct sentence is I was able to sense a mildly supercilious tone, despite his warmth and friendliness, and it was unnerving.

Here the correct answer is No improvement.

Key Points:-

• The above given sentence is in past perfect continuous tense.
• Past perfect continuous tense is used to express those actions that started in past, continued for a period of time and then finished in past.
• The structure of Past perfect continuous tense is as follows:-
• Subject + had been + V₁ ing + Object + since/for + timebeing.
• For Example - He had been playing for two hours.
• In the given sentence, the battle had been raging for sometime.
• Thus, past perfect continuous tense has been used.

Therefore, the correct sentence is The battle had been raging for some time.

Here the correct answer is Had taken.

Key Points:-

• In the above given sentence, 'had taken' will be used.
• It is so because 'has' and 'had' take the past participle form.
• Past participle form of take is taken.
• Further, the given sentence is in past perfect tense.
• Past perfect tense expresses an action which has been completed a long time ago in the past.
• The structure of past perfect tense is as follows:-
• Subject + had + V₃ + Object
• For Example - He had played in the evening.

Therefore, the correct sentence is Winds blowing northwards has taken our kite to a vertiginous height.

Here the correct answer is Profligate.

Key Points:-

• Let's look at the meaning of the correct answer:-
• Profligate*(adjective) -* recklessly extravagant or wasteful in the use of resources.
• For Example - He succumbed to drink and a profligate lifestyle.
• Synonyms - Wasteful, extravagant, spendthrift, improvident.
• Antonyms - Thrifty, frugal.
• Let's look at the meaning of the other options:-

Therefore, the correct one word for the given descriptive sentence is Profligate.

Here the correct answer is Galling.

Key Points:-

• Let's look at the meaning of the correct answer:-
• Galling(adjective) - causing annoyance or resentment; annoying.
• For Example - It would be galling to lose your job because of a dispute with a customer.
• Synonyms - annoying, irritating, vexing, vexatious
• Antonyms - pleasing, delightful
• Let's look at the meaning of the other options:-

Therefore, the correct one word for the given words/descriptive sentence is Galling.

Here the correct answer is A passenger who gives unwanted and/or unneeded directions to the driver.

Key Points:-

• Let's look at the meaning of the given idiom/phrase:-
• Back seat driver - a passenger in a car who gives the driver unwanted advice or a person who is eager to give advice about something for which they are not responsible.
• For Example - Daisy is such a backseat driver, she needs to stop interfering – no one asked for her advice.

Therefore, the correct meaning of the given idiom/phrase is  A passenger who gives unwanted and/or unneeded directions to the driver.

Here the correct answer is You shouldn't prejudge the value of something, by its outward appearance alone.

Key Points:-

• Let's look at the meaning of the given idiom/phrase:-
• Can't judge a book by its cover - One shouldn't prejudge the worth or value of something by its outward appearance alone.
• For example - That man may look very small and insignificant, but don't judge a book by its cover – he's a very powerful man in his circle.

Therefore, the correct meaning of the given idiom/phrase is You shouldn't prejudge the value of something, by its outward appearance alone.

Here the correct answer is Appreciation.

Key Points:-

• In the above given sentence, 'appreciation' will be used.
• It is so because since 'fuller' is an adjective, therefore, the blank must contain a noun.
• Out of the given options, only 'appreciation' and 'appreciator**'** are nouns.
• Appreciator means a person who appreciates and recognizes the full worth of something which does not fit in the context.
• 'Appreciate' and 'appreciates' are verb.
• Appreciation*(noun) - recognition and enjoyment of the good qualities of someone or something.*
• For Example - I smiled in appreciation.

Therefore, the correct answer for the blank will be Appreciation.

Here the correct answer is Although.

Key Points:-

• In the above given sentence, 'although' will be used.
• It is so because the sentence aims to say that even though those people have never experienced, they still have a desire.
• Although*(conjunction)* - despite the fact that:
• For Example - She walked home by herself, although she knew it was dangerous.

Therefore, the correct word for the blank is Although.

Here the correct answer is Suggest.

Key Points:-

• In the above given blank, 'suggest' will be used.
• It is so because vaguely is an adverb.
• Therefore, a verb must fill the blank.
• 'Suggestion' is a noun so it cannot be used.
• We can rule out suggested because can being a modal verb only uses simple present tense.
• We can rule out  Option 4 i.e. suggests because the noun( i.e. words) is plural.
• Thus, a plural verb needs to be used.(Suggests is singular)

Therefore, the correct word for the blank is Suggest.

Here the correct answer is With.

Key Points:-

• In the above given blank. 'with' will be used.
• It is so because 'deal with' is a phrasal verb which means address; cover or to be about a particular subject.
• For Example - The program dealt with teenage pregnancy.

Therefore, the correct word for the blank is With.

Here the correct answer is To.

Key Points:-

• In the above given blank, 'to' will be used.
• It is so because 'Be confined to something/somebody' is a phrasal verb meaning to only exist in a particular area or group of people.
• For Example - The flooding was confined to the basement.

Therefore, the correct answer for the blank is To.

Here the correct answer is Immediately.

Key Points:-

• Let's look at the correct spelling and meaning of the given word:-
• Immediately*(adverb) -* now or without waiting or thinking about something:
• For Examples:-
• You have to come home immediately.
• The cause of the problem wasn't immediately obvious.

Therefore, the correct spelling of the given word is Immediately.

Here the correct answer is Jane asked her father to cheer up as she would go and get work somewhere.

Key Points:-

• The given sentence is in the **simple future tense (**will go).
• In the indirect speech, 'will' changes to 'would'.
• Let's look at the steps for changing the sentence from direct to indirect speech:
• As the reporting verb is in the past tense and direct speech is in the simple future tense, we will take the following steps:-
• The reporting verb 'said' is changed to 'asked' because the girl is asking her father to cheer up.
• The conjunction 'that' is used in place of the comma and the inverted comma are removed.
• The pronoun 'I' is changed to 'she' as the first person changes according to subject.

Therefore, the correct indirect speech is Jane asked her father to cheer up as she would go and get work somewhere.

Additional Information

The following table will enable us to know how tense changes in indirect speech:-

Here the correct answer is The Red Fort was built by Shah Jahan.

Key Points:-

• The given sentence**(active voice)** is in the simple past tense (built).
• The passive voice will be:-
• was/were + past participle of build(built) + by.
• Whenever an active voice is in simple past tense, it is changed into passive voice according to the following structure:-
• Active Voice - did+ V₁ or V₂
• Passive voice - was/were + V₃
• For Example:-
• Active Voice - Shah Jahan built the Moti Masjid.
• Passive Voice - Moti Masjid was built by Shah Jahan.

Therefore, the correct passive voice of the given active voice is The Red Fort was built by Shah Jahan.

Additional Information

• When we convert active voice to passive voice, three things need to be kept in mind:-
• Change object into subject.
• Change subject into object.
• Always use third form of verb in passive voice.
• Use 'by' before the new object.

Here the correct answer is RPQ.

Key Points:-

• Q starts with must acquire. Acquire means to buy or obtain.
• Who buys stuff?
• A person or human being.
• Clearly, the verb of must acquire must have a doer associated with it, which can only be person in the given case.
• Thus, Q must immediately follow P.
• Option 3 shows this sequence.

Therefore, the correct sentence is The art of letter-writing is not merely an ornamental accomplishment, but something that every educated person must acquire for practical purposes.

Here the correct answer is Moderate.

Key Points:-

• Let's look at the meaning of the given word:-
• Grandiose*(adjective)* - grand in style; magnificent.
• For Example - He had grandiose plans to reform the world.
• Synonyms - magnificent, grand, impressive, imposing
• Antonyms - unimpressive, humble, moderate.
• Let's look at the meaning of the correct answer:-
• Moderate*(adjective) -* average in amount, intensity, quality, or degree.
• For Example - We walked at a moderate pace.
• Synonyms - average, medium, middling, modest
• Antonyms - great, massive, outrageous, unreasonable
• Let's look at the meaning of the other options:-

Therefore, the correct antonym of the given word is Moderate.

Here the correct answer is Timid.

Key Points

• Let's look at the meaning of the given word:-
• Officious*(adjective)* - assertive of authority in a domineering way, especially with regard to trivial matters. (दबंग तरीके से अधिकार का मुखर होना, विशेष रूप से तुच्छ मामलों के संबंध में)
• For Example - The security people were very officious.
• Synonyms - bossy, busy, obtrusive, intrusive
• Antonyms - timid, meek, humble, self-effacing
• Let's look at the meaning of the correct answer:-
• Timid*(adjective)* - showing a lack of courage or confidence; easily frightened. (साहस या आत्मविश्वास की कमी दिखाना; आसानी से भयभीत)
• For Example - I was too timid to ask for what I wanted.
• Synonyms - fearful, apprehensive, scared, afraid
• Antonyms - bossy, rude, obtrusive, intrusive
• Let's look at the meaning of the other options:-

Therefore, the correct antonym of the given word is Timid.

Here the correct answer is Choice.

Key Points:-

• Let's look at the meaning of the given word:-
• Volition*(noun)* - the faculty or power of using one's will.
• For Example - Without conscious volition she backed into her office.
• Synonyms - choice, desire, accord, option
• Antonyms - aversion, antagonism, dislike, hate
• Let's look at the meaning of the correct answer:-
• Choice*(noun)* - an act of choosing between two or more possibilities.
• For Example - I had to do it, I had no choice.
• Synonyms - option, alternative, possibility, answer
• Antonyms - compulsion, necessity, rejection, refusal
• Let's look at the meaning of the other options:-

Therefore, the correct synonym of the given word is Choice.

Here the correct answer is Insurmountable.

Key Points:-

• Let's look at the meaning of the given word:-
• Insuperable*(adjective)* - (of a difficulty or obstacle) impossible to overcome.
• For Example - This task was destined to prove one of almost insuperable difficulty.
• Synonyms - invincible, insurmountable, unconquerable, unassailable
• Antonyms - surmountable, conquerable, assailable.
• Let's look at the meaning of the correct answer:-
• Insurmountable*(adjective)* - too great to be overcome.
• For Example - It was an insurmountable problem.
• Synonyms - hopeless, impossible, overwhelming, unassailable
• Antonyms - surmountable, conquerable, possible, hopeful
• Let's look at the meaning of the other options:-

Therefore, the correct synonym of the given word is Insurmountable.

Here the correct answer is Irreconciliable.

Key Points:-

• In the above given sentence, 'irreconciliable' will be used.
• It is so because Mediate means to moderate or bring an agreement in a dispute.
• Agreement can only come between two people who are in dispute.
• Thus, Irreconcilable meaning incompatible; conflicting; disagreeing is the apt word for the blank.

Therefore, the correct sentence is  The power of silence is in its ability to mediate the irreconciliable.

Additional Information

• Let's look at the meaning of the other options:-

Here the correct answer is Again.

Key Points:-

• In the above given sentence, 'again' will be used.
• It is so because the other options do not fit in the context.
• 'Again' is an adverb another time; once more.
• For Example - It was great to meet old friends again.
• 'Besides' means in addition to.
• For Example -I dislike fishing; besides, I don’t even own a boat.
• 'Anew' means in a new or different and typically more positive way.
• For Example - He demonstrated anew that he's not a good leader.
• 'Nevermore' = at no future time; never again.
• For Example - All were sure that Alice nevermore would be troubled by Paul Lanier.
• Note that nevermore is a negative adverb, but the sentence already uses did not so it is ruled out.

Therefore, the correct sentence is The lecturer did not see her again.

Here the correct answer is 3.

Key Points:-

• In the above given sentence, the error is in part 3.
• It is so because 'a' will be replaced by 'the'.
• 'Only gem' indicates that the given noun is special and unique i.e. it is definite.
• Thus, the definite article i.e. 'the' will be used in place of the indefinite article i.e. 'a'.
• Definite article 'the' is used when the noun with which it is used is a particular one, which is identifiable to the listener.
• It may also be used for a noun that has already been mentioned or is uniquely specified.
• For Example - This is the girl who sings.
• In the above sentence, the girl has been specified to be the one who sings.
• Thus, 'a' will be replaced by 'the'.

Therefore, the correct sentence is You’ll spend most of your time gaping in awe at the Kailash temple, but that  isn’t the only gem that Ellora has to offer.

Additional Information

• Indefinite articles i.e. 'a' and 'an' are used to introduce new concepts(noun phrase) into a discourse.
• These articles are called indefinite because their usage implies that the thing which is being referred to is nonspecific.
• For Example - He caught a bird.(any bird)
• Note - Indefinite articles are generally used before countable 'singular' nouns.

Here the correct answer is 2.

Key Points:-

• In the above given sentence, 'award' will be replaced by 'awards'.
• It is so because 'All of' will be followed by a plural noun i.e. awards.
• When used in the phrase 'all of', 'all' is classified as an indefinite pronoun.
• It is perfectly acceptable to use 'all of' before a noun.
• For example:-
• all of the men
• all of the students
• Thus, 'award' will be replaced by 'awards'.

Therefore, the correct sentence is Mark won all of the awards for the categories in which he was nominated.

The Police is related to Criminals, in the same way Doctor is related to Patients.

Hence, “Doctor : Patient” is the related word pair among the given alternatives.

As,

16 + 5 = 21

Similarly,

14 + 5 = 19

Hence, “14 : 19” is the related number pair among the given alternatives.

The logic followed here is

Similarly,

Hence, QZU is the correct answer.

Cow is an animal. Peacock is a bird. Chair is a furniture. However, Planet is not Venus. The analogy is in reverse order in this pair.

Hence, Planet : Venus is the odd word pair among the given alternatives.

The logic followed here is:

(11 - 1)² = 100

(13 - 1)² = 144

(19 - 1)² = 324

(17 - 1)² = 256 ≠ 246

Hence, 17 - 246 is the odd number pair among the given alternatives.

The logic followed here is:

X + 1 = Y; Y + 1 = Z;

L + 1 = M; M + 1 = N;

C + 1 = D; D + 1 = E ≠ F;

R + 1 = S; S + 1 = T;

Hence, CDF is the odd letters pair among the given alternatives.

On arranging word as per dictionary order,

5. Cactus
6. Camel
7. Camera
8. Candle
9. Candy

Hence, 54132 is the dictionary order and Candle comes at FOURTH position .

15 × 0.5 = 7.5

7.5 × 1 = 7.5

7.5 × 1.5 = 11.25

11.25 × 2 = 22.5

22.5 × 2.5 = 56.25

Hence, 11.25 is the missing term.

The logic followed here is:

Hence, H is the missing term.

Present age of Rahul and his brother = 5 : 3 → 5x : 3x

After 4 years ratio of Rahul’s brother and his sister: 3x + 4 : sister’s age : : 5 : 6.

Present age of his sister is 26 years. After 4 years her age will be 30 years

$\frac{{3x + 4}}{{sister's;age;after;4;years;}} = ;\frac{5}{6}$

$\frac{{3x + 4}}{{30;}} = ;\frac{5}{6}$ =

$3x + 4 = \frac{{5; \times 30}}{6} =$ 25

3x = 21; x =7

Present age of Rahul = 5x = 5 × 7 = 35

After 3 years his age will be 35 + 3 = 38 years.

Hence, the age (in years) of Rahul 3 years from now will be 38 years.

1. Ability → Responsibility : this word cannot be formed as there is no A in Responsibility.

2) Pen → Responsibility

3) Nose → Responsibility

4) Possible → Responsibility

Hence, “Ability” word cannot be formed from the given word.

Hence, Happy will be coded as tap.

Changing operations as given format:

Given expression: 8 ÷ 2 - 25 + 10 x 3 = ?

After changing the symbols: 8 + 2 x 25 ÷ 10 - 3 = ?

= 8 + 2 × 2.5 - 3

= 8 + 5 - 3

= 13 - 3

= 10

Hence 10 is the correct answer.

Given expression: 12 + 8 - 25 ÷ 10 × 18 = 14

1. ÷ and - → 12 + 8 ÷ 25 - 10 × 18 = - 167.68 ≠ 14

2. • and ÷ → 12 ÷ 8 - 25 + 10 × 18 = 156.5 ≠ 14
3. • and + → 12 - 8 + 25 ÷ 10 × 18 = 49 ≠ 14

4. × and - → 12 + 8 × 25 ÷ 10 - 18 = 14

Hence, “ × and - “ should be interchanged to correct the equation.

In 2 % 1,

(2 + 1) × 10 = 3 × 10 = 30

6 % 2 = 80; (6 + 2) × 10 = 8 × 10 = 80

2 % 5 = 70; (2 + 5) × 10 = 7 × 10 = 70

Similarly, in 4 % 1,

4 % 1 = (4 + 1) × 10 = 5 × 10 = 50

Hence, 50 is the correct answer.

Here in the 1^st term R shift by 1 position in left direction.

Hence the next term will be “RQPQPQPQP”.

The man’s movement can be mapped as follows:

Hence, his office is 18 Km in the South Direction with reference to his home.

The least possible Venn diagram is as follows:

Conclusion I: Some flowers are red → False (It is possible but not definite)

Conclusion II: All red are flowers → False (It is possible but not definite)

Hence, neither conclusion I nor conclusion II follows

Here, the set of letters that represent Racers who are not Jugglers is KGJH.

Hence, KGJH is the correct answer.

Hence, the correct answer is IPO.

Here the logic followed is :

113 + 3 = 116;

116 + 3 = 119;

119 + 3 = 122;

122 + 3 = 125;

125 + 3 = 128.

Hence, 128 is the missing term .

1. (31, 33, 35) → 31 + 2 = 33; 33 + 2 = 35

2. (41, 43, 45) → 41 + 2 = 43; 43 + 2 = 45

3. (43, 45, 47) → 43 + 2 = 45; 45 + 2 = 47

4. (33, 37, 39) → 33 + 2 = 35 ≠ 37; 37 + 2 = 39

Hence, (33, 37, 39) is the odd one out from the given alternatives.

When the question figure is flipped vertically following figure will be formed.

Hence, the figure given above is the correct answer.

1. The face of the dice with five dot will be opposite to the face of dice with a circle.

2. The face of the dice with X will be opposite to the face of dice with *.

3. The face of the dice with four square will be opposite to the face of dice with #.

In the above figure, the top surface of the cube (with a circle) is adjecent to the side having five dots, which is not possibe. Hence, the above figure cannot be formed.

1. 12, 88, 41, 85 → F N A Q

2) 41, 76, 31, 79 → A W H T

3) 30, 14, 75, 76 → G L O W

4. 32, 85, 33, 57 → I Q M T

Hence, “30, 14, 75, 76” is the correct answer.

Given:- 

 ${\left[ {7{{\left( {{{64}^{\frac{1}{3}}} + {{27}^{\frac{1}{3}}}} \right)}^3}} \right]^{\frac{1}{4}}}$ 

Formula used:-

(a^m)ⁿ  =  a^{m  × n}   

Calculation:-

⇒ ${\left[ {7{{\left( {{{64}^{\frac{1}{3}}} + {{27}^{\frac{1}{3}}}} \right)}^3}} \right]^{\frac{1}{4}}}$  [64^1/3 = (4³)^1/3  = 4^3/3 = 4]

$⇒ {\left[ {7{{\left( {4 + 3} \right)}^3}} \right]^{\frac{1}{4}}}$           [27^1/3 = (33)1/3  = 33/3 = 3]

$⇒ {\left[ {7{{\left( 7 \right)}^3}} \right]^{\frac{1}{4}}}$

$⇒ {\left[ {{{\left( 7 \right)}^4}} \right]^{\frac{1}{4}}}$

$⇒ {7^{4; × \frac{1}{4}}}$

⇒ 7 

∴ The required answer is 7.

Concebt used

a.b̅ = a.bbbbbb

a.0b̅ = a.0bbbb

Calculation

0.7 = 0.700000 ̇....

$0.\bar7 = 0.77777 \ldots$

$0.0\bar7 = 0.077777 \ldots$

$0.\overline {07} = 0.070707 \ldots$

Now, 0.7777…  or $0.\bar7$ is largest among all.

Given:- 

 ${a_n} = \frac{1}{{n + 1}} + 1$,

then a₁ + a₃ + a₅ = ?

Calculation:-

Put a = 1, then

⇒ a₁ = 1/(1 + 1) + 1 = 1/2 + 1 = 3/2

Similarly, 

⇒ a₃ = 1/(3 + 1) + 1 = 1/4 + 1 = 5/4

⇒ a₅ = 1/(5 + 1) + 1 = 1/6 + 1 = 7/6

∴ a₁ + a₃ + a₅ = 3/2 + 5/4 + 7/6 = 47/12 

∴ The required answer is 47/12.

If p & q = p² + 4pq - q²

Put the value p = 3 and q = 6

⇒ 3 & 6 = 3² + 4 × 3 × 6 – 6² = 9 + 72 – 36 = 45

Similarly, we put p = 4 and q = 5

⇒ 4 & 5 = 4² + 4 × 4 × 5 – 5² = 16 + 80 – 25 = 71

∴ (3 & 6) + (4 & 5) = 45 + 71 = 116

Given:-

(1) AT = 6 cm, AB = 10 cm & TB = ?

(2) TB ┴ AT

In right-angled, △ATB

Formula used:-

By Pythagoras theorem

(AB)² = (AT)² + (TB)²   

Calculation:-

⇒ (10)² = 6² + (TB)²

⇒ TB = 8

The radius (r) of the circle is TB = 8 cm

We know diameter is the largest chord of the circle

⇒ d = 2r = 2 × 8 = 16  

∴ The required answer is 16.

Base of the right angled triangle = 12

Perpendicular of the right-angled triangle = 5

By Pythagoras theorem

Hypotenuse of the right-angled triangle = 13

We know, circum-radius of right angled triangle = 1/2 × hypotenuse

∴ Circum-radius of right angled triangle = 1/2 × 13 = 6.5 cm

Given:

The price of sugar is decreased by 18%, then a person can buy 16.2 kg sugar more for Rs. 4500

Formula used:

If the price of an aricle is reduced by x% and buyer get z kg more for some Rs y, then the new price per kg of article = xy/(100 × z)

Calculation:

So, x = 18%, y = 4500, & z = 16.2 kg

∴ New price per kg = xy/(100 × z) = (18 × 4500)/(100 × 16.2) = 50 

Shortcut Trick

We know, 18% → $\frac{9}{50}$ 

Difference between consumption (50 - 41) = 9 unit

⇒ 9 unit → 16.2 kg

⇒ 1 unit → (16.2 /9) = 1.8 kg 

⇒ 50 unit → 1.8 x 50 kg = 90

Now, the original price of sugar  is $\frac{4500}{90} =$  ₹50 /kg

Concept used:

Income = Expenses + Savings

Calculation:

Let the income of P, Q & R be 5x, 4x, and 3x respectively and their expenses are 6y, 5y, and 4y respectively.

Income of P = 10,000 (given)

⇒ 5x = 10,000

⇒ x = 2,000

According to the question

⇒ 5x – 6y = 4,000

⇒ 10,000 – 6y = 4,000

⇒ 6y = 6,000

⇒ y = 1,000

Saving of the Q = Income of Q – expenses of Q = 4 × 2000 – 5 × 1000 = 8000 – 5000 = 3000

∴ The saving of the Q is Rs. 3,000

Calculation:

Ratio of zinc and aluminium in alloy X = 1 : 4 = 5 unit

Ratio of zinc and aluminium in alloy Y = 11 : 8 = 19 unit

We have to equal quantities

Ratio of zinc and aluminium in alloy X = 1 : 4 = 5 × 19

Ratio of zinc and aluminium in alloy Y = 11 : 8 = 19 × 5

New ratio of zinc and aluminium in alloy X = 19 : 76 = 95 unit

New ratio of zinc and aluminium in alloy Y = 55 : 40 = 95 unit

∴ Ratio of zinc and aluminium in alloy Z = (19 + 55) : (76 + 40) = 74 : 116 = 37 : 58

Given:-

Prime numbers before 19 = 17, 13, 11, 7, 5, 3, 2

Formula used:-

 Average = sum of all the number/total number

Calculation:-

∴ Average = (17 + 13 + 11 + 7 + 5 + 3 + 2)/7 = 58/7 = 8.28  

∴ The required answer is 8.28.

Given:-

(1) The simple interest on a sum of money is 16/25 of the principal.

(2) Rate(r) = Time (t)

Formula used:-  

SI = (P × r × t)/100

Where P = Principal  SI = Simple interest

Calculation:-

Let the Principal be P

⇒ r = t (given)

⇒ SI = (P × r × t)/100

⇒ 16P/25 = (P × r × r)/100 [ t = r ]

∴ r = 4/5 × 10 = 8%  

∴ The required answer is 8.

Rajan purchase 21 pens for Rs. 20

CP of the 21 pens = Rs. 20

CP of the 1 pen = Rs. 20/21

Rajan sell 20 pens for Rs 21

SP of the 1 pen = 21/20

We know, profit = SP – CP

So, Profit = 21/20 – 20/21 = 41/420

We know, profit % = Profit/CP × 100

∴ Profit % $= \frac{{\frac{{41}}{{420}}}}{{\frac{{20}}{{21}}}} × 100 = \frac{{41}}{{420}} × \frac{{21}}{{20}} × 100 = 10.25\%$  

Shortcut Trick

∴ Loss % = (41/441) × 100 = 9.29 %

Given:

The successive discount are 20%, 20% and 10%.

Formula:

Successive discount = X + Y - (XY)/100

Where,

X = First discount

Y = Second discount

Calculation:

Successive discount = X + Y - (XY)/100

⇒ 20 + 20 - 400/100

⇒ 36%

Now, again

Successive discount = X + Y - (XY)/100

X = 36%, Y = 10%

⇒ 36 + 10 - (36 × 10)/100

⇒ 46 - 3.6 

⇒ 42.4%

∴ The single equivalent discount is 42.4%.

Let MP of the book be 100

SP after discount

⇒  $= 100 \times \frac{{100 - 20}}{{100}} \times \frac{{100 - 20}}{{100}} \times \frac{{100 - 10}}{{100}}$

⇒ $= 100 \times \frac{{80}}{{100}} \times \frac{{80}}{{100}} \times \frac{{90}}{{100}} = 57.6$

We know, discount = MP – SP 

So, net discount = 100 – 57.6 = 42.4

∴ Discount % = 42.4/100 × 100 = 42.4%

Given:-

 $\sqrt[3]{{512}} + \sqrt {169} + \sqrt[3]{{216}} + \sqrt {225}$ 

Formula used:-

(a^m)^1/m = a^m/m = a¹ 

Calculation:-   

⇒ $\sqrt[3]{{512}} + \sqrt {169} + \sqrt[3]{{216}} + \sqrt {225}$

$\Rightarrow {\rm{}}\sqrt[3]{{8{\rm{}} \times {\rm{}}8{\rm{}} \times {\rm{}}8}} + \sqrt {13{\rm{}} \times {\rm{}}13} + \sqrt[3]{{6{\rm{}} \times {\rm{}}6{\rm{}} \times {\rm{}}6}} + \sqrt {15{\rm{}} \times {\rm{}}15}$

⇒ 8 + 13 + 6 + 15 = 42 

∴ The required answer is 42.

Shortcut Trick

Wages are distributed in the ratio of efficiency, which is the inverse of the time taken.

Time ratio of Rashika and Rashmi = 5 : 7

Efficiency ratio (Rashika : Rashmi) = 7 : 5

Total efficiency = 7 + 5 = 12 parts = ₹240

1 part = ₹20 ⇒ Rashika's share = 7 parts = 7 × 20 = ₹140

∴ The correct answer is ₹140.

Alternate Method

Given:

Time taken by Rashika = 5 days

Time taken by Rashmi = 7 days

Total wages = ₹240

Calculations:

⇒ When people work together for the entire duration, wages are divided in the ratio of their efficiencies.

⇒ Ratio of efficiencies (Rashika : Rashmi) = 7 : 5

⇒ Total efficiency parts = 7 + 5 = 12 parts

⇒ 12 parts = ₹240

⇒ 1 part = 240 ÷ 12 = ₹20

⇒ Rashika's share = 7 parts = 7 × 20 = ₹140

∴ The correct answer is ₹140.

Additional Information

Work and Wages

Wages are distributed in proportion to the total work done by individuals. If individuals work for the same number of days, wages are distributed directly in the ratio of their daily efficiencies.

Efficiency and Time Relationship

Efficiency is inversely proportional to time. If persons A and B take time in the ratio x : y, their efficiencies will be in the ratio y : x.

Combined Work Formula

If A can do a work in x days and B in y days, together they take (x × y) ÷ (x + y) days to complete the whole work.

Given:- 

(1) 1/3 part of a certain journey is covered at the speed of 25 km/hr

(2) 1/2 part of the journey is covered at the speed of 45 km/hr

(3) the remaining part is covered with a speed of 37.5 km/hr.

Formula used:-

(1) Time = distance/speed

(2) Average speed = total distance/total time 

Calculation:-

Let total part of journey = 6 km (LCM of 2 & 3)

(1/3 part of 6) 2 km covered with the speed = 25 km/hr

We know, time = distance/speed

Time is taken to cover 2 km = 2/25

(1/2 part of 6) 3 km covered with the speed = 45 km/h

Similarly, time = 3/45

Remaining part = 6 – 2 – 3 = 1

1 km covered with the speed = 37.5 km/h

Similarly, time = 1/37.5

We know, average speed = total distance/total time

∴ Average speed $= \frac{6}{{\frac{2}{{25}}; + ;\frac{3}{{45}}; + ;\frac{1}{{37.5}}}} = \frac{{6; \times ;75}}{{6; + ;5; + ;2}} = \frac{{450}}{{13}} = 34.61$ km/hr

∴ The required answer is 34.61.

Sector F (65) has made the second hightest contribution.

Total GDP of the country = A + B + C + D + E + F + G = 100 + 40 + 60 + 30 + 40 + 65 + 25 = 360

So, total GDP is 360 $ millions.

We know total GDP of the country = 360

360 unit represent = 360°

And GDP of the sector D is = 30

∴ 30 unit represent = 30/360 × 360° = 30°

Calculation:

Sectors A, B and C grew by 9% and sectors D, E, F and G grew by 3%.

So, Increase in GDP of sectors A, B and C = (A + B + C) × 9% = (100 + 40 + 60) × 9/100 = 18

Similarly increase in GDP of sectors D, E, F & G = (D + E + F + G) × 3%

⇒ (30 + 40 + 65 + 25) × 3/100 = 4.8

So overall growth = 18 + 4.8 = 22.8

Total GDP before growth = 360

So, overall growth % = 22.8/360 × 100 = 6.33%

Given:- 

The area of a square is 30.25 cm². 

Formula used:- 

(1) Area of a square = a2 

(2) Perimeter of a square = 4a

Calculation:-

We know, the area of a square = a²

⇒ a² = 30.25

⇒ a = 5.5

∴ Perimeter of a square = 4a = 4 × 5.5 = 22 

∴ The required answer is  22.

Given:- 

The circumference of a circle is 110 cm 

Formula used:-   

The circumference of a circle = 2πr

Calculation:-

We know, the circumference of a circle = 2πr

⇒ 2πr = 110

⇒ 2 × 22/7 × r = 110

∴ r = 17.5 cm 

∴ The required answer is 17.5.

Given:- 

A right circular cylinder of  Diameter = 28 & height = 12 

Formula used:- 

(1)The total surface area of a right circular cylinder of diameter = 2 π r (r + h)   

Calculation:-

So, r = 28/2 = 14

We know, the total surface area of a right circular cylinder of diameter = 2 π r (r + h)

∴ Total surface area of right circular cylinder = 2 × 22/7 × 14 × (14 + 12) = 2288 cm² 

∴ The required answer is 2288.

Concept used:

Calculation:

 (cos 30° + 1/2) = √3/2 + 1/2 = (√3 + 1)/2

Given:-

cosecD = 5/4

Concept used:- 

cosecD = hypotenuse/perpendicular

Calculation:-

cosecD = hypotenuse/perpendicular = 5/4

FD = 5k & EF = 4k

In △DEF

By Pythagoras theorem

⇒ (FD)² = (EF)² + (ED)²

⇒ 5k² = 4k² + (ED)²

⇒ ED = 3k

∴ cosec F = hypotenuse/perpendicular = 5/3 

∴ The required answer is  5/3.

The correct answer is option 1, i.e. the difference between the poverty line and actual income level of all those living below that line

• The poverty gap calculates the intensity of poverty. It reflects the extent to which people on average fall under the poverty line.
• The theory of poverty gap was created by the World Bank and is largely used to estimate the incidence of poverty in different nations worldwide.
• The higher poverty gap reflects a lower level of deprivation and a higher incidence of poverty for those who are below the poverty line. In effect, the government has to provide more income to take them above the poverty line.
• | Country | Poverty Gap (%) | | --- | --- | | India | 4.8 | | Indonesia | 2.7 | | Brazil | 2.1 | | Pakistan | 1.9 | | China | 1.3 | | Malaysia | 0.5 | | Nigeria | 27.5 |

The correct answer is option 4 i.e Eighth

Eighth Five Year Plan (1992 - 1997) adopted Indicative Planning in India.

• A form of economic planning, Indicative planning is implemented by a state to solve the issue of imperfect information in the market and mixed economies.
• This is done to increase economic performance.
• Indicative Planning was first attempted in France.
• India’s Eighth Five Year Plan men­tions that planning would have to be reoriented so as to make it indicative.

Burma war is NOT considered for the time being of Viceroy Lord Lytton.

There have been three Burma Wars:

• First Burma War (1824 to 1826)
• Second Burma War (1852 to 1853)
• Third Burma War (1885)

Robert Bulwer Lytton (1831 - 1891), however, served as the Viceroy of India between 1876 - 1880.

Chuar Rebellion: 1870 is not correctly matched.

• This Rebellion took place in 1798 - 99 in Midnapore and Bankura districts of West Bengal.
• Increased taxes, Famine, cruel demands and economic suffering due to famines were the main reasons for revolts in that period.
• Chuar was a derogatory word {meaning pig} which was used for local tribals in Bengal.
• Durjan Singh, the leader of this revolt was a displaced Zamindar who with the help of his followers created destruction.
• He attacked the East India Company and spread his power over 30 villages.
• With the help of local landlords, the British were able to control the rebellion.
• Around 200 agitators were executed during the process.

Fausa Magna is a Rift lowland.

It is a great rift lowland that extends from the Sea of Japan to the Pacific.

Nandi Hill is located in Karnataka.

Key Points

• Nandi Hill is a famous tourist spot located in the Chickaballapur district of Karnataka.
• These hills are the origin of the river Arkavathy.

Additional Information

• Haribhai Varadkaris is NOT related to ghazal singing.
• Begum Akhtar, who was also given the title of ‘Mallika-e-Ghazal’, was Indian singer of Ghazal, Dadra, and Thumri.
• Peenaz Masani, who has been awarded the title of 'Shehzad-e-Tarunnam', by the state government of UttarPradesh, is a famous Indian Ghazal singer.
• Malika Pukhraj was a popular Ghazal singer of Pakistan.

The 10^th South Asia Economic Summit (SAES) was held in November 2017 in Kathmandu.

• “Deepening Economic Integration for Inclusive and Sustainable Development in South Asia” was the theme of the Summit.
• The South Asia Economic Summit (SAES) was started in 2008.
• The objective of the summit is to bring the stakeholders from research, government, the private sector, etc. to generate creative ideas to be considered by SAARC and region’s policymakers.

Sterling K. Brownis the first African-American actor to win the Best Actor Award in a Television Drama in the history of Golden Globe.

He got this award at Golden Globe Awards 2018 for his role as Randall Pearson in the drama “This Is Us”.

The correct answer is Dzongkha.

Key Points

• The official Language of Bhutan is Dzongkha.
• The capital of Bhutan is Thimphu.
• The national animal is Takin (cattle chamois or gnu goat)
• The national bird is Common Raven
• The national flower is Blue poppy.
• The national sport is Archery.
• The national tree is Bhutan Cypress.

Explanation:

Multiplication of equivalent weight and valency of an element is equal to Atomic weight.

In simple language, Equivalent weight is the mass of a compound which can combine with 1g of hydrogen or 8g of oxygen.

Atomic weight ÷ Valency = Equivalent weight

Atomic weight = Equivalent weight × Valency

Example:

Atomic weight of Calcium = 40 g and

Valency of Calcium = 2, then,

Equivalent weight of Calcium = Atomic weight of Calcium ÷ Valency of Calcium = 40 ÷ 2 = 20 g.

So, 'Atomic weight' is the correct option.

• Plaster of Paris changes into gypsum on mixing with water and is used for decoration.
• Plaster of Paris, commonly called as P.O.P is Calcium sulphate hemihydrate.
• The chemical formula of Plaster of Paris is CaSO₄.1/2 H₂O.
• Crystals of gypsum are produced when Plaster of Paris is mixed with water.

= CaSO₄.1/2H₂O + H₂O → CaSO₄.2H₂O(Gypsum).