SSC CHSL Previous Paper 4 (Held On: 2 July 2019 Shift 3) (Previous Year Paper)

The correct answer is option 3) i.e. I asked the shopkeeper what the price of that bike was.

• The reporting speech in the given sentence is in the past tense, hence, while changing it into indirect speech the whole sentence will be in the past sentence.
• ‘Wh’ – Question (beginning with – who / what / how / where / when / why, etc.) then before the Reported Speech i.e., Interrogative word, there
  

will be no usage of any Conjunction.

• 'that' is not used as a conjunction when we have 'wh' family word in the sentence, like, in this sentence we have 'what'.
• Indirect: 'I asked the shopkeeper what..'
• And the interrogative sentence will be changed into an assertive sentence by:
• the order of Verb + Subject is changed into Subject + Verb- changed
• Indirect: I asked the shopkeeper what the price of the bike(Subject) + was (Verb)

​

Correct Indirect: I asked the shopkeeper what the price of that bike was.

The correct answer is option 2) i.e. cheerful.

• morose: sullen and ill-tempered or the one who is sad.
• cheerful: noticeably happy and optimistic. Hence, this is the most appropriate antonym of the given word.
• mournful: feeling, expressing, or inducing sadness, regret, or grief.
• unsatisfied: not satisfied.
• sullen: bad-tempered and sulky.

The correct answer is option 1) i.e. reveal a secret.

• Spill the beans: reveal secret information unintentionally.

The correct answer is option 3) i.e. contradict.

• corroborate: confirm or give support to a statement, theory, or finding.
• contradict: deny the truth of (a statement) by asserting the opposite, hence, this is opposite in meaning to the given word.
• verify: make sure or demonstrate that something is true, accurate, or justified.
• confirm: state with assurance that a report or fact is true.
• approve: officially agree to or accept as satisfactory.

The correct answer is "Emmision".

Key Points

• The spelling given in option 3 "Emmision" is incorrect.
• The correct spelling is emission which means the production and discharge of something, especially gas or radiation.
• emolument: a salary, fee, or profit from employment or office.
• emporium: a large retail store selling a wide variety of goods.
• emphasis: special importance, value, or prominence given to something.
• Hence option 3 is the correct answer.

The correct answer is option 1) ADBC.

• The only independent sentence from the given sentences is sentence 'A', hence, it will be the first sentence.
• In the sentence 'D' the pronoun 'her'  has been been used for the little girl. This sentence is most suitable for using after sentence 'A'.
• The sentence 'D' talks about a birthday party and the sentence 'B' the excitement of the girl, hence, we can say that the girl is excited about the birthday party. So, the sentence 'B' will follow the sentence 'D'.
• So, we have got the sequence i.e. ADB, hence, the last sentence will be 'C'.

The correct answer is option 1) i.e. sit through.

Key Points

• The given sentence talks about the duration for which the children have to stay in the class.
• Sit through means stay until the end of a tedious or lengthy meeting or performance. This fits best in the context of the given sentence, hence it will be the correct substitute for the underlined segment.

Additional Information

• Sit up: refrain from going to bed until a later time than usual.
• Sitting across from someone means they sit close to you.
• too...to: shows undesirable excess and has a kind of negative meaning.
• ​Example: The news is too good to be true.
• If the sentence containing too…to is in the affirmative, the sentence containing so…that will be in the negative.
• Example: The news is so good that it cannot be true.

Hinglish

• दिया गया वाक्य बच्चों को कक्षा में कितने समय तक रहना होगा, इसके बारे में बात करता है।
• "Sit through" का मतलब होता है किसी उक्ता या लंबी बैठक या प्रदर्शन के अंत तक बैठना।
• इसका संदर्भ दिए गए वाक्य के साथ सबसे अच्छा मेल खाता है, इसलिए यह underlined segment के लिए सही प्रतिस्थापन होगा।
• (Sit up): सामान्य से बाद में सोने में देरी करना।
  

(Sitting across from someone) का मतलब होता है कि वे आपके करीब बैठते हैं।

(too...to): अनचाही अधिकता दिखाता है और इसमें किसी प्रकार का नकारात्मक अर्थ होता है।

(too…to) वाला वाक्य सकारात्मक है, तो सो…दैट (so…that) वाला वाक्य नकारात्मक होगा।

The correct answer is option 3) i.e. mansion.

• mansion: a large, impressive house. बड़ा भवन, कोठी, हवेली
• cabin: a private room or compartment on a ship. जहाज़ या नाव में सोने के लिए छोटा कक्ष
• shack: a roughly built hut or cabin. झोंपड़ी
• fort: a fortified building or strategic position. क़िला, दुर्ग

The correct answer is option 2) i.e. blosom.

Key Points

• The correct spelling is blossom which means mature or develop in a promising or healthy way. (आशाजनक या स्वस्थ तरीके से परिपक्व या विकसित होना।)
• Meaning of the other words in the option are:
• booty: valuable stolen goods, especially those seized in war. (मूल्यवान चोरी का सामान, विशेष रूप से युद्ध में जब्त किया गया सामान।)
• brood: a family of birds or other young animals produced at one hatching or birth. (पक्षियों या अन्य युवा जानवरों का एक परिवार )
• boast: an act of talking with excessive pride and self-satisfaction (अत्यधिक गर्व और आत्म-संतुष्टि के साथ बात करने का एक कार्य)

The correct answer is option 4) i.e. 'billowing'.

Key Points 

• 'billowing' means of smoke, cloud, or steam moving or flowing outward with an undulating motion**.** (धुआं, बादल या भाप लहरदार गति के साथ बाहर की ओर बढ़ते या बहते हैं।)
• This fits best in the context of the given sentence.
• Hence, it is the most appropriate word to fill in the blank.

Therefore, the complete sentence is "The thick smoke billowing out of the landfill site is making the city’s polluted air even more toxic." (लैंडफिल साइट से निकलने वाला घना धुआं शहर की प्रदूषित हवा को और भी जहरीला बना रहा है।)

Additional Information 

• tossing: throw (something) somewhere lightly or casually. (किसी चीज़ को हल्के से फेंकना)
• rocking: to move backwards and forwards or from side to side. (धीरे से इधर-उधर घूमना)
• burning: on fire. (जलता हुआ)

The correct answer is "impregnable".

Key Points

• "Impregnable" is an adjective that describes something so strong or well-constructed that it cannot be taken by force or broken into.
• This definition directly aligns with the given phrase "that which cannot be taken by force".
• For instance, in the sentence, "The fortress was impregnable, resisting all attempts at invasion," the word "impregnable" illustrates a structure that can't be conquered or taken by force.
• Synonyms of "impregnable" include "invincible", "unassailable", "invulnerable", and "indestructible".
• Hence, the correct answer will be Option 3.

Additional Information

• Option 1: "Immutable" means unchanging over time or unable to be changed. It's typically used to describe abstract concepts rather than physical objects.
• For example: "The laws of physics are immutable."
• This doesn't fit with the original phrase, as something can be immutable but still be taken by force.
• Option 2: "Inapprehensible" means not able to be understood or comprehended. It's often used to describe complex ideas or abstractions.
• For example: "The philosophy lecture was inapprehensible to most of the students."
• This also doesn't fit with the original phrase, as it pertains more to understanding than physical force.
• Option 4: "Inaccessible" describes something that cannot be reached, accessed, or easily obtained.
• For example: "The remote island was inaccessible due to rough seas."
• While this could imply a kind of protection, it doesn't necessarily mean that the thing or place can't be taken by force. It simply might be difficult to get to it.

The correct answer is option 4) i.e. attract some of.

• In the given sentence the verb 'attract' has been used which is wrong here.
• In the given sentence the subject is singular i.e. film festival, hence, a singular verb i.e. attracts will be used.
• So, the correct sentence will be: The Cannes Film Festival attracts some of the world's most famous people.

• The correct answer is Option 1.
• The meaning of the given words:
• Embed: To enclose something, to lay in surrounding matter.
• Bury: To place in the ground, to put an end to.
• Pull: To apply a force to an object.
• Dig up: To excavate something.
• Rise: To move upwards, to begin; to develop.
• Therefore, out of given alternatives, the word 'bury' has the nearest meaning to the given word as both mean 'to place or enclose something'.

• The correct answer is Option 2.
• Rule: A verb can be followed by another verb. The second one usually needs to change into the -ing form or the to + infinitive form. Which form you need depends on what the first verb is. There are certain verbs, when they are followed by another verb, it must be in the -ing form.
• In the given sentence there are two verbs 'avoid & travel', the verb 'avoid' follows another verb with -ing form, therefore, 'travel' must be replaced by 'travelling'.
• The correct preposition to be used is 'in' which is used to mention the unspecific times.
• Therefore, the correct sentence is 'I try to avoid travelling in the rush hour.'

• The correct answer is Option 1.
• The given sentence is talking about the damage caused to the financial institutions by the loss of hardware and so on. Therefore, the blank should contain a word which is related to the company.
• The word 'Personnel' fits the blank correctly which means 'employees or office staff'.

• The correct answer is option 1) i.e. person.
• The given passage talks about 'Bill Gates' and we use the 'person' for talking about human beings.
• Hence, 'person' is the most appropriate word to be used in blank 1.
• All the other words do not fit in the context of the given sentence, hence, they cannot be used in the given blank.

• The correct answer is option 2) i.e. worth.
• Worth is used to show the value of something especially in terms of money.
• The given sentence talks about the money that Bill Gates has.
• Hence, 'worth' is the most appropriate word to be used in the blank 2.

• The correct answer is option 1) i.e. is surpassed.
• The given sentence is in present indefinite tense.
• And it is in passive voice also, and while making the passive voice of present indefinite tense is/am/are + v3 is used.
• In the given sentence the subject is singular, hence, helping verb 'is' will be used here.
• So, 'is surpassed' is the correct word to be used here.

• The correct answer is option 2) i.e. who.
• In the given blank we need a relative pronoun for the noun 'Jeff Bezos'.
• 'who' is the most appropriate relative pronoun to be used here because 'who' is used as a relative pronoun when the subject is doing the action.
• Hence, the most appropriate word to be used in the given blank is 'who'.

• The correct answer is option 4) i.e. so.
• 'So-that' is the pair of conjunction that can be used to compare two things, persons or situations
• In the given sentence the spending of Bill Gates and an average American is being compared.
• Hence, 'so' is the correct word to be used in the given blank.

• The correct answer is Option 2.
• The meaning of the given idiom 'As clear as mud' means 'Difficult to see or understand or not clear at all.'
• Therefore, Option 2 'impossible to understand' gives the same meaning as the given idiom.

• The correct answer is Option 1.
• While changing a sentence to its passive form, subject and object interchange their places.
• The given sentence is in the present perfect tense, so the passive form of this sentence will follow a structure of 'has+been+V3'.tr
• Therefore, the structure is followed correctly only by option 1 'Twenty seven percent of his wealth has been given away by Bill Gates in charity.'

• The correct answer is Option 2).
• There is a rule that the conjunction 'Not only' is always followed by 'but also'.
• Therefore, the correct sentence is 'Different-coloured natural foods not only put a smile on children's faces but also benefit their overall growth.'

The correct answer is Option 4.

Key Points

• The correct answer begins with sentence B because it is introducing a subject called 'pip'.
• In sentence B it is said Pip encountered an escaped convict which is continued in sentence C about what the convict scares him to do.
• The sentences describe how Pip meets the convict, gets threatened by him, steals the items, and returns to the graveyard.
• The other options do not make sense as they mix up the sequence of actions.
• Therefore, the correct sequence is followed in Option 4 'BCDA'.

The correct answer is Option 2.

The meaning of the given words:

• Combustible: Capable of burning.
• Fragile: Easily broken or destroyed.
• Inflammable: Capable of burning, easily set on fire.
• Unbreakable: Difficult to break, rough.
• Non-flammable: something which doesn't burn easily.

Therefore, it is obvious that the word 'inflammable' gives the same meaning as the given word.

Myopic means Short-sighted.

Farsighted means long-sighted.

Thus, Myopic and Farsighted are a pair of antonyms.

Similarly,

The word famous means something or someone who is well-known.

The word obscure means something which is concealed or hidden.

Therefore, famous and obscure are a pair of antonyms.

Hence, the correct answer is Famous : Obscure.

The triangles are ABC, ADC, BCD, DEF, DEI, DIF, GHI, GJI, IJH, DKJ, DJL, DKL, GKM, LHN, AOD, BDP, INF, IME, ROE, PQF, CIR, CIQ, CRQ, IMD, IND, COD, CPD.

Thus, there are total 27 triangles.

Hence, 27 is the correct answer.

The pattern followed here is:

89 + 1³ = 90

90 - 2³ = 82

82 + 3³ = 109

109 - 4³ = 45

Similarly, 

45 + 5³ = 170

Hence, the correct answer is 170.

Italy, Germany, and Austria are countries in the European continent except for Singapore.

Hence, the correct answer is Singapore.

The mirror image of the question figure is as follows:

Hence, option 2 is the correct answer.

The figure (all the shapes together) is rotating clockwise at an angle of 90°.

The following changes occur during the rotation:

From the first to the second term: square replaces +, circle replaces square, and 5 is introduced in the place of circle.

From the second to the third term: circle replaces square, 5 replaces circle, and < is introduced in the place of 5.

From the third to the fourth term: 5 replaces circle, < replaces 5, and a triangle is introduced in the place of <.

From the fourth to the fifth term: < replaces 5, triangle replaces <, and = is introduced in the place of triangle.

Therefore, from the fifth to the sixth term we should get the following: triangle replaces <, = replaces triangle, and a new symbol must be introduced in the place of =. 

We do not have = in options 2 and 4. So, they get eliminated.

Option 1 does not have a new symbol and hence gets eliminated.

Option 3 satisfies the required conditions.

Solution figure:

Hence, the figure in option 3 is the correct answer.

The pattern followed here is:

Similarly,

Hence, the correct answer is DAMK.

These years have been written in ascending order.

Year - Period of twelve months

Lustrum - Period of five years

Decade - Period of ten years

Century - Period of hundred years

Millennium - Period of thousand years

Hence, the correct answer is 3, 1, 5, 2, 4.

The pattern followed here is:

Similarly,

Hence, APOWIIOZJEI is the correct answer.

Let the correct number of questions attempted by Ranga = X

Then, the wrong number of questions attempted by Ranga would be 3X.

Total number of questions = X + 3X = 4X

According to the given information, 4X = 72

⇒ X = 18

Hence, the correct answer is 18.

There is no relation between Nurses, Doctors, and Pharmacist.

Hence, the correct answer is option 2.

The question figure is embedded in the below figure.

Hence, the figure in option 4 is the correct answer.

Total share = P + Q + R = 2100

P's share is half of the combined share of Q and R.

P = ½ (Q + R)

⇒ 2P = Q + R                                                        ...(i)

Q’s share is one-fourth of the combined share of P and R.

Q = ¼ (P + R)

⇒ 4Q = P + R                                                        …(ii)

Now,

P + Q + R = 2100

⇒ P + 2P = 2100  from  (i)

⇒ 3P = 2100

⇒ P = 700                                                              …(iii)

Again,

Q + P + R = 2100

⇒ Q + 4Q = 2100 from (ii)

⇒ 5Q = 2100

⇒ Q = 420                                                             …(iv)

From (iii) and (iv),

P + Q + R = 2100

⇒ 700 + 420 + R =2100

⇒ 1120 + R = 2100

⇒ R = 2100 - 1120

⇒ R = 980

Now,

R - P = 980 -700

R - P = 280

Hence, R's share is 280 more than that of P.

Using the symbols in the below table, we can draw a family tree.

The possible family tree is as follows:

Hence, Q is the grandson of W.

The pattern followed here is:

Hence, 534 is the correct answer.

The pattern followed here is:

and

Now, combining the codes from the above two words, we get the code for NEPTUNE.

Hence, NEPTUNE is coded as 4781347.

The pattern followed here is:

Each letter and its respective code is a reverse letter-pair.

Similarly,

Hence, the code for CLIMATE is XORNZGV.

The least possible Venn diagram is as follows:

Explanation:

I. All women are singers → False (it is possible but not definite)

Possibility diagram:

II. All singers are women → False (it is possible but not definite) 

III. Some engineers are women → True (All women are engineers)

Hence, only conclusion III follows.

The pattern followed here is:

(15, 102, 313) → (15, 15 × 7 - 3, 15 × 21 - 2)

Let's check each option:

1) (8, 53, 164) → (8, 8 × 7 - 3, 8 × 21 - 4)

2) (5, 32, 121) → (5, 5 × 7 - 3, 5 × 21 + 16)

3) (9, 60, 185) → (9, 9 × 7 - 3, 9 × 21 - 4)

4) (11, 74, 229) → (11, 11 × 7 - 3, 11 × 21 - 2)

Hence, (11, 74, 229) is the correct answer.

The pattern followed here is:

Sum of all digits = 17

Let's check each option.

1)5 + 4 + 2 + 1 + 5 = 17

2)1 + 2 + 3 + 4 + 7 = 17

3)8 + 3 + 1 + 1 + 5 = 18

4)4 + 3 + 2 + 1 + 7 = 17

Hence, 83115 is the correct answer.

In the first position of the dice, the faces containing 1 and 2 are adjacent to that containing 3.

In the second position of the dice, the faces containing 1 and 2 are adjacent to that containing 5.

Therefore, 3 is on the face opposite to the face containing 5.                             ...(i)

Combining the first and third positions of the dice, we can see that 1, 3, 5, and 6 are adjacent to 2.

Now, the only number left is 4.

Therefore, 4 is on the face opposite to the face containing 2.                              ...(ii)

From (i) and (ii), we obtain the following pairs of opposite faces:

a) 3 - 5

b) 2 - 4

The only pair of numbers left is 1 - 6.

Hence, 6 must be on the face opposite to the one having 1.

16 - 6 + 12 × 3 ÷ 4 = 18

Interchanging 6 and 4:

16 - 6 + 12 × 3 ÷ 4

= 16 - 4 + 12 × 3 ÷ 6

= 16 - 4 + 12 × 0.5

= 16 - 4 + 6

= 22 - 4

= 18

Hence, the correct answer is '6 and 4'.

Ice cream is usually served in a cone.

Similarly, soup is usually served in a bowl.

Hence, soup is the correct answer.

When unfolded, the paper will look like the following figure:

Hence, the figure in option 4 is the correct answer.

Let's check each option.

1) abdbacdb/abdbacdb/abdbacdb/abdb → follows a pattern i.e., abdbacdb.

2. abdbacdb/dbdaacbb/abdbacdb/abdb → doesn't follow a pattern

3) abcbaddb/abdbacdb/abdbbcdb/abda → doesn't follow a pattern

4) abdbacdb/abddacbb/abdbacdb/abdb → doesn't follow a pattern

Hence, the correct answer is 'dcabdbab'.

Given:

AS = 8 cm, BC = 11 cm and CR = 5 cm,

Concept used:

If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Formula used:

AB + CD = AD + BC

Calculation:

⇒ CR = CQ = 5 cm

⇒ BQ = BC - CQ = 11 - 5 = 6 cm

⇒ BQ = BP = 6 cm       ----(1)

⇒ AS = AP = 8 cm      ----(2)

Therefore,

AB = AP + BP = 8 + 6 = 14

Given:

Radius of cylinder = 7cm

Curved surface area = 4400cm²

Formula used:

Curved surface area of the cylinder = 2πrh

The volume of cylinder = πr²h

where r → radius 

h → height of the cylinder

Calculation:

Curved surface area = 2πrh

⇒ 2πrh = 4400

⇒ πrh = 2200

Volume = πr²h

⇒ πrh × r = 2200 × 7 = 15400 cm³

Given:

sinθ + cosθ + 1 + cosθ.sinθ.tanθ + cos²θ - sinθ

Formula used:

sin2θ + cos2θ = 1

Tan θ = sinθ/cosθ 

Calculation:

sinθ + cosθ + 1 + cosθ.sinθ.tanθ + cos2θ - sinθ

⇒ sinθ + cosθ + 1 + cosθ.sinθ(sinθ/cosθ) + cos²θ - sinθ

⇒ sinθ + cosθ + 1 + cosθ.sin²θ/cosθ + cos²θ - sinθ

⇒ cosθ + 1 + sin²θ + cos²θ 

⇒ cosθ + 2

Calculation:

Total Demand of motorcycles of companies A = 100

Total Demand of motorcycles of companies D = 125

Total Demand of motorcycles of companies A and D = 100 + 125 = 225

Production of motorcycles of computer C = 135

Ratio of the total Demand of motorcycles of companies A and D taken together to the Production of motorcycles of computer C = 225 : 135

⇒ 5 : 3

∴ The required ratio is 5 : 3

Given:

3 - 2sin²θ - 3cosθ = 0

Formula: 

sin2θ + cos²θ = 1

Calculation:

⇒ 3 - 2(1 - cos2θ) - 3cosθ = 0

⇒ 3 - 2 + 2cos2θ - 3cosθ = 0

⇒ 2cos2θ - 3cosθ + 1 = 0

⇒ 2cos2θ - 2cosθ - cosθ + 1 = 0

⇒ 2cosθ(cosθ - 1 ) - 1(cosθ - 1) = 0

⇒ (2cosθ - 1)(cosθ - 1 ) = 0

⇒ cosθ = (1/2), cosθ = 1

⇒ cosθ = (1/2)

⇒ cosθ = cos60°

⇒ θ = 60°

Now, (2cosecθ + tanθ)

⇒ 2cosec60° + tan60°

⇒ {2 × (2/√3)} + √3

⇒ (4/√3) + √3

⇒ (4 + 3)/√3

⇒ 7/√3

⇒ 7√3/3

Shortcut TrickSince,  0° < θ < 90°, Assume θ = 45, then we have

3 - 2sin245 - 3cos45 = 3 - 2 × 1/2 - 3 × 1/√2 = (2√2 - 3)/√2 ≠ 0

Again, take θ = 60, then

3 - 2sin260 - 3cos60 = 3 - 2 × 3/4 - 3/2 = 3 - 3 = 0 satisfied

Now, (2cosecθ + tanθ) = 2cosec60° + tan60° 

⇒ {2 × (2/√3)} + √3

⇒ 7/√3 =  7√3/3

Given:

a + b + c = 5

(a + b + c)² = 25

Formula used:

(a + b + c)2 =  a2 + b2 + c2 + 2(ab + bc + ca)

a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

Calculation:

⇒ a² + b² + c² + 2(ab + bc + ca) = 25

⇒ 2(ab + bc + ca) = 25 - 33 = -8

⇒ (ab + bc + ca) = (-8)/2 = -4

a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)

⇒ 5 × {33 - (-4)} = 5 × 37 = 185

Given:

a3 + b3 = 110

a + b = 5

Formula used:

(a + b)³ = a³ + b³ + 3ab(a + b)

Calculation:

⇒ (5)³ = 110 + 3 × ab × (5)

⇒ 125 = 110 + 15ab

⇒ ab = 1

So, (a + b)² - 3ab = 25 - 3 = 22

Let the number of students in class B be x.

The total number of students in class A and B = 96

The number of students in class A = the number of students in class B × 140/100

⇒ 1.4x + x = 96

⇒ x = 96/2.4 = 40

The number of students in class A = 40 × 140/100 = 56

Let the average weight of students in class A be y.

⇒ The average weight of students in class B = y × 150/100 = 1.5y

Total average weight of all the students in A and B taken together = 58

According to the question,

y × 56 + 1.5y × 40 = 58 × 96

⇒ y = 48

The average weight (in kg) of the students in B = 1.5y = 1.5 × 48

= 72

Shortcut Trick

⇒ 12y = 96

⇒ y = 8

So, no. of students at A = 7 × 8 = 56 and B = 5 × 8 = 40

Combined average of A and B together

⇒ (2x × 56 + 3x × 40)/96 = 58kg

⇒ 2x × 7 + 3x × 5 = 58 × 12

⇒ 29x = 58 × 12

⇒ x = 24

Average of B = 3 × 24 = 72 kg

Calculation:

The total Production of motorcycles of companies B and D = 230

Demand of motorcycles of all the companies taken together

⇒ 100 + 70 + 110 + 125 + 95 = 500

Required percentage = 100 × 230/500 = 46%

Given:

A + B can complete a work = 16 days

C + A can complete a work = 32 days 

B + C can complete a work = 24 days

Concept used:

Total work = Efficiency × Time 

Calculation:

Let the total work be 96.

(Lcm of 16, 32 and 24 is 96)

Efficiency of (A + B) = 6

Efficiency of (B + C) = 4

Efficiency of (C + A) = 3

Efficiency of 2(A + B + C) = 13

Efficiency of (A + B + C) = 6.5

Work of 12 days = 6.5 × 12 = 78

Remaining work = 96 - 78 = 18

Efficiency of C = 6.5 - 6 = 0.5

Days to complete remaining work = 18/0.5 = 36 days

From the theorem -

4(BL² + CM²) = 5BC²

Calculation:

Total production of motorcycles of companies B, C and E

⇒ 90 + 135 + 120 = 345

The average production of motorcycles of companies B, C and E

⇒ 345/3 = 115

Demand of motorcycles of D = 125

Required percentage = 100 × (125 - 115)/125 = 8%

Given:

AB and CD interest each other at E

CD = 18,  AE = 18 cm, ED = 6 cm

Concept used:

If two chords AB and CD of a circle, intersect inside a circle, then AE × BE = CE × DE

Calculation:

we know that,

AE × EB = CE × ED 

⇒ AE × EB = (CD - ED) × ED

⇒ 18 × EB = (18 - 6) × 6

⇒ EB = 4 cm

Given:

[{(cos9° + sin81°)(sec9° + cosec81°)} / {(sin56°sec34°) + (cos25°cosec65°)}]

Formula:

sin(90 - θ) = cosθ,

cos(90 - θ) = sinθ,

sec(90 - θ) = cosecθ,

cosec(90 - θ) = secθ

Calculation:

⇒ [{ cos9° sec9° + sin81° sec9° + cos9° cosec81° + sin81° cosec81°} / {(sin56°cosec56°) + (cos25°sec25°)}]

⇒ [{1 + sin81° cosec81° + cos9° sec9° + 1} / {1 + 1}]

⇒ [{2 + 1 + 1} / {1 + 1}]

⇒ 4/2 = 2

Given:

3cos2A + 6sin2A = 3

Formula used:

sin²θ + cos²θ = 1

Calculation:

3cos²A + 6sin²A = 3

⇒ 3cos²A + 3sin²A + 3sin²A = 3

⇒ 3 + 3sin²A = 3

⇒ 3sin²A = 0

⇒ A = 0°

Given,

40√5x3 - 3√3y3 = (2√5x - √3y)(Ax2 + Bxy + cy2), ------(1)

Calculation:

Taking L.H.S

⇒ (2√5x)³ - (√3y)³ = (2√5x - √3y)(20x² + 2√15xy + 3y²)   ----(2)

On comparing the eq (1) and eq (2)

A = 20, B =  2√15 , C = 3

put these value in √(B² + C² - A)

⇒√( (2√15)² + 3² - 20) = √49 = 7

Shortcut Trick

When two similar triangles have equal areas, they are congruent.

ΔABC ~ ΔQPR and Area(ΔABC) = Area(ΔQPR) ⇒ ΔABC ≅ ΔQPR.

In congruent triangles, all corresponding sides are equal.

The side AB corresponds to the side QP.

∴ QP = AB = 12 cm.

∴ The correct answer is 12 cm.

Alternate Method

Given:

ΔABC ~ ΔQPR

Area(ΔABC) = Area(ΔQPR) = 914

AB = 12 cm, BC = 6 cm, AC = 9 cm

Formula Used:

For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides:

Area(ΔABC) ÷ Area(ΔQPR) = (AB ÷ QP)² = (BC ÷ PR)² = (AC ÷ QR)²

Calculations:

⇒ Area(ΔABC) ÷ Area(ΔQPR) = (AB ÷ QP)²

⇒ 914 ÷ 914 = (12 ÷ QP)²

⇒ 1 = (12 ÷ QP)²

⇒ √1 = 12 ÷ QP

⇒ 1 = 12 ÷ QP

⇒ QP = 12 cm

∴ The correct answer is 12 cm.

Additional Information

Area Ratio Theorem

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides, altitudes, medians, or angle bisectors.

Similarity vs Congruence

All congruent triangles are similar, but not all similar triangles are congruent. Similarity with an area ratio of 1 implies congruence.

Corresponding Parts

In the notation ΔABC ~ ΔQPR, the order of vertices defines the correspondence: A ↔ Q, B ↔ P, and C ↔ R.

Given:

Anu's spending = 90% of income

Increase in expenditure = 25%

Increase in saving = 30%

Formula used:

Income = Expenditure + Saving

Calculation:

Let the total income of Anu = 100

Expenditure = 90 × 100/100 = 90

Saving = 100 - 90 = 10

Now, Expenditure = 90 × 125/100 = 112.5

Saving = 10 × 130/100 = 13

⇒ 112.5 + 13 = 125.50

Required percentage = 25.5 × 100/100 = 25.5%

Given:

The success to failure ratio = 5 : 2

When the number of failures are 14 more, then the success to failure ratio would have been 9 : 5

Calculation:

Let the successful candidates be 5x and the failure candidates be 2x.

According to Question,

(5x - 14)/(2x + 14) = 9/5

⇒ 25x - 70 = 18x + 126

⇒ x = 196/7 = 28

Total number of candidates who appeared for the examination = 5x + 2x = 7x = 7 × 28 = 196

Alternate Method

 Total students = 5 + 2 = 7 units      ----(1)

When 14 more failed, total students = 9 + 5 = 14 units

As the number of students are the same in both cases, (1) × 2

New ratio →       10 ∶ 4

                                  ↓ 1 unit = 14 students 

second ratio →     9 ∶ 5  

Total number of students = 14 units = 14 × 14 = 196 students

∴ The total number of students is 196.

Additional Information

 Here the total number of students will be the same so if the number of failed students increases then the passed student number will decrease.

${\rm{Month;in;}}2\frac{1}{2}years = \frac{5}{2} \times 12 = 30;month$

Interest is compound 10-monthly so,

Effective rate of interest 

12 months = 15%

1 month = 15/12%

10 months = 12.5%

Effective rate of interest = 12.5% (compounded 10 monthly)

Now, 

When calculated at compound interest

Amount (A) = p(1 + r/100)ⁿ

Where p, r and n are principal, rate and time respectively

A = 4096(1 + 12.5/100)³

A = Rs.5832

Compound Interest = Amount – Principal

 Compound Interest = 5832 – 4096 = 1736

∴, compound interest = Rs.1736

Given:

∠D = 90° 

∠B = 72° , ∠C = 26° 

Concept used:

The angle bisector is a line which divides an angle into two equal parts.

Calculation:

∠A = 180° - 72° - 26° = 82°

∵ ∠BAE is the bisector of ∠A.

⇒ ∠BAE = 82/2 = 41°

∠BAD = 180° - 72° - 90° = 18°

∠DAE = 41° - 18° = 23°

Given:

x²  + 1 = 3x      ---- (1)

Calculation:

As we know that, x + 1/x = N, then (x²  + 1/x²) = N² - 2

On dividing both sides by x in eq (1)

x + 1/x = 3      ---- (2)

⇒ x² + 1/x² = 9 - 2 = 7      ---- (3)

The value of 4[(x² + x^-2)(x² + 5x + 1)]/x

⇒ 4 × [7 × ( 3x + 5x)]/x   (∵ x²  + 1 = 3x   )

⇒ 4 × [21x + 35x]/x

⇒ [56 × 4] = 224

Given:

S.P. of two articles = Rs. 5220 each

Gain% on 1st article = 16%

Loss% on 2nd article = 10%

Formula used:

C.P. of an article = (S.P. × 100)/(100 + gain%)

Calculation:

Selling price of two articles = 5220 × 2 = 10440

Cost price of 1^st article = 5220 × 100/116 = 4500

Cost price of 2^nd article = 5220 × 100/90 = 5800

Cost price of two articles = 4500 + 5800 = 10300

Profit = 10440 - 10300 = Rs. 140

Calculation:

In Company C -

Production of motorcycles = 135

Demand of motorcycles = 110

Required percentage = 25 × 100/110 = 22.72%

Given:

Length of train x = L₁

Length of train y = L₂

Speed of train x = 84 km/h

Speed of train y = 52 km/h

Formula used:

If two objects are running in the same direction, then

Relative speed = S₁ - S₂

If two objects are running in the opposite direction, then

Relative speed =  S1 + S2

Calculation:

Relative speed = 84 + 52 = 136 × 5/18 m/s

Length of train x and y = time × relative speed

Length of train x and y = 12 × 136 × 5/18 = 1360/3

⇒ L₁ + L₂ = 1360/3

⇒ L₁ + {L₁ × (2/3)} = 1360/3

⇒ 5/3 L₁ = 1360/3

⇒ L₁ = 272 m

The correct answer is option 3, i.e. 14th June.

• World Blood Donor Day is celebrated each year on June 14 to raise awareness about blood donation, since its inception in 2005.
• The host country for World Blood Donor Day 2019 is Rwanda and the theme for World Blood Day 2019 is "Safe blood for all".
• The event is one of eight global public health campaigns led by the World Health Organisation (WHO) and serves to “thank voluntary, unpaid blood donors for their life-saving gifts of blood.”
• In May 2005, ministers of health from across the world made a unanimous declaration of commitment and support towards voluntary blood donation during the Fifty-Eighth World Health Assembly and designated World Blood Donor Day an annual event to be held on June 14.

The correct answer is option 3, i.e. TrueCaller.

• Former Flipkart Executive Sandeep Patil was appointed as India Managing Director of Truecaller.
• He served as the head of consumer and commercial lending vertical at Flipkart until his new appointment with Truecaller.
• Sandeep Patil will be leading business strategies to expand the company and increase its revenue.
• He will be supervising the teams based in Delhi, Mumbai and Bengaluru.
• Truecaller Headquarters: Stockholm
• Founded: 2009
• Founders: Nami Zarringhalam and Alan Mamedi

The correct answer is option 1. i.e. 8.

• The Indian National Congress (INC) has won 8 out of the 13 seats.
• BJP has managed to win 2 seats namely Hoshiarpur and Gurdaspur.
• Punjab was among last states to vote in Lok Sabha election 2019 in the seventh phase.
• Punjab sends 13 MPs to Lok Sabha, from Anandpur Sahib, Firozpur, Khadoor Sahib, Hoshiarpur, Amritsar, Ludhiana, Fatehgarh Sahib, Gurdaspur, Bathinda, Sangrur, Patiala, Jalandhar and Faridkot.

The correct answer is option 4, i.e. 1873.

• One of the most vocal amongst the “low-caste” leaders was Jyotirao Phule.
• Satya Shodhak Samaj was a social reform society founded by Jyotirao Phule in 1873
• He set out to attack the 'Brahmans’ claim that they were superior to others since they were Aryans.
• He proposed that Shudras (labouring castes) and Ati Shudras (untouchables) should unite to challenge caste discrimination.
• In 1873, Phule wrote a book named Gulamgiri, meaning slavery.

The correct answer is option 1) i.e. Puducherry.

• Puducherry is a Union Territory which has a Legislative assembly, Council of Ministers and a Lieutenant Governor. Therefore known as a Partial State . Delhi and Jammu and Kashmir are other UT,s which are partial states.
• On November 1, 1954, the French possessions in India were transferred to the Indian Union and Puducherry became a Union Territory.
• In 1963 Puducherry became officially an integral part of India after the French Parliament in Paris ratified the Treaty with India.
• In 1963, the Parliament enacted the Government of Union Territories Act which provides for Legislative Assemblies and Council of Ministers in the Union Territories.
• The Centre is represented by the Lt. Governor.

The correct answer is option 3, i.e. Gujarat.

• Adani Power Mundra is located in the Kachch District in Taluka Mundra of Gujarat.
• The site of Mundra SEZ (Special Economic Zone)  is located in the district of Kachch, bordered by the northern coastline of the Gulf of Kutch.
• Adani Power created history by synchronising the first super-critical technology based 660MW generating unit at Mundra.
• This is the first super-critical generating unit in India. It is a coal-based unit.

The correct answer is Frequency.

Concept: 

Explanation:

From the above explanation, we can see that,

Hertz is the SI unit of frequency and it is represented by symbol Hz

Also 1 Hz = 1 sec^-1

The correct answer is option 1, i.e. Reserve Bank of India.

• Financial Literacy Week is an initiative of RBI to promote awareness on various key topics every year through a focused campaign.
• Financial Literacy Week 2019 was observed from June 3-7 on the theme of “Farmers” and how they benefit by being a part of the formal banking system.
• In order to build awareness and disseminate financial literacy messages to the farming community, focused content in the form of posters and leaflets have been prepared for dissemination.
• Banks have been advised to display the posters and content in their rural bank branches, Financial Literacy Centers, ATMs and websites.
• RBI will undertake a centralized mass media campaign during the month of June on Doordarshan and All India Radio to disseminate essential financial awareness messages to farmers.
• It is RBI’s endeavour to reach out to the farming community and all stakeholders are requested to coordinate and make this financial literacy campaign a success.

RBI HQ- Mumbai

The correct answer is option 3, i.e. Sony.

• Sony has exited the smartphone market in India as it looks to focus on its key markets in Japan, Europe, Hong Kong and Taiwan in order to drive profitability.
• It had ceased sales in India in FY18, but it has committed to continuing customer support operations including after-sales support and software updates for existing customers in India.
• Sony has ceased sales in Central and South America, West Asia, South Asia, Oceania, etc, in FY18.
• In the US and China, Sony has withdrawn from the operator business but will continue selling in the open market.

The correct answer is option 1, i.e. Yuvika-2019.

• Dr K Sivan, Chairman, ISRO inaugurated the Young Scientist Programme (Yuvika-2019) from ISRO Headquarters, Bengaluru in May 2019.
• A total of 110 students representing every State and Union Territory of India are participating in this programme.
• Yuvika Program is primarily aimed at imparting basic knowledge on Space Technology, Space Science and Space Applications to the younger ones with the intent of arousing their interest in the emerging areas of Space activities.
• While inaugurating the programme, Chairman, ISRO, mentioned that it is a very important science programme for students. He said that this programme would help in inculcating scientific temper of the student.

The correct answer is option 1, i.e. Amrita Pritam.

• Amrita Pritam was an Indian maverick writer and poet.
• She is considered the first eminent female Punjabi writer, novelist, and poet of the 20^th century.
• She was honoured with prestigious awards like the ‘Sahitya Akademi,’ ‘Bharatiya Jnanpith,’ and ‘Padma Vibhushan’ among many others.
• Pritam is best remembered for the poignant poem, 'Ajj aakhaan Waris Shah Nu (Today I invoke Waris Shah — "Ode to Waris Shah").
• Her work 'Pinjar' (The Skeleton) (1950) is considered to be the best literature written in the backdrop of Partition of India.
• In the novel, she created the memorable character 'Puro'. The novel was made into a film**, 'Pinjar' in 2003.**

The correct answer is option 1, i.e. Rajasthan.

• Rajasthan government increased the amount of financial assistance given to schools girls under Aapki Beti Scheme.
• Under the Aapki Beti scheme, girls living under the Below Poverty Line (BPL) and whose mother or father or both have died, get annual financial assistance in the state.
• The amount has been increased to 2,100 from Rs 1,100 for the girls studying in class 1 to 8 and for the girls in class 9 to 12, the financial aid has been increased to Rs 2,500 from Rs 1,500.

The correct answer is UAE.

Key Points

• Asian Cup Football tournament was held in the United Arab Emirates (UAE). It was a 28-day long tournament
• There were 24 teams including hosts UAE. Qatar won the tournament by defeating Japan in the final.
• Total prize money was US$14,800,000, with the winners getting$5 million.
• The runners-up got $3 million, while the losing semi-finalists received$1 million.
• All 24 participating teams had also received $200,000.

The correct answer is option 3, i.e. Rahi Sarnobat.

• Rahi Sarnobat claimed victory in the 25m Pistol Women's Final at the 2019 ISSF World Cup in Munich, claiming an Olympic quota place for Tokyo 2020 in the process.
• Saurabh Chaudhary also won a gold medal by setting a new world record in the 10m Air Pistol event.
• India has topped the Munich World Cup medals tally with three gold.
• China is second with one gold, one silver and three bronze medals at the season's third ISSF World Cup in Munich.
• Apurvi Chandela also won the gold in women's 10m air rifle at the ISSF World Cup in Munich.

The correct answer is option 2, i.e. Microsoft Excel.

Key Points

• In Microsoft Excel, a pivot table allows the user to summarize and analyze worksheet data by extracting pieces of data from a much larger data set.
• The Pivot Table feature allows the user to create a cross-tabulation summary of data in which heading can subsequently move to give different views of the data.
• Pivot tables are useful with large amounts of data that would be time-consuming to calculate by hand.
• It flips and sums data in seconds and allows us to perform data analysis and generating reports like periodic financial statements, statistical reports, etc.

The correct answer is option 2, i.e. Rajasthan.

• Sambhar Salt Lake, the largest inland salt lake in India, situated in east-central Rajasthan state, west of Jaipur.
• It represents a depression in the Aravalli Range.
• This inland lake receives water from five rivers, namely Samaod, Khari, Mantha, Khandela, Medtha, and Roopangarh.
• The area occupied by this lake differs from season to season.

The correct answer is option 2, i.e. Thiruvananthapuram.

• Soorya Festival, an annual cultural event organized by the Soorya Stage and Film Society.
• The festival which lasts for more than a hundred days is held in Thiruvananthapuram, the capital city of Kerala.
• Soorya Festival endeavours to achieve "Integration through Culture" and aspires to propagate the rich Indian culture around the globe.
• Nataraja Krishnamoorthy, popularly known as Soorya Krishnamoorthy is the founder of the Soorya Stage and Film Society.
• Krishnamoorthy who was a scientist at ISRO (Indian Space Research Organization) brought Thiruvananthapuram, Kerala, into the cultural and film map of India, through various cultural and film festivals.

The correct answer is option 3, i.e. Lala Lajpat Rai.

• "The shots that hit me are the last nails to the coffin of British rule in India" this quote has been quoted by Lala Lajpat Rai.
• Lala Lajpat Rai is an Indian writer and politician, outspoken in his advocacy of militant anti-British nationalism in the Indian National Congress and as a leader of the Hindu supremacy movement.
• In 1928 he introduced the legislative assembly resolution for the boycott of the British Simon Commission on constitutional reform.
• Lajpat Rai’s most important writings include The Story of My Deportation (1908), Arya Samaj (1915), The United States of America: A Hindu’s Impression (1916), England’s Debt to India: A Historical Narrative of Britain’s Fiscal Policy in India (1917), and Unhappy India (1928).

The correct answer is option 1, i.e. Hyderabad.

• ​National Institute of Nutrition (NIN) is an Indian Public health, Nutrition, and Translational research centre.
• It is located in Hyderabad.
• Under the Indian Council of Medical Research, it is one of the oldest research centres in India.
• Founded by Sir Robert McCarrison in the year 1918 as ‘Beri-Beri’ Enquiry Unit in a single room laboratory at the Pasteur Institute, Coonoor, Tamil Nadu.
• In 1969, it was renamed as National Institute of Nutrition (NIN).

The correct answer is option 4, i.e. Neptune.

Key Points

• Dark, cold and whipped by supersonic winds**, ice giant Neptune** is the eighth and most distant planet in our solar system.
• NASA's Voyager 2 is the only spacecraft to have visited Neptune up close**. It flew past in 1989 on its way out of the solar system.**
• Neptune's atmosphere is made up mostly of molecular hydrogen, atomic helium, and methane.
• Neptune has 13 moons (and one more awaiting confirmation of discovery), which are named after sea gods and nymphs in Greek mythology.
• Neptune has six known rings.

The correct answer is option 3, i.e. $4 million.

• The winners of the 2019 ICC men's World Cup will earn a cash award of $4 million, the highest prize money on offer in the history of the tournament.
• The total prize pot, which sits at $10 million, had seen the runners-up assured of$ 2 million and the losing semi-finalists $ 800,000 each at the end of the 46-day tournament being played across 11 venues.
• England and Wales have previously staged the World Cup in 1975, 1979, 1983 and 1999.
• England Defeated New Zealand on the basis of the number of boundaries each team had hit during the match after the match was ended in a tie

The correct answer is Fold Mountain.

Key Points

• Fold mountains are the most common type of mountain in the world.
• The rugged, soaring heights of the Himalayas, Andes, and Alps are all active fold mountains.
• Earth's hard outer layer is called the crust. It is made up of large interlocking slabs called tectonic plates.
• Fold mountains are created where two or more of Earth's tectonic plates are pushed together.
• At these boundaries, rocks and debris are warped and folded into hills, mountains, and entire mountain ranges.
• The Himalayas stretch through the borders of China, Bhutan, Nepal, India, and Pakistan.

The correct answer is Electrically Erasable Programmable Read-Only Memory

Key Points

• EEPROM stands for Electrically Erasable Programmable Read-Only Memory.
• It is a non-volatile memory in which the information stored Is retained even after the power goes off.
• A special type of PROM in which the information stored in it can be erased by exposing it to an electrical charge at one byte at a time.
• EEPROM generally offers excellent capabilities and performance.
• EEPROMs are constructed as arrays of floating-gate transistors.

The correct answer is option 2, i.e. Ajay Singh.

• SpiceJet's Chairman and MD Ajay Singh were elected to the board of the International Air transport Association (IATA).
• The new board of the global airlines' grouping would be chaired by Lufthansa Group Chief Executive Officer Carsten Spohr, who took charge after the conclusion of the IATA annual general meeting.
• Spohr will be the Chairman of the IATA Board of Governors (BoG) for a one-year.
• SpiceJet became the first Indian low-cost carrier to take membership of the IATA.
• The International Air Transport Association (IATA) is the trade association for the world’s airlines, representing some 290 airlines or 82% of total air traffic.

The correct answer is option 3, i.e. Bengaluru.

• New York-based investment and financial services major Goldman Sachs have pumped in $250 million to construct one of the largest global workspaces in Bengaluru.
• Goldman Sachs Group, Inc. engages in global investment banking, securities, and investment management, which provides a range of financial services to corporations, financial institutions, governments, and individuals.
• The company was founded by Marcus Goldman in 1869 and is headquartered in New York, USA.
• CEO of Goldman Sachs: David Michael Solomon.