SSC CHSL Previous Paper 7 (Held On: 3 Jul 2019 Shift 3) (Previous Year Paper)

• The correct answer is option 1.
• The meaning of the given idiom 'Mad as a hatter' means 'Crazy or deranged; particularly eccentric'.
• Therefore option 1 'eccentric' which means 'deviating from the norm' gives the same meaning as the given idiom.

• The correct answer is Option 3.
• The given jumbled sentences are talking about the launch of a rocket. So the answer begins with sentence B as it is talking about the beginning of the rocket launch. Sentences C & A make paired sentences, as C is talking about the speed & is continued by sentence A.
• This sequence is correctly followed by option 3 'BCAD'.

• The correct answer is option 4.
• The meaning of the given words:
• Instant: A very short period of time; a moment.
• Immediate: happening right away, instantly.
• Current: Existing or occurring at the moment.
• Quick: Moving with speed, rapidity.
• Delayed: Postpone, to put off.
• Therefore, out of given alternatives, the word 'delayed' is the most opposite word and all other words form synonyms to the given word.

• The correct answer is Option 3 'barometer' which means 'An instrument for measuring atmospheric pressure'.
• The meaning of the other words:
• Altimeter: An apparatus for measuring altitude.
• Thermometer: An apparatus used to measure temperature.
• Voltmeter: An instrument for measuring electric potential in volts.

The correct answer is Option 4 i.e. 'Archaeology' which means 'The study of past by excavation and analysis of its material remains'.

• The meaning of other words: 
• Anthropology: The study of humanity.
• Psephology: The predictive or statistical study of elections.
• Geology: The science that studies the structure of the earth.

• The correct answer is Option 1.
• The meaning of the given words:
• Handy: Easy to use, useful.
• Convenient: Of or pertaining to convenience.
• Useless: Without use or possibility to be used.
• Clumsy: Awkward, lacking coordination.
• Hard: having a severe property, strong.
• Therefore, out of given alternatives, the word 'handy' & 'convenient' gives the same meaning.

• The correct answer is Option 4.
• The correct spelling is 'resemble' which means 'To be like or similar to something'.
• The meaning of other words:
• Require: To ask for something; to insist upon.
• Reverse: Opposite, contrary.
• Reproduce: To produce an image or copy of.

The correct answer is option 1)

• Adding water is the agency involved here so, the use of the preposition 'by' is appropriate.
• And if the agency is involved and 'by' is used then, of course, the passive form should be used.
• For that, we need to use the third form of the verb i.e. developed.

The given sentence is in the Active voice.(Subject+verb+object). We must convert it into Passive voice:

• Thus in the Passive voice, The Subject of the Active voice ('The new gardener') is changed into the Object of the Passive voice.
• Similarly, The Object of the Active voice ('the plants') is changed into the Subject (Subject1) of the Passive voice.

In our case of the Present Indefinite (Simple Present) Tense:('looks after')

• The construction of Active Voice here is –

• Therefore, the construction of Passive Voice here will be:

​

Thus, the correct answer is option 4.

• The correct answer is Option 3.
• In the given sentence the action done by the prisoner 'holding fist' is a gesture which means 'An act or a remark made as a formality or as a sign of a attitude.
• Therefore, the word 'gesture' is the suitable word that fits in the given blank.

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

• Thwart: prevent (someone) from accomplishing something.
• Impede: prevent (someone or something) by obstructing them. Hence, both 'thwart' and 'impede' mean the same, so, they are synonyms.
• Aid: help.

The correct answer is option 2) i.e. one of the favourite teacher.

• A plural noun is used after 'one of the'.
• Hence, 'teachers' will be used in the given sentence.

So, the correct sentence will be: Mrs. Sangeeta Malik is one of the favourite teachers of most children in our school.

Note: Most can be used as a determiner, in general**,** to refer to a quantity of an unspecific group of people or things.

E.g. Most students ask questions.

There is no need for placing article 'the' in this situation. So there is no error in the last part of the sentence.

The correct answer is option 2) i.e. Father asked me if I was going keep him waiting all night.

• If the direct speech is in the interrogative form, 'said to' is changed into 'asked'.
• The subject in the reported speech i.e. 'you' is changed according to the object i.e. me of the reporting speech.
• Hence, 'you' will be changed into 'I'.
• And the auxiliary verb in indirect speech will be used according to 'I' i.e. was.
• All these rules are followed in option 2), hence, it will be the correct answer.

The correct answer is option 4) i.e. found violating the law.

• In the given sentence the use of the word 'violated' is wrong.
• 'find' is always followed by 'V4'.
• Hence, in the given sentence 'violating' will be used in place of 'violated'.
• So, the sentence after improvement will be: The civic bodies in the capital have formed teams to crack down on coaching centres found violating the law.

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

• The correct spelling is nervous which means anxious or apprehensive.
• neglect: fail to care for properly.
• nerve: one's steadiness and courage in a demanding situation.

The correct answer is option 4.

The meaning of the idiom is- beyond one's capacity to understand.

The correct answer is option 3.

assert- state a fact or belief confidently and forcefully.

resign- voluntarily leave a job or office.

forgo- go without (something desirable).

claim- state or assert that something is the case, typically without providing evidence or proof.

Contextually option 3 is correct.

The correct answer is option 3 i.e. during about.

During about both can not be used together because this is making the meaning of the sentence overflows

So, for the sentence grammatically correct we need to remove ABOUT from the sentence.

The correct sentence will be-

I expect to return from Singapore during a week's time.

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

A can not be the first sentence because this follows part D.

C starts with contradictory conjunction so, this will not be the first sentence.

D follows Part B.

So, the first sentence will be part B. As B is followed by D so BD will be a combination and this is in the option A so this will be our correct answer.

The correct answer is option 2 i.e. communicative.

RESERVED- slow to reveal emotion or opinions.

placid- not easily upset or excited.

communicative- willing, eager, or able to talk or impart information.

modest- unassuming in the estimation of one's abilities or achievements.

quiet- making little or no noise.

The chosen option shows the opposite meaning of the given word.

• The correct answer is Option 1.
• The correct pronoun to be used in the given blank is 'they' as we are talking about two persons in the passage. The pronoun 'they' is used when referring to more than one person.
• Option 2 is wrong because the pronoun 'we' is used to refer to different groups of people, but always including the speaker.
• Option 3 'them' is wrong because it is the accusative form of 'they', which is used to show the direct object of a verb.
• Option 4 'she' is wrong as it is a singular pronoun whereas we require plural pronoun to fit in the blank.

• The correct answer is Option 2.
• The passage is talking about how the two sisters Kushi & Ankita go to their school. Therefore, the word 'reach' which means 'to arrive at a particular destination' is the correct word to fit in the blank.
• The other verbs 'go' & 'arrive' also give the same meaning but their usage in the given sentence 'go the school', 'arrive the school' does not make proper sense. It would be correct to use if 'to' is placed after these verbs.

• The correct answer is Option 4.
• The correct preposition to be used in the given blank is 'at' which is used to point out specific time, as the time is clearly mentioned in the passage.
• The usage of other prepositions:
• In: Used for unspecific times during a day, month, season, year.
• From: Used to show where somebody/something starts.
• On: Used to express a surface or a contact of something.

• The correct answer is Option 4.
• In the given passage, the school bags of two sisters are compared with their torses (human body excluding the head and limbs) which means the bags are heavier than their bodies.
• Therefore, the correct word to be used in the blank is 'than' which is used in the comparison.

• The correct answer is Option 2.
• The given passage is talking about two sisters going to school. Therefore, the use of the word 'daily' makes sense in the given blank.
• Other words when used in the given blank do not give meaningful sentence.

The pattern followed here is:

7 : 729

7 + 2 = 9 and 9³ = 729

Similarly,

8 : 1000

8 + 2 = 10 and 10³ = 1000

Hence, the correct answer is 8 : 1000.

Hence, option 2 is the correct answer.

Sisters can be a mother of another person.

Mothers can be a sister of another person

Both are female.

Here, the relation between Women, sisters and mothers is shown in following diagram.

Hence, option 2 is correct.

Glaucoma is the disease of the eye.

Similarly, Arthritis is the disease of the joints

Hence, the correct answer is Joints.

The given expression is:

20 + 5 × 3 ÷ 3 – 1 = 14

1. Interchanging the sign ÷ by +

20 ÷ 5 × 3 + 3 – 1 (By applying BODMAS rule)

= 4 × 3 + 3 -1

= 12 + 3 -1

= 15 – 1

= 14

2)  Interchanging the sign ÷ by ×

20 + 5 ÷ 3 × 3 – 1 (By applying BODMAS rule)

= 20 + 5 - 1

= 25 - 1

= 24 ≠ 14

3) Interchanging the sign × by +

20 × 5 + 3 ÷ 3 – 1 (By applying BODMAS rule)

= 20 × 5 + 1 - 1

= 100 + 1 - 1

= 101 – 1

= 100 ≠ 14

4) Interchanging the sign × by -

20 + 5 - 3 ÷ 3 × 1 (By applying BODMAS rule)

= 20 + 5 - 1 × 1

= 20 + 5 - 1

= 25 – 1

= 24 ≠ 14

Hence, the correct answer is ÷ and +.

179, 173 and 181 are prime numbers but 182 is a composite number.

Hence, 182 is the odd one among the given options.

Bleat – is the sound of sheep

Larva – is an immature form of an insect

Croak – is the sound of frog

Bark – is the sound of dog

Hence, the correct answer is Larva.

The pattern followed here is:

Similarly,

Hence, the code for EXAMPLE is “DWZLOKD”.

The pattern followed here is:

Similarly,

Hence, the code for VISCOUS is “229193152119”.

The pattern followed here is:

Hence, the letter cluster that will come next is LSH.

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

Statement: P + R ÷ T – K × O × C

P + R means “P is the brother of R”. R ÷ T means “R is the sister of T”. T – K means “T is the husband of K”. K × O means “K is the mother of O”. O × C means “O is the mother of C”

Hence, P is the Paternal Uncle of O.

The pattern followed here is:

One shape is introduced clockwise in each step starting from the upper-left quadrant and it is shaded in the next step and unshaded in the remaining steps.

The order of introduction of shapes: triangle (upper-left quadrant), square (upper-right), pentagon (lower-right), hexagon (lower-left)

Thus, the required figure will have a new shape (hexagon) in the lower-left quadrant and the shape in the lower-right quadrant will be shaded.

Hence, the figure in option 2 will be the next one in the series.

The face of 4 dots is common to both the positions of the given dice.

1 and 5 are adjacent to 4 in the first position.

2 and 6 are adjacent to 4 in the second position.

Now, the only number left is 3.

Therefore, there must be three dots in the face opposite to that of the face containing four dots.

Hence, if four dots are at the bottom, then three dots will be on the top.

The pattern followed here is:

Similarly,

Hence, the code for SMARTER is DPVUUHW.

1. H C D E P C K H H C D E P D K F H C C E P C K F → doesn't follow any pattern

2) H D C E P C K F H C D E P F K F H C D E P C D F → doesn't follow any pattern

3) H C C E P C K F H C D E P F K F H C D E P C D F → doesn't follow any pattern

4) H C D E P C K F / H C D E P C K F/ H C D E P C K F → follows a pattern i.e., HCDEPCKF

Hence, the sequence CDFHCDK will complete the given series.

Total triangles are:

AFG, AFR, AGR, AHS, AIS, AHI, ABT, AOT, ABO, EJU, EUK, EJK, ELV, EMV, ELM, EOW, EDW, EOD, CPY, CQY, CQP, CNX, CMX, CMN, CDW, COW, CDO, COE, CDE.

Hence, the total triangles are 29.

The question figure is embedded in the below figure:

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

The pattern followed here is:

Hence, LMPS is different from other options.

First team (suppose A) will play 13 matches with each other. 

Second team (suppose B) will play 12 matches and not 13 because team B has to play a match with a team only once. If it plays 13 matches then it is repeating its match with team A.

Like this the last team will play only one match

Hence, the calculation will be

13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 91

Or, you can use direct formula,

(14 × 13)/2 = 91. where 14 is the no. of teams.

Hence, 91 matches will be played in the tournament.

Least possible venn diagram is shown below:

Conclusions:

I. Some cakes are breads → True (All breads are cakes.)

II. Some breads are eggs → False (it is possible but not definite)

III. No bread is an egg → False (it is possible but not definite)

Conclusion II and III form a complementary pair.

Hence, Conclusion I and either conclusion II or III follow.

The pattern followed here is:

Similarly,

Hence, RSXO is the correct answer.

The steps in the completion of the organization of the World Cup tournament are as follows:

4. Finalising the participating teams
5. Organising the World Cup
6. World Cup semi-final matches
7. World Cup finals match
8. Winner of the World Cup

Hence, the meaningful order is 4, 3, 1, 2, 5.

Fans operate with the help of electricity

Similarly,

Vehicles operate with the help of Diesel.

Hence, Vehicles : Diesel is the correct answer.

Total age of mother and son is

Mother + Son = 60     …(i)

Difference in age of mother and son is

Mother - Son = 30     …(ii)

Adding equation (i) and (ii)

Mother + Son = 60

Mother - Son = 30

Mother = 45

Hence, the age of mother is 45 years.

Given:

x + y + z = 19

x2 + y2 + z2 = 133

Formula used:

(x + y + z)² =  x2 + y2 + z2 + 2xy + 2yz + 2zx

x3 + y3 + z3 - 3xyz = (x + y + z)(x² + y² + z² - xy - yz - zx)

Calculation:

(x + y + z)² = 19²

⇒ x² + y² + z² + 2(xy + yz + zx) = 361

⇒ 133 + 2(xy + yz + zx) = 361

⇒ 2(xy + yz + zx) = 361 - 133 = 228

⇒ xy + yz + zx = 114

x³ + y³ + z³ - 3xyz

⇒ (x + y + z)(x² + y² + z² - xy - yz - zx) = 19 × (133 - 114) = 361

Calculation:

Total expenditure of the company in 2014, 2016 and 2017

⇒ 175 + 275 + 300 = 750

Total income of the company in 2014, 2016 and 2017

⇒ 225 + 325 + 350 = 900

The ratio of total expenditure to total income of the company in 2014, 2016 and 2017 = 750 : 900 = 5 : 6

Calculation:

Expenditure in year 2014 = 175

Expenditure in year 2015 = 250

Percentage increment = (250 - 175) × 100/175 = 42.85%

In year 2015, expenditure more than 40% as compared to the Expenditure in the previous year.

Given:

8(x + y)3 - (x - y)3 = (x + 3y) (Ax2 + Bxy + Cy2)

Formula used:

a3 - b3 = (a - b)(a2 + ab + b2)

Calculation:

8(x + y)3 - (x - y)3 

⇒ {2(x + y)}³ - (x - y)³

⇒ [2(x + y) - (x - y)] [(2(x + y))² + 2(x + y) × (x - y) + ((x - y))²]

⇒ (x + 3y)(4x² + 4y² + 8xy +2x² - 2y² + x² + y² - 2xy) 

⇒ (x + 3y)(7x² + 6xy + 3y²)

Therefore,

8(x + y)³ - (x - y)³ = (x + 3y) × (7x2 + 6xy + 3y2).

Now the Value of (A - B - C) = 7 - 6 - 3

⇒ -2

Calculation:

ΔABC ~ ΔDBE so,

(AB/DB)² = (BC/BE)2 = (AC/DE)2 = (area of ΔABC/area of ΔDBE)

⇒ (5/3)² = area of ΔABC/18

⇒ Area of ΔABC = 50

Shortcut Trick

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

√(Area ΔABC / Area ΔQPR) = AC / QR

√(9 / 4) = 9 / QR

3 / 2 = 9 / QR

3 × QR = 18

QR = 6 cm

∴ The correct answer is 6 cm.

Alternate Method

Given:

ΔABC ~ ΔQPR, Area(ΔABC)/Area(ΔQPR) = 9/4, AB = 12 cm, BC = 6 cm, AC = 9 cm

Formula Used:

If Δ1 ~ Δ2, then Area(Δ1) / Area(Δ2) = (Side₁ / Corresponding Side₂)²

Calculations:

Since ΔABC ~ ΔQPR, the corresponding sides are determined by the order of vertices:

⇒ AB corresponds to QP

⇒ BC corresponds to PR

⇒ AC corresponds to QR

Using the property of areas of similar triangles:

⇒ Area(ΔABC) / Area(ΔQPR) = (AC / QR)²

⇒ 9 / 4 = (9 / QR)²

Taking square root on both sides:

⇒ √(9 / 4) = 9 / QR

⇒ 3 / 2 = 9 / QR

⇒ 3 × QR = 9 × 2

⇒ 3 × QR = 18

⇒ QR = 18 / 3

⇒ QR = 6 cm

∴ The correct answer is 6 cm.

Additional Information

Ratio of Areas Theorem

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

Perimeter of Similar Triangles

The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides: P1 / P2 = s1 / s2.

SSS Similarity Criterion

If the corresponding sides of two triangles are in the same ratio, then their corresponding angles are equal and the triangles are similar.

Given:

C.I. = Rs. 4167

Time period = 3 years

Rate of interest = 15%

Formula used:

In case of compound interest,

C.I. = P{(1 + R/100)^T - 1}

In case of Simple interest,

S.I. = (P × R × T)/100

where P → Principal

R  → Rate of interest

T  → Time period

Calculation:

C.I = P × [(1 + 15/100)3 - 1]

4167 = P × [(1.15)³ - 1]

⇒ 0.52P = 4167

⇒ P = 8000

Simple interest = 8000 × 24/5 × 15/100 = 5760

Formula used:

cosec²θ - 1 = cot²θ 

Calculation:

⇒ $\left[ {\frac{1}{{1; + ;cosecθ ;}} - ;\frac{1}{{1 - ;cosecθ }}} \right]\cos θ = 2$

⇒ $\left[ {\frac{{1; - ;cosecθ ; - ;1; - ;cosecθ }}{{1 - ;cose{c^2}θ }}} \right]cosθ = 2$

⇒ $\left[ {\frac{{ - ;2;cosecθ }}{{1 - ;cose{c^2}θ }}} \right]\cos θ = 2$

⇒ $\left[ {\frac{{2cosecθ }}{{cose{c^2}θ - 1}}} \right]cosθ = 2$

⇒ $\left[ {\frac{{\frac{2}{{sinθ }}}}{{co{t^{2;}}θ }}} \right]cosθ = 2$

⇒ $\left[ {\frac{{\frac{2}{{sinθ }}}}{{\frac{{co{s^2}θ }}{{si{n^2}θ }}}}} \right]cosθ = 2$

⇒ tanθ = 1

So, θ = 45°

To find,

Sin²θ + cot²θ + sec²θ

⇒ Sin²45° + cot² 45° + sec²45°

⇒ 1/2 + 1 + 2 = 7/2

Additional Information

Given:

S.P. of an article = X

If S..P. = $33\frac{1}{3}$% , then, loss = 20%

Formula used:

S.P. = {C.P. × (100 - loss%)}/100

Profit = S.P. - C.P.

Calculation:

Let the C.P. be Rs. 100.

According to question,

⇒ 33.33% = 80

⇒ 100% = Rs. 240

Profit = 240 - 100 = 140

Profit percentage = 140 × 100/100 = 140%

According to question,

AB is the diameter.

OC and OD are radius of the circle.

∠BOC = 48° and ∠AOD = 100°.

Here,

∠AOD + ∠BOD = 180°        (Sum of angles on a straight line is 180°)

∠BOD = 180° - 100° = 80° 

Now, 

in triangle OCD,

OC and OD are radius of the circle and are equal.

∴ ∠OCD = ∠ODC

∠DOC = 80 + 48 = 128°

Now,

∠DOC + ∠OCD + ∠ODC = 180°

2∠OCD = 180 - 128 = 52°

∠OCD = 52/2 = 26°

Now,

According to theorem,

∠OCD + ∠COB = ∠CEB        (Sum of interior opposite angles is

equal to the exterior angle)

∠CEB = 48 + 26 = 74°

Given:

Speed of Train₁ = 72km/h

Speed of Train₂ = 108km/h

Time taken to cross each other = 10sec

Formula used:

If the two bodies having speed S₁ and S₂, travelling in same direction, then their Relative speed = S1 - S2

If the two bodies having speed S1 and S2, travelling in opposite direction, then their Relative speed = S1 + S2

Time = Distance traveled / Speed  

Calculation:

Relative speed = 72 + 108 = 180 km/hr 

But 1 km/hr = 5/18 m/s

Relative speed = (180) × (5/18) = 50 m/s

When both train (length l) crosses each other

Time = distance/speed

10 = (l + l)/50

l = 250 m

Therefore, the time taken to cross the platform by the first train 

t = (250 + 350)/[72 × (5/18)]

t = 600/20 = 30 sec.

The time taken to cross the platform is 30 sec.

Calculation:

Expenditure in 2015 = 250

Total income of company = 225 + 280 + 325 + 350 + 350 = 1530

Average income of company = 1530/5 = 306 

Required percentage = (306 - 250) × 100/250 = 22.4%

Given:

The length of a rectangular park  = 20m more than breadth

the cost of fencing the park at Rs. 53 per meter = Rs. 21200

Formula used:

Perimeter of rectangle = 2(l + b)

Area of rectangle = l × b

where l → length and b →  breadth

Calculation:

Let the breadth of the park be x.

Length = 20 + x

Perimeter of park = 21200/53

⇒ 2(x + 20 + x) = 400

⇒ x = 90

Length = 20 + 90 = 110m

Area of park = 110 × 90 = 9900 m2

For divisible by 72, number should be divisible by 2 and 3.so,

⇒ 4 + 6 + 7 + 8 + 9 + x + 5 + 3 + 1 + y = 43 + x + y

We take the maximum value of x = 9

So, 43 + 9 + y = 52 + y

We take the value of y = 2 for divisible by 2 and 3.

⇒ 2x + 5y  = 2 × 9 + 5 × 2 = 28

Given:

Discount = 30% and 20%

M.P. = Rs. 1250

Formula used:

Successive Discount = (x + y - xy/100)%

S.P. = M.P. × (100 - Discount%)/100

Calculation:

S.P. = 1250 × (100 - 30)% × (100 - 20)% 

⇒  1250 × 70% × 80% = Rs. 700

Shortcut Trick

Substitute the standard trigonometric values directly into the expression.

4 × (1/√3)² + 1/4 × (1)² + (1/8) × [3 × (1/2) / (√3/2 × √3/2)] − (1/2 × 1/2)

4/3 + 1/4 + (1/8 × (3/2)/(3/4)) − 1/4 ⇒ 4/3 + 1/4 + (1/8 × 2) − 1/4

4/3 + 1/4 + 1/4 − 1/4 = 4/3 + 1/4 = 19/12.

∴ The correct answer is 19/12.

Alternate Method

Given values:

tan 30° = 1/√3, sin 90° = 1, cot 30° = √3, cos 45° = 1/√2, sin 60° = √3/2, cos 30° = √3/2, cos 60° = 1/2, sin 30° = 1/2.

Expression: 4tan²30° + 1/4 sin²90° + (1/8) × (cot²30°cos²45° / sin60°cos30°) − cos60°sin30°

⇒ 4 × (1/√3)² + 1/4 × (1)² + (1/8) × [(√3)² × (1/√2)² / (√3/2 × √3/2)] − (1/2 × 1/2)

⇒ 4 × (1/3) + 1/4 + (1/8) × [(3 × 1/2) / (3/4)] − 1/4

⇒ 4/3 + 1/4 + (1/8) × [ (3/2) / (3/4) ] − 1/4

⇒ 4/3 + 1/4 + (1/8 × 2) − 1/4

⇒ 4/3 + 1/4 + 1/4 − 1/4

⇒ 4/3 + 1/4 = (16 + 3) / 12 = 19/12.

∴ The correct answer is 19/12.

Additional Information

Trigonometric Ratios of Complementary Angles

Note that sin 60° = cos 30° and sin 30° = cos 60°. These are based on the identity sin θ = cos(90° − θ).

Standard Trigonometric Identities

Common identities include sin²θ + cos²θ = 1 and 1 + tan²θ = sec²θ.

Concept used:

Calculation:

5 ÷ 10 of 10 × 4 + 4 ÷ 4 of 4 × 10 - (10 - 4) ÷ 16 × 4 = ?

⇒ 5 ÷ 100 × 4 + 4 ÷ 16 × 10 - 6 ÷ 16 × 4 = ?

⇒ 1/5 + 10/4 - 3/2 = ?

⇒ ? = 24/20 = 1.2

Given:

S.P. of an article = Rs. 360

Discount = 20%

If a discount not allowed, then Profit% = 50%

Formula used:

M.P. = {S.P. × 100}/{(100 - Discount%)}

If profit % is given, then C.P. = S.P. × 100/(100 + profit%)

Calculation:

Marked price = 360 × 100/80 = 450

If discount is not given, then S.P. = Rs. 450

Profit = 50%

⇒ Cost price = 450 × 100/150 = Rs. 300

Let the length of CD be x.

x + x - 2 = 12

⇒ x = 7

Length of BD = 7 - 2 = 5  

From angle bisector property -

AB/5 = 21/7

⇒ AB = 15 cm

Calculation:

The total income of the company in 2015, 2017 and 2018

⇒ 280 + 350 + 350 = 980

The total expenditure in the five years

⇒ 175 + 250 + 275 + 300 + 325 = 1325

Required percentage = 100 × (1325 - 980)/1325 = 26.03%

Given:

tan x = cot (60° + 6x)

Concept used:

tanθ = cos(90 - θ)

Calculation:

cot (90° - x) = cot (60° + 6x)

⇒ 90° - x = 60° + 6x

⇒ 7x = 30

⇒ x = 30°/7

it is given that,

9a² + 16b² + c² + 25 = 24(a + b)

⇒ 9a² + 16b² + c² + 25 - 24a - 24b = 0

⇒ (3a)² - 24a + 16 + (4b)² - 24b + 9 + c² + = 0

⇒ (3a)² - 2(3a)(4) + (4)² + (4b)² - 2(4b)(3) + 3² + c² = 0

using formula,

x² - 2xy + y² = (x - y)²

(3a)² - 2(3a)(4) + (4)² = (3a - 4)²

(4b)² - 2(4b)(3) + (4)² = (4b - 3)²

now, (3a)² - 2(3a)(4) + (4)² + (4b)² - 2(4b)(3) + 3² + c² = (3a - 4)² + (4b - 3)² + c² = 0

⇒ (3a - 4)² + (4b - 3)² + c² = 0

this is possible only when

3a = 4, 4b = 3 and c = 0

so, 3a + 4b + 5c = 4 + 3 + 0 = 7

hence, value of 3a + 4b + 5c = 7

Let the price of an article be Rs. x.

The price of an article at the end of 4^th year = x × 1.2 × 1.2 × 1.2 × 1.2 

The price of an article at the end of 3^rd year = x × 1.2 × 1.2 × 1.2

Difference of the third and fourth years = 259.20

⇒ (x × 1.2 × 1.2 × 1.2 × 1.2) - (x × 1.2 × 1.2 × 1.2) = 259.20

⇒ x × 1.2 × 1.2 × 1.2 × 0.2 = 259.2

⇒ x × 1.2 × 1.2 = 1080

40% of the price (in Rs.) at the end of second year = x × 1.2 × 1.2 × 40/100 = 1080 × 40/100 = Rs. 432

Urban students in the class = 80 × 5/8 = 50

Rural students in the class = 80 × 3/8 = 30

Let the average score of urban students be x.

So, average score of rural students = 1.4x

Total score of urban students = 50x

Total score of rural students = 30 × 1.4x = 42x

Total score of all students = 69 × 80 = 5520

⇒ 50x + 42x = 5520

⇒ x = 5520/92 = 60

Average score of rural students = 1.4 × 60 = 84

Given:

18 men can complete a work in 9 days

No.of men joined after 5 days = 6

Concept used:

(M₁ × d₁ × h₁)/w₁ = (M₂ × d₂ × h₂)/w₂

Where M = no. of men, D = no of days, H = no. of hours, and w amount of work

Calculation:

⇒ 18 × 9 = 18 × 5 + 24 × d

⇒ d = 3 days

The correct answer is option 1 i.e Amitabh Bachchan

Sayaji Ratna Award:

• This award is given annually to the personalities for their outstanding contribution in the fields of business, sports, arts, humanity, education, governance and medicine.
• Amitabh Bachchan was awarded the third Sayaji Ratna Award, established in the memory of erstwhile Baroda ruler Sayajirao Gaekwad III.
• Earlier this award was given to Infosys co-founder N R Narayana Murthy and to industrialist Ratan Tata.

The correct answer is option 2 i.e 22 May

• May 22 is celebrated as the International Day for Biological Diversity (IDB) to increase understanding and awareness of biodiversity issues.
• The theme for International Day of Biodiversity 2019 is Our Biodiversity, Our Food, Our Health.

The correct answer is option 3 i.e Gresham's law

• Gresham's law states that “bad money drives out the good money”.
• Good money here means any currency or coin whose accepted value (legal tender value) and the value of the commodity from which it is made does not differ much.
• Bad money means the coin or currency whose accepted value (legal tender value) is much higher than the value of the commodity from which it is made.
• For example-
• If a coin has a legal tender value of Rs 100 and the silver metal worth Rs 100 is used to make the coin, then it will be considered as good money in Gresham’s law.
• If a coin has a legal tender value of Rs 100 and the alloy worth Rs 5 is used to make the coin, then it will be considered as bad money in Gresham’s law.
• Thus, he said that if both kinds of money are available with the public, having the same legal tender value, then people would start hoarding good money and would use bad money for the transaction.
• So, as per our example, people will start hoarding silver coins for their intrinsic value and start using alloy coins for transactions.
• Thus, eventually, bad money will drive out good money.

Pareto efficiency:

• Pareto's efficiency is defined as the economic situation when the circumstances of one individual cannot be made better without making the situation worse for another individual.

Marshall's scissors analysis

• This combined the demand and supply i.e utility and cost of production.

Multiplier Effect

• The multiplier effect refers to the increase in final income arising from any new injection of spending.

The correct answer is option 2 i.e Akbar

Battle of Haldighati: 

• The Battle of Haldighati was fought in the year 1576 AD.
• The battle was fought between Rana Pratap Singh, the Hindu Rajput ruler of Mewar in Rajasthan and Raja Man Singh of Amber, the general of the Mughal Emperor Akbar.
• At present Haldighati is a tourist spot in Rajasthan.Haldighati is a mountain pass in the Aravalli Range of Rajasthan in western India which connects Rajsamand and Pali districts

The correct answer is option 3 i.e Celestial Bodies

• Celestial Bodies book was written by Jokha Alharthi, the first Gulf writer to win the award and the first female writer from Oman to be translated into English.
• Celestial Bodies follows the story of three sisters in Oman as the cultural landscape of the nation slowly evolves.
• The book confronts Oman's history of slavery, which was abolished in the country only in 1970

The correct answer is Bihar.

• Census 2011 is the 15th census of India and 7th after the independence.
• The motto of the 2011 Census is " Our Census, Our future".
• The first census took place in 1872.

The correct answer is option 2 i.e Shuja-ud-Daula

Rohilla War

• The first Rohilla war was fought in the year 1774.
• The war was fought between the Shuja-ud-Daula, Nawab of Awadh and the Rohillas (Afghans)
• The Nawab was supported by the British East India Company under the governor-general of Bengal, Warren Hastings.
• In the war, the Rohillas were defeated.

The correct answer is option 4 i.e Rose-ringed Parrot

The correct answer is option 1 i.e 5^th

SAFF Women's Championship:

• The SAFF 2019 Women's Championship is the 5^th edition of the SAFF. 2019 edition was hosted by Nepal.
• The current SAFF members are Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.
• It is held every two years. India Won all the edition of the 2019 tournament.
• India defeated Nepal to win the fifth title in a row.

The correct answer is option 3 i.e Twenty lakhs

• Panchayat” means an institution of self-government constituted under article 243B of the Indian Constitution for the rural areas.

Article 243(1)

• They shall be constituted in every State, Panchayats at the village, intermediate and district levels in accordance with the provisions. Panchayats at the intermediate level may not be constituted in a State having a population not exceeding twenty lakhs.

The correct answer is option 2 i.e The Supreme Court

Article 71 of Constitution:  Matters relating to, or connected with, the election of a President or Vice-President

• All doubts and disputes arising out of or in connection with the election of a President or Vice-President shall be inquired into and decided by the Supreme Court whose decision shall be final.
• If the election of a person as President or Vice-President is declared void by the Supreme Court, acts done by him in the exercise and performance of the powers and duties of the office of President or Vice-President, as the case may be, on or before the date of the decision of the Supreme Court shall not be invalidated by reason of that declaration.
• Subject to the provisions of this Constitution, Parliament may by law regulate any matter relating to or connected with the election of a President or Vice-President.

The correct answer is option 4 i.e Transistors

The correct answer is option 3 i.e Buoyant force

CONCEPT:

• Archimedes' principle states that when a body immersed in a fluid, whether fully or partially submerged, the upward buoyant force that is exerted on it, is equal to the weight of the fluid that the body displaces.
• When an object is submerged in fluid fully or partially, an upward force is exerted on the body. This force is known as the buoyant force. Fbuoyant = ρf Vf g

where ρf is the density of the fluid in which the object is submerged, Vf is the volume of the displaced fluid (or volume of the object that is submerged inside the fluid)  and g is the gravitational acceleration.

• When an object is submerged in fluid fully or partially there are two forces, 1. buoyant force 2. weight of the object

and weight of object W = mg = ρo Vo g    where ρo is the density of the object, Vo is the volume of the object, g is the gravitational acceleration.

• Laws of Floatation: The three conditions required for the body to float on water are:

1. The weight of the body in the figure is equal to the buoyant force. (c) (d)
2. The weight of the body is greater than the weight of the fluid displaced i.e. buoyant force.  (b)
3. The weight of the body is less than the weight of the fluid displaced i.e. buoyant force. (a)

Buoyant Force:

• Buoyancy or upthrust is an upward force which is exerted by a fluid that opposes the weight of an immersed object.
• When a body is wholly or partially immersed in a fluid at rest, the fluid exerts pressure on the surface of the body in contact with the fluid. The pressure is greater on lower surfaces of the body than on the upper surfaces as the pressure in a fluid increases with depth. The resultant of all the forces is an upward force called buoyant force.

EXPLANATION:

From the above explanation, we can see that, 

The upward force applied by the fluid on the object when it is submerged in it is called buoyant force.

How it helps the swimmers:

• Buoyancy is the upward force that acts on the swimmer while they are in the water. The pressure from beneath the swimmer is much greater than the pressure above them which allow the swimmer to float. At the surface of the pool, there is less resistance as the fluid is more resistant than air.
• For an object to float, its buoyant force needs to be greater or equal to the weight of the water.

• When an object is floating on water surface then weight of an object is Zero
• Fnet = FGravity – FBuoyant = 0      [ FGravity = FBuoyant ]

The correct answer is option 4 i.e Grace Murray Hopper

The correct answer is option 2 i.e Iodine

The correct answer is option 1 i.e Param Vir Chakra

• ​Gallantry Award is meant for exceptional courage, valour and dignity. In India, Gallantry award are given to the personnel of the forces for their exceptional bravery.
• After Independence, the three Gallantry awards came into force i.e. the Paramvir Chakra, the Mahavir Chakra and the Veer Chakra.
• The Gallantry awards are announced twice in a year i.e on Republic day and on Independence day.
• The order of Precedence of these awards is

1. Param Vir Chakra
2. Ashoka Chakra
3. Mahavir Chakra
4. Kirti Chakra
5. Vir Chakra
6. Shaurya Chakra

Param Vir Chakra:

• The Param Vir Chakra is awarded for most conspicuous bravery or some daring or pre-eminent act of valour or self-sacrifice, in the presence of the enemy, whether on land, at sea, or in the air.
• Param Vir Chakra means "Wheel of the Ultimate Brave".

Ashok Chakra:

• The Ashok Chakra is India's highest peacetime military decoration awarded for valour, courageous action or self-sacrifice away from the battlefield.
• It is the peacetime equivalent of the Param Vir Chakra.

Kirti Chakra:

• The Kirti Chakra is an Indian military decoration awarded for valour, courageous action or self-sacrifice away from the field of battle.
• It may be awarded to civilians as well as military personnel, including posthumous awards. It is the peacetime equivalent of the Maha Vir Chakra

Vir Chakra:

• Vir Chakra is an Indian gallantry award presented for acts of gallantry in the presence of the enemy on the battlefield.

The correct answer is option 3 i.e South Korea.

• Sultan Azlan Shah cup is associated with Hockey.
• The 2019 Sultan Azlan Shah Cup was the 28th edition of the Sultan Azlan Shah Cup. It was hosted by Malaysia.
• Total 6 teams participated in the tournament.
• South Korea beat India by 4-2 in the penalty shootout to lift the title. It was their third title in the history of the tournament.

The correct answer is option 3 i.e Lucknow

The correct answer is option 1 i.e Sachin Tendulkar

• Top 5 batsman who has scored the most international runs are: Sachin Tendulkar, KC Sangakkara, Ricky Ponting, DPMD Jayawardene, JH Kallis

Cricket Governing Body:

• International Cricket Council
• HQ:  Dubai, United Arab Emirates
• Chairperson: Shashank Manohar
• CEO: Manu Sawhney

The correct answer is option 2 i.e Godavari

Polavaram Project:

• Polavaram Project, is a multi-purpose National project on the Godavari River in the West Godavari District in Andhra Pradesh.
• The Polavaram project is intended to stabilise the ayacut and water supply for two crops in a year.
• The project proposes to supply irrigation water for 7.2 lakh acres, generate 960 MW hydropower and lift 80 TMC of water to the Prakasam Barrage on Krishna river. It also aims to supply 23.44 TMC of drinking water to Visakhapatnam.
• ​Recently, the Polavaram irrigation project created two Guinness world records for “pouring the highest amount of concrete" and “largest continuous concrete pour in 24 hours".

The correct answer is option 3 i.e Joko Widodo

• India climbed one spot to 130 out of 189 countries in 2018 human development rankings.
• India inched up one spot to rank 129th out of 189 countries on the 2019 Human Development Index (HDI) released by the United Nations Development Programme (UNDP) in December 2019.
• The rank of top five countries are: 

1. Norway
2. Switzerland
3. Ireland
4. Germany
5. Hongkong

The correct answer is option 1 i.e Gneiss

Metamorphic Rocks: These are those types of rocks that result from the alteration of preexisting rocks in response to changing environmental conditions, such as variations in temperature, pressure, and mechanical stress,

Gneiss

• It is a metamorphic rock form characterized by banding caused by segregation of different types of rock, typically light and dark silicates.
• The "gneissic texture" is the segregation of light and dark minerals.

Slate: 

• Slate is a fine-grained, foliated metamorphic rock created by the alteration of shale or mudstone by low-grade regional metamorphism.
• It can be used for the following purpose like roofing, flooring, and flagging because of its durability and attractive appearance.

Marble:

• It is a metamorphic rock that forms when limestone is subjected to the heat and pressure of metamorphism. It contains the mineral calcite (CaCO3).

Quartzite:

• Quartzite is a metamorphic rock formed when quartz-rich sandstone or chert has been exposed to high temperatures and pressures.

The correct answer is option 1 i.e Andhra Pradesh

• Kolleru Lake is one of the largest freshwater lakes in India located in state of Andhra Pradesh.
• Kolleru is located between Krishna and Godavari deltas