SSC CHSL Previous Paper 1 (Held On: 1 Jul 2019 Shift 3) (Previous Year Paper)

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

• In the given sentence visit is the most appropriate word which means to go to someone or someplace for a specific purpose.
• In the given sentence purpose is mentioned i.e. a former Nazi compound.
• Hence, 'visit' is the correct answer.

Additional Information

• Travel: go from one place to another, typically over a distance of some length 
• Example: The birds are traveling south for the winter.
• Trip: a journey or excursion, especially for pleasure
• Example: We're going on a trip to Norway this summer.
• Stay: a period of staying somewhere, in particular of living somewhere temporarily as a visitor or guest
• Example: They need an assistant who is willing to stay for six months.

The correct answer is option 4) i.e. called.

• The Passive form of 'call' i.e. called will be used here because 'called' to define something.
• E.g. Lucknow is called the city of Nawabs.

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

• 'Every' is used before an amount to indicate how often something happens.
• In the given sentence, it is being said that around 20000 people visit this place in a year. So, 'every' is the most appropriate option to fill in the blank.

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

• The given sentence is in past tense, hence, first 2 options cannot be the answer.
• The subject, here, is plural i.e. Nazis, so, was also cannot be used.
• Thus, 'were' is the most appropriate option to fill in the blank.

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

• concealed means to hide and it fits in the context of the given sentence. Hence, it will be the correct answer.
• Mysterious: difficult or impossible to understand, explain, or identify.
• Sacred: regarded with great respect and reverence by a particular religion, group, or individual.
• Holy: dedicated or consecrated to God or a religious purpose

The correct answer is option 2) i.e. Mr. Puri asked me why I was taking down that fence.

While changing direct speech into indirect speech, interrogative sentences should be changed to assertive sentences.

• Option 1) cannot be the correct answer because a helping verb has been used before the subject.
• In option 3) why and that are used simultaneously which is wrong.
• In option 4) said to is not changed into asked, so, it cannot be the correct answer.

The correct answer is option 4) i.e. celeberation.

• The correct spelling will be 'celebration'.
• All other words are correctly spelt.
• celebrate: acknowledge a significant or happy day or event with a social gathering or enjoyable activity.
• celebrant: a person who celebrates something.
• celebrity: a famous person, especially in entertainment or sport.

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

• Adversary: one's opponent in a contest, conflict, or dispute.
• Rival: a person or thing competing with another for the same objective or for superiority in the same field of activity.
• Assistant: a person who helps in a particular work.
• Supporter: a person who approves of and encourages a public figure, political party, policy, etc.

The correct answer is option 4) i.e. injustice.

• Injustice means an unjust act. In the given sentence it is implied that the writer thought that it was wrong what happened to him but in fact, it was for his betterment.
• Hence, the correct answer is injustice.
• Incentive: a thing that motivates or encourages someone to do something.
• Indication: a sign or piece of information that indicates something.
• Indent: an official order or requisition for goods.

The correct answer is option 4) i.e. as high as.

• As----as is used to compare two things.
• Since we are comparing the price of a house ' as high as ' will be used here.
• Note: there are no phrases as 'so high so, as high to, and so high to' .

The correct answer is Option 1.

Dance to someone's tune means to comply completely with someone's demands. Therefore Option 1 best fits the meaning and all other options are irrelevant to the meaning of the given phrase.

• Option 2 - 'Much of people' is wrong because 'much' is used for the nouns that are uncountable to specify quantity whereas in our case - we are referring to 'people'- Countable noun for which 'many' could have been the right usage.
• e.g: Much of the sugar was wasted.
• e.g: Many people visit this restaurant as its biryani is famous.
  
• Option 3- 'A lot of peoples' doesn't make any sense as
• the noun 'people' does not take a plural from by adding 's'.
• People itself is a collective noun consisting of individuals that form the people.
• Therefore, the most appropriate option is 'A lot of people'.

Correct sentence: A lot of people visit this restaurant as its biryani is famous.

(Alternatively: Lots of people visit this restaurant as its biryani is famous-could have been the correct usage.)

• The correct answer is Option 2 i.e. 'gigantic'.
• The meaning of the given options:
• Miniscule: small, tiny.
• Dwarf: something much smaller than the usual of its sort.
• Gigantic: Very large.
• Therefore, the word 'gigantic' is the antonym and all other options are synonyms.

• The correct answer is Option 2 i.e. 'inevitable'.
• The meaning of the given words:
• Indelible: Difficult to delete, remove, wash away.
• Inevitable: Impossible to avoid or prevent.
• Invincible: Too powerful to be defeated or overcome
• Infallible: Without fault or weakness.
• Therefore, 'inevitable' is the best alternative.

The correct answer is have been propose.

Key Points

• The given sentence is in passive voice. In passive voice, the verb should be in the third form.
• Therefore, change 'have been propose' to 'have been proposed'.

• The correct answer is Option 1.
• Abound means to be full to, overflowing.
• Aggravate: to make worse, to exasperate.
• Afloat: floating.
• Therefore, the word 'abound' fits the blank as the choices can be increased but not aggravate or float.

• The correct answer is Option 4.
• The meaning of the idiom 'leave no stone unturned' is : Try every possible course of action in order to achieve something.
• Therefore, Option 4 is the best alternative and all other options are irrelevant to the meaning of the idiom.

• The correct answer is Option 2.
• Option 1 is wrong because the given sentence is in present tense and use of 'were' is wrong.
• Option 3 is wrong because in this subject and the object have been interchanged.
• Option 4 is wrong because if the active voice is in present perfect tense then the structure followed is 'subject+have+been'.
• Therefore Option 2 follows the structure correctly.

• The correct answer is Option 3 in which the sentence is arranged in an order.
• The sentence is 'Once Akbar asked his courtiers a very strange question. The courtiers were dumb-founded by his question. Akbar glanced at his courtiers in search of an answer. As he looked at them, their heads began to hang low'.

The correct answer is Option 1.

The meaning of the given options: 

• Perpetrate: To do, to commit, be guilty or responsible for a crime.
• Prevent: To stop, to keep from.
• Perform: To execute, to do something.
• Execute: To perform.
• Commit: to do, to perpetrate.

Therefore, 'prevent' is the correct antonym.

The correct answer is 2 i.e. REVEAL.

Key Points 

• Expose- make (something) visible by uncovering it
• Protect - keep safe from harm or injury.
• Reveal- make (previously unknown or secret information) known to others.
• Bury- put or hide underground.
• Hide- put or keep out of sight.
• Thus, the correct answer is reveal

The correct answer is 4 i.e. eagle.

Key Points 

• The other words are incorrectly spelt. The correct words are:
• Early- happening or done before the usual or expected time.
• Earn- obtain (money) in return for labour or services.
• Eerie- strange and frightening.
• Eagle is the right word.

The correct answer is BCDA.

Key Points

• Central theme: The first step while arranging the para jumbles should be to identify the Central theme and then the opening sentence.
• Here, after reading all the four sentences you would have got an idea that the four lines revolve around 'prisoners displaying their artwork'.
• Opening Sentence: We can clearly negate A and C to be the opening sentence as they are not mentioning the subject. 
• From B and D it is easy to identify option B to be the opening sentence as it establishes the theme of the passage
• Fixed pair: The next step is to identify the mandatory pairs (the pairs that occur in order only).
• Here, we can see C and D as a mandatory pair as D is symbolizing the effect of C.
• Closing Sentence: Lastly, the most important point should be to identify the closing sentence (a sentence that sums up the whole para).
• Clearly, A should be the closing sentence.
  

Correct rearrangement: The prisoners wanted to display their artwork inside the prison. They took the help of volunteers from the School of Art. The prisoners who were interested in visual arts and painting could study there. Later, they set up their own art school and gallery in the prison.

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

• resident- a person who lives somewhere permanently or on a long-term basis.
• alien- belonging to a foreign country.
• native- associated with the place or circumstances of a person's birth.
• inhabitant - a person or animal that lives in or occupies a place.

The correct answer is option 1 i.e. through the river.

Key Points

• The correct phrase will be across the river.
• Whenever we travel by dividing into two-part we use across.

Chickenpox is caused by the Virus. (Varicella-zoster virus)

Similarly,

Ringworm is caused by Fungus.

Hence, the correct answer is "Fungus".

The logic is:

7 : 85 

(7 × 7) + 6² = 49 + 36 = 85

Similarly,

8 : 113

(8 × 8) + 72 = 64 + 49 = 113

The correct answer is 8 : 113.

The logic followed here is:

Sum of the place value × 2

Here, V = 44

the positional value of V = 22;

So, 22 × 2 = 44.

For, FAT = 54

F = 6, A = 1 and T = 20

So, FAT = 6 + 1 + 20 = 27

And, 27 × 2 = 54.

Similarly, For LATE,

L = 12, A = 1, T = 20 and E = 5

So, LATE = 12 + 1 + 20 + 5 = 38

And, 38 × 2 = 76.

Hence, the correct answer is "76".

The logic followed here is:

Option 1) HSKPM - 

Option 2) JQMNP - 

Option 3) DWGTJ - 

Option 4) PKSHV - 

Here, 'HSKPM' doesn't follow the pattern.

Hence, the correct answer is "Option 1".

Alternate Method

Sum of the positional value of letters

HSKPM = 8 + 19 + 11 + 16 + 13 = 67;

JQMNP = 10 + 17 + 13 + 14 + 16 = 70;

DWGTJ = 4 + 23 + 7 + 20 + 10 = 64;

PKSHV = 16 + 11 + 19 + 8 + 22 = 76;

therefore, HSKPM, the sum of all letters is an odd number.

Hence, the correct answer is HSKPM.

The logic followed here is:

Given four Dice: 

From the first two dice:

Here, 4 and 5 is the common number in the first two dice,

So, the remaining 3 and 2 will be the opposite number.

Hence, the correct answer is "2".

The logic followed here is: Letter +3, +2, +3, +2, +3, ...!

Here, 'BLEND' is written as 'ENHPG'

Similarly, for 'WINNER'

So, 'WINNER' will be coded as 'ZKQPHT'.

Hence, the correct answer is "ZKQPHT".

Lethargy, Anxiety and Power are different feelings of human.

Hence, the correct answer is option 3.

Hence, the correct answer is option 4.

The correct mirror image of the given Image is:

Hence, the correct answer is "Option 4".

The triangles are:

The total number of triangles is '15'.

Hence, the correct answer is "15".

One who studies or collects butterflies is called Lepidopterist.

Similarly,

Deltiologist is one who studies postcards.

Hence, the correct answer is Postcards : Deltiologist.

As K is the brother of R and S is the husband of R.

Hence, the correct answer is brother-in-law.

Given expression: 132 × 11 + 8 – 3 ÷ 12

1. – and ×

132 - 11 + 8 × 1/4 = 132 - 11 + 2

= 134 -11

= 123 ≠ 16

2. • and -

132 × 11 - 8 + 3 ÷ 12

= 132 × 11 - 8 + ¼

= 1452 - 8 + ¼

= 1444 + 1/4 ≠ 16

3. • and ×

132 + 11 × 8 - 3 ÷ 12

= 132 + 11 × 8 - ¼

= 132 + 88 - ¼

= 220 -¼ ≠ 16

4. × and ÷

132 ÷ 11 + 8 - 3 × 12

= 12 + 8 – 36

= 20 - 36 = -16

Hence, the correct answer is option 4

Here the logic is :

5 × 2 - 2 = 8;

8 × 2 + 4 = 20;

20 × 2 - 6 = 34;

34 × 2 + 8 = 76;

76 × 2 - 10 = 142;

Similarly,

142 × 2 + 12 = 296

Hence, the correct answer is 296.

The size of the animals are fly < rat < monkey < lion < elephant.

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

The logic followed here is:

So, the complete series is:

Hence, the correct answer is option 4.

Hence, the correct answer is option 3

Bray is voice of donkey.

Hoot is voice of owls.

amble means relaxation.

roar is voice of lion

therefore, all are sound except amble.

Hence, the correct answer is amble.

Concept:

1. We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.

2. The possibility case can be considered to be "false" in "definite case".

3. In Possibility case, either "can" or "possible" word must be present.

the correct answer is option 3 i.e. Only conclusion I follows.

Conclusions:

I. Some balloons are rocks → True.

II. Some watches are oceans → False (As per diagram, no relation is between watches and oceans)

III. All oceans are rocks → False (Some oceans are rocks is true)

Hence, the correct answer is Only conclusion I follows.

Additional Information

The logic is:

51 - 38 = 13

71 - 58 = 13

91 - 78 = 13

31 - 28 = 3

Hence, the correct answer is 3128.

EXPLANATION:

The purchase value of 1 plastic toy and spoon = Rs. 7 + Rs. 5 = Rs. 12

Now, Value of 2 Plastic toys and 2 Spoon = 12 × 2 = Rs. 24

Given, X spends Rs. 38

Remaining amount (after purchasing 2 Plastic toys and 2 Spoon) = 38 – 24 = Rs. 14

So, only 2 plastic toys can be purchased from the above amount.

∴ Required number of Plastic toys = 2 + 2 = 4

Hence, the correct answer is "4".

In this question, a Number of plastic toys were asked (not total number of plastic items). 

Here Total number of plastic items = 6

Total number of plastic toys = 4

Go through the options:

Option 1:

4 Plastic toys costs Rs. 4 × 7 = Rs. 28

Remaining Amount (38 - 28) = Rs. 10

Plastic spoon costs Rs. 5 per item

Since 10 is divisible by 5

∴ Option 1 is correct.

The logic followed here is:

(3rd number)³ - (1st number)³ = 2nd number.

Now, (4, 152, 6)

4³ = 64 and 6³ = 216

So, 216 – 64 = 152;

Similarly,

1. (5, 287, 8)

5³ = 125 and 8³ = 512

So, 512 – 125 = 387;

2. (2, 208, 6)

2³ = 8 and 6³ = 216

So, 216 – 8 = 208;

3. (3, 55, 4)

3³ = 27 and 4³ = 64

So, 64 – 27 = 37;

4. (4, 179, 7)

4³ = 64 and 7³ = 343

So, 343 – 64 = 279;

Hence, the correct answer is "Option 2".

The logic followed here is:

1st number × 3 + 2 = 2nd number,

2nd number × 3 + 2 = 3rd number.

Here, (4, 14, 44)

4 × 3 + 2 = 14

and, 14 × 3 + 2 = 44

Similarly,

1) (11, 35, 107)

11 × 3 + 2 = 35

and, 35 × 3 + 2 = 107;

2. (7, 23, 69)

7 × 3 + 2 = 23

and, 23 × 3 + 2 = 71;

3. (9, 30, 57)

9 × 3 + 3 = 30

and, 30 × 2 - 3 = 57;

4. (5, 15, 30)

5 × 3 + 0 = 15

and, 15 × 2 + 0 = 30;

Hence, the correct answer is "Option 1".

The logic followed here is:

Here, GATE : HXYX

Similarly, for SINK:

Hence, the correct answer is "TFSD".

The sequence will be:

By checking options and substituting accordingly.

1. acacdcc → abcad / abcad / cbdcd / abccc  2. cacacdc → abccd / abacd / abccd / abdcc 3. ccaacdc → abccd / abcad / abccd / abdcc

4. cccaccd → abccd / abccd / abccd / abccd

• In option (4) 'abccd' is repeated.

Hence the correct answer is "Option 4".

When sum was divided into 3 : 4 : 5 : 8, Let the sum with A, B, C and D be 3x, 4x, 5x and 8x.

According to the question,

⇒ 3x + 4x + 5x + 8x = 4360

⇒ x = 218.

∴ sum with A = 3 × 218 = 654

Sum with B = 4 × 218 = 872

Sum with C = 5 × 218 = 1090

Sum with D = 8 × 218 = 1744

When sum was divided into 13 : 14 : 5 : 8, Let the sum with A, B, C and D be 13a, 14a, 5a and 8a.

According to the question,

⇒ 13a + 14a + 5a + 8a = 4360

⇒ 40a = 4360

⇒ a = 109

sum with A = 13 × 109 = 1417

Sum with B = 14 × 109 = 1526

Sum with C = 5 × 109 = 545

Sum with D = 8 × 109 = 872

Change in A’s share = (1417 - 654) = 763 more

Change in B’s share = (1526 - 872) = 654 more

Change in C’s share = (1090 - 545) = 545 less

Change in D’s share = (1744 - 872) = 872 less      

Shortcut Trick

condidtion1 : A: B: C : D = 3 : 4 : 5 : 8    (SUM 20) × 2

condidtion2 : A: B: C : D = 13 : 14 : 5 : 8  (SUM40) × 1

Change in A’s share = [(13 - 6) × 4360 ]/40 = 763 (+)

B’s share = [ (14 -8) × 4360 ]/40 = 654 (+) 

C’s share = [ (10 - 5) × 4360 ]/40 = 545 (-) 

D’s share = [ (16 - 8) × 4360 ]/40 = 872 (-)

Given:

MP = Rs. 600,

Discount = 25%,

Loss = Rs.30

Formula Used:

Loss = CP – SP

Loss % = (CP – SP)/CP × 100

Calculation:

SP = 600 × 75/100 = Rs.450

Loss = CP – SP

⇒ 30 = CP – 450

⇒ CP = Rs.480

%Loss = (30/480) × 100 = 6.25%.

∴ The loss percentage is 6.25%

Calculation:

(tan 13° tan 37° tan 45° tan 53° tan 77°)/[2 Cosec²60°(Cos²60°– 3cos 60° + 2)]

⇒ [tan(90° – 77°).tan(90° –  53°).tan45°.tan53°.tan77°)]/[2 Cosec²60°(Cos²60°– 3cos60° + 2)]

⇒ (cot77°.cot53° × 1 × tan 53° tan 77°)/[2 × 4/3 (1/4 – 3/2 + 2)

⇒ 1/[8/3 × 3/4]

⇒ 1/2

∴ The required value is 1/2

Given that,

8x² + y² – 12x – 4xy + 9 = 0

⇒ (4x² + y² – 4xy) + (4x² – 12x + 9) = 0

⇒ (2x - y)² + (2x - 3)² = 0

⇒ 2x = y, 2x = 3

⇒ x = 1.5, y = 3

On putting in (14x – 5y) = 14 × 1.5 – 5 × 3 = 6.

The area of a regular hexagon = (3√3/2).side²

According to the question,

⇒ 2400√3 = (3√3/2).side²

⇒ side = 40 m.

Perimeter of hexagonal field = 6 × side = 6 × 40 = 240 m

Cost of fencing = 18.50 × 240 = Rs.4440

The average number of type A, B and D vehicles exported in 2015 = (35 + 33 + 55)/3 = 41 lakh

The number of type E vehicles exported in 2014 = 50

According to the question,

x% = (50 – 41)/50 × 100 = 18%

Given x + y + z = 19 and xy + yz + zx = 114

Consider, x + y + z = 19

Squaring on both sides, we get

(x + y + z)² = (19)²

x² + y² + z² + 2(xy + yz + zx) = 361

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

⇒ x² + y² + z² = 361 – 2 × 114 = 133

∴ x² + y² + z² = 133

We know that x³ + y³ + z³ − 3xyz = (x + y + z)( x² + y² + z² − xy − yz − zx)

x³ + y³ + z³ − 3xyz = 19 × [133 – 114]

On adding 4xyz both sides,

x³ + y³ + z³ + xyz = 19 × 19 + 4 × 216 = 1225

Taking square root on both sides,

√(x³ + y³ + z³ + xyz) = √1225 = 35.

Alternate Method Formula used:

x3 + y3 + z³ = (x + y + z)[(x + y + z)² - 3(xy + yz + zx) + 3xyz

Calculation:

We have-

√(x3 + y3 + z3 + xyz)

⇒ √[(x + y + z){(x + y + z)2 - 3(xy + yz + zx)} + 3xyz+ xyz]

⇒ √19 × (19² - 3 × 114) + 4 × 216

⇒ √19(361 - 342) + 864

⇒ √19 × 19 + 864

⇒ √1225

⇒ 35

∴ The required value is 35.

% increase in export in 2015 in vehicle A = (35 - 27)/27 × 100 = 29.62%

% increase in export in 2015 in vehicle B = (33 – 25)/25 × 100 = 32%

As B is the vehicle whose export was increased by 32% from year 2014 to 2015.

So we don’t have to calculate further.

⇒ 2cos²θ – 5cos θ + 2 = 0

⇒ 2cos²θ – 4cos θ – cosθ + 2 = 0

⇒ 2cosθ(cosθ – 2) – 1(cosθ – 2) = 0

⇒ (2cosθ – 1)(cosθ – 2) = 0

⇒ cosθ = (1/2, 2)

(∵ value of cosθ can not be beyond 1, ∴ take cosθ = ½)

cosθ = ½ = cos60°

⇒ θ = 60°

On putting in (cosecθ + cotθ) = (cosec60° + cot60°)

⇒ (2/√3) + (1/√3) = 3/√3 = √3.

The total number of type B, D and E vehicles exported in 2014 = 25 + 45 + 50 = 120

The total number of type A, C, D and E vehicles exported in 2015 = 35 + 40 + 55 + 57 = 187

Required percentage,

⇒ 120 = 187 × x/100

⇒ 64.17% or 64.2% (approx.)

Follow BODMAS rule to solve this question, as per the order given below,

Step-1 - Parts of an equation enclosed in 'Brackets' must be solved first,

Step-2 - Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3 - Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4 - Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Now, given expression:

⇒ 3/4 ÷ 3/4 of 3/4 × 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6)

⇒ 3/4 ÷ 9/16 × 4/3 + 5/2 ÷ 1/2 - (2/3 + 5/9)

⇒ 3/4 × 16/9 × 4/3 + 5 – 11/9

⇒ 16/9 + 5 – 11/9

⇒ 61/9 – 11/9

⇒ 50/9

Calculation:

In ΔOBC,

Let the ∠OCD = ∠ODC = x° (OC = OD are the radii of the same circle)

x° + x° + 60° = 180°

⇒ x° = 60°

Theorem: The angle made in half circle ∠ACD = 90°

∠ACO = 90° - ∠OCD ⇒ 90° -  60° = 30°

Also, ∠ABO + ∠OBC = 180°

⇒ 60° + ∠OBC = 180°

⇒ ∠OBC = 120°

In ΔOBC,

∠BOC + ∠OBC + ∠OCB = 180°

⇒ ∠BOC + 120° + 30° = 180°

⇒ ∠BOC = 30°

Theorem: In a triangle if two angles are same then the respective sides of the triangle will be the same.

∠OCB = ∠BOC = 30°

OB = BC = 5 cm.

Cot θ/[(1 – sin θ) (1/co sθ + sin θ/cos θ)]

⇒ Cot θ/[(1 – sin θ)(1 + sin θ)/cos θ]

⇒ cot θ/[(1 – sin² θ)/cos θ]

⇒ cot θ/[cos² θ/cos θ]

⇒ cot θ/cos θ

⇒ cosec θ

The total number of type A and C vehicles exported in 2014 = 27 + 43 = 70

The total number of type B and E vehicles exported in 2015 = 33 + 57 = 90

Required ratio = 7 : 9

Using Thales theorem,

BD : AB = DE : AC

∴ the ΔBDE is similar to ΔABC

Theorem: The ratio of sides of two similar triangles is equal to the ratio of the square root of the area of two triangles.

∴ the ratio of the area of the two triangles ΔBDE: ΔABC = (2: 5)² = 4: 25

The area of the trapezium ACED = 25k – 4k = 21k

The ratio of the area of the ΔBDE : Trapezium ACED = 4K : 21K = 4 : 21.

Shortcut Trick

Effective Simple Interest rate for 15 months = 12% × (15/12) = 15%.

Interest for Compound Interest (5-monthly) = 12% × (5/12) = 5% per period for 3 periods.

Effective Compound Interest rate = 5 + 5 + 5 + (5×5 + 5×5 + 5×5)/100 + (5×5×5)/10000 = 15.7625%.

Difference in interest rate = 15.7625% − 15% = 0.7625%.

Difference in value = 0.7625% of ₹12,000 = (0.7625 ÷ 100) × 12000 = ₹91.50.

∴ The correct answer is ₹91.50.

Alternate Method

Given:

Principal (P) = ₹12,000

Rate of Interest (R) = 12% per annum

Time (T) = 1¹/₄ years = 15 months

Compounding = 5-monthly

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Amount (A) for CI = P(1 + r/100)ⁿ

Calculations:

⇒ Simple Interest (SI) = (12000 × 12 × 1.25) ÷ 100

⇒ SI = 120 × 15 = ₹1,800

⇒ For Compound Interest, r = (12 ÷ 12) × 5 = 5% per period

⇒ Number of periods (n) = 15 ÷ 5 = 3

⇒ Amount (A) = 12000(1 + 5/100)³

⇒ A = 12000 × (21/20) × (21/20) × (21/20)

⇒ A = 12000 × (9261 ÷ 8000) = 1.5 × 9261 = ₹13,891.50

⇒ Compound Interest (CI) = Amount − Principal = 13891.50 − 12000 = ₹1,891.50

⇒ Difference = CI − SI = 1891.50 − 1800 = ₹91.50

∴ The correct answer is ₹91.50.

Additional Information

Effective Interest Rate for 3 periods

For a rate of r% per period over 3 periods, the effective compound interest rate is calculated as: 3r + 3r²/100 + r³/10000.

Difference between CI and SI for 3 Years (annual)

The difference formula is: Difference = P(R/100)² × (300 + R)/100, where R is the annual rate.

Compounding Period Rule

If interest is compounded k-monthly, the new rate r = (R ÷ 12) × k and the number of periods n = (Total months ÷ k).

To check the divisibility by 88,

It should be divisible by 8 and 11.

We know that the last three digits of a number should be divisible by 8.

⇒ The number made from the last three digits without altering their position will be divisible by 8

⇒ Possible values of y are 1, 5 and 9

∵ y is the smallest, the value of y will be 1.

Now, let's check the divisibility rule of 11,

⇒ 4 + x + 1 + 5 + 2 - (3 + 1 + 4 + y)

⇒ 12 + x - 9 = 3 + x

Hence the possible value of x will be 8.

∴ Value of (3x – 2y) = 3 × 8 - 2 × 1 = 22

Given:

Calculation:

∠ BPC = 90° – (∠ CAB°/2)

⇒ ∠ BPC = 90° – (40°/2)

⇒ ∠ BPC = 90° – 20° 

⇒ ∠ BPC = 70° 

∠ OCA = ∠ OBA = 90°     ...(radius ⊥ tangent) 

In OBAC,

∠ BOC + ∠ OCA + ∠ CAB + ∠ ABO = 360°

⇒ ∠ BOC + ∠ 90° + ∠ 40° + ∠ 90° = 360°

⇒ ∠ BOC + 220° = 360° 

⇒ ∠ BOC = 360° – 220° = 140° 

As line CP parallel to AB,

⇒ ∠ BCP = ∠ CBA     ...(alternate angles)

In ΔABC,

⇒ ∠A + a° + a° = 180°

⇒ 40° + 2a° = 180°

⇒ a° = 70°

Now, In ΔBPC,

⇒ ∠CBP + 70° + 70° = 180°

⇒ ∠CBP + 140° = 180°

⇒ ∠CBP = 180° – 140° = 40° 

∴ ∠CBP is 40°

Let the numbers be a, b and c.

According to the question,

(a + b)/2 + c = 177 or a + b + 2c = 354 ….(1)

(b + c)/2 + a = 163 or 2a + b + c = 326 ….(2)

(c + a)/2 + b = 138 or a + 2b + c = 276 ….(3)

On solving the three equations,

c = 115, b = 37, a = 87

Required average = (115 + 37)/2 = 76.

Alternate Method

adding eq. (1) and (3), we get

2a + 3b + 3c = 354 + 276 = 630 ….(4)

On subtracting eq(2) from eq(4), we get

2b + 2c = 630 - 326 = 304

(b + c) = 304/2 = 152

Required average = (b + c)/2 = 152/2 = 76

Let ∠DBP = ∠PBC = a°

And also ∠ECP + ∠PCB = b°

∠ABC = 180° - 2a° and ∠ACB = 180° - 2b°

In ΔABC,

180° - 2a° + 72° + 180° - 2b° = 180°

a° + b° = 126°

In ΔPBC,

a° + b° + x° = 180°

x° = 180° - 126° = 54°

∠BPC = 90° - (1/2) × ∠A

Here, ∠A = 72° 

∴ ∠BPC = 90° - (1/2) × 72° 

⇒ ∠BPC = 90° - 36° = 54°

Let the income and expenditure be 100x and 72x respectively.

Savings = Income – Expenditure = 100x – 72x = 28x

New income = 100x + 100 × 28/100 = 128x

New expenditure = 72x + 72x × 25/100 = 90x

New savings = 128x – 90x = 38x

Required percentage = (38x – 28x)/28x × 100 = 35.7%

B’s time taken to complete $33\frac{1}{3}\%$ or 1/3^rd of the total work = 15 days

B’s time taken to do the complete work = 3 × 15 = 45 days

Total work = LCM of (A + B)’s time taken and B’s time taken.

Total work = LCM of 25 and 45 days = 225 units

(A + B)’s efficiency = 225/25 = 9 units/day (∵ efficiency = total work/time taken)

B’s efficiency = 225/45 = 5 units/day

A’s efficiency = (9 – 5) = 4 units/day

${\frac{4}{{15}}^{th}}$ of the same task = 225 × 4/15 = 60 units

A’s time taken to this work = 60/ 4 = 15 days

Let the cost price and selling price of per article are CP and SP.

Given, Loss = 8 × SP

Also,

Loss = 72 × CP – 72 × SP

⇒ 8 × SP = 72 × CP – 72 × SP

⇒ 80 × SP = 72 × CP

⇒ CP/SP = 80/72

Loss percentage = (80 - 72)/80 × 100 = 10%

Let SP of an article = Re 1

Hence, total SP = 72 and loss = 8

now, CP = SP + loss = 80

Loss percentage = (8/80) × 100 = 10%

Calculation:

Let the distance traveled be 2x.

Distance traveled in each directions = x 

Since, Time taken = Distance/Speed

According to the question,

⇒ x/12 + x/9 = 7/3

⇒ x = 12 km

∴ The total distance travelled by the man = 2 × 12 = 24 km (Forward and

backward)

Alternate Method

Formula used:

Average speed = 2ab/(a + b)

Distance = Speed × Time

Calculation:

Average speed = 2 × 12 × 9/(12 + 9)

⇒ 2 × 12 × 9/21

⇒ 72/7 km/h

Distance = (72/7) × (7/3)

⇒ 24 km

∴ The required distance is 24 km.

Given that,

(x + y) = 7

On squaring both the side,

x² + y² + 2xy = 7²

⇒ (x² + y²) = 49 – 2 × 10 = 29

According to the question,

(1/x³ + 1/y³) = (x³ + y³)/(xy)³

⇒ [(x + y) (x² + y² - xy)]/(xy)³

⇒ [7 × (29 -10)]/10³

⇒ 133/1000 = 0.133 .

Shortcut Trick

putting the value x = 2 , y = 5 

so  (1/x3 + 1/y3) = ( 1/5³ + 1/2³) = (1/125 + 1/8) = 133/1000 =.133

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

• AIX stands for Advanced Interactive eXecutive.
• It is an open operating system from IBM that is based on a version of UNIX.
• IBM is a technology giant, its headquarter situated in Armonk, New York, United States.

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

• Kutiyattam, Sanskrit theatre, which is practised in Kerala, is one of India’s oldest living theatrical traditions.
• Originating more than 2,000 years ago, Kutiyattam represents the local traditions of Kerala.
• Kuttampalams is one type of Kutiyattam which is traditionally performed in theatres**,** which are located in Hindu temples.
• Theyyam, Chakyar Koothu and Thiruvathirakali are the art-forms of Kerala.

The correct answer is option 2, i.e. West Bengal.

• Chhattisgarh is a state of central India.
• On 1 November 2000, this state was carved out of Madhya Pradesh.
• Its capital is Raipur.
• This state is bounded by the Indian states of Uttar Pradesh and Jharkhand to the north and northeast, Odisha (Orissa) to the east, Telangana (formerly part of Andhra Pradesh) to the south, and Maharashtra and Madhya Pradesh to the west.

The correct answer is option 2, i.e. Jagjivan Ram.

• Jagjivan Ram was born on 5 April 1908 in Bihar.
• He was the Indian politician, government official, and longtime leading spokesman for the Dalits (formerly untouchables; officially called Scheduled Castes), a low-caste Hindu social class in India.
• He served in the Lok Sabha (lower chamber of the Indian parliament) for more than 40 years.

The correct answer is option 2, i.e. Devil's Advocate: The Untold Story.

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

Some other sports and cups:

The correct answer is option 3) i.e. Alan Emtage.

• Alan Emtage is known as the father of the search engine.
• The first search engine is Archie.
• He was born on 27 November 1964 in Barbados.
• In 1983 Emtage entered McGill University in Montreal, Canada studying for an honours Bachelor's degree in computer science which was followed by a Master's degree in 1987 from which he graduated in 1991.

The correct answer is option 4) i.e. Sikkim.

• Prem Singh Tamang is the Chief Minister of Sikkim.
• Sikkim, state of India, located in the northeastern part of the country, in the eastern Himalayas. It is one of the smallest states in India.
• Sikkim is bordered by the Tibet Autonomous Region of China to the north and northeast, by Bhutan to the southeast, by the Indian state of West Bengal to the south, and by Nepal to the west.
• The capital is Gangtok, in the southeastern part of the state.
• Pakyong airport is the first airport in Sikkim.

The correct answer is option 4) i.e. 182 m.

• The Statue of Unity is a colossal statue of Sardar Vallabhbhai Patel.
• It is located on a river island facing the Sardar Sarovar Dam on river Narmada, Vadodara, Gujarat.
• It is the world tallest statue with a height of 182 m.
• Sardar Vallabhbahi Patel was the first home minister of independent India.

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

• The Sunauli border is the most popular entry point from India to Nepal.
• On the Indian side, Sunauli is a dusty town in Uttar Pradesh.
• The capital of Nepal is Kathmandu.
• The Indian states that touch the border with Nepal are Bihar, Uttar Pradesh, Uttarakhand, West Bengal and Sikkim.

The correct answer is option 2) i.e. Jyotirao Phule.

• Jyotirao ‘Jyotiba’ Govindrao Phule was a prominent social reformer and thinker of the nineteenth century India.
• He led the movement against the prevailing caste-restrictions in India.
• He revolted against the domination of the Brahmins and struggled for the rights of peasants and other low-caste people.
• Mahatma Jyotiba Phule was also a pioneer for women education in India and fought for the education of girls throughout his life.
• He is believed to be the first Hindu to start an orphanage for the unfortunate children.

The correct answer is option 2) i.e. Karambir Singh.

• Admiral Karambir Singh is the 24th and current Chief of the Naval Staff of the Indian Navy.
• He replaced Sunil Lanba on May 31, 2019.
• He was born in Jalandhar on 3rd November 1959.
• He got Param Vishisht Seva Medal and Ati Vishisht Seva Medal.

The correct answer is option 4) i.e. Car Racing.

• Karun Chandhok is an Indian car racing driver.
• His last competition was Formula E for Mahindra Racing.

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

• The Telangana government is going to set up the country’s first ‘Blockchain district’ to create an ecosystem for all the start-ups and institutes working in the space.
• The State signed an agreement with Tech Mahindra last year to set up the Blockchain district.
• Blockchain is a system in which a record of transactions made in bitcoin or another cryptocurrency is maintained across several computers that are linked in a peer-to-peer network.

The correct answer is option 4) i.e. Kerala.

Key Points

• Ottamthullal is an art form performed only in Kerala.
• The meaning of Ottamthullal is 'poor man's Kathakali'.
• Kunchan Nambiar created this dance form, as an alternative to the Chakyar koothu.
• To protest against the prevalent socio-political structure and prejudices of the society, Kunchan Nambiar used it as a medium.
• Now it is a famous folk art presented in the temples of Kerala.

Additional Information

• Some other dance forms of Kerala:
• Theyyam
• Thiruvathirakali
• Chakyar Koothu
• Koodiyattam
• Kathakali(Classical)
• Mohiniattam(Classical).

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

• Lipase is an enzyme that splits fats so the intestines can absorb them.
• Lipase hydrolyses fats like triglycerides into their component fatty acid and glycerol molecules.
• It is secreted by Pancreas.
• Pancreas is a composite gland which acts as both exocrine glands (contains exocrine cells ) and endocrine gland(contains endocrine cells).
• Endocrine glands secrete chemical substances into the bloodstream or tissues of the body.
• Exocrine glands secrete substances onto an epithelial surface by way of a duct.

The correct answer is option 2, i.e. John Stuart Mill.

• John Stuart Mill was an English philosopher, economist, and exponent of Utilitarianism.
• He was prominent as a publicist in the reforming age of the 19th century and remains of lasting interest as a logician and an ethical theorist.
• 'Principles of Political Economy' by John Stuart Mill was one of the most important economics or political economy textbooks of the mid-nineteenth century.

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

• Dras is a town in the Kargil District of Leh.
• It is often called "The Gateway to Ladakh".
• Dras is widely recognized as the second coldest inhabited place in the world.

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

• Walayar Dam is a dam in Palakkad district of Kerala, South India.
• This dam is constructed across the Walayar River which is a tributary of Kalpathipuzha River.
• It was completed and opened in 1964.
• It is one of the major sources of irrigation in the region.

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

• Walmart is an American multinational retail corporation.
• Founder of Walmart is Sam Walton.
• CEO of Walmart is Doug McMillon.

The correct answer is option 3,i.e. Benjamin Franklin

• Benjamin Franklin was an American printer and publisher, author, inventor and scientist, and diplomat.
• Franklin helped draft the Declaration of Independence and was one of its signers, represented the United States in France during the American Revolution, and was a delegate to the Constitutional Convention.
• He made important contributions to science, especially in the understanding of electricity, and is remembered for the wit, wisdom, and elegance of his writing.
• He first coined the term "battery" to describe linked capacitors.

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

• Anatomy is the branch of biology concerned with the study of the structure of organisms and their parts. Anatomy is a branch of natural science that deals with the structural organization of living things.

The correct answer is option 3, i.e. 30 May 2019.

• The first match of ICC Cricket World Cup 2019 was played between hosts England and South Africa on May 30.
• It was played at the Kennington Oval in London.
• The total numbers of teams were 10, they are England (hosts), Australia, Bangladesh, India, New Zealand, Pakistan, South Africa, Sri Lanka, Afghanistan and West Indies.

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

• The Department of Industrial Policy and Promotion (DIPP) in the Ministry of Commerce and Industry and the Government of Goa, hosted the annual Startup India Venture Capital Summit in Goa on December 07, 2018.
• The theme of the Summit was ‘Mobilizing Global Capital for Innovation in India.’
• The event showcased the Indian startup opportunity for funds from around the world.
• The summit aims to attract more global capital into the country. The event enabled a dialogue between Government and experienced Venture Capital fund managers on ways to further promote the startup ecosystem in India.

The correct answer is option 2, i.e. Immediate Payment Service.

• Immediate Payment Service is an instant payment inter-bank electronic funds transfer system in India.
• It was founded on 22 November 2010.
• National Payments Corporation of India is the owner of this system.