SSC CHSL Previous Paper 42 (Held On: 22 March 2018 Shift 2) (Previous Year Paper)

The correct answer is intelligent. 

Key Points

Let's look at the meaning of the correct word. 

• Intelligent: Having or showing intelligence; especially of a higher degree.
• Example: Labradors are highly intelligent dogs.

Thus from the given points and example, it is clear that the correct answer is intelligent.

The correct answer is BCA

Key Points

Reading the above question we find that: 

• Clearly, a sentence does not end with the possessive pronoun my.
• Therefore we can eliminate options 1 and 4.
• In option 3 CB is the incorrect sequence. A possessive pronoun is used directly with a noun and not an article.

Therefore from the given options, the correct option is BCA.

The correct answer is was standing. 

Key Points

Reading the given sentence we find that: 

• My father is a singular noun.
• The helping verb 'were' is used only with plural nouns.
• Therefore we should replace were standing with was standing.
• The helping verb 'was' is used with singular nouns

​

Additional Information

• In the given sentence the father was performing a continuous action in the past.
• Hence the -ing form of the verb is used here, and the tense is past continuous tense.

The correct answer is are debating. 

Key Points

Reading the above sentence we find that: 

• Many countries and states denote many individual countries and states, making it plural.
• Therefore the verb in use should also be plural.
• Hence we have to change is debating to are debating.

Therefore the correct answer is are debating.

The correct answer is Bungle

Key Points

Let's look at the meaning of the words given below.  

• Bungle -carry out a task clumsily or incompetently; mismanage; mishandle.
• Adept -very skilled or proficient at something.
• Apt - appropriate or suitable in the circumstances.
• Adroit - clever or skillful.

Thus from the given meaning, it is clear that the correct answer is Bungle.

The correct answer is Prowler.

Key Points

Let's find out the meaning of following words :- 

• Scrupulous - a person or process which is careful, thorough, and extremely attentive to details.
• Prowler - a person who moves stealthily about or loiters near a place with a view to committing a crime.
• Veracious -  speaking or representing the truth.
• Unfeigned - genuine; sincere.

Thus from the given points it is clear that the correct answer is Prowler.

The correct answer is To have a large number of problems to deal with. 

Key Points

Let's look at the meaning of the given idiom. 

• A lot on your plate: To have a large number of problems to deal with and have barely enough time to deal with other things.
• Example: I can't take that on now; I've got too much on my plate already.

Thus from the given meaning, we can conclude that the correct answer is To have a large number of problems to deal with.

The correct answer is: To suddenly feel very happy because something unpleasant has not happened or has ended. 

Key Points

Let's look at the meaning of the given idiom:

• Heave a sigh of relief: to relax because something one has been worrying about is not a problem or danger anymore.
• Example: We both heaved a sigh of relief when she left.

Thus, from the given points we can conclude that the answer is 'To suddenly feel very happy because something unpleasant has not happened or has ended.'

Additional Information

• Heave means to breathe; to gasp.

The correct answer is justice. 

Key Points

Reading the above sentence we find that: 

• The verb 'dispense' is already given which according to sub + verb + obj should be followed by an object i.e a noun or a pronoun.
• In the given options.
• Justly: Is an adverb and cannot be used in the place of a noun/pronoun.
• Justify and Justifies both are verbs and cannot be used in place of a noun.

Therefore the correct answer is justice. 

Additional Information

• An adverb is a word that modifies a verb or an adjective.

Correct option - 1

Here, option 4 is clearly eliminated. Because 'form' is a noun which does not provide meaning to the context. Let's find out the uses of following prepositions :-

for - Used to indicate the use of something. 

of - Used for belonging to, relating to, or connected with.

from - used to separate; one place to another.

Here, use of sun is defined. That sun keeps on shining the whole earth. Hence, for is the correct answer.

Correct option - 3

The context has subject "the inverse law" is a singular noun, hence according to sub-verb agreement, singular verb keeps should be used. Thus, option 3 is the correct answer.

The correct option is 3.

• 'By' is the most appropriate preposition for the sentence.
• Other prepositions make the sentence grammatically incorrect and hence are not the right fit.

• Correct option - 4
• to leave something to someone means to give someone an authority or responsibility
• Hence, left is the most suitable choice.
• Thus, the correct sentence is: .....'a few things are left to politicians.'

The correct answer is Pronunciation. 

Key Points

Let's look at the meaning of the correct option. 

• Pronunciation: The way in which a word is pronounced.
• Example: My friend's pronunciation is similar to that of a native speaker.

Thus the correct answer is Pronunciation.

Correct option - 2

Here, direct speech is given. So, we convert it into indirect speech. The reporting verb "replied" is in simple past tense and modal verb can is used in inverted commas. So, it changes into simple past of can, i.e. could. Subject I changes into he. Rest of the sentence remains the same. Hence, option 2 is the correct answer.

Correct option - 4

The tense used in active voice is simple past tense. So, while changing it into passive voice form, following pattern is used :-

Object + was/were + V3 + by + Subject. 

Hence, option 4 is the correct answer.

The correct answer is RQP

Key Points

Reading the given segments we find that:

• The fixed part of the sentence ends with the preposition of.
• Therefore it should be followed by a noun or a pronoun.
• Thus we can eliminate options 3 and 4 as P starts with a verb.
• Adding the part Q to the fixed part does not yield a coherent and meaningful sentence.
• Thus option 1 can be eliminated.

Therefore the correct answer will be RQP. 

The correct sentence is: Most of the erstwhile Prime Ministers of Japan had urban backgrounds.

​The correct answer is Disagreeing. 

Key Points

Let's look at the meaning of the given word and the correct option. 

• Analogous: Comparable in certain respects; agreeing to something.
• Disagreeing: Having or expressing a different opinion.

Thus from the given meanings, it is clear that both the words express the opposite meaning. 

Additional Information

Let's look at the meanings of the other given options. 

• Similar: Having resemblance in appearance.
• Parallel: Occurring or co-existing at the same time.
• Related: Belonging to the same family, group or type.

The correct answer is Sorrow

Key Points

Let's look at the meaning of the given word and the correct option. 

• Delectation: Pleasure and delight; elation.
• Sorrow: Deep distress; sadness or regret.

Thus from the given meanings, it is clear that both the words express the opposite meanings. 

Additional Information

Let's look at the meanings of the other given words. 

• Delight: To be happy and in a state of elation.
• Elation: Great happiness and exhilaration.
• Rapture: A feeling of intense pleasure or joy.

The correct answer is Funniness. 

Key Points

Let's look at the meaning of the given word and the correct option. 

• Levity: the treatment of a serious matter with humour or lack of due respect.
• Funniness: the quality of being laughable and comical.

Thus from the given meanings, we find that both the words express similar meanings. 

Therefore the correct answer is Funniness. 

Additional Information

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

• Gravity: the force that attracts a body towards the centre of the earth, or towards any other physical body having mass.
• Baleful: having a harmful or destructive effect.

The correct answer is Dismay. 

Key Points

Let's look at the meaning of the given word and the correct option. 

• Consternation: a feeling of anxiety or dismay, typically at something unexpected.
• Dismay: Concern and distress caused by something unexpected.

Thus from the given meanings, we find that both words express the same meanings. 

Additional Information

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

• Composure: The state of being calm and in control of oneself.
• Assurance: A positive declaration intended to give confidence.

The correct answer is vested.

Key Points

Reading the above sentence we find that: 

It is talking about something God gave human beings.  

Now let's look at the meaning of the correct option. 

• Vested: to give someone the power, property etc.
• Example: The judicial power is vested in a high court and many subordinate courts.

​Thus from the given points, we find that the correct answer is vested. 

Additional Information

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

Rejected: Dismiss as inadequate or faulty.

Correct option - 2

There are certain adverbs which are specifically used in case of present perfect tense. Such as, just now, already, yet, etc. 'Yet' means till now.

Hence, option 2 is the correct answer.

Correct option - 3.

Key Points

• Since, word "psychology" is a noun which is directly followed by another noun "resilience". So, replace it with adjective psychological to give a meaningful sentence.
• Hence, option 3 is the correct answer.

Correct Sentence: From the perspective of positive psychology, mental health may include an individual's ability to create a balance between life activities and efforts to achieve psychological resilience.

Correct option - 1

Quantifier "the few" is used for countable noun. For e.g.:- There were the few mangoes on the table.

But, "crowd" is a uncountable noun. Hence, replace the few with the little. 

So, part 1 has the grammatical error.

‘Circumference’ forms the boundary of a ‘circle’, similarly, ‘Perimeter’ forms a ‘Rectangle’.

Hence, the answer is ‘Perimeter : Rectangle’.

The logic followed here is:

13 + 10 = 23

Similarly, 37 + 10 = 47

Hence, the correct answer is ‘47’.

The logic followed here is:

A + 10 = K

C + 10 = M

E + 10 = O

Similarly,

B + 10 = L

D + 10 = N

F + 10 = P

Hence, answer is ‘LNP’.

Here the pattern of relation followed is (Example of Vehicle - Vehicle)

All except ‘Vehicle - Car’ follows the above pattern of relationships.

Hence, the correct answer is "Vehicle - Car".

Here the pattern of relation followed is (Number - Square of the number)

All except ‘15 - 215’ follows the above pattern of relationships.

A square of 15 is 225.

Hence, the correct answer is "15 - 215".

The table shows the place value of the alphabet from A to Z and Z to A.

The pattern/logic/rule followed here is:

1) ABDG → 

2) PQSV → 

3) JKMQ → 

4) NOQT →

Clearly, ‘JKMQ’ does not follow the same pattern/logic/rule as other three options.

Hence, the correct answer is "JKMQ".

According to the sequence in the English dictionary:

The correct order of the given words is:

2. Peaceful

1. Peanut

3. Personal

4. Photograph

5. Picture

Hence, the correct answer is "21345".

The logic/rule followed here is:

Hence, the correct answer is "24".

The table shows the place value of the alphabet from A to Z and Z to A.

The logic/rule followed here is:

Hence, the correct answer is ‘QB’.

Six books are kept one above the other.

1. Hindi is just above Sanskrit.

2. The English is between Mathematics and Science.

3. Law is between Hindi and Mathematics.

On combining 1 and 3 we get:

Case I of point 3 is not possible because from point 1 we know Sanskrit is below Hindi and hence Law book can’t be below Hindi.

Therefore, Case I of statement 3 is eliminated as it violates statement 1.

Again combining the output of statement 1 and 3 with statement 2 we get:

Case II of statement 3 is eliminated because Law book is below Mathematics and hence due to position crisis we eliminate the case.

Final Solution:

Law book is at the fourth position from the top.

Hence, the correct answer is "Law".

Given word: Abettor

Checking each option for the word formation, we get

1. Bettor →  A b e t t o r (Bettor will be formed as shown) 2. Wrote → A b e t t o r (Wrote will not be formed as there is no W) 3. Rot →  A b e t t o r (Rot will be formed as shown) 4. Abet → A b e t t o r (Abet will be formed as shown)

Thus, Option 2, Wrote, will not be formed from the letters of the given word.

Hence, the correct answer is, "Wrote".

Table showing the positional values of the Alphabet series

The pattern followed here is:

Similarly,

Hence, the correct answer is ‘WEGOIY’.

Table showing the positional values of Alphabet series.

The pattern that follows here is:

The first, Second and Third letter of each term is shifted by +2, +3, and +4 places.

Hence, the correct answer is, "ZUF".

The logic/rule followed here is:

2 is added to each term to get the next term.

Thus, the missing term is 30

Hence, the correct answer is ‘30’.

Alternate Method The logic followed here is,

Thus, the missing term is 30

Hence, the correct answer is ‘30’.

The logic/rule/relation followed here is:

First Number × 2 = Second Number;

Second Number × 2 = Third Number.

Applying the above logic to each option, we get

1) (4, 8, 16) → 4 × 2 = 8; 8 × 2 = 16

2) (9, 18, 36) → 9 × 2 = 18; 18 × 2 = 36

3) (6, 12, 24) → 6 × 2 = 12; 12 × 2 = 24

4) (5, 10, 25) → 5 × 2 = 10; 10 × 2 = 20 ≠ 25

Thus, (5, 10, 25) is the odd one out.

Hence, the correct answer is, "(5, 10, 25)".

Given equation: 13 - 14 + 15 × 70 ÷ 14 = ?

On replacing the symbol as per the table shown above, we get

13 + 14 × 15 ÷ 70 - 14 = ?

= 13 + 3 – 14

= 16 - 14

= 2

Hence, the correct answer is ‘2’.

Given equation:

8 ÷ 2 - 50 × 6 + 16 = 50

Checking for each option, we get

1. + and ÷ → 8 + 2 - 50 × 6 ÷ 16

⇒ 8 + 2 - 50 × 6 ÷ 16

⇒ 8 + 2 - 50 × 0.375

⇒ 8 + 2 - 18.75

⇒ 10 - 18.75

⇒ -8.75 ≠ 50

2. - and + → 8 ÷ 2 + 50 × 6 - 16

⇒ 8 ÷ 2 + 50 × 6 - 16

⇒ 4 + 50 × 6 - 16

⇒ 4 + 300 - 16

⇒ 304 - 16

⇒ 288 ≠ 50

3. ‘+ and ×’ → 8 ÷ 2 - 50 + 6 × 16

8 ÷ 2 - 50 + 6 × 16

⇒ 4 – 50 + 96

⇒ 100 – 50

⇒ 50 = 50

4. ÷ and × → 8 × 2 - 50 ÷ 6 + 16

⇒ 8 × 2 - 50 ÷ 6 + 16

⇒ 8 × 2 - 8.33 + 16

⇒ 16 - 8.33 + 16

⇒ 32 - 8.33

⇒ 23.66 ≠ 50.

Thus, Option 3 (+ and ×) satisfies the given equation after interchanging the signs.

Hence, the correct answer is ‘+ and ×’.

The logic/rule followed here is:

60 # 40 = 10 → 6 + 0 + 4 + 0 = 10;

40 # 20 = 6 → 4 + 0 + 2 + 0 = 6;

and,

60 # 90 = 15 → 6 + 0 + 9 + 0 = 15

Similarly,

40 # 30 → 4 + 0 + 3 + 0 = 7

Hence,the correct answer is ‘7’.

The logic followed here is,

Thus, the series will be

ZYXYXYXY, XWXYXYXY, XYZYXYXY, XYXWXYXY, XYXYZYXY, XYXYXWXY

Hence, the correct answer is ‘XYXYXWXY’.

The path followed by the aeroplane P is shown below,

 Aeroplane P flies 65 miles North, then turns left, and flies 45 miles and then lands

and the path followed by the aeroplane Q is shown below,

Aeroplane Q flies 80 miles West, then flies 40 miles South, then turns to its left, flies 35 miles and lands

Combining the paths of aeroplanes P and Q as they have a common starting point, we get

Thus, aeroplane Q is 105 miles South with respect to aeroplane P.

The least possible Venn diagram is as follows:

Conclusion I: All baskets are buckets → Does not follow (As all bins are baskets and no bucket is a bin, thus all baskets being buckets is not possible)

Conclusion II: All buckets are baskets → Does not follow (As there is no definite relation between Bucket and Basket,  All buckets being baskets is a possibility but not definite)

Thus, none of the conclusions follows.

Hence, the correct answer is, "Neither conclusion I nor conclusion II follows".

Editors who are neither Jugglers nor Football players shall be represented by the area bounded by Rectangle excluding the area bound by Square and Triangle.

Thus, the required area will be A and B.

Hence, the correct answer is ‘AB’.

The mirror image of the object when the mirror is placed to the left of the object is shown below,

Hence, the correct answer is "option 4".

The formatting of the cube from the given unfolded cube is shown below,

From the figure we can conclude:

1. The face of the cube with a star will be opposite to the side with four squares.

2. The side with the cross will be opposite the side with a circle.

3. The side with five small circles will be opposite to the side with a circle and square.

Here in the figure (Option 4) below the face of the cube with a star and side with four squares are adjacent to each other.

Thus, it cannot be made based on the unfolded cube in the question figure.

Hence, the correct answer is, "Option 4".

Applying the coding information as per the information given In the question to each option, we get

1) 41, 77, 14, 89 → G, S, A, P

2) 11, 67, 34, 67 → H, U, L, U

3) 13, 75, 42, 67 → F, T, K, U

4) 32, 65, 30, 87 → B, O, D, Y

Hence, the correct answer is ‘32, 65, 30, 87’.

Calculation:

$\frac{{196}}{{0.196}} = \frac{{19.6}}{x}$

⇒ 196x = 19.6 × 0.196

⇒ x = (19.6 × 0.196) 196

⇒ x = (196 × 196)/1960000

⇒ x = 0.0196

∴ The correct answer is 0.0196

Calculation:

Let the number be x

$\frac{1}{{33}} \times \frac{1}{{66}} \times \frac{1}{3} \times \frac{1}{{66}} \times 10000 \times x$

⇒ (10000/431244) × x

⇒ 0.0232x

∴ Percentage = (0.0232x/x) × 100 = 2.32%

Given:

x = 1/√3 and y = 1/√5

Calculation:

(6x² – 5y²) (6x² + 5y²)

putting the given value of x & y, we get,

⇒ [6(1/√3) ² – 5(1/√5) ²][6(1/√3) ² + 5(1/√5) ²]

⇒ [6(1/3) – 5(1/5) ][6(1/3) + 5(1/5) ]

⇒ [2 – 1][2 + 1]

⇒ 3

∴ The value of (6x² – 5y²) (6x² + 5y²) is  3

Given:

a ⊗ b = (a + b) (a × b)

Calculation:

⇒ 6 ⊗ 5 = (6 + 5) (6 × 5)

⇒ 6 ⊗ 5 = 11 × 30

⇒ 6 ⊗ 5 = 330

∴  the value of 6 ⊗ 5 is 330

Given:

Angles of the triangle are in the ratio of 1 : 2 : 3

Concept used:

Sum of three angles of a triangle is 180°

Calculation:

Let the angles of triangle are x, 2x and 3x

Angles sum properties of tringle,

x + 2x + 3x = 180

⇒ 6x = 180

⇒ x = 30

Angles of triangle are 30, 60 and 90

∴ Tringles is the Right angle triangle

Given:

The diameter of the two circles is 6 units and 10 units and center distance is 8 units

Concept used:

If two circles touches each other externally then maximum three tangents can be drawn to both the circles.

Calculation:

Then, the radius of the two circles is 3 units and 5 units

According to given conditions, both circles just touches eachother at a point

 Number of common tangents that can be drawn to both the circle = PQ and AB (2 direct tangent) and line L(1 common tangent)

∴ Number of common tangents that can be drawn to both the circle is 3

Calculation:

Quantity of water in the mixture of 240 litres = 15% of 240 = 36 litres

Let the extra water added be x

So, water become (36 + x) litres and mixture become (240 + x) litres

According to question,

(36 + x) /(240 + x) = 25/100

⇒ (36 + x) /(240 + x) = 1/4

⇒ 4 × (36 + x) = (240 + x)

⇒ 144 + 4x = 240 + x

⇒ 3x = 240 – 144 = 96

⇒ x = 32

∴ Extra water should be added to make water 25% = 32 litres

Shortcut Trick

We know, 15% = 3/20 and 25% = 1/4

At first, juice contains 15% water,

We can say 3 unit of water and 17 unit of juice 

Then some water is added and water becomes 25%

So, we can say 1 unit of water and 3 unit of juice 

Now, no change in the juice, so we have to do equal juice unit

Before water added total mixtue (51 + 9) = 60 unit → 240 ltr

Water added (17 - 9) = 8 unit → 240/60 × 8 = 32 ltr

Given:

8 year ago the ratio of age of father and his son was 7 : 4

Calculation:

Let the father and son age be 7x and 4x respectivily

Present age of father and son is (7x + 8) and (4x + 8) respectivily

According to question,

(7x + 8) + (4x + 8) = 126

⇒ 11x + 16 = 126

⇒ x = 10

Present age of father = (7x + 8) = 78 years and present age of son = (4x + 8) = 48 years

After 7 years, father = 78 + 7 = 85 years and son = 48 + 7 = 55 years

∴ After 7 years the ratio of ages of father and son = 85 : 55 = 17 : 11

Alternate Method

sum of the present ages of a father and his son is 126 years.

8 years ago sum of their ages is 126 - (8 × 2) = 110

Here, 8 years ago Father : Son = 7 : 4,

So, at this time father's age 7/11 × 110 = 70 years, son's age 40 years

Now, Aftre 7 years from the present ratio of their ages will be

Father : Son = (70 + 8 + 7) : (40 + 8 + 7)

Father : Son = 85 : 55

Father : Son = 17 : 11

Shortcut Trick

Using the alligation method on the fractional part of the spirit:

Spirit part in Vessel 1 = 5/6 and in Vessel 2 = 3/10.

Target mixture has half spirit, so Mean = 1/2.

Ratio = (Mean − Vessel 2) : (Vessel 1 − Mean)

Ratio = (1/2 − 3/10) : (5/6 − 1/2) = 1/5 : 1/3 = 3 : 5.

∴ The correct answer is 3 : 5.

Alternate Method

Given:

Ratio of spirit and water in Vessel 1 = 5 : 1

Ratio of spirit and water in Vessel 2 = 3 : 7

Target mixture ratio (half spirit, half water) = 1 : 1

Formula Used:

Alligation Rule: Ratio of Quantity = (Mean Value − Cheaper Value) : (Dearer Value − Mean Value)

Vessel 1 Vessel 2 Mean

5/6 3/10 1/2 1/5 1/3

Ratio = 1/5 : 1/3 = 3 : 5

Calculations:

⇒ Fraction of spirit in Vessel 1 = 5 ÷ (5 + 1) = 5/6

⇒ Fraction of spirit in Vessel 2 = 3 ÷ (3 + 7) = 3/10

⇒ Fraction of spirit in the Target Mean Mixture = 1 ÷ (1 + 1) = 1/2

⇒ Left side difference (Vessel 1 quantity ratio) = 1/2 − 3/10 = 2/10 = 1/5

⇒ Right side difference (Vessel 2 quantity ratio) = 5/6 − 1/2 = 2/6 = 1/3

⇒ The required mixing ratio = 1/5 : 1/3

⇒ Multiplying both sides by the LCM of denominators (15) to simplify:

⇒ Required Ratio = (1/5 × 15) : (1/3 × 15) = 3 : 5

∴ The correct answer is 3 : 5.

Additional Information

Rule of Alligation

A practical method to find the ratio in which two ingredients at different given values must be mixed to produce a mixture of a specified mean value. It visualizes the process through a simple cross-difference diagram.

LCM Equal Proportions Trick

When combining multiple mixtures manually without alligation, calculate the total unit parts of each mixture and multiply them to match their LCM. This ensures smooth addition of the corresponding components.

Repeated Dilution Formula

If a vessel contains a units of pure liquid and b units are repeatedly drawn and replaced with water n times, the remaining pure liquid quantity = a × (1 − b/a)ⁿ.

Concept used:

5^th and 6^th numbers are in the middle of 10 consecutive numbers

Calculation:

Let the 5^th and 6^th number be x and (x + 1) respectivily

∵ Average of the two numbers given in the middle is 13.5

 Sum of two number = 13.5 × 2

⇒ x + (x + 1) = 13.5 × 2

⇒ 2x + 1 = 27

⇒ x = 13

The 5^th and 6^th number is 13 and 14 respectivily

The first 6 numbers are 9, 10, 11, 12, 13 and 14

∴ The sum of the first 6 numbers = 9 + 10 + 11 + 12 + 13 + 14 = 69

Shortcut Trick

Simple Interest for 6 years = 7000 − 4000 = ₹3000

Since Simple Interest is directly proportional to the Rate of Interest.

When the rate of interest is doubled, the interest for the same period will also double.

New Interest = 2 × 3000 = ₹6000

New Amount = Principal + New Interest = 4000 + 6000 = ₹10000

∴ The correct answer is ₹10000.

Alternate Method

Principal ₹4000

Rate = R% SI = ₹3000

Rate = 2R% SI = ₹6000

Amount 1 ₹7000

Amount 2 ₹10000

Given:

Principal (P) = ₹4000

Amount (A₁) = ₹7000

Time (T) = 6 years

Formula Used:

Simple Interest (SI) = Amount − Principal

SI = (P × R × T) ÷ 100

Calculations:

⇒ Original SI = 7000 − 4000 = ₹3000

⇒ Simple interest is directly proportional to the rate of interest (SI ∝ R).

⇒ When the rate is doubled, the interest will also double (since Time and Principal are constant).

⇒ New SI = 2 × 3000 = ₹6000

⇒ New Amount = Principal + New SI

⇒ New Amount = 4000 + 6000 = ₹10000

∴ The correct answer is ₹10000.

Additional Information

Simple Interest Proportionality

Simple Interest is directly proportional to Principal (P), Rate (R), and Time (T). If any one of these factors is multiplied by 'n', the simple interest is also scaled by exactly 'n'.

Amount Formula

The final Amount is the sum of Principal and the Simple Interest accumulated over the given time period. The general formula used is: A = P + SI = P × (1 + (R × T) ÷ 100).

Simple Interest vs Compound Interest

Unlike Compound Interest, Simple Interest is calculated exclusively on the original principal. Therefore, any linear change in the interest rate reflects linearly in the total interest.

Given:

Selling price (SP) of 39 articles = Cost price (CP) of 42 articles

Calculation:

SP × 39 = CP × 42

⇒ SP/CP = 14/13

Profite = 14 – 13 = 1

∴ Profit % = (1/13) × 100 = 7.69%

Alternate Method

Concept used:

In article-based problems

If cost article > selling article, there is profit and 

If selling article > cost article, there is loss

Profit% = (Cost article - Selling article)/Selling article × 100

Calculation:

According to the question, cost article > selling article so there is profit

Profit% = (42 - 39)/39 × 100 = 7.69%

∴ The correct answer is 7.69%

Given:

Marked price (MP) of a trouser = 2 × the cost price (CP)

⇒ MP/CP = 2/1

Calculation:

Let MP is m% more than the CP

m = [(MP – CP) /CP] × 100

⇒ m = 100%

∵ p = m – d – (m × d) /100 [∵ p = profit% and d = discount%]

⇒ 36 = 100 – d – (100 × d) /100

⇒ 36 = 100 – 2d

⇒ d = 64/2 = 32%

∴ discount = 32%

Calculation:

$\frac{{\sqrt 5 ; + ;\sqrt 4 }}{{\sqrt 5 - \sqrt 4 }} + \frac{{\sqrt 5 - \sqrt 4 }}{{\sqrt 5 ; + ;\sqrt 4 }}$

after rationalizing we get,

$\Rightarrow {\rm{;}}\frac{{\sqrt 5 ; + ;\sqrt 4 }}{{\sqrt 5 - \sqrt 4 }} \times \frac{{\sqrt 5 ; + ;\sqrt 4 }}{{\sqrt 5 ; + ;\sqrt 4 }} + \frac{{\sqrt 5 - \sqrt 4 }}{{\sqrt 5 ; + ;\sqrt 4 }} \times \frac{{\sqrt 5 - \sqrt 4 }}{{\sqrt 5 - \sqrt 4 }}$

$\Rightarrow {\rm{;}}\frac{{{{\left( {\sqrt 5 ; + ;\sqrt 4 } \right)}^2}}}{{{{\left( {\sqrt 5 } \right)}^2} - {{\left( {\sqrt 4 } \right)}^2}}} + \frac{{{{\left( {\sqrt 5 - \sqrt 4 } \right)}^2}}}{{{{\left( {\sqrt 5 } \right)}^2} - {{\left( {\sqrt 4 } \right)}^2}}}$

$\Rightarrow {\rm{;}}\frac{{5; + ;4; + ;2\sqrt {20} ; + ;5; + ;4 - 2\surd 20}}{{5 - 4}}$

⇒ 18

∴ The correct answer is 18

Concept used:

Total work = efficiency × time

Calculation:

P and Q can make a table in 16 days and 20 days respectivily

P’s single day work = 1/16

Q’s single day work = 1/20

Q’s single 5 day work = (1/20) × 5 = ¼

Remaining work to do = 1 – ¼ = 3/4

∴ P can complete the remaining work = (¾) ÷ (1/16) = 12 days

Shortcut Trick P can do the work in 16 days and Q can do that in 20 days

LCM of 16, 20 = 80 (total work)

Efficiency of P is 80/16 = 5 unit and for Q is 80/20 = 4 unit

In first 5 days Q done 4 × 5 = 20 unit of work,

The remaining work is (80 - 20) = 60 unit

P will done the remaining work in 60/5 = 12 days

Given:

A boat covers a distance of 14 km upstream and 16 km downstream in 9 hours.

It covers a distance of 12 km upstream and 40 km downstream in 11 hours.

Concept Used:

Upstream Speed = B - S

Downstream Speed = B + S

Time (T) = Distance (D)/Speed(S)

B = Speed of Boat

S = Speed of Stream

Calculation:

Let the speed of boat in still water = B km/hr and current flow = R km/hr

Speed in upstream = (B – R) = x

Speed in downstream = (B + R) = y

According to question,

14/x + 16/y = 9

⇒ 16x + 14y = 9xy ---- (1)

12/x + 40/y = 11

⇒ 40x + 12y = 11xy ---- (2)

Divide equation (1) by (2)

(16x + 14y) /(40x + 12y) = 9/11

⇒ 176x + 154y = 360x + 108y

⇒ 184x = 46y

⇒ x = y/4 ---- (3)

Putting value of ‘x’ in equation (1)

16y/4 + 14y = 9y × y/4

⇒ y = 8

From equation (3), x = 2

∵ x = (B – R) = 2 ---- (4)

y = (B + R) = 8 ---- (5)

Adding equation (4) and (5)

2B = 10

⇒ B = 5

∴ The speed of the boat in still water is 5 km/hr.

∵ A’ share in the business = Rs. 70 lakhs

B’ share in the business = Rs. 30 lakhs

C’ share in the business = Rs. 20 lakhs

D’ share in the business = Rs. 60 lakhs

E’ share in the business = Rs. 60 lakhs

F’ share in the business = Rs. 90 lakhs

G’ share in the business = Rs. 30 lakhs

∴ A got the second highest share in the profit

∵ A’ share in the business = Rs. 70 lakhs

B’ share in the business = Rs. 30 lakhs

C’ share in the business = Rs. 20 lakhs

D’ share in the business = Rs. 60 lakhs

E’ share in the business = Rs. 60 lakhs

F’ share in the business = Rs. 90 lakhs

G’ share in the business = Rs. 30 lakhs

∴ The total Profit of the business of the year 2017 = (70 + 30 + 20 + 60 + 60 + 90 + 30) = Rs. 360 lakhs

∵ Complete angle pie chart = 360°

The total Profit of the business of the year 2017 = (70 + 30 + 20 + 60 + 60 + 90 + 30) = Rs. 360 lakhs

The central angle of the sector representing share in profits of partner E = (60/360) × 360

∴ The central angle of the sector representing share in profits of partner E = 60°

∵ The total Profit of the business of the year 2017 = (70 + 30 + 20 + 60 + 60 + 90 + 30) = Rs. 360 lakhs

According to question,

C’s share in the profit of Rs. 45 lakhs = (20/360) × 45

∴ C’s share = Rs. 2.5 lakhs

Given:

The length and breadth of a rectangle are 15 cm and 8 cm

Formula used:

Perimeter of rectangle = 2(length + breadth)

Calculation:

Perimeter of rectangle = 2(length + breadth)

⇒ Perimeter of rectangle = 2(15 + 8) = 46 cm

∴ Option 1 is the correct answer.

Concept used:

• Area of semi-circle = 1/2 × (area of circle) = 1/2 × πr²

Calculation:

⇒ 693 = (22/7) × r²/2

⇒ r² = (693 × 7 × 2) /22

⇒ r = 21

∴ Radius of semi-circle = 21 cm

Given:

diameter of circular cone = 24 cm and slant height (l) = 14 cm

So, radius = 12 cm

Concept used:

Curved surface area of a right circular cone = π × r × l 

Calculation:

Curved surface area of a right circular cone = (22/7) × 12 × 14

∴ Curved surface area of a right circular cone = 528 cm²

Given:

ΔPQR is right angled triangle with ∠R = 30° and ∠Q = 90°

Concept used:

• Sum of three angles of a triangle is 180° 

• cos 60° = 1/2

Calculation:

By angle sum property, ∠P = 60°

cosP - 1/3

= cos 60° - 1/3

= ½ - 1/3

= 1/6

∴ The value of (cosP - 1/3) = 1/6

Given:

ΔABC measure of angle B is 90°

Concept used:

cot θ = base/perpendicular

Calculation:

Ratio of trigonometry, cot A = AB/BC

8/15 = 0.8/BC [∵ cot A = 8/15, and AB = 0.8 cm]

∴ BC = 1.5 cm

• A natural monopoly is a monopoly that exists because of the cost of producing the product i.e. a good or a service is lower due to economies of scale.
• A natural monopoly occurs whenever an industry is high, and its market shared among two or more rival plants owning duplicate distribution networks.
• A natural monopoly can also appear in smaller local markets for products that are difficult to transport.

• In India, the Public Sector is most dominant in Commercial Banking
• A Commercial Bank can accept deposits, offers to check account services and makes business, personal and mortgage loans.
• It can also issue the financial product such as Certificates of Deposit and Savings Accounts to individuals and small businesses.

• The deepest Lake in the world is Baikal Lake.
• It is the largest freshwater lake by volume in the world, containing 22–23% of the world's fresh surface water.
• It contains more water than the North American Great Lakes combined with a maximum depth of 1,642 mt.
• It is also the world's deepest lake.

• Kolleru Lake is one of the largest freshwater lakes in India located in the state of AndhraPradesh.
• It makes the largest shallow freshwater lake in Asia.
• There is also Kolleru Bird Sanctuary that covers mainly two districts of Andhra Pradesh namely - Krishna and West Godavari districts.

The correct answer is Sasaram.

Key Points

• Sher Shah Suri was born in Narnaul city in the Mahendragarh district of Haryana.
• His grandfather Ibrahim Suri was the Jagirdar of Narnaul.
• Sher Shah Suri was killed on 22 May 1545 during the siege of Kalinjar fort against the Rajputs of Mahoba.
• When all tactics to subdue this fort failed, he ordered the fort's walls to be blown up with gunpowder, but he himself was seriously wounded as a result of the explosion of a mine.
• He was succeeded by his son Jalal Khan, who took the title of Islam Shah Suri.
• His mausoleum, the Sher Shah Suri Tomb stands in the middle of an artificial lake at Sasaram, a town on the Grand Trunk Road.

The correct answer is Lord Wellesley.

Key Points

• Lord Wellesley (1798 AD-1803 AD ):
• He introduced the system of the Subsidiary alliance.
• Madras Presidency was formed during his tenure.
• The fourth Anglo-Mysore War was fought by him in 1799 AD, and Tipu Sultan died.
• He signed the first subsidiary treaty with Nizam of Hyderabad.
• He set up Fort William College in Calcutta in 1800 AD. 
• He was also known as Bengal Tiger.
• He brought the censorship of the Press Act, 1799 AD.
• Treaty of Bassein was signed during his tenure in 1802 AD.

Additional Information

• Lord Cornwallis started the permanent settlement of Bengal.
• The first governor-general in India (of Bengal) was Warren Hastings in 1773.
• The Dual System of Government in  Bengal was introduced by Lord Clive.
• Clive served twice as Governor of Bengal.
• He was the Governor of Bengal from 1757-60 and from 1765-67.

• Syadvada was the fundamental basis of Jainism.
• It is the teaching of the relativism of judgments states that all actual and possible statements regarding an object are respective.
• The fundamental way of living is Non-Violence, Non-hurting, Non-harming, Non-hating, Truthfulness, Non-stealing, Celibacy, and Non-Possessiveness of things, people and thoughts.

• Latin America and the Caribbean countrieshave been ranked as the world's most violent region for women.
• In this region, the rate of sexual violence against women outside of relationships is the highest. in the world.
• The second-highest for those who are in or were in a relationship.

• Manushi Chillar won the title of Miss World 2017.
• She is the sixth Indian woman to win Miss World title.
• She was also the winner of Miss India 2017.
• She was inaugurated by Miss World 2016, Miss Stephanie Del Valle.

• The Royal Bengal tiger is the national animal of Bangladesh.
• Royal Bengal tiger is the symbol of bravery and sharp intelligence.
• They are also representing the power as they are very strong.
• As they are such a powerful, intelligent and majestic animal, Royal Bengal tiger is regarded as the national animal of Bangladesh.

• In the modern periodic table while going from top to bottom in a group the size of an atom increases.
• From left to right in a periodic table, the atomic volume first decreases due to the increase of nuclear charge**.**
• The number of electrons in the valence shell keeps increasing, results in a decrease of effective nuclear charge due to the shielding effect**.** Due to this atomic radius increases and thus atomic volume increases

.

• Milk is not a Compound, it is a colloidal mixture.
• Ammonia is a Compound of Nitrogen and Hydrogen with the formula NH₃.
• Sodium chloride is a Compound used by our body to absorb and transport nutrients and also to maintain blood pressure. Its formula is NaCl.
• Chalk is a Compound. Its formula is CaCO₃. It is a form of limestone which is made up of the mineral Calcite.

• According to Article 75 of Indian Constitution, the ministers are collectively responsible to the Parliament in general and to the Lok Sabha in particular.
• Lok Sabha is the bridge between the Executive and the Legislature.
• The Lok Sabha is the lower house of bicameral Parliament.
• The total number of Ministers, including the Prime Minister, in the Council of Ministers, shall not exceed fifteen per cent of the total number of members of Lok Sabha.

• The marriage differs around the world between cultures and religions. Divorce requires the sanction of a court or other authority in a legal process, which may involve issues of maintenance.
• India has excess power generation capacity, but it lacks in appropriate infrastructure for supplying electricity to all needful people.
• Labour welfare improves physical, mental and moral conditions of the worker.
• It includes housing, medical, educational, restrooms, recreation, canteen, games and sports club facilities, adequate wages, reasonable working hours, insurance etc.

The correct answer is Contractile protein

Contractile protein:

• Contractile protein is the special proteins in muscles that contract and relax to cause movement.
• The cytoplasm of cells is a colloidal network of contractile proteins.
• Actin filaments are the major components of this network.
• Other contractile proteins interact with this filament to create structural rigidity and movement.

• A Pteridophyte is a plant having a body that is differentiated into roots, stems and leaves and has a specialized tissue for the conduction of water and other substances.
• It is a sensulato is a vascular plant with xylem and phloem that reproduces through spores.
• It contains the ferns, horsetails, and the lycophytes clubmosses, spike mosses, and quillworts.

• In January 2018, ‘Electoral Bonds’ Scheme was launched. Under this scheme, the electoral bonds will be available at specified branches of State Bank of India.
• It is the only approved bank to issue such type of bonds.
• A person being an individual can buy electoral bonds, either singly or jointly, with other individuals.
• Electoral bonds were issued at SBI branches in New Delhi, Mumbai, Kolkata and Chennai.

• By using Polyurethane foam the Researchers from Indian Institute of Technology – Bombay has made a low-cost piezoresistive vibration sensor.
• It is a polymer made up of biotic units joined by carbamate links.
• They are thermosetting polymers that do not melt when heated.
• Conventional piezoelectric and microelectromechanicalsystems-based vibration sensors developed for this type of applications.

• ICO(Initial Coin Offering) is related to Cryptocurrency.
• It is a digital asset designed to work as a medium of exchange that uses strong cryptography to secure financial transactions, control the creation of additional units, and it also verifies the transfer of assets.

• As per the Global Gender Gap report, India’s rank in the Educational Attainment pillar was 112. India scores 0.952.
• India’s overall literacy rate shows difference between men with eighty percent and women with fifty-ninepercent.

Correct answer is 75

CONCEPT:

• Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
• These equations are only valid when the acceleration of the body is constant and they move on a straight line.

There are three equations of motion:

V = u + at

V2 = u2 + 2 a S

${\text{S}} = {\text{ut}} + \frac{1}{2}{\text{a}}{{\text{t}}^2}$

Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.

CALCULATION:

Given that:

Initial velocity (u) = 10 m/s