SBI Clerk Prelims Memory Based Paper (Held On: 12 Jul 2021 Shift 1) (Previous Year Paper)

The correct answer is '(C)'.

Key Points

Reading the sentence we find that:

• The plural furnitures used in part C is incorrect.
• Furniture is an uncountable noun.
• We commonly use the term piece of furniture to refer to one or more items or to refer to different kinds of furniture.

The correct sentence will be: The room was crowded with small pieces of furniture, cupboards, and little tables.

Additional Information

• When a material noun denotes a mass of matter, it is not used in the plural form.
  - The house is built of brick and stone. (not bricks and stones)
• There are 4 types of uncountable nouns:
• Singular nouns that are always mass nouns - furniture, advice
• Plural nouns that are always mass nouns - clothes, scissors
• Nouns that can be unit nouns or mass nouns and have the same meaning - Coffee 
  - Unit: Can I get you a coffee?
  - Mass: I’ve spilled coffee all over my keyboard.
• Nouns that can be unit nouns or mass nouns but have different meanings - Control
  - Unit: The pilot sat down at the controls. (knobs and switches)
   - Mass: Since he retired he has been reluctant to relinquish control of the company. (command, domination)

The correct answer is '(C)'.

Key Points

Reading the sentence we find that:

• The emphatic pronoun himself used in part C cannot be used alone.
• Emphatic pronouns cannot stand alone as subjects.
• The sentence can be made correct by using an antecedent like he.

The correct sentence will be: He thought of the number of times that he himself had been a coward.

Additional Information

• An emphatic pronoun refers back to another noun (or pronoun) in the sentence to emphasize it.
• For example: The Queen herself attended the party. (The Queen is the noun being emphasized. It is called the antecedent of the emphatic pronoun.)

The correct answer is '(B)'.

Key Points

Reading the sentence we find that:

• The adverb greedily used in part B is incorrectly placed.
• Greedily  is an adverb of manner
• It cannot  be placed between a verb and its direct object
• The sentence can be made correct if we put greedily at the end of the clause.

The correct sentence will be: He ate the chicken sandwich greedily, in the manner of a starving man. 

Additional Information

• Adverbs of manner tell us how something happens.
• An adverb of manner cannot be put between a verb and its direct object.
• The adverb must be placed either before the verb or at the end of the clause.
  
• Incorrect - He gave us generously the money.
• Correct - He gave us the money generously.

The correct answer is '(B)'.

Key Points

Reading the sentence we find that:

• The adjective order some Mughal silver charming used in part B is incorrect.
• The order of cumulative adjectives is as follows: quantity, opinion, size, temperature, age, color, shape, origin, and material
• The sentence can be made correct if we reorder the adjectives in the following manner - some charming Mughal silver ( quantity- opinion - age - material)

The correct sentence will be: I bought some charming Mughal silver ornaments at the Hauz Khas market and enjoyed visiting the ruins yesterday. 

Additional Information

• When a number of adjectives are used together, the order depends on the function of the adjective. The usual order is:
• quantity, value/opinion, size, temperature, age, shape, colour, origin, material

• For example - I love the beautiful old big green antique car that is always parked at the end of the street. [quality – age – size – color – origin]

The correct answer is 'No error'.

Key Points

• Reading the sentence we find that it is grammatically correct.
• The sentence talks about how a person had got shot on his leg and hence was admitted to the hospital for it.

The correct answer is '(C)'.

Key Points

Reading the sentence we find that:

• The present continuous tense making used in part C is incorrect.
• We don’t use the present continuous tense for facts and permanent situations. We use the present simple tense.
• The sentence can be made correct if we use the simple present tense makes.

The correct sentence will be: There's a morning Rajdhani train that makes the trip from Kolkata to Delhi in less than ten hours.

Additional Information

• We use the simple present tense when an action is happening right now, or when it happens regularly (or unceasingly, which is why it’s sometimes called present indefinite).
• Depending on the person, the simple present tense is formed by using the root form or by adding ‑s or ‑es to the end.
• I ride a bike.
• She rides a bike.
• They ride a bike.

Reciprocation means a mutual exchange, to share the same feelings as someone else.

Result is a consequence or outcome.

Propaganda refers to information, especially of a biased or misleading nature, used to promote a political cause or point of view.

Ramifications mean the possible results of an action, often an unwelcome one.

Intimidation means to frighten or threaten someone.

'Ramifications' is the perfect choice hence, option 4 is the correct answer.

The correct answer is powers.

Key Points

• Reading the given sentence we find that:
• The sentence is talking about a quality that the virus had which makes it difficult to kill or cure.
• Power: great or marked ability to do or act.
• For Example - His phone was destroyed and his power drained.
• Out of the given options, only power is the correct option.
• Thus, the correct answer is Option 3.

Additional Information

• Let's look at the meaning of the other words given in options:-
• Freedom - the power or right to act, speak or think as one wants.
• Terms - a fixed or limited period for which something, for example, office, imprisonment, or investment, lasts or is intended to last.
• Agony - extreme physical or mental suffering.
• Safe - protected from or not exposed to danger or risk; not likely to be harmed or lost.

The correct answer is slippery. 

Key Points

Let's look at the meaning of the given word slippery. 

• Slippery: difficult to hold firmly or stand on because it is smooth, wet, or slimy.
• Thus from the given meaning we can conclude that the snow melted and made the road wet and slimy.

Therefore the correct answer is slippery. 

Additional Information

• shallow: of little depth.
• impolite: not having or showing good manners; rude.
• capable: having the ability, fitness, or quality necessary to do or achieve a specified thing.

The correct answer is dreams. 

Key Points

• In the given sentence, we need a word close to the meaning of 'a cherished aspiration, ambition, or ideal' to fill in the blank.
• Let us see the meanings of the given words:
• Loss: the fact that you no longer have something or have less of something
• Series: a number of similar or related events or things, one following another
• Basis: the most important facts, ideas, etc. from which something is developed
• Dreams: something that you want to happen very much but that is not very likely
• Answers: a solution to a problem
• From the meanings of the words, we can say that 'dreams' is the most appropriate answer.
• Therefore, the correct answer is 'dreams.'
  

​The complete sentence: The tortoise jumped into the lake with dreams of becoming a sea turtle.

The correct answer is displayed. 

Key Points

• In the given sentence, we need a word close to the meaning of 'exhibited' to fill in the blank.
• Let us see the meanings of the given words:
• Suspended: to stop something from being active, either temporarily or permanently
• Spent: having been used and unable to be used again
• Displayed: to show something or a collection of things in an organized way for people to see
• Surrounded: to be everywhere around something
• Commanded: control over someone or something and responsibility for him, her, or it
• From the meanings of the words, we can say that 'displayed' is the most appropriate answer.
• Therefore, the correct answer is 'displayed.'

​The complete sentence: It was a strange fact, however, that talent and skill, if displayed for too long, cease to dazzle.

The correct answer is success. 

Key Points

• In the given sentence, we need a word close to the meaning of 'accomplishment' to fill in the blank.
• Let us see the meanings of the given words:
• Control: the power to influence or direct people's behaviour or the course of events
• Failure: lack of success
• Charity: an organization set up to provide help and raise money for those in need
• Variety: the quality or state of being different or diverse; the absence of uniformity or monotony
• Success: the accomplishment of an aim or purpose
• From the meanings of the words, we can say that 'success' is the most appropriate answer.
• Therefore, the correct answer is 'success.'

​The complete sentence**:** The novel was a great success and he gave up his job to pursue literature.

The correct answer is Both A and B.

Key Points

The meaning of ‘Squash’ is squeeze or force into a small or restricted space. It is a verb.

• In sentence A, the word has been correctly used. Here the word squashed is aptly used for describing the unavailability of space and it fits the context perfectly.
• In sentence B, squash means ‘to put an end to something that troubles someone’. So it fits the context perfectly where it is used for the simmering tensions between the two communities.
• In sentence C, squash is inappropriately used. It should be replaced with either ‘crash’ or ‘ram’ to make the sentence contextually correct.

Additional Information

Crash or ram- hit or drive a vehicle into something.

The correct answer is '​Both B and C'.

Key Points

• The meaning of the word 'Drowsy' is 'sleepy and lethargic; half asleep'. It is an adjective.
• In sentence A, the word 'drowsy' is incorrectly used. Here, 'although' is used which means even though or in spite of. Hence, the word 'active' which means 'energetic' should be used.
• Sentence B has correctly used the given word. It is said that the person regained some consciousness but was uncomfortable and half asleep.
• Sentence C has correctly used the given word. As the person had just woken up, he was still half asleep. 
  

Additional Information

• Synonyms of 'Drowsy' are: Sleepy, Dozy.
• Antonyms of 'Drowsy' are: Wakeful, Alert.

The correct answer is Both A and C. 

Key Points

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

Analysis: Detailed examination, inspection.

Reading the given meaning and the sentences, it is clear that the correct statements are A and C. 

In statement B 'analysis of his new car' is the wrong usage.

The correct answer is Only A. 

Key Points

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

• Vulgar: lacking sophistication or good taste.
• Reading the given sentences we find that:
• The only sentence where vulgar is correctly used is A.

Therefore the correct answer is Only A.

The correct answer is option 5.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Cautious: being careful to avoid potential problems or dangers. (सावधान, चौकस)
• Now, let's examine the given sentences:
• Sentence A: He was such a reckless and cautious driver that nobody wanted to get in his car.
• This sentence incorrectly uses the word "cautious" because "reckless" and "cautious" are contradictory terms.
• Sentence B: The cautious zebra failed to notice the approaching lion and was mindlessly jumping around in the field.
• This sentence incorrectly uses the word "cautious" because a cautious zebra would be aware of the approaching lion and avoid danger.
• Sentence C: Her cautious attitude irked her mother as she knew that one day it would get her into trouble.
• This sentence incorrectly uses the word "cautious" because being cautious typically helps avoid trouble, not cause it.
• So, none of the sentences correctly use the word "cautious" to illustrate its proper meaning.

Therefore, the correct answer is "None of the above."

The correct answer is Option 3.

Key Points

• We can see that it is mentioned in the third sentence of the first paragraph, "Part of the problem is the large gap between people's perception of fish intelligence and the scientific reality."
• From this, all other options get easily eliminated.
• Hence, the correct answer is option 3.

The correct answer is Option 4.

Key Points

• We see that it is mentioned in the last sentence of the first paragraph, "The perception of an animal's intelligence often drives our decision whether or not to include them in our moral circle."
• Thus, all other options get easily eliminated leaving only option 4 to be correct.
• Hence, the correct answer is option 4.

The correct answer is Option 1.

Key Points

• It is mentioned in the second sentence of the second paragraph, "There has been a debate about fish welfare for decades which centres on the question of whether they are sentient or conscious."
• So clearly 'The question of whether they are sentient or conscious.' is the correct answer.
• All options get easily eliminated leaving only option 1 to be correct.

The correct answer is Option 4.

Key Points

• Option 1- It is mentioned in the fifth sentence of the second paragraph, "The review reveals that fish perception and cognitive abilities are abundant, often matching or exceeding other vertebrates." So, this statement is true.
• Option 2- It is mentioned in the first sentence of the first paragraph, "Fish are one of the most highly utilized and intriguing vertebrate taxa by humans; they are harvested from wild stocks as part of global fishing industries," This statement is true.
• Option 3- This sentence is mentioned in the first sentence of the second paragraph, "From a welfare perspective, most researchers would suggest that if an animal is sentient, then it can most likely suffer and should therefore be offered some form of formal protection."
• Option 4- It is mentioned in the second paragraph, " A review of the evidence for pain perception strongly suggests that fish experience pain in a manner similar to the rest of the vertebrates." Only this statement is false.
• Hence, only option 4 is correct.

The correct answer is Option 4.

Key Points 

• The passage mentions the statement in the fourth sentence of the second paragraph, "Here, the passage reviews the current state of knowledge of fish cognition starting with their sensory perception and moving on to cognition."
• Hence, option 4 is the correct answer.

The correct answer is Option 2.

Key Points

• It is mentioned in the very first sentence of the first paragraph, "Fish are one of the most highly utilized and intriguing vertebrate taxa by humans; they are harvested from wild stocks as part of global fishing industries, grown under intensive aquaculture conditions, are the most common pet and are widely used for scientific research. "
• Hence, the correct answer is option 2.

The correct answer is Gripping. 

Key Points

• Intriguing means engaging the interest to a marked degree.
• Example- This intriguing book is both thoughtful and informative.
• Its synonyms are- interesting, fascinating, absorbing, compelling, gripping, riveting, captivating, engaging, enthralling, diverting, titillating, tantalizing. stimulating, thought-provoking, etc.
• Its antonyms are- boring, drab, dry, dull, heavy, monotonous, tedious, uninteresting, etc.
• Hence, the correct answer is option 1.

The correct answer is Plentiful. 

Key Points

• Abundant means existing in very large quantities; more than enough.
• Example- Mosquitoes are extremely abundant in this dark wet place.
• Its synonyms are- ample, bountiful · copious, generous, heavy, rich, sufficient, etc.
• Its antonyms are- bare, minimal, scant, spare, etc.
• Hence, the correct answer is option 1.

Correct option - 2

On looking at the given sentences, we observe that it is based on how people judge each other by their skin, gender, etc. Similarly, trees are also being judged by such characteristics and considered which tree is dispensable(which can be replaced) and which is indispensable. So, the 1st sentence should be B since it gives the general view of the passage. Since several parameters are shown in B, among which the most important parameter is the judgement of a person based on whether he is a native or foreigner. That is further stressed upon in A. Thus, A is the 2nd sentence, i.e. BA. Now, a similarity of judging trees on the same parameters is shown in C. Thus, C is the 3rd sentence, i.e. BAC. So, an example of judging of trees on such a parameter is shown in E. Thus, E is the 4th sentence, i.e. BACE. Hence, the last(fifth) sentence is D. Thus, the correct sequence is BACED. 

Option 2 i.e. B is the correct answer.

Correct option - 1

On looking at the given sentences, we observe that it is based on how people judge each other by their skin, gender, etc. Similarly, trees are also being judged by such characteristics and considered which tree is dispensable(which can be replaced) and which is indispensable. So, the 1st sentence should be B since it gives the general view of the passage. Since several parameters are shown in B, among which the most important parameter is the judgement of a person based on whether he is a native or foreigner. That is further stressed upon in A. Thus, A is the 2nd sentence, i.e. BA. Now, a similarity of judging trees on the same parameters is shown in C. Thus, C is the 3rd sentence, i.e. BAC. So, an example of judging of trees on such a parameter is shown in E. Thus, E is the 4th sentence, i.e. BACE. Hence, the last(fifth) sentence is D.  Thus, the correct sequence is BACED. 

Option 1 i.e. A is the correct answer.

Correct option - 5

On looking at the given sentences, we observe that it is based on how people judge each other by their skin, gender, etc. Similarly, trees are also being judged by such characteristics and considered which tree is dispensable(which can be replaced) and which is indispensable. So, the 1st sentence should be B since it gives the general view of the passage. Since several parameters are shown in B, among which the most important parameter is the judgement of a person based on whether he is a native or foreigner. That is further stressed upon in A. Thus, A is the 2nd sentence, i.e. BA. Now, a similarity of judging trees on the same parameters is shown in C. Thus, C is the 3rd sentence, i.e. BAC. So, an example of judging of trees on such a parameter is shown in E. Thus, E is the 4th sentence, i.e. BACE. Hence, the last(fifth) sentence is D. Thus, the correct sequence is BACED.  

Option 5 i.e. C is the correct answer.

Correct option - 3

On looking at the given sentences, we observe that it is based on how people judge each other by their skin, gender, etc. Similarly, trees are also being judged by such characteristics and considered which tree is dispensable(which can be replaced) and which is indispensable. So, the 1st sentence should be B since it gives the general view of the passage. Since several parameters are shown in B, among which the most important parameter is the judgement of a person based on whether he is a native or foreigner. That is further stressed upon in A. Thus, A is the 2nd sentence, i.e. BA. Now, a similarity of judging trees on the same parameters is shown in C. Thus, C is the 3rd sentence, i.e. BAC. So, an example of judging of trees on such a parameter is shown in E. Thus, E is the 4th sentence, i.e. BACE. Hence, the last(fifth) sentence is D. Thus, the correct sequence is BACED. 

Option 3 i.e. E is the correct answer.

Correct option - 3

On looking at the given sentences, we observe that it is based on how people judge each other by their skin, gender, etc. Similarly, trees are also being judged by such characteristics and considered which tree is dispensable(which can be replaced) and which is indispensable. So, the 1st sentence should be B since it gives the general view of the passage. Since several parameters are shown in B, among which the most important parameter is the judgement of a person based on whether he is a native or foreigner. That is further stressed upon in A. Thus, A is the 2nd sentence, i.e. BA. Now, a similarity of judging trees on the same parameters is shown in C. Thus, C is the 3rd sentence, i.e. BAC. So, an example of judging of trees on such a parameter is shown in E. Thus, E is the 4th sentence, i.e. BACE. Hence, the last(fifth) sentence is D. Thus, the correct sequence is BACED. 

Option 3 i.e. D is the correct answer.

Shortcut Trick

Net change in marks = (Correct marks) − (Wrong marks)

Net change = (65 + 69) − (56 + 38) = 134 − 94 = +40

Average change = Total change ÷ Number of students = 40 ÷ 40 = +1

Correct Average = Old average + Average change = 75 + 1 = 76

∴ The correct answer is 76.

Alternate Method

Given: Number of students = 40, Old Average = 75, Wrong marks = 56, 38, Correct marks = 65, 69.

Formula: Correct Average = [ (Average × N) − (Wrong Sum) + (Correct Sum) ] ÷ N

⇒ Total Marks (Incorrect) = 40 × 75 = 3000

⇒ Total Correct Marks = 3000 − (56 + 38) + (65 + 69)

⇒ Total Correct Marks = 3000 − 94 + 134

⇒ Total Correct Marks = 3000 + 40 = 3040

⇒ Correct Average = 3040 ÷ 40

⇒ Correct Average = 76

∴ The correct answer is 76.

Additional Information

Net Deviation Method

When values are misread, calculate the net error. New Average = Old Average + (Net Error ÷ Total Observations).

Combined Average

The average of two groups combined is (n₁x₁ + n₂x₂) ÷ (n₁ + n₂).

Weighted Average

Used when different groups have different importance or sizes. Formula: Σw_ix_i ÷ Σw_i.

Shortcut Trick

Total Work = LCM(18, 15) = 90 units.

Efficiency: A = 5 units/day, B = 6 units/day.

Work done by B in 10 days = 10 × 6 = 60 units.

Remaining work = 90 − 60 = 30 units.

Time taken by A = 30 ÷ 5 = 6 days.

∴ The correct answer is 6 days.

Alternate Method

Given: Time taken by A = 18 days, Time taken by B = 15 days, B works for 10 days.

Formula Used: Total Work = Days × Efficiency; Remaining Work = Total Work − Work Done.

⇒ Work completed by B in 10 days = 10 × 6 = 60 units

⇒ Remaining Work = 90 − 60 = 30 units

⇒ Time taken by A to finish remaining work = 30 ÷ 5

⇒ Time = 6 days

∴ The correct answer is 6 days.

Additional Information

Work and Efficiency Relation

Efficiency is inversely proportional to the time taken to complete a work. Efficiency = Total Work ÷ Time.

Remaining Work Concept

When a person leaves, the remaining work is calculated by subtracting the work already done from the total LCM-based work.

Fractional Method

If B works for 10 days, he completes 10/15 = 2/3 of the work. Remaining work is 1 − 2/3 = 1/3. Time for A = 1/3 × 18 = 6 days.

Shortcut Trick

Since the Principal (P) and Interest (I) are constant, the product of Rate (R) and Time (T) must be equal.

R₁ × T₁ = R₂ × T₂

5% × 8 years = R₂ × 5 years

R₂ = (5 × 8) ÷ 5 = 8%

∴ The correct answer is 8%.

Alternate Method

Given: Simple Interest (SI) = ₹840, Rate (R₁) = 5%, Time (T₁) = 8 years, New Time (T₂) = 5 years.

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

⇒ Case 1: 840 = (P × 5 × 8) ÷ 100

⇒ 840 = (P × 40) ÷ 100 ⇒ 840 = 0.4P

⇒ P = 840 ÷ 0.4 = ₹2100

⇒ Case 2: 840 = (2100 × R × 5) ÷ 100

⇒ 840 = 21 × R × 5

⇒ 840 = 105 × R

⇒ R = 840 ÷ 105 = 8%

∴ The correct answer is 8%.

Additional Information

Constant Interest Relationship

When the Principal and Interest remain the same, the Rate is inversely proportional to Time (R₁T₁ = R₂T₂).

Simple Interest Formula

Simple Interest (SI) = (P × R × T) / 100, where P is Principal, R is Rate of Interest per annum, and T is Time in years.

Amount Formula

Total Amount (A) = Principal (P) + Simple Interest (SI) = P(1 + RT/100).

Shortcut Trick

Age Difference remains constant: 50 − 36 = 14 years.

Future ratio 3 : 4 → Difference between parts = 4 − 3 = 1 unit.

Equating difference: 1 unit = 14 years.

Future age of A = 3 × 14 = 42 years.

k = Future age − Present age = 42 − 36 = 6 years.

∴ The correct answer is 6.

Alternate Method

Given: Present age of A = 36, Present age of B = 50. Future ratio after k years = 3 : 4.

Formula: (Present Age + k) / (Present Age + k) = Future Ratio

⇒ (36 + k) / (50 + k) = 3 / 4

⇒ 4 × (36 + k) = 3 × (50 + k)

⇒ 144 + 4k = 150 + 3k

⇒ 4k − 3k = 150 − 144

⇒ k = 6

∴ The correct answer is 6.

Additional Information

Constant Age Difference

The numerical difference between the ages of two persons never changes over time. If A is 14 years younger than B now, he will always be 14 years younger.

Ratio and Proportion in Ages

When ages increase by the same number of years (k), the ratio changes but the difference in ratio units must be scaled to match the actual age difference.

Shortcut Trick

Let the volume of water poured into each jar be 1 unit.

Capacity of Jar 1 (1/4 full) = 4 units | Capacity of Jar 2 (1/3 full) = 3 units.

Jar 1 is the larger jar (capacity 4) and Jar 2 is the smaller jar (capacity 3).

Total water in Jar 1 after pouring water from Jar 2 = 1 + 1 = 2 units.

Part of larger jar filled = 2 ÷ 4 = 1/2.

∴ The correct answer is 1/2.

Alternate Method

Given:

Amount of water in both jars is equal. Let the amount be x.

For Jar A (Greater capacity): (1/4) × Capacity_A = x ⇒ Capacity_A = 4x

For Jar B (Lesser capacity): (1/3) × Capacity_B = x ⇒ Capacity_B = 3x

Calculations:

⇒ Total water to be contained in Jar A = Water initially in A + Water from B

⇒ Total Water = x + x = 2x

⇒ Fraction of Jar A filled = (Total Water) ÷ (Capacity_A)

⇒ Fraction = 2x ÷ 4x

⇒ Fraction = 1/2

∴ The correct answer is 1/2.

Additional Information

Ratio of Capacities

When the same quantity fills different fractions of two vessels, the capacities are inversely proportional to those fractions. Ratio C₁ : C₂ = (1/f₁) : (1/f₂).

Fraction Addition

To find the final filled part, always divide the total volume of liquid by the total capacity of the destination container.

From the Data

Total number of student = 60 

Number of boys = 5/7 of Number of girls 

So, Number of boys : Number of girls = 5 : 7 

then, Number of girls = (7/12) × 60 = 35 

∴ The Number of girls is 35.

From the Data

Total number of student = 60 

Number of boys = 5/7 of Number of girls 

So, Number of boys : Number of girls = 5 : 7 

then, Number of girls = (7/12) × 60 = 35 

Number of girls who like roses = (2/7) × 35 = 10

Number of boys who like sunflower = 60% of number of boys = 6

Number of girls who likes sunflower = 2.5 × Number of boys who likes sunflower = 2.5 × 6 = 15

Number of girls who like lotus = 35 - 15 - 10 = 10 

Number of boys who like Lotus = (15/150) × 100 = 10

Ratio of Number of girls and boys who like lotus = 10 : 10 = 1 : 1 

∴ The required answer is 1 : 1

​From the Data

Total number of student = 60 

Number of boys = 5/7 of Number of girls 

So, Number of boys : Number of girls = 5 : 7 

then, Number of girls = (7/12) × 60 = 35 

Number of girls who like roses = (2/7) × 35 = 10

Number of boys who like sunflower = 60% of number of girls who like roses = 6

Number of girls who likes sunflower = 2.5 × Number of boys who likes sunflower = 2.5 × 6 = 15

Number of boys who like Lotus = (15/150) × 100 = 10

Number of boys who like roses = 25 - 10 - 6 = 9 

Total number of student who likes roses = 10 + 9 = 19

∴ The required answer is 19

From the Data

Total number of student = 60 

Number of boys = 5/7 of Number of girls 

So, Number of boys : Number of girls = 5 : 7 

then, Number of girls = (7/12) × 60 = 35 

Number of girls who like roses = (2/7) × 35 = 10

Number of boys who like sunflower = 60% of number of boys = 6

Number of girls who likes sunflower = 2.5 × Number of boys who likes sunflower = 2.5 × 6 = 15

Number of girls who like lotus = 35 - 15 - 10 = 10 

Number of boys who like Lotus = (15/150) × 100 = 10

Number of boys who like roses = 25 - 10 - 6 = 9 

Required Percentage = (9/10) × 100 = 90%

∴ The required answer is 90%

From the Data

Total number of student = 60 

Number of boys = 5/7 of Number of girls 

So, Number of boys : Number of girls = 5 : 7 

then, Number of girls = (7/12) × 60 = 35 

Number of girls who like roses = (2/7) × 35 = 10

Number of boys who like sunflower = 60% of number of boys = 6

Number of girls who likes sunflower = 2.5 × Number of boys who likes sunflower = 2.5 × 6 = 15

Number of girls who like lotus = 35 - 15 - 10 = 10 

Number of boys who like Lotus = (15/150) × 100 = 10

Number of boys who like roses = 25 - 10 - 6 = 9 

Difference the number of boy who like sunflower and lotus and number of girls who like sunflower and roses = (15 + 10) - (10 + 6) 

⇒ 25 - 16 = 9 

∴ The required answer is 9

Calculation 

⇒ 5 + 4 = 9

⇒ 9 + 8 = 17 

⇒ 17 + 16 = 33 

⇒ 33 + 32 = 65 

⇒ 65 + 64 = 129 

∴ The wrong number in the series is 18

Calculation 

⇒ 15 + 2 = 17 

⇒ 17 + 3 = 20

⇒ 20 + 5 = 25 

⇒ 25 + 7 = 32 

⇒ 32 + 11 = 43 

∴ The wrong number is 19

Calculation 

⇒ 5 + 1 = 6 

⇒ 6 + 8 = 14 

⇒ 14 + 27 = 41

⇒ 41 + 64 = 105 

⇒ 105 + 125 = 230 

∴ The wrong number is 40

Calculation 

⇒ 540 ÷ 1 = 540 

⇒ 540 ÷ 2 = 270 

⇒ 270 ÷ 3 = 90 

⇒ 90 ÷ 4 = 22.5 

⇒ 22.5 ÷ 5 = 4.5 

∴ The wrong number is 135

Calculation 

⇒ 120 - 40 = 80 

⇒ 80 - 20 = 60

⇒ 60 - 10 = 50  

⇒ 50 - 5 = 45 

⇒ 45 - 2.5 = 42.5 

∴ The wrong number in the series is 65

Calculation 

(3.9 + 4.1) × 2.5 + 9 – 25 = ?²

⇒ 8 × 2.5 + 9 - 25 = ?²

⇒ 20 + 9 - 25 = ?²

⇒ ? = √4 = 2  

∴ The required answer is 2

Calculation 

Using BODMAS Rule 

60% of 90 + 12.5% × 64 – 39 + 16 = ?

⇒ 54 + 8 - 39 + 16 = ?

⇒ 39 = ? 

∴ The correct answer is 39

Calculation:

[(306/17) x 12] ÷ 6 + 18 - 30 = ?

⇒ [18 x 12] ÷ 6 + 18 - 30 = ?

⇒ 216 ÷ 6 + 18 - 30 = ?

⇒ 36 + 18 - 30 = ?

⇒ 54 - 30 = ?

⇒ 24 = ?

∴ The correct answer is 24

Calculation 

(123 – 51) ÷ 3 + 33 – ? = 239

⇒ (1728 - 51) ÷ 3 + 27 - ? = 239 

⇒ 559 + 27 - ? = 239 

⇒ ? = 347 

∴ The correct answer is 347

Calculation 

Using BODMAS Rule 

(33.98 + 28.02 + 2)1/2 × 3.2 – 11.6 = ?

⇒ (64)^1/2 ×  3.2 - 11.6 = ?

⇒ 25.6 - 11.6 = ?

⇒  ? = 14 

∴ The correct answer is 14

Given:

Production by A in January = 4.4 tones

Production by B in January = 2.6 tones

Formula used:

Percentage Difference = (Final Value - Initial Value) × 100/Initial Value 

Solution:

Percentage Difference = (4.4 - 2.6) × 100/2.6

⇒ Percentage Difference = 69.23% =  69%(approx.)

∴ Production by A in January is 69%(approx.) more than Production by B in January.

Given:

Production in February by A = 2.4 tones

Production in February by B = 4.4 tones

Production in February by C = 1.8 tones

Production in February by D = 2.8 tones

Formula used:

Average = Sum of all observations/ number of observations 

Solution:

Average = (2.4 + 4.4 + 1.8 + 2.8)/4

⇒ Average = 2.85 tonnes

∴ The required average is 2.85 tonnes

Given:

Production by C in January = 3.6 tones

Production by D in January = 3 tones

Production in February by B = 4.4 tones

Production in February by C = 1.8 tones

Solution: 

Ratio of production done by C and D together in January to production done by B and C together in February = (3.6 + 3)/(4.4 + 1.8) 

⇒ Ratio = 6.6/6.2 = 33/31

∴ Ratio between production done by C and D together in January to production done by B and C together in February is 33 : 31.

From the graph:

Total Production in January = (4.4 + 2.6 + 3.6 + 3) = 13.6 tonnes

Total Production in February = (2.4 + 4.4 + 1.8 + 2.8) = 11.4 tonnes

Difference in Production in January and February = 13.6 - 11.4 = 2.2 tonne = 2.2 × 1000 kg = 2200 kg 

∴ The required answer is 2200 kg

From the Graph 

Production by A in February month = 2.4 tonnes

Production by C in January month = 3.6 tonnes 

Total Production by them in respective months = 2.4 + 3.6 = 6 tonnes 

∴ The required answer is 6 tonnes

Calculation 

855.8 + 89.2 –  (19 × 12) + (64 ÷ 4) = ?

⇒ 945 - 228 + 16 = ?

⇒ ? = 733 

∴ The correct answer is 733

Calculation 

Using BODMAS Rule 

16.66% of 96 + 37.5% of 200 – (27 × 2) = ?

⇒ 1/6 × 96 + 3/8 × 200 - 54 = ?

⇒ 16 + 75 - 54 = ? 

⇒ ? = 37 

∴ The correct answer is 37

Calculation 

[(5/7) + (13/21)] × 6² + 50 – 76 = ?

⇒ [(15 + 13)/21] × 36 + 50 – 76  = ?

⇒ [28/21] × 36 + 50 – 76 = ?

​⇒ [4/3] × 36 + 50 – 76 = ?

⇒ 4 × 12 + 50 – 76= ?

⇒ 48 - 26 = ? 

⇒ ? = 22 

∴ The correct answer is 22

Calculation 

18.68 + 17.54 – 12.22 + 38.02 = ?

⇒ 36.22 - 12.22 + 38.02 = ?

⇒ 24 + 38.02 = ? 

⇒ ? = 62.02 

∴ The correct answer is 62.02

Calculation 

Using BODMAS 

50 × 42 ÷ 12 + 92 – 60 = ?²

⇒ 50 × 7 ÷ 2 + 9² – 60 = ?²

⇒ 25 × 7 + 81 - 60 = ?²

⇒ 175 + 21 = ?²

⇒ ? = √196 = 14 

∴ The correct answer is 14

Shortcut Trick

Price and Quantity are inversely proportional when the total expenditure is constant.

Initial Selling Price (at 4% loss) = 100% − 4% = 96%

Desired Selling Price (at 44% gain) = 100% + 44% = 144%

Ratio of Prices = 96 : 144 = 2 : 3

Ratio of Quantities = 3 : 2

Given 3 units = 9 pens, so 1 unit = 3 pens. Therefore, 2 units = 6 pens.

∴ The correct answer is 6.

Alternate Method

Given → Selling Price of 9 pens = Re. 1 | Loss = 4% | Desired Gain = 44%

Formulas: CP = (SP × 100) ÷ (100 − Loss%) | New SP = CP × (100 + Gain%) ÷ 100

⇒ SP of 1 pen = 1/9 rupee.

⇒ CP of 1 pen = (1/9 × 100) ÷ (100 − 4) = (1/9 × 100) ÷ 96 = 100/864 rupee.

⇒ New SP of 1 pen = (100/864) × (144/100) = 144/864 = 1/6 rupee.

⇒ Number of pens sold for 1 rupee = 1 ÷ (1/6) = 6.

∴ The correct answer is 6.

Additional Information

Price-Quantity Relation

When total value is fixed, quantity is inversely proportional to price per unit. If price increases by ratio a:b, quantity decreases by ratio b:a.

Cost Price from Multiple SPs

CP = (SP₁ × 100) ÷ (100 ± P/L₁) = (SP₂ × 100) ÷ (100 ± P/L₂). This allows finding a new SP directly from an old one.

Shortcut Trick

Downstream speed (D) = 30 ÷ 6 = 5 km/h

Upstream speed (U) = 30 ÷ 10 = 3 km/h

Speed in still water = (D + U) ÷ 2 = (5 + 3) ÷ 2 = 4 km/h

∴ The correct answer is 4 km/h.

Alternate Method

Given:

Distance (d) = 30 km

Time downstream (t₁) = 6 hrs

Time upstream (t₂) = 10 hrs

Formula Used:

Speed = Distance ÷ Time

Speed in still water (u) = (Downstream Speed + Upstream Speed) ÷ 2

Calculations:

⇒ Downstream speed (x + y) = 30 ÷ 6 = 5 km/h

⇒ Upstream speed (x − y) = 30 ÷ 10 = 3 km/h

⇒ Adding both equations: 2x = 5 + 3

⇒ 2x = 8

⇒ x = 4 km/h

∴ The correct answer is 4 km/h.

Additional Information

Speed of Stream

The speed of the current/stream (y) is calculated as: y = (Downstream Speed − Upstream Speed) ÷ 2.

Relative Speed in Water

Downstream speed = Speed in still water + Speed of stream. Upstream speed = Speed in still water − Speed of stream.

Average Speed for Round Trip

Average Speed = (Downstream Speed × Upstream Speed) ÷ Speed in still water.

Shortcut Trick

Convert speed: 36 kmph = 36 × (5/18) = 10 m/s.

Total distance = 290 m + 180 m = 470 m.

Time = Distance ÷ Speed = 470 ÷ 10 = 47 s.

∴ The correct answer is 47 s.

Alternate Method

Given:

Length of train (L₁) = 290 m

Length of bridge (L₂) = 180 m

Speed of train (v) = 36 km/h

Formula Used:

Speed = Distance ÷ Time

Time = (L₁ + L₂) ÷ Speed

Calculations:

⇒ Speed in m/s = 36 × (5/18)

⇒ Speed = 10 m/s

⇒ Total Distance = 290 + 180 = 470 m

⇒ Time taken = 470 ÷ 10

⇒ Time taken = 47 s

∴ The correct answer is 47 s.

Additional Information

Unit Conversion

To convert km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

Crossing Stationary Objects

When a train crosses a bridge, tunnel, or platform, the total distance covered is the sum of the length of the train and the object.

Relative Speed

In the same direction, relative speed is the difference (S₁ − S₂); in the opposite direction, it is the sum (S₁ + S₂).

Shortcut Trick

Apply the Chain Rule formula: M₁D₁ = M₂D₂

30 men × 25 days = M₂ men × 15 days

⇒ M₂ = (30 × 25) ÷ 15 = 2 × 25 = 50 men

∴ The correct answer is 50 men.

Alternate Method

Given:

Initial men (M₁) = 30

Initial days (D₁) = 25

Required days (D₂) = 15

Formula Used:

Total Work = Men × Days

Calculations:

⇒ Total work to dig the pond = 30 × 25 = 750 units

⇒ Number of men required to finish 750 units in 15 days = Total Work ÷ Days

⇒ Required men = 750 ÷ 15

⇒ Required men = 50

∴ The correct answer is 50 men.

Additional Information

Work and Men Relationship

Men and days are inversely proportional. If work is constant, M₁ ÷ M₂ = D₂ ÷ D₁.

General Man-Day Formula

For varying work, use (M₁ × D₁ × H₁) ÷ W₁ = (M₂ × D₂ × H₂) ÷ W₂, where H is hours and W is work.

Shortcut Trick

Savings of A = 100% − 85% = 15% of salary A.

Savings of B = 100% − 95% = 5% of salary B.

Since Savings are equal: 15% of A = 5% of B ⇒ 3A = 1B ⇒ A : B = 1 : 3.

Total Ratio parts = 1 + 3 = 4 units → ₹40000. So, 1 unit = ₹10000.

∴ The correct answer is ₹10,000.

Alternate Method

Given: Total salary = ₹40,000. Expenditure of A = 85%, Expenditure of B = 95%. Savings are equal.

⇒ Savings of A = (100 − 85)% of A = 15% of A

⇒ Savings of B = (100 − 95)% of B = 5% of B

⇒ 15% × A = 5% × B

⇒ A / B = 5 / 15 = 1 / 3

⇒ Sum of ratios = 1 + 3 = 4

⇒ Salary of A = (1 / 4) × 40000

⇒ Salary of A = ₹10,000

∴ The correct answer is ₹10,000.

Additional Information

Income Expenditure Formula

Income = Expenditure + Savings. This basic identity is used to calculate missing components when percentages are given.

Ratio of Salaries

If savings are equal, the ratio of salaries is inversely proportional to the savings percentage: Salary₁ × Savings%₁ = Salary₂ × Savings%₂.

Percentage to Fraction Conversion

To simplify calculations, convert percentages to fractions: 5% = 1/20, 15% = 3/20.

Eight persons - A, B, C, D, E, F, G  and H 

Months - January to August 

1) G was born in a month that has 31 days but not in the month of May. 

2) There is a gap of one month between G and A.

3. A born somewhere after G.

4. B was born in the month which has the least number of days.

5. There is a gap of two months between A and H.

6. E was born immediately after C.

7. Number of persons born before E is one more than the number of person born after E.

(This will eliminate Case 2)

8. F born before D.

Hence, three persons were born before C.

Eight persons - A, B, C, D, E, F, G  and H 

Months - January to August 

1) G was born in a month that has 31 days but not in the month of May. 

2) There is a gap of one month between G and A.

3. A born somewhere after G.

4. B was born in the month which has the least number of days.

5. There is a gap of two months between A and H.

6. E was born immediately after C.

7. Number of persons born before E is one more than the number of person born after E.

(This will eliminate Case 2)

8. F born before D.

Hence, G was born in the month of January.

Eight persons - A, B, C, D, E, F, G  and H 

Months - January to August 

1) G was born in a month that has 31 days but not in the month of May. 

2) There is a gap of one month between G and A.

3. A born somewhere after G.

4. B was born in the month which has the least number of days.

5. There is a gap of two months between A and H.

6. E was born immediately after C.

7. Number of persons born before E is one more than the number of person born after E.

(This will eliminate Case 2)

8. F born before D.

Hence, C and H were born in the month which has 30 days.

Eight persons - A, B, C, D, E, F, G  and H 

Months - January to August 

1) G was born in a month that has 31 days but not in the month of May. 

2) There is a gap of one month between G and A.

3. A born somewhere after G.

4. B was born in the month which has the least number of days.

5. There is a gap of two months between A and H.

6. E was born immediately after C.

7. Number of persons born before E is one more than the number of person born after E.

(This will eliminate Case 2)

8. F born before D.

Hence, D was immediately after F..

Eight persons - A, B, C, D, E, F, G  and H 

Months - January to August 

1) G was born in a month that has 31 days but not in the month of May. 

2) There is a gap of one month between G and A.

3. A born somewhere after G.

4. B was born in the month which has the least number of days.

5. There is a gap of two months between A and H.

6. E was born immediately after C.

7. Number of persons born before E is one more than the number of person born after E.

(This will eliminate Case 2)

8. F born before D.

Let's check each option:

1) G was born in the month of March. → False

2) There are two persons between A and E. → False

3) E was born immediately before H. → True

4) H was born in the month of July. → False

Hence, E was born immediately before H is true.

The least possible Venn diagram for the given statements is:

Conclusions:

I. Some apples are fruit. → False ( As there is no definite relation between apples and fruit. Therefore this is possible but not definite)

II. Some fruits are bananas. → True (As it is given "Only a few fruits are bananas" therefore some fruits are bananas is true)

Hence, only 2 follows is the correct answer.

The least possible Venn diagram is as follows:

Conclusions:

I. Some pink are black. → True (As it is given  all black are pink this imply that some pink are black.)

II. Some red are pink. → False (As there is no definite relation between red and pink. Therefore this is possible but not definite).

Hence, only 1 follows.

The least possible Venn diagram for the given statements is:

Conclusions:

I. All cats are animal. → False (No specific information given about cats and animals, hence, it is possible but not definite.)

II. Some cats  are not animal. → False ( No specific information given about cats and animals, hence, it is possible but not definite.)

Both of the above conclusions are following the conditions of 'either -or' pair.

Hence, either I or II follows.

Additional Information

 Conditions of Either-or case:

1. The elements should be the same in both the statements.
2. Both the conclusions should be false individually.
3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1. All + Some not

2. No + Some

Note: Some + Some not is not  considered under Either -or case.

The least possible venn diagram for the given statements is

Conclusions:

I. Some chairs are bed → False (No definite positive or negative relation is given between the elements, so it is possible but not definite, therefore it is false)

II. Some furniture are tables → False (No definite positive or negative relation is given between the elements, so it is possible but not definite, therefore it is false)

Hence, Neither conclusion I nor II follows.

The least possible venn diagram for the given statements is

Conclusions:

I. Some mobiles being pens is a possibility → True (As no definite or negative relation is given between the elements, therefore it is possible)

II. Some pens are not scales → True (As the relation of “only a few” is given between the elements, which implies that “some” and “some not” both are true)

Hence, Both conclusion I and II follows.

Eight persons - A, B, C, D, E, F, G and H

Floor - 1 to 4, Flat - 1 and 2

1. There are two floor between B and C. B lives above C in the different flats. So here two possibilities for this.

2) A lives just west of D but on the odd number of floors. So, here remaining odd number floor is number 3. F lives just above C

3. No person lives west of G who lives on fourth floor.

In Case - II B lives on flat - 1 so G lives between flat - 2, So here B lives west of G. It contradict the given condition no person lives west of G so here Case - II gets cancelled. 

4. H does not live on floor number one. So H will live on floor number 2. There is only one place remaining for the E, on floor number 1.

Hence, H lives just east of F.

Eight persons - A, B, C, D, E, F, G and H

Floor - 1 to 4, Flat - 1 and 2

1. There are two floor between B and C. B lives above C. So here two possibilities for this.

2) A lives just west of D but on odd number of floor. So, here remaining odd number floor is number 3. F lives just above C

3. No person lives west of G who lives on fourth floor.

In Case - II B lives on flat - 1 so G lives between flat - 2, So here B lives west of G. It contradict the given condition no person lives west of G so here Case - II gets cancelled. 

4. H does not live on floor number one. So H will live on floor number 2. There is only one place remaining for the E, on floor number 1.

Hence, B lives on Fourth Floor.

Eight persons - A, B, C, D, E, F, G and H

Floor - 1 to 4, Flat - 1 and 2

1. There are two floor between B and C. B lives above C. So here two possibilities for this.

2) A lives just west of D but on odd number of floor. So, here remaining odd number floor is number 3. F lives just above C

3. No person lives west of G who lives on fourth floor.

In Case - II B lives on flat - 1 so G lives between flat - 2, So here B lives west of G. It contradict the given condition no person lives west of G so here Case - II gets cancelled. 

4. H does not live on floor number one. So H will live on floor number 2. There is only one place remaining for the E, on floor number 1.

Hence, E lives just below H.