SBI Clerk Prelims Memory Based Paper (Held On: 22 Feb 2020) (Previous Year Paper)

The correct answer is All are incorrect

Key Points

Let's look at the following points-

• Going through the all given option we find that all given sentences are incorrect
• It concludes that option 5 is correct and therefore the answer.

Important Points

Now, let's look at the following points-

• Option 1 is incorrect as the conjunction used for adverb 'both' is 'and'; whereas in the given context 'as well as'
• Option 2 is incorrect as the conjunction for the adverb scarcely is paired with when and in the context then is mentioned
• Option 3 is incorrect as it uses the wrong format comprises of; It should be 'comprises' or 'is comprised of'.
• Option 4 is incorrect for the reason, If both the auxiliary verb and the main verb come in a sentence, the adverb of frequency/ degree is put between the auxiliary verb and the main verb; whereas in the given sentence it is given just after the subject i.e.they always had treated 
• For e.g.- They had rarely arrived late at work until yesterday.

The correct answer is 'I was upset when I learnt that I did not get the promotion but have since calmed down.'.

Key Points

• ​Option1st is contextually and grammatically correct
• Option 2 is incorrect as preposition 'among' should be used for more than two people or objects.
• Option 3 is incorrect as the preposition 'against' should be used with protest in place of 'for'.
• Option 4 is incorrect as the use of 'most' before 'ideal' is superfluous.

The correct answer is option 2)

Option 1 is incorrect as the adverb form of neat (neatly) is needed after 'more'.

Option 3 is incorrect as preposition on should be used with 'policy' before 'tourism'.

Option 4 is incorrect as article 'the' is not used before 'largest', the superlative degree of an adjective.

The correct answer is option 4)

Option 1 is incorrect as preposition 'on' should be used with 'depending'.

Option 2 is incorrect as much should be used in place of many because help is an uncountable noun.

Option 3 is incorrect as the correct syntax is "It+ to be (is/am/are/was/were) + subjective case". So the correct sentence will be- "It is he......".

The correct answer is option 3)

Key Points

• Sentence 1 "Neither the cruelty of the king or the torture of the ministers could demoralise the peasants of the kingdom or make them surrender to their demands" is incorrect. The correct use of 'neither...nor' or 'either...or' requires a partner for 'neither'. So this sentence should be revised to "Neither the cruelty of the king NOR the torture of the ministers could demoralise the peasants of the kingdom or make them surrender to their demands."
• Sentence 2 "He kept the books on the table and forgot all about it before leaving to college" is incorrect. It refers to multiple books but then the pronoun 'it' doesn't agree in number. The correct usage should be "He kept the books on the table and forgot all about THEM before leaving for college."
• Sentence 3"In various parts of the tropical country, the ponds just dry up due to the scorching heat of the summers" is grammatically correct and conveys its intended meaning effectively.
• Sentence 4 "Once appointed by the Governor, the Council of Ministers is answered to the house" is incorrect. The verb phrase "is answered to" here is an incorrect usage. In this context, the correct usage should be "Once appointed by the Governor, the Council of Ministers IS ANSWERABLE TO the house"

So, the correct sentence based on grammar, meaning, and usage is sentence 3: "In various parts of the tropical country, the ponds just dry up due to the scorching heat of the summers."

The correct answer is CBDA.

Key Points

• The first sentence is C as it introduces the topic, which is Dubai’s proposed underwater tennis court.
• The next sentence is B which provides more detail on the topic introduced, such as the architect who proposed the idea, and the location of the court.
• The next sentence is D which provides more information on the tennis court, information which is not as important and directly follows from the previous sentence.
• The last sentence A provides an argument against the above proposition, by questioning the feasibility of the idea.
• Therefore, the correct order is CBDA.

The complete paragraph is: After boasting of a tennis court high up in the air built atop the 1,000-foot-tall Burj al Arab hotel, Dubai has wooed an architect to test the waters for an underwater tennis court. Polish architect Krysztof Kotala has proposed to build an underwater tennis complex located offshore, between the Burj al Arab and the Palm Jumeirah islands. Designed with a massive curved roof, the undersea complex will spread out to hold seven courts. The sports arena will also double up as an aquarium with a rooftop coral reef, which will put on display an abundance of sea life for spectators as well as players. However, engineers and developers have voiced apprehensions about building the underwater arena as it poses many challenges which, at the moment, seem impossible to overcome.

The introduction is obviously the first sentence, and then the detail has been talked about making sentence C the second one followed by the sentence continuing the usage of the attention and the detail. And finally, what makes him different from the rest. So, the correct sequence is ACBD.

The first line will be sentence C as it is introducing what the passage is talking about and that is the Japanese people. Then they are being compared to the dealings in business and how they are different from the American people. And the difference is then mentioned where it is said that they reach it through effectiveness as it is not a ration. Hence, clearly the correct sequence is CBDA.

The introduction is the first sentence here and then his speeches have been discussed. His first inaugural address will be the second sentence and then his personality will be given importance and finally, in continuation with the campaign and what all he has mentioned in it. So, the correct sequence will be BACD.

All the statements must be read beforehand. The statement B is clearly the first  statement because that introduces the detective and the case. What the detective said comes next that is statement D. Since information in D is used in statement C, it comes next. And statement A is the last.

Correct option: 3) law - this is the most appropriate option.

As per the context of the passage, the city of Athens gave to its citizens the power of compelling their daughters to wed whomsoever they pleased;. By going through the lines given above we can say the citizens were given a kind of right or power with the help of a 'law'. Hence law is the most appropriate option. Meaning of the remaining words are given below.

tradition - an inherited, established, or customary pattern of thought, action, or behaviour (such as a religious practice or a social custom).

feeling - one of the basic physical senses of which the skin contains the chief end organs and of which the sensations of touch and temperature are characteristic: TOUCH.

law - a binding custom or practice of a community: a rule of conduct or action prescribed (see PRESCRIBE sense 1 a) or formally recognized as binding or enforced by a controlling authority.

hope -  to cherish a desire with anticipation: to want something to happen or be true.

pain - a localized or generalized unpleasant bodily sensation or complex of sensations that cause mild to severe physical discomfort and emotional distress and typically results from bodily disorder (such as injury or disease)

Correct option**: 2)** marry - this is the most appropriate option.

As per the context of the sentence we are talking about marriage, therefore 'marry' is the correct option. We can easily negate the rest of the options.

Correct option**: 1)** empowered - this is the most appropriate option.

Here we are talking about power and right throughout the passage, hence empowered is the most suitable option.

empowered - having the knowledge, confidence, means, or ability to do things or make decisions for oneself.

devastated - brought to a state of ruin or destruction.

mesmerised - hypnotic appeal

emboldened - made bold or bolder: instilled with boldness, courage, or resolution.

estimated - to determine roughly the size, extent, or nature of.

As per the context of the sentence empowered is the most suitable option.

Correct option**: 4)** death - this is the most appropriate option.

If we read further, we will find these lines - but as fathers do not often desire the death of their own daughters, by reading these lines we can easily determine that the 'death' is the most suitable option.

Correct option**: 5)** seldom - this is the most appropriate option.

As per the context of the above passage we need a word which means- in few instances : RARELY, INFREQUENTLY. Seldom is the only appropriate option.

Informative - this is the correct tone of the passage.

The whole passage is about mosquitoes, diseases they could carry, genes etc. and it gives you a sense that author is giving details with facts and figure so we can easily conclude that the tone of the passage is 'Informative'. The meaning of the rest of the tones are given below.

Humourous: Funny and amusing.

Sarcastic: Harsh, bitter derision; taunting.

Apologetic: Expressing remorse, regret.

Biased: Favouring one thing/person/group over another for personal reasons.

Malarial fever is caused by a virus transmitted to humans primarily by the bite of Aedes aegypti mosquitoes.- is the correct option

After going through the passage we can conclude that the above statement is false.

The correct answer is copy.

Key Points

• The meaning of the word 'Transcription' is 'an act, process, or instance of transcribing.'
• Copy, Transcript: such as
• an arrangement of a musical composition for some instrument or voice other than the original.
• a recording (as on magnetic tape) made especially for use in radio broadcasting.
• Hence, the word 'copy' is the synonym of the word 'transcription'.

Additional Information

The meaning of the other given words:

• Introduction: basic explanation of something or the action of introducing something
• Variation: difference or variety
• Induction: the process of bringing about or giving rise to something

Sporadic - this is the most appropriate option.

Sustained means maintained at length without interruption or weakening: LASTING, PROLONGED, meaning of the rest of the words are given below.

nourished: to promote the growth of.

Sporadic: occurring occasionally, singly, or in irregular or random instances.

relieved: experiencing or showing relief especially from anxiety or pent-up emotions.

Sporadic is the most appropriate option.

Identify - this is the most appropriate option.

Here we need a word which means to establish the identity of, 'identify' is the most suitable word.

Genetically modified mosquitoes - this is the most appropriate option.

After reading the passage we can easily comprehend that whole passage is about Genetically modified mosquitoes, so it will be the most apt title.

Sustained release over the course of a year led to a reduction of the local Aedes aegypti population by 90% to 95% according to different measures - this is the most suitable option.

Look at the lines given below - Sustained release over the course of a year led to a reduction of the local Aedes aegypti population by 80% to 95% according to different measures (Carvalho et al., 2015). 

By reading the lines from the passage we can easily conclude that option 2 is incorrect.

However, the tTAV carbohydrate cannot prevent the transcription of other genes when it is bound to the antibiotic tetracycline. - this is the most appropriate option.

Read the excerpt from the passage given below -

However, the tTAV protein cannot prevent the transcription of other genes when it is bound to the antibiotic tetracycline. Therefore, tetracycline acts as a repressor of the lethality gene, or, in other words, its antidote. 

Hence after reading the above excerpt we can clearly see, in the passage protein is mentioned whereas in the option it is the carbohydrate that makes the option wrong.

Malady - this is the correct synonym.

Malady - a disease or disorder of the animal body.

Fitness - the quality or state of being fit.

Robustness - having or exhibiting strength or vigorous health.

Heartiness - giving unqualified support.

Loosely - is the correct antonym.

Accurately means in an accurate manner : without mistakes or errors. Now let's look at the meaning of all the options.

correctly - to make or set right : AMEND

precisely - exactly.

loosely - in a loose manner.

exactly - precisely.

Hence, loosely is the correct antonym.

Correct option: 4) changed - the error lies in this word only.

Here we want to say that Football maintained its popularity even though the time is changing, so we must replace 'changed times' to 'changing times'

So the correct sentence will be - Football is a game which originated in the public schools of England and it has consistently maintained its popularity with the changing times.

Correct option**: 4)** ballance - this word is incorrectly spelt.

Balance is the correct word, which means physical equilibrium. Rest of the words are correct.

The correct answer is appealing.

• If we use 'appealing' which is a verb or gerund form of the noun appeal, it doesn't fit as per our sentence context.
• So in order to make the sentence grammatically correct, we must replace 'appealing' with 'appeals'.

The correct sentence will be - The old man had been to all the courts in the country, and exhausted all his appeals in the process. 

The meaning of the word 'appeal' is 'an application or request to a higher court to change a previous decision'.

The correct option is Sugesting.

Key Points

• The word 'suggesting' is incorrectly spelt as 'sugesting'.
• ​**'Suggest'** means 'to put forward for consideration'.
• 'Moderate' means 'average in amount, intensity, quality, or degree'.

Hence, the correct choice is option 3.

The correct option is option 3 as 'model' is incorrectly spelt as 'modal'.

'Model' means 'a person or thing regarded as an excellent example of a specified quality'.

'Modal' means 'relating to mode or form as opposed to substance'.

'Sought' is the past tense of 'seek', which means 'to attempt to find (something)'.

The series follows the below pattern:

6 × 0.5 = 3

⇒ 3 × 1 = 3

⇒ 3 × 1.5 = 4.5

⇒ 4.5 × 2 = 9

⇒ 9 × 2.5 = 22.5

⇒ 22.5 × 3 = 67.5

Hence the next term will be 67.5

The series follows the below pattern:

72000 ÷ 2 = 36000

⇒ 36000 ÷ 3 = 12000

⇒ 12000 ÷ 4 = 3000

⇒ 3000 ÷ 5 = 600

⇒ 600 ÷ 6 = 100

Hence the required term is 100.

The series follows the below pattern:

1 × 2 + 1 = 3

⇒ 3 × 3 + 1 =10

⇒ 10 × 4 + 1 = 41

⇒ 41 × 5 + 1 = 206

⇒ 206 × 6 + 1 = 1237

⇒ 1237 × 7 + 1 = 8660

Hence the required number is 1237.

The series follows the below pattern:

107 - 2 = 105

⇒ 105 - 3 = 102

⇒ 102 - 5 = 97

⇒ 97 - 7 = 90

⇒ 90 - 11 = 79

⇒ 79 - 13 = 66

Hence the next number will be 66.

The series follows the below pattern

Shortcut Trick

A's time = 20 days; B's time = 20 − 20% of 20 = 16 days.

Total Work (LCM of 20, 16) = 80 units.

Efficiency: A = 4, B = 5; Combined Efficiency = 9.

80% of Work = 0.8 × 80 = 64 units.

Time taken = 64 ÷ 9 = 7(1/9) days.

∴ The correct answer is 7(1/9) days.

Alternate Method

Given: Time taken by A = 20 days. B takes 20% less time than A.

Formula Used: Time = Total Work ÷ Efficiency

⇒ Time taken by B = 20 − (20/100 × 20) = 20 − 4 = 16 days.

⇒ Total Work = LCM(20, 16) = 80 units.

⇒ Efficiency of A = 80 ÷ 20 = 4 units/day.

⇒ Efficiency of B = 80 ÷ 16 = 5 units/day.

⇒ Combined efficiency of A + B = 4 + 5 = 9 units/day.

⇒ 80% of Total Work = 80 × (80/100) = 64 units.

⇒ Time required = 64 ÷ 9 = 7(1/9) days.

∴ The correct answer is 7(1/9) days.

Additional Information

Time and Efficiency Relationship

Efficiency is inversely proportional to the time taken to complete a work. If the ratio of time is x:y, the ratio of efficiency is y:x.

Work and Wages

Wages are always distributed in the ratio of the actual work done by each person or their efficiency ratio if they work for the same duration.

Shortcut Trick

Effective Rate of Interest for 2 years at 10% Compounded Annually = 10 + 10 + (10 × 10)/100 = 21%.

Total Principal (A + B) = (Total Interest ÷ Effective Rate) × 100.

⇒ Total Principal = (189 ÷ 21) × 100 = ₹900.

Since B = A + 100, then A + (A + 100) = 900 ⇒ 2A = 800 ⇒ A = ₹400.

∴ The correct answer is ₹400.

Alternate Method

Given: Rate (R) = 10%, Time (T) = 2 years, Total Interest = ₹189.

Formula Used: CI = P[(1 + R/100)^T − 1]

⇒ Let investment of A = P. Then investment of B = P + 100.

⇒ Total Investment (P_total) = P + (P + 100) = 2P + 100.

⇒ 189 = (2P + 100) × [(1 + 10/100)² − 1]

⇒ 189 = (2P + 100) × [(11/10)² − 1]

⇒ 189 = (2P + 100) × [121/100 − 1]

⇒ 189 = (2P + 100) × (21/100)

⇒ 2P + 100 = (189 × 100) ÷ 21

⇒ 2P + 100 = 900

⇒ 2P = 800 ⇒ P = ₹400.

∴ The correct answer is ₹400.

Additional Information

Effective Rate for Compound Interest

For 2 years, the effective rate is x + y + (xy/100)%. For 10%, it is 10 + 10 + 1 = 21%.

Difference between CI and SI

The difference for 2 years is given by P(R/100)². For 3 years, it is P(R/100)² × (3 + R/100).

Amount Formula

The total amount A after T years is A = P(1 + R/100)^T.

Let the ratio be x

So, the age of father and son 5 years ago were 7x and 2x

So, the age of father and son after 10 years will be (7x + 15) and (2x + 15)

Now, according to question

(7x + 15)/(2x + 15) = 2/1

⇒ 7x + 15 = 4x + 30

⇒ 3x = 15

⇒ x = 5

So, the present age of father = 7x + 5

⇒ 7 × 5 + 5 

Therefore 40 years

Shortcut Trick

Remaining salary = 100% − 10% = 90%.

Mutual Fund spend = 10% of remaining = ₹450.

Transportation spend = 50% of remaining.

Since both are calculated on the same remaining base, Transportation = 5 × Mutual Fund.

Transportation = 5 × 450 = ₹2250.

∴ The correct answer is ₹2250.

Alternate Method

Given: Household expense = 10%, Remaining = 90%.

Formula Used: Expense = Percentage × Base Value

⇒ Let total salary be S.

⇒ Remaining salary = S − 0.10S = 0.90S.

⇒ Mutual Fund investment = 10% of 0.90S = 450.

⇒ 0.10 × 0.90S = 450

⇒ 0.09S = 450

⇒ S = 450 ÷ 0.09 = ₹5000.

⇒ Remaining salary = 0.90 × 5000 = ₹4500.

⇒ Transportation expense = 50% of ₹4500 = 0.50 × 4500.

⇒ Transportation expense = ₹2250.

∴ The correct answer is ₹2250.

Additional Information

Remaining Balance Concept

When expenses are calculated on the remaining amount, the successive percentages are multiplied (e.g., 90% × 10%).

Ratio of Expenses

If two expenses are based on the same value, their amounts are directly proportional to their percentages: Expense₁ / %₁ = Expense₂ / %₂.

Successive Percentage Formula

Total remaining % = (100 − a)% × (100 − b)% where a and b are successive percentage spends.

Shortcut Trick

Speed of Train A = (280 + 360) ÷ 32 = 640 ÷ 32 = 20 m/s.

Speed ratio B : A = 3 : 2 ⇒ Speed of Train B = 20 × (3/2) = 30 m/s.

Length of Train B = Speed × Time = 30 × 30 = 900 m.

∴ The correct answer is 900 m.

Alternate Method

Given:

Length of Train A (L_A) = 280 m

Length of Platform (L_P) = 360 m

Time taken by Train A (T_A) = 32 seconds

Ratio of speeds (S_B : S_A) = 3 : 2

Time taken by Train B to cross a man (T_B) = 30 seconds

Formula Used:

Speed = (Distance) ÷ (Time)

When crossing a platform, distance = Length of train + Length of platform.

Calculations:

⇒ Speed of Train A (S_A) = (L_A + L_P) ÷ T_A

⇒ S_A = (280 + 360) ÷ 32 = 640 ÷ 32 = 20 m/s

⇒ Given S_B : S_A = 3 : 2, so S_B = S_A × (3/2)

⇒ S_B = 20 × 1.5 = 30 m/s

⇒ Length of Train B = S_B × Time taken to cross man

⇒ Length of Train B = 30 × 30 = 900 m

∴ The correct answer is 900 m.

Additional Information

Train crossing stationary object with length

When a train crosses a platform, bridge, or another stationary train, the total distance covered is the sum of the lengths of the train and the object.

Train crossing stationary point object

When a train crosses a man, pole, or signal post, the distance covered is equal to the length of the train itself.

Relative Speed

For two trains moving in the same direction, relative speed = S₁ − S₂. For opposite directions, relative speed = S₁ + S₂.

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

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

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.

(√64) × 150% - 88 ÷ 22 = ?

⇒ 8 × $\dfrac{150}{100}$ - 4 = ?

⇒ 12 - 4 = ?

⇒ 8 = ?

Concept Used :

Calculation:

(√121) + (∛216) ÷ 2 × 15 = ?

⇒ 11 + 6 ÷ 2 × 15 = ?

⇒ ? = 11 + 3 × 15

⇒ ? = 11 + 45

⇒ ? = 56

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

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

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.​​​

$\frac{{12; \times ;25; - ;11; \times ;{2^3}}}{{{{12}^2}; - ;140}} = ?$

⇒ ? = (300 - 88)/(144 - 140)

⇒ ? = 212/4

⇒ ? = 53

Concept used:

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

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

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

Calculation:

48 - 55 ÷ 5 × 11 + √289 = ?

⇒ ? = 48 - 11 × 11 + 17

⇒ ? = 48 - 121 + 17

⇒ ? = 65 - 121

⇒ ? = -56

∴ The value of ? is -56

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

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

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.

$\frac{{\left[ {22; + ;\left( {7; + ;3} \right); \div ;5} \right]; × ;{2^8}}}{{{4^3}}} = ;?$

⇒ ? = 24 × 2⁸ /2⁶

⇒ ? = 24 × 4

⇒ ? = 96

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

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

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.

$\frac{{\sqrt {484}; - ;525; \div ;35;}}{{\sqrt[3]{{64;}}; × ;7; - ;21;}} = ;?$

⇒ ? = (22 - 15)/(4 × 7 - 21)

⇒ ? = 7/7

⇒ ? = 1

Concept Used:

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

​

Calculation:

∛1728 – √49 × ∛125 + ? = √484

⇒ 12 – 7 × 5 + ? = 22

⇒ 12 – 35 + ? = 22

⇒ ? = 22 + 23

⇒ ? = 45

∴ The value of ? is 45

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

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

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.

$\frac{{\left[ {\left( {99; × ;11} \right); \div ;3} \right]; × ;{4^{1/2}}; × ;\sqrt[3]{{729}}}}{{27}} = ;?$

⇒ ? = (363 × 2 × 9)/27

⇒ ? = 242

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

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

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.

(77 × 11 ÷ 7 + 2) ÷ ∛27 = ?

⇒ ? = (121 + 2) ÷ 3

⇒ ? = 123/3

⇒ ? = 41

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

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

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.

20% of 1800 + 60% of 900 = ?

⇒ 360 + 540 = ?

⇒ ? = 900

I. x² - 5x + 6 = 0

⇒ x2 - 3x - 2x + 6 = 0

⇒ x (x - 3) - 2 (x - 3) = 0

⇒ (x - 3) (x - 2) = 0

so, x = 3 and x = 2

from II

y = 8^1/3

⇒ y = 2

∴ x ≥ y

I. x2 – 6x + 8 = 0

⇒ x² - 4x - 2x + 8 = 0

⇒ x (x - 4) - 2 (x - 4) = 0

⇒ (x - 4) (x - 2) = 0

So, x = 4 or x = 2

From, II. y2 – 8y + 15 = 0

⇒ y² - 5y - 3y + 15 = 0

⇒ y (y - 5) - 3 (y - 5) = 0

⇒ (y - 5) (y - 3) = 0

So, y = 5 or y = 3

So, from the above information

x = y or relationship between x and y cannot be established

I. x2 – 5x – 24 = 0

⇒ x² - 8x + 3x - 24 = 0

⇒ x (x - 8) + 3 (x - 8) = 0

⇒ (x - 8) (x + 3) = 0

So, x = 8 or x = -3

II. y2 – 3y – 40 = 0

⇒ y² - 8y + 5y - 40 = 0

⇒ y (y - 8) + 5 (y - 8) = 0

⇒ (y - 8) (y + 5) = 0

So, y = 8 or y = -5

So, from the above information

x = y or relationship between x and y cannot be established

I. x2 + 9x + 14 = 0

⇒ x² + 7x + 2x + 14 = 0

⇒ x (x + 7) + 2 (x + 7) = 0

⇒ (x + 7) (x + 2) = 0

So, x = -7 or x = -2

II. 2y2 + 7y + 6 = 0

⇒ 2y² + 4y + 3y + 6 = 0

⇒ 2y (y + 2) + 3 (y + 2) = 0

⇒ (2y + 3) (y + 2) = 0

So, y = -3/2 or y = -2

So, from the above information

∴ x ≤ y

I. x2 – 9x + 20 = 0

⇒ x² - 5x - 4x + 20 = 0

⇒ x (x - 5) - 4 (x - 5) = 0

⇒ (x - 5) (x - 4) = 0

So, x = 5 or x = 4

II. y2 – 3y – 4 = 0

⇒ y² - 4y + y - 4 = 0

⇒ y (y - 4) + 1 (y - 4) = 0

⇒ (y - 4) (y + 1) = 0

So, y = 4 or y = -1

So, from the above information

∴ x ≥ y

According to question,

A + B + C = 3 × 25

⇒ A + B + C = 75    ---- (i)

and also,

A + B = 2 × 24

⇒ A + B = 48    ----- (ii)

from (i) and (ii), we get

So, the age of C = 75 - 48 

Therefore the age of C = 27 years

Shortcut Trick

Net Deviation Method:

Deviation of first 6 numbers = 6 × (25.5 − 33) = 6 × (−7.5) = −45

Deviation of last 6 numbers = 6 × (40.5 − 33) = 6 × 7.5 = +45

Sixth number = Average + Total Deviation = 33 + (−45 + 45) = 33

∴ The correct answer is 33.

Alternate Method

Given: Average of 11 numbers = 33, Avg of first 6 = 25.5, Avg of last 6 = 40.5

Formula Used: Sum = Average × Number of terms

⇒ Sum of all 11 numbers = 11 × 33 = 363

⇒ Sum of first 6 numbers = 6 × 25.5 = 153

⇒ Sum of last 6 numbers = 6 × 40.5 = 243

⇒ Sum of (first 6 + last 6) = 153 + 243 = 396

⇒ Sixth number = (Sum of 12 numbers) − (Sum of 11 numbers)

⇒ Sixth number = 396 − 363 = 33

∴ The correct answer is 33.

Additional Information

Overlap Case in Averages

When the sum of the number of elements in subgroups exceeds the total (e.g., 6+6=12 for 11 elements), the middle element is added twice. It can be found by (Subgroup Sums − Total Sum).

Net Deviation Property

The sum of deviations of all observations from their arithmetic mean is always zero. In overlapping cases, the overlap value = Average + Sum of deviations.

Shortcut Trick

Initial Ratio (Milk : Water) = 5 : 4 (Total = 9 units)

New Ratio (Milk : Water) = 5 : 7 (Total = 12 units)

Milk remains constant; Water increase = 7 − 4 = 3 units.

3 units = 45 litres ⇒ 1 unit = 15 litres.

Total mixture (after replacement) = 12 units × 15 = 180 litres.

Initial Milk = (5/9) × 180 = 100 litres.

∴ The correct answer is 100 litres.

Alternate Method

Given: Initial Ratio = 5 : 4, Replacement = 45 litres, Final Ratio = 5 : 7.

Formula: Ratio of milk remains same if only water is added to the remaining mixture.

⇒ Let the remaining mixture after taking out 45 litres be 5x and 4x.

⇒ After adding 45 litres of water: Milk / (Water + 45) = 5 / 7

⇒ 5x / (4x + 45) = 5 / 7

⇒ 7x = 4x + 45

⇒ 3x = 45 ⇒ x = 15

⇒ Total remaining mixture = 9x = 9 × 15 = 135 litres.

⇒ Original Mixture total = 135 + 45 = 180 litres.

⇒ Original amount of Milk = (5/9) × 180 = 100 litres.

∴ The correct answer is 100 litres.

Additional Information

Mixture Withdrawal Rule

When a portion of a mixture is removed, the ratio of components in the remaining mixture and the portion removed stays the same as the original ratio.

Constant Component Method

If only one component (like water) is added, the quantity of the other component (like milk) in the mixture remains constant. Equating the ratios based on the constant part simplifies calculations.

Shortcut Trick

Total CP = 400 × 2 = 800. Let CP of A be x and B be (800 − x).

Total SP = 1.1x + 1.2(800 − x) = 928.

1.1x + 960 − 1.2x = 928 ⇒ 0.1x = 32 ⇒ x = 320.

CP of B = 800 − 320 = 480.

∴ The correct answer is Rs. 480.

Alternate Method

Given: Average CP = Rs. 400, Profit A = 10%, Profit B = 20%, Total SP = Rs. 928.

Formulas: Total CP = Average CP × 2 | SP = CP × (100 + P%)/100

⇒ Total Cost Price (CP) of A and B = 400 × 2 = Rs. 800.

⇒ Total Profit earned = Total SP − Total CP = 928 − 800 = Rs. 128.

⇒ Let CP of shirt B be y. Then CP of shirt A = (800 − y).

⇒ Profit from A + Profit from B = Total Profit.

⇒ (800 − y) × 10/100 + y × 20/100 = 128.

⇒ 80 − 0.1y + 0.2y = 128 ⇒ 0.1y = 48 ⇒ y = 480.

∴ The correct answer is Rs. 480.

Additional Information

Alligation Method

Overall Profit % = (128/800) × 100 = 16%. Alligating 10% and 20% with mean 16% gives CP ratio of (20−16):(16−10) = 4:6 = 2:3.

Cost Price Calculation

CP of B = Total CP × (Ratio share) = 800 × (3/5) = 480.

Shortcut Trick

Convert 4 hr 48 min to hours → 4 + 48/60 = 4.8 hours.

Downstream Speed = 7800 / 4.8 = 1625 km/hr.

Ratio of Speed of Stream (y) to Boat Speed (x) is 2 : 3.

Downstream (x + y) = 3 + 2 = 5 units; Upstream (x − y) = 3 − 2 = 1 unit.

If 5 units = 1625, then 1 unit = 325 km/hr.

∴ The correct answer is 325 km/hr.

Alternate Method

Given:

Distance = 7800 km, Time = 4 hours 48 minutes = 4.8 hours.

Ratio of Speed of stream (s) and boat (b) = 2 : 3.

⇒ Let Speed of Boat (u) = 3k and Speed of Stream (v) = 2k.

⇒ Downstream Speed = Distance ÷ Time = 7800 ÷ 4.8

⇒ Downstream Speed = 1625 km/hr.

⇒ u + v = 3k + 2k = 5k = 1625

⇒ k = 1625 ÷ 5 = 325

⇒ Upstream Speed = u − v = 3k − 2k = 1k

⇒ Upstream Speed = 1 × 325 = 325 km/hr.

∴ The correct answer is 325 km/hr.

Additional Information

Downstream & Upstream Formulas

Downstream speed (D) = u + v and Upstream speed (U) = u − v, where u is boat speed in still water and v is stream speed.

Still Water Speed Calculation

Speed of boat in still water (u) = (D + U) ÷ 2.

Stream Speed Calculation

Speed of stream (v) = (D − U) ÷ 2.

Total number of persons living in society B = 350 + 500 = 850

Total number of persons living in society D = 300 + 150 = 450

Total number of persons living in society B and D together = 850 + 450 = 1300

Number of males in society C = 250

Number of females in society E = 200

∴ Required Ratio = 250 : 200 = 5 ∶ 4

Number of males living in society D = 300

Number of females living in society B = 500

∴ Required Percentage = (300/500) × 100 = 60%

Number of males living in society A = 200

Number of females living in society A = 250

Total number of person living in society A = 200 + 250 = 450

Number of males living in society C = 250

Number of females living in society C = 300

Total number of person living in society C = 250 + 300 = 550

∴ Required difference = 550 - 450 = 100

Number of females living in society D = 150

Number of males living in society A = 200

∴ Required Percentage = [(200 – 150)/200] × 100 = 25%

In certain coding language,

The code for “Near” is “BA”..

Thus, the correct answer is ‘BA’.

In certain coding language,

The code for “Hear” is “SA”.

Thus, the correct answer is ‘SA’.

In certain coding language,

The code of “HG” for "House”.

Thus, HG means 'House' in the given coding language.

In certain coding language,

Only EH code is remaining in that row,

Therefore, the code for “Famous” is “EH”.

Thus, 'famous' can be coded as 'EH'.

Teena who is second to the right of Amar.

Girish is sitting third to the left of Teena.

Geeta who is second to the right of Teena.

Harish is sitting exactly between Chetan and Geeta.

Bala and Harish are not immediate neighbors of Amar.

So, the remaining place of Deenu.

Therefore, Girish is sitting fifth to the right of Teena.

Thus, the correct answer is “Girish”.

Teena who is second to the right of Amar.

Girish is sitting third to the left of Teena.

Geeta who is second to the right of Teena.

Harish is sitting exactly between Chetan and Geeta.

Bala and Harish are not immediate neighbors of Amar.

So, the remaining place of Deenu.

Thus, the correct answer is “Bala”.

Teena who is second to the right of Amar.

Girish is sitting third to the left of Teena.

Geeta who is second to the right of Teena.

Harish is sitting exactly between Chetan and Geeta.

Bala and Harish are not immediate neighbors of Amar.

So, the remaining place of Deenu.

Thus, the correct answer is “Harish”.

Teena who is second to the right of Amar.

Girish is sitting third to the left of Teena.

Geeta who is second to the right of Teena.

Harish is sitting exactly between Chetan and Geeta.

Bala and Harish are not immediate neighbors of Amar.

So, the remaining place of Deenu.

Thus, the correct answer is “Amar, Teena”.

Teena who is second to the right of Amar.

Girish is sitting third to the left of Teena.

Geeta who is second to the right of Teena.

Harish is sitting exactly between Chetan and Geeta.

Bala and Harish are not immediate neighbors of Amar.

So, the remaining place of Deenu.

Thus, the correct answer is “Amar”.

Given statement: K > O > P > M < G = D

I. K > M → True (as K > O > P > M)

II. O = M → False (as O > P > M)

Thus, Only conclusion I follow.

Given statement: H < A < T = G > U ≥ V ≥ B

I. T > B → True (as T = G > U ≥ V ≥ B)

II. G > H → True (as H < A < T = G)

Thus, Both conclusion I and II follow.

Given statement: R = Y = P > S ≥ H < F ≤ C = M

I. R > M → False (as R = Y = P > S ≥ H < F ≤ C = M)

II. H = M → False (as H < F ≤ C = M)

Thus, None follows is the correct answer.

Given statement: B = K ≥ H = T > U ≤ I

I. H > I → False (as H = T > U ≤ I)

II. H ≤ I → False (as H = T > U ≤ I)

Conclusion I and II is false and it makes complementary form for either or,

Thus, Either conclusion I or II follow.

Additional Information

Signs between H and I are the opposite, but all three signs are present between H and I, leading to false conclusion so Either or conclusion will be true.

Given statement: A > G < T < U ≤ W = P > Y

I. A < P → False (as A > G < T < U ≤ W = P > Y as, the signs are opposite so, definite relation between the A and P cannot be determined)

II. T < Y → False (as T < U ≤ W = P > Y as, the signs are opposite so, definite relation between the T and Y cannot be determined)

Thus, neither conclusion I nor II follows

The alphabets are positioned in the following order:

The word can be presented as follows,

Forward: IN, ST, AC; Backward: CI.

Hence, we can see that four such pairs are there.

The Eight bank employees Q, R, U, P, D, H, L, and C.

Different positions - Managing Director (MD), Executive Director (ED), Chief General Manager (CGM), General Manager(GM), Assistant General Manager (AGM), Divisional Manager (DM), Marketing Officer (MO) and Clerk

1. Q is senior to only three persons.

2. D is junior to Q.

3. D is not the most junior.

4. C is an Executive Director.

5. P is senior to Divisional Manager but junior to Managing Director.

6. U is just one position senior to R.

7. L is neither Chief General Manager nor Managing Director. (Hence, case IB, case IIA & case IIB are eliminated).

8. H is not junior to P.

9. The position of Q is Assistant General Manager.

Hence, Q is the Assistant General Manager.

The eight bank employees Q, R, U, P, D, H, L, and C.

Different positions - Managing Director(MD), Executive Director(ED), Chief General Manager(CGM), General Manager(GM), Assistant General Manager(AGM), Divisional Manager(DM), Marketing Officer(MO) and Clerk

Q is senior to only three persons.

D is junior to Q.

D is not the most junior.

C is an Executive Director.

P is senior to Divisional Manager but junior to Managing Director.

U is just one position senior to R.

L is neither Chief General Manager nor Managing Director. (Hence, case IB, case IIA & case IIB are eliminated).

H is not junior to P.

The position of Q is Assistant General Manager.

1) Managing Director - P → P is Chief General Manager(CGM) not Managing Director

2) Assistant General Manager - Q → Q is Assistant General Manager (AGM)

3) Divisional Manager - D → D is Divisional Manager (DM)

4) Clerk - R → R is Clerk

5) Executive Director - C → C is Executive Director (ED)

Hence, the correct answer is Managing Director – P.

The eight bank employees Q, R, U, P, D, H, L, and C.

Different positions - Managing Director(MD), Executive Director(ED), Chief General Manager(CGM), General Manager(GM), Assistant General Manager(AGM), Divisional Manager(DM), Marketing Officer(MO) and Clerk

Q is senior to only three persons.

D is junior to Q.

D is not the most junior.

C is an Executive Director.

P is senior to Divisional Manager but junior to Managing Director.

U is just one position senior to R.

L is neither Chief General Manager nor Managing Director. (Hence, case IB, case IIA & case IIB are eliminated).

H is not junior to P.

The position of Q is Assistant General Manager.

H is the most senior among them.

Hence, the correct answer is H**.**

The eight bank employees Q, R, U, P, D, H, L, and C.

Different positions - Managing Director(MD), Executive Director(ED), Chief General Manager(CGM), General Manager(GM), Assistant General Manager(AGM), Divisional Manager(DM), Marketing Officer(MO) and Clerk

Q is senior to only three persons.

D is junior to Q.

D is not the most junior.

C is an Executive Director.

P is senior to Divisional Manager but junior to Managing Director.