• The correct answer is Option 2 'found'.
• The sentence is talking about a ritual that was started a long ago and is saying that this practice was seen in every Vedic ritual. So the suitable word to be used is 'found'.
• The other words do not fit in the meaning of the context because the word 'brought' mean 'to transport, supply or contribute'.
• 'Read' means 'to speak aloud words or other information that is written' which is not at all related to the passage.
• The word 'said' will not fit in the blank because the practice was not said in the Vedic ritual, it was being practiced or found.

• The correct answer is Option 2 'the' because we use the definite article 'the' when talking about a specific reference. In the passage we are talking about particular 'sacred practices'.
• Option 1 is wrong because the article 'a' is used only before consonant sounding words.
• Option 3 is wrong because we don't use the numeral 'one' before a plural entity.
• Option 4 is wrong because we use the article 'an' only before vowel sounding words.

• The correct answer is Option 2 'which'.
• In this sentence the word 'which' fits the blank correctly as it refers to 'the banana plant' because we use 'which' to refer to animals, plants and things.
• Option 1 is wrong because the conjunction 'where' is used to ask about a place.
• Option 3 is wrong because the pronoun 'whom' is used to ask 'what person or which person'.
• Option 4 is wrong because the pronoun 'who' is used to ask  'what person or which person or about a person who is under discussion.

• The correct answer is Option 4 'seeds'.
• The word 'seeds' fits in the blank because there are certain fruits that contain seeds inside them and certain fruits do not contain any seeds.
• It is the seed that bears fruit without pollination. No fruits contain roots, branches or leaves.
• Therefore, the correct answer is 'seeds'.

• The correct answer is Option 1 'symbolises'. The sentence is talking about a quality of plant that it is fertile. The suitable word to be used is 'symbolises' which means 'to represent'.
• All other options do not give proper meaning in the given sentence.
• Therefore, the word 'symbolises' is the correct answer.

The correct answer is Option 2 'exception' which means 'An act of excepting or excluding'.

The correct answer is Option 3

​

Explanation:

'belief' which means 'faith and trust in the reality of something'.

• Ideology: Body of beliefs or principles, body of ideas.
• Mark: indication for reference or measurement; blemish.
• Contract: An agreement between two or more parties.
• Recognition: An awareness that something observed has been observed before.

Therefore, out of given options, 'belief' is the most appropriate word to the given word.

• The correct answer is Option 2 'taxidermy' which means 'the art of stuffing and mounting the skin of dead animals' which satisfies the meaning of the given context.
• The meaning of other words:
• Dermatology: The study of skin and its diseases.
• Taxonomy: The science or the technique used to make a classification.
• Etymology: The study of the historical development of languages.

• The correct answer is Option 2.
• The sentence begins from C because this sentence is introducing a subject 'Dorababu'.
• Option 3 & 4 get eliminated.
• Sentence D is followed by sentence A because sentence D is expressing the greetings and then sentence A says that his affectionate greeting was surprising.
• Therefore, this sequence is followed in option 2 i.e. CDAB.

• The correct answer is Option 4.
• The sentence is talking about government officials that they are authorized to get reimbursement (the act of compensating). So the blank should contain a word that gives similar meaning of having some authority to claim.
• The meaning of the given words:
• Incited: To stir up or excite; to rouse.
• Indicted: To accuse of wrongdoing; charge.
• Invited: To ask for the presence or participation.
• Entitled: Having a right to something, authorized, empowered.
• Therefore, 'entitled' is a word that fits perfectly in the given blank.

The correct answer is option 3.

Explanation:​

The meaning of the given words:

• Barber: A person whose profession is cutting customers hair and beards.
• Grocer: A person who retails household supplies.
• Confectioner: A person who makes and sells sweets.
• Cobbler: A person who makes and repairs shoes.

Therefore, out of given options the word 'confectioner' gives the same meaning as the given context.

• The correct answer is Option 1.
• The given sentence is in past tense but the phrase 'we see' is in present tense. This should be changed to past tense.
• Therefore the correct sentence is 'When we went to Ramgarh we saw the snow-capped mountains in the distance.'

• The correct answer is Option 3.
• The word 'hour' when pronounced gives the vowel sound. Therefore, we use the indefinite article 'an' before vowel sounding words.
• Therefore, the correct option to substitute the underlined segment  is 'for an hour'.

The correct answer is 1 i.e. explicit.

Explanation:

TACIT- understood or implied without being stated.

• explicit- stated clearly and in detail, leaving no room for confusion or doubt.
• mute- refraining from speech or temporarily speechless.
• silent- not making or accompanied by any sound.
• inaudible- unable to be heard.

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

The correct answer is option 4 i.e. cynical.

morose- sullen and ill-tempered.

optimistic- hopeful and confident about the future.

rational- based on or in accordance with reason or logic.

cynical- believing that people are motivated purely by self-interest; distrustful of human sincerity or integrity.

The chosen is negative in meaning and contextually related to the sentence so, this will be appropriate to choose this as the answer.

The correct answer is option 3.

Explanation

The sentence is given in direct speech to convert it into indirect speech following changes should be done:

• An interrogative statement is converted into an assertive statement, so the auxiliary verb will come after the subject.
• Present Indefinite tense changes to past indefinite tense in indirect speech.
• Pronoun 'your' is changed into 'my'
• All inverted commas or quotation marks are omitted and the sentence ends with a full stop.

Thus, the sentence becomes: Uma asked me how my brother was.

The correct answer is option 4 i.e. DABC

The sentence can not start with C as it is starting with AND.

Part B starts with pronoun so this is also not possible to be the starter.

Now it is clear that sentence must start with A or D.

as BOTH A and D contains the word trade, both should come together.

As option 3 and 4 starts with D but only Option 4 has the DA together so, it should be the answer.

The correct answer is option 4.

Help is followed by bare infinitive( infinitive without to ).

So, we need to remove TO used before LOOK AFTER for making the sentence correct.

The correct sentence will be-

The young girl was helping her father look after his shop.

The correct answer is option 3 i.e. interfere.

Explanation:

Meddle- interfere in something that is not one's concern.

• elaborate- involving many carefully arranged parts or details; detailed and complicated in design and planning.
• manage- be in charge of (a business, organization, or undertaking); run.
• interfere- intervene in a situation without invitation or necessity.
• repair- restore (something damaged, faulty, or worn) to a good condition.

The chosen option expresses the meaning of the given word.

The correct answer is option 3)

• we need to follow these instructions while changing the voice of an assertive sentence-
• Find the subject and object of the sentence and exchange their places; make changes in their cases as well if subject and object are pronouns.
• Sometimes we don't write the agency involved, in passive form.
• Generally, "Sub + is/am/are/was/were/will be/shall be + verb-ing form + other words" syntax is used for continuous tenses, but "Sub + is/am/are/was/were + going + Infinitive (to + verb¹) + other words" syntax is used to refer a time in near future e.g. I am going to take my lunch. (I will take my lunch in some time)
• So we will follow the rule of infinitive verbs to change the given sentence into it's passive form.
• Change "To + verb¹" into "to + be + verb³" (to be opened).
• At last line up all the remaining parts.

Following these steps, we finally get - *"*The shops are going to be opened at eleven o'clock."

The correct answer is option 1 recede.

Explanation:

PROCEED- begin a course of action.

• recede- go or move back or further away from a previous position.
• ahead- further forward in space; in the line of one's forward motion.
• continue- further forward in space; in the line of one's forward motion.
• forward-in the direction that one is facing or travelling; towards the front.

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

The correct answer is option 2 i.e. in partnership for something dishonest.

The meaning of the given idiom is- in close collusion or association.

The chosen option is as same as the meaning of the given idiom.

The correct answer is option 1 i.e. someone who unexpectedly succeeds.

The meaning of the given idiom is -a candidate or competitor about whom little is known but who unexpectedly wins or succeeds.

The meaning of the phrase is as same as the chosen option.

The correct answer is option 2 i.e. it's always advisable to put.

The word advisable is followed by TO and only option 2 has this construction so this will be the answer to the question.

The correct answer is option 4.

preferential- of or involving preference or partiality; constituting a favour or privilege.

presidential- relating to a president or presidency.

proverbial- (of a word or phrase) referred to in a proverb or idiom.

The correct word will be- 

Professional- relating to or belonging to a profession.

The pattern followed here is,

Similarly,

Hence, the correct answer is PSBRPUH.

Except Frog, all are animal sounds. whereas 'Frog' is an animal.

Hence, ‘Frog’ is an odd one out.

$is a common term in first two dices so, now if we rotate the dice from$ anticlockwise or clockwise directions.

From the above diagram, it is evident that “+ is opposite to #”.

Hence, the correct answer is '#'.

Expression: 15 + 8 - 20 × 10 ÷ 5

After interchanging the signs:

1) + and ÷

15 ÷ 8 - 20 × 10 + 5

= 1.875 - 20 × 10 + 5

= 1.875 - 200 + 5

= 6.875 - 200

= -193.125 ≠ 13

2) + and -

15 - 8 + 20 × 10 ÷ 5

= 15 - 8 + 20 × 2

= 15 - 8 + 40

= 55 - 8

= 47 ≠ 13

3) × and -

15 + 8 × 20 - 10 ÷ 5

= 15 + 8 × 20 - 2

= 15 + 160 - 2

= 175 - 2

= 173 ≠ 314

4) × and ÷

15 + 8 - 20 ÷ 10 × 5

= 15 + 8 - 2 × 5

= 15 + 8 - 10

= 23 - 10

= 13 = 13

Hence, the correct answer is (× and ÷).

The following logic is applied:

Given set (5, 8, 89) 

(First term)² + (Second term)² =  Third term

(5)² + (8)²

= 25 + 64 = 89

In a similar way, 

1. (7, 10, 149)

(7)² + (10)²

= 49 + 100 = 149

2. (2, 5, 19)

(2)² + (5)²

= 4 + 25 = 29 ≠ 19

3. (6, 9, 60)

(6)² + (9)²

= 36 + 81 = 117 ≠ 60

4. (3, 4, 7)

(3)² + (4)²

= 9 + 16 = 25 ≠ 7

Hence, the correct answer is (7, 10, 149).

The mirror image will be:

Hence, the correct answer is figure 4.

The figure in which the given figure is embedded is,

Hence, the correct answer is figure 2.

The least possible Venn diagram is given below:

Conclusions:

I. Some bears are cocks → True, as all cocks are bear, some bears will definitely be the cocks.

II. Some horses are cocks → True, as all cocks are bears and all bears are horses, some horses will definitely be the cocks.

III. All cocks are horses → True, as all cocks are bears and all bears are horses

Hence, all the conclusions will follow.

The pattern followed here is,

(First term)2 + First term = Second term

Given set: (7 : 56)

= (7)² + 7 = 56

In a similar way, 

1. 6 : 36

= (6)² + 6

= 36 + 6 = 42 ≠ 36

2. 13 : 173

= (13)² + 13

= 169 + 13 = 182 ≠ 173

3. 9 : 90

= (9)² + 9

= 81 + 9 = 90

4. 11 : 121

= (11)² + 11

= 121 + 11 = 132 ≠ 121

Hence, the correct answer is (9 : 90).

The pattern followed here is,

Given set (16, 64, 8)

= (First term) × (Third term) ÷ 2 = Middle term

= (16) × (8) ÷ 2

= 128 ÷ 2

= 64

In a similar way, 

1. (10, 80, 8)

= (10) × (8) ÷ 2

= 80 ÷ 2

= 40 ≠ 80

2. (15, 60, 8)

= (15) × (8) ÷ 2

= 120 ÷ 2

= 60

3. (14, 62, 4)

= (14) × (4) ÷ 2

= 56 ÷ 2

= 28 ≠ 62

4. (18, 90, 6)

= (18) × (6) ÷ 2

= 108 ÷ 2

= 54 ≠ 90

Hence, the correct answer is (15, 60, 8).

The pattern followed here is,

Hence, STHI is the correct answer.

Sunflower is yellow in color. In similar way, Blood is red in color.

Hence, the correct answer is Red.

Triangles in the given figure are AEI, AIF, AEF, CGJ, CJH, CGH, CBD, ABD.

Hence, the correct answer is 8.

When the paper is unfolded it will appear like,

Hence, the correct answer is option 2.

From the given information:

The family tree is as follows:

Hence, the correct answer is ‘Father’.

Except 57 all are prime numbers.

Hence, 57 is the odd one out.

Let the age of a father = 2x

As per the given information,

The age of his son = x

Five years ago,

Age of father = 2x - 5

Age of his son = x - 5

The father's age was thrice the age of the son.

2x - 5 = 3(x - 5)

→ 2x - 5 = 3x - 15

→ x = 10

Hence, the age of his son is 10 years.

The pattern followed here is,

6 + 1²  = 7; 7 + 2² = 11;

11 + 3² = 20; 20 + 4² = 36

Hence, the correct answer is 36.

The pattern followed here is,

For BEH : FJN

Similarly, 

For ILO :

Hence, the correct answer is MQU.

Heart is a part of Body. There is no relation between House and Body.

Hence, the correct answer is option 1.

The image is rotating by 45ﹾ in the anticlockwise direction.

Also, the lines are decreasing one by one in each step.

Hence, the next term will be,

Hence, the correct answer is figure 1.

The logical order is as follows:

5. Egg

6. Larva

7. Pupa

8. Butterfly

9. Death

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

Here the positional value of Consonants is considered and the vowels are coded as:

A – 1, E – 2, I – 3, O – 4, U – 5.

Similarly,

Hence, the correct answer is 64420211212.

As tortoise is a reptile,

Similarly,

Snail is a Mollusk.

Hence, the correct answer is Snail : Mollusk.

The pattern followed here is,

Hence, the correct answer is JY.

Given:

The ratio between the speeds of two trains is 2 : 5

Calculation:

Let the speed of two trains be 2x and 5x

Speed of first train = 250/5 = 50 km/h

⇒ 2x = 50

⇒ x = 25 km/h

The sum of the speeds of both train = 2x + 5x = 7x = 7 × 25 = 175 km/h

∴ The correct answer is 175 km/h.

Given:

x – 1/x = 7

Formula used:

(a - b)³ = a³ - b³ - 3ab (a - b)

Calculation:

x – 1/x = 7

Cubing both sides

⇒ (x – 1/x)³ = (7)³

${x^3} - \frac{1}{{{x^3}}}$ - 3 $\left( {x - \frac{1}{x}} \right)$ = 343 

${x^3} - \frac{1}{{{x^3}}}$ - 3 × 7 = 343

${x^3} - \frac{1}{{{x^3}}}$ = 343 + 21 

${x^3} - \frac{1}{{{x^3}}}$ = 364

∴ The correct answer is 364.

Shortcut TrickConcept used:

If x – 1/x = P

⇒ ${x^3} - \frac{1}{{{x^3}}}$ = P³ + 3P

Calculation:

x – 1/x = 7

${x^3} - \frac{1}{{{x^3}}}$ = (7)³ + 3 × 7

${x^3} - \frac{1}{{{x^3}}}$ = 343 + 21 = 364

∴ The correct answer is 364.

Concept used:

If a number is divisible by 72 then the number must be divisible by 8 × 9

When a number is divisible by 8 then its last 3 digit must be divisible by 8

When a number is divisible by 9 then the sum of its digit is also divisible by 9

Calculation:

When a number is divisible by 8 then its last 3 digit must be divisible by 8

9y6 is divisible by 8 when y = 3

When a number is divisible by 9 then the sum of its digit is also divisible by 9

⇒ 6 + 4 + x + 2 + 9 + 3 + 6 = 30 + x

Value of x = 6, because 30 + 6 = 36 is divisible by 9

∴ 2x – y = 2 × 6 – 3 = 12 – 3 = 9

∴ The correct answer is 9.

Given:

The average age of fifteen persons is 32 years.

Calculation:

Total age of 15 persons = 32 × 15 = 480

After adding 2 new persons the new average = 32 + 3 = 35

Total age of 17 persons = 35 × 17 = 595

Total age of 2 new persons = 595 – 480 = 115

The new persons have an difference of 11 years

Let the age of younger one is x and the age of older one is x + 11

Now,

⇒ x + x + 11 = 115

⇒ 2x = 115 – 11 = 104

⇒ x = 52

∴ The age of younger person is 52 yrs.

Calculation:

Total sales by branches B1, B3 and B5 for both the years = 80 + 105 + 95 + 110 + 75 + 95 = 560

Total sales by branches B2, B4 and B6 for both the years = 75 + 65 + 85 + 95 + 70 + 80 = 470

Required ratio = 560 : 470 = 56 : 47

∴ The correct answer is 56 : 47.

Shortcut Trick

The expression (a − b)² + 3ab simplifies to a² − 2ab + b² + 3ab = a² + ab + b².

Using the algebraic identity: a³ − b³ = (a − b)(a² + ab + b²).

Substitute the given values: 899 = 29 × (a² + ab + b²).

Required value = 899 ÷ 29 = 31.

∴ The correct answer is 31.

Alternate Method

Given:

a³ − b³ = 899

a − b = 29

Formula Used:

a³ − b³ = (a − b)(a² + ab + b²)

Calculations:

⇒ First, expand the required expression: (a − b)² + 3ab

⇒ (a² − 2ab + b²) + 3ab

⇒ a² + ab + b²

⇒ From the cubic identity, we know that (a² + ab + b²) = (a³ − b³) ÷ (a − b)

⇒ Required Value = 899 ÷ 29

⇒ Required Value = 31

∴ The correct answer is 31.

Additional Information

Sum of Cubes Identity

The formula for the sum of two cubes is a³ + b³ = (a + b)(a² − ab + b²).

Related Expansion

(a + b)² − 3ab also simplifies to (a² − ab + b²), which is the quotient of (a³ + b³) and (a + b).

Square of Binomials

(a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b² are fundamental for solving quadratic and cubic variations.

Concept used:

For successive increase or decrease = x + y + xy/100

Calculation:

Percentage change in area of rectangle = - 11 + 11 + (-11)(11)/100 = - 1.21%

∴ The correct option is 4.

Given:

ABCD is a cyclic quadrilateral.

AB is a diameter of the circle

Calculation:

∠ADC + ∠ABC = 180° [cyclic quadrilateral the sum of opposite angle is 180°]

⇒ 146° + ∠ABC = 180°

⇒ ∠ABC = 180° − 146° = 34°

In ∆ABC

∴ ∠ACB = 90°    [angle made by diameter = 90°]

∴ ∠BAC = 180° − (90° + 34°)

⇒ 180° − 124° = 56° 

∴ The correct answer is 56°.

Calculation:

Total sales by all branches for both the years = 80 + 105 + 75 + 65 + 95 + 110 + 85 + 95 + 75 + 95 + 70 + 80 = 1030

The average of total sales = 1030/6 = 171.67

∴ The correct answer is 171.67.

Calculation:

Total sales by all branches for both the years:

⇒ 80 + 105 + 75 + 65 + 95 + 110 + 85 + 95 + 75 + 95 + 70 + 80 = 1030

∴ The correct answer is 1030.

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

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, 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 the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

$\frac{{46 + \frac{3}{4};of;32 - 6}}{{11 + \frac{3}{4};of;\left( {34 - 6} \right)}} = \frac{{46 + \frac{3}{4} \times 32 - 6}}{{11 + \frac{3}{4};of;28}} = \frac{{46 + 24 - 6}}{{11 + \frac{3}{4} \times 28}} = \frac{{70 - 6}}{{11 + 21}} = \frac{{64}}{{32}} = 2$

Given:

sec θ = 8x; tan θ = 8/x

Formula used:

sec2θ - tan2 θ = 1

Calculation:

⇒ (8x)2 – (8/x)2 =  sec2θ − tan2 θ

⇒ 64x² – 64/x² =  sec2θ − tan2 θ

⇒ 64 (x² – 1/x²) = 1

⇒ 64 (x² – 1/x²) = 1

Dividing both sides by 4

⇒ 16 (x² – 1/x²) = 1/4

∴ The correct answer is 1/4.

Given:

A earns Rs. 100 per hour and works for 8 hours per day.

B earns Rs. 120 per hour and works for 6 hours per day.

Calculation:

B earns per day = 120 × 6

A earns per day = 100 × 8

Required ratio = 120 × 6 : 100 × 8 = 9 : 10

∴ The correct answer is 9 : 10.

Given:

cos x = −√3/2

Calculation:

cos x = −√3/2

∴ x = 210°

Now

4 cot² x – 3 cosec² x

⇒ 4 cot² 210° − 3 cosec² 210°

⇒ 4 × 3 – 3 × 4

⇒ 12 – 12 = 0

∴ The correct answer is 0.

Given:

7(cosec255 - tan235)+ 2 × sin 90 - 4 × tan252 (y × tan238) = y/2

Calculation:

⇒ 7(cosec255 - tan235)+ 2 × sin 90 - 4 × tan252 (y × tan238) = y/2

⇒ 7(cosec255 - cot255)+ 2 × sin 90 - 4 × tan252 (y × tan238) = y/2

⇒ 7 × 1 + 2 × 1 - 4 tan2 52 × y/tan2 52 = y/2

⇒ 9 – 4y = y/2

⇒ 9 = (y/2) + 4y

⇒ 9 = 9y/2

⇒ y = 2

∴ The correct answer is 6.

Given:

x4 + x-4 = 1154

Formula used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

x4 + 1/x4 = 1154       ----(1)

⇒ (x2 + 1/x2)2 – 2 = 1154

⇒ (x2 + 1/x2)2 = 1154 + 2

⇒ x2 + 1/x2 = √1156

⇒ x2 + 1/x2 = 34      ----(2)

⇒ (x + 1/x)2 – 2 = 34

⇒ (x + 1/x)2 = 34 + 2

⇒ (x + 1/x) = √36

⇒ x + 1/x = 6

⇒ x2 + 1 = 6x

⇒ x2 – 6x = –1       ----(3)

We have to find the value of 2 × (x – 3)2

⇒ 2 × (x2 – 6x + 9)

⇒ 2 × (-1 + 9) 

⇒  2 × 8 = 16   from (3)

⇒ 16

∴ The correct answer is 16.

Shortcut Trick

Concept used:

⇒ x4 + 1/x4 = p

⇒ x2 + 1/x2 = √{p + 2} 

Calculation:

According to the question:

⇒ x4 + x-4 = 1154

⇒ x2 + 1/x2 = √{1154 + 2}

⇒ x2 + 1/x2 = 34

Now, 

⇒ x + 1/x = √{34 + 2}

⇒ x + 1/x = √36 = 6

⇒ x2 + 1 = 4x

⇒ x2 + 4x = - 1   ------(1)

So, 2 × (x – 3)2

⇒ 2 × (x2 – 6x + 9)

⇒ 2 × (-1 + 9) 

⇒  2 × 8 = 16   from (3)

⇒ 16

∴ The correct answer is 16.

Given:

∠BAC = 72°

Calculation:

⇒ ∠BOC = 90° - ∠A/2

⇒ ∠BOC = 90° - (72°/2)

⇒ ∠BOC = 90° - 36°

⇒ ∠BOC = 54°

∴ The correct answer is  54°.

Shortcut Trick

Effective rate of Compound Interest (CI) for 2 years at 21% = 21 + 21 + (21 × 21)/100 = 46.41%.

Effective rate of Simple Interest (SI) for 2 years at 21% = 21 × 2 = 42%.

Given 46.41% corresponds to ₹11,602.5.

⇒ 1% = 11602.5 ÷ 46.41 = 250.

⇒ SI (42%) = 250 × 42 = ₹10,500.

∴ The correct answer is ₹10,500.

Alternate Method

Given: Compound Interest (CI) = ₹11,602.5, Rate (R) = 21%, Time (T) = 2 years.

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

⇒ 11602.5 = P[(1 + 21/100)² − 1]

⇒ 11602.5 = P[(1.21)² − 1]

⇒ 11602.5 = P[1.4641 − 1]

⇒ 11602.5 = P × 0.4641

⇒ P = 11602.5 ÷ 0.4641 = ₹25,000

⇒ Simple Interest (SI) = (25000 × 21 × 2) ÷ 100

⇒ SI = 250 × 42

⇒ SI = ₹10,500

∴ The correct answer is ₹10,500.

Additional Information

Difference between CI and SI

For 2 years, the difference is given by D = P(R/100)².

Effective Interest Rate

The effective annual rate for CI is calculated using the formula (x + y + xy/100)% for successive changes.

Compound Interest Formula

Total Amount (A) = P(1 + r/100)ⁿ, where CI = A − P.

Given:

Distance between center(d) = 13 cm

r1 = 6 cm and r2 = 6 cm

Formula used:

Length of transverse common tangent = √{d² - (r₁ + r₂)²} 

Calculation:

Length of transverse common tangent = √{d2 - (r1 + r2)2} 

Length of transverse tangent = √{(13)2 - (6 + 6)2} 

⇒ √{169 - 144} = √25 = 5 cm

∴ The correct answer is 5 cm.

Calculation:

CP for dealer = 5000 × (80/100) × (95/100) = Rs. 3800

After spending Rs. 200 on repairs

Total CP for dealer = 3800 + 200 = Rs. 4000

SP of dealer = Rs. 5000

Profit = 5000 – 4000 = Rs. 1000

Profit percentage = (1000/4000) × 100 = 25%

∴ The correct answer is 25%.

Given:

The sum of the salaries of A and B is Rs. 42,000.

A spends 75% of his salary and B spends 90% of his salary.

Their savings are the equal.

Calculation:

Since their savings are same

∴ A × 25% = B × 10%

⇒ 5 A = 2 B

⇒ A/B = 2/5

Let the salaries of A and B be 2x and 5x respectively

∴ 2x + 5x = 42,000

⇒ 7x = 42,000

⇒ x = 6,000

Salary of A = 2 × 6000 = Rs. 12000

∴ The correct answer is Rs. 12000.

Calculation:

Total sales by all branches for the year 2001 = 105 + 110 + 95 + 65 + 95 + 80 = 550

Total sales by all branches for the year 2000 = 80 + 95 + 75 + 75 + 85 + 70 = 480

Required ratio = 550 : 480 = 55 : 48 

∴ The correct answer is 55 : 48.

Given:

A can complete a piece of work = 15 days

B can complete a piece of work = 20 days

Total money = Rs. 77000

Concept used:

When the work is equal

Time ∝ 1/Efficiency

Calculation:

Ratio of number of days taken by A and B to complete the work 

⇒ 15 : 20 = 3 : 4

Ration of efficiency of A and B = 4 : 3

Let share of A in money be 4x and B in money be 3x

⇒ 4x + 3x = 77000

⇒ 7x = 77000

⇒ x = Rs. 11000

A = 4x = 4 × 11000 = Rs. 44000

∴ Share of A in money = Rs. 44000

Given:

ΔABC ~ ΔQPR

Ar (∆ABC)/Ar (∆PQR) = 4/25

Calculation:

∵ ΔABC ∼ Δ QPR

⇒ (AB/PQ)² = Ar(∆ABC)/Ar(∆PQR)

⇒ (12/PQ)² = 4/25

⇒ 12/PQ = 2/5

⇒ PQ = 30 cm

∴ The correct answer is 30 cm.

Given:

A man bought three articles for Rs. 6,000 each.

Calculation:

Let the CP of each article = 100.

Total CP of 3 articles = 300

SP of first article = 100 × 115/100 = 115

SP of second article = 100 × 112/100 = 112

SP of third article = 100 × 85/100 = 85

Total CP of 3 articles = 115 + 112 + 85 = Rs. 312

Profit = 312 – 300 = Rs. 12

Profit Percentage = (12/300) × 100 = 4%

∴ The correct answer is 4%.

The correct answer is option 2) i.e. Shyam Saran

• Former foreign secretary Shyam Saran was conferred with Japan's second-highest national award called ‘The Order of the Rising Sun, Gold and Silver Star’ for his contributions to strengthening the strategic ties and enhancing mutual understanding between India and Japan.
• During his tenure, the then Japanese Prime Minister Junichiro Koizumi visited India for the first time in 5 years.
• "India Festival" was held in Japan in 1988 when he was Deputy Chief of Mission of Embassy of India in Japan.
• 'The Order of the Rising Sun' is a Japanese government honor established in 1875 by Emperor Meiji.

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

• This folk dance is performed to please the god of rain, Indra.
• Young ladies and girls of the district perform this dance while offering prayers to the god for good rain and a good crop.
• Some of the other folk dances of Bihar are Jat-Jatin, Kajari, Sohar-Khilouna, Jhumeri, etc.

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

• A firewall is a type of computer-security system.
• A firewall controls the flow of data from one computer or network to another and they are mainly intended to protect an individual computer system or a network from being accessed by an intruder, especially via the Internet.

Note:

• Cookies are small files that are stored on a user's computer. They are designed to hold a modest amount of data specific to a particular client and website and can be accessed either by the web server or the client computer.
• Spam is an undesired or illegal email message.
• Spyware is unwanted software that infiltrates your computing device, stealing your internet usage data and sensitive information.

The correct answer is option 3) i.e Anju Bobby George.

• Anju Bobby George was India’s only medallist at the IAAF World Championships (Paris, 2003)
• She was a gold medallist in the IAAF World Athletics Finals (Monaco, 2005)
• She is among the country’s most inspirational track and field stars.
• Her contribution to the sport is invaluable and makes a natural for AFI Hall of Fame.

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

• Mahmud Ghazni's chief antagonist in northern India was Jaipal, the ruler of Punjab of the Hindushahi dynasty.
• When, in 1001 AD, Maḥmūd marched on India at the head of 15,000 horse troops, Jaipal met him with 12,000 horse troops, 30,000-foot soldiers, and 300 elephants.
• In a battle near Peshawar (now in Pakistan) the Indians, though superior in numbers and equipment, fell back under the onslaught of the Muslim horsemen, leaving behind 15,000 dead.
• After falling into the hands of the victors the king Jaipal along with 15 of his relatives and officers, was finally released.
• He could not bear his defeat and mounted his own funeral pyre and perished in the flames.

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

• Khargone in Madhya Pradesh recorded the highest temperature, at 46.6°C, in the world.
• Khargone has consistently remained the hottest city of Madhya Pradhesh throughout the summer season of 2019.
• Six cities from the Vidharbha featured in the top 15 of the hottest in the world**.**

The correct answer is option 1) i.e. 1858.

• On August 2, 1858, less than a month after Canning proclaimed the victory of British arms, Parliament passed the Government of India Act, transferring British power over India from the East India Company to the crown.
• The merchant company’s residual powers were vested in the secretary of state for India, a minister of Great Britain’s cabinet, who would preside over the India Office in London and be assisted and advised by a Council of India, which consisted initially of 15 Britons, 7 of whom were elected from among the old company’s court of directors and 8 of whom were appointed by the crown.
• The post of the viceroy of India was created. First such viceroy of India was Lord Canning.
• The first secretary of state for India was Lord Stanley.

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

Key Points

• A thin film or skin of cells just under the bark is called the cambium.
• Only 1 percent of a dormant mature tree is biologically living while the rest is composed of non-living, structural wood cells.
• Rather, the major living and growing portions of a tree are leaves, buds, roots, and the cambium.

Additional Information

• Xylem is a plant vascular tissue that conveys water and dissolved minerals from the roots to the rest of the plant and also provides physical support.
• Pith is the tissue that is located in a plant’s stem and roots. It is soft and spongy. It functions by transporting nutrients throughout the plant and storing nutrients within its cells.
• The Crown is the top part of the tree from which branches grow above the stem.

The correct answer is Narendra Modi.

• 'Social Harmony' written by Shri Narendra Modi is a collection of essays on Dalits, Tribals, Women & Family relations and elaborates on how Social Harmony can be achieved in our society.
• In Hindi, the title of the book is Samajik Samrasta.
• Narendra Modi has penned many books. Some of the popular books are Exam warriors, Jyotipunj, Convenient Action: Continuity for Change, etc.

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

• Lahore, the second largest city of Pakistan and the capital of Punjab province.
• It lies northeast of Karachi in the upper Indus plain on the Ravi River, a tributary of the Indus.
• The Mughals established a number of gardens in Lahore such as Shahdara gardens, Shalimar gardens, Jallo gardens, etc.
• The fort and the Shalimar Garden have collectively designated a UNESCO World Heritage site in 1981.

The correct answer is option 1) i.e. Bandhan Bank.

• Bandhan Bank Ltd. is an Indian banking and financial services company headquartered in Kolkata, West Bengal.
• Bandhan, which started as a micro-finance company in 2001, received a banking license by Reserve Bank of India in 2014.

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

• Pandit Budhadityaji was born in 1955 in Durg, Chattisgarh.
• He is considered as the leading sitarist of his generation, Budhadityaji received his entire training in Sitar from his father, Pandit Bimalendu Mukherjee.
• He has, since 1979, performed in 26 countries including the UK., USA., Canada, Australia, New Zealand, the UAE, Armenia, and in almost all European countries.
• On June 30, 1990, Budhaditya Mukherjee created history by becoming the first-ever musician to perform at the House of Commons, London.

The correct answer is option 2) i.e. Budget Line

• The budget line shows all those combinations of two commodities that the consumer can buy spending his given money income on the two goods at their given prices.
• An example to understand this concept - Suppose our consumer has got an income of Rs. 100 to spend on goods A and B. Let the price of the good A in the market be Rs. 20 per unit and that of B be Rs. 10 per unit. If the consumer spends his whole income of Rs. 100 on good A, he would buy 5 units of A; if he spends his whole income of Rs. 100 on good B he would buy 10 units of B. If a straight line joining 5A and 10B is drawn, we will get what is called the price line or the budget line.

​Note: 

• The utility is a term in economics that refers to the total satisfaction received from consuming a good or service.
• Supply curve in economics is a graphic representation of the relationship between product price and quantity of product that a seller is willing and able to supply.
• The demand curve in economics is a graphic representation of the relationship between product price and the quantity of the product demanded.

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

• The lithosphere is a rigid, rocky outer layer of the Earth, consisting of the crust and the solid outermost layer of the upper mantle.
• It extends to a depth of about 100 km.
• It comprises the rocks of the earth’s crust and the thin layers of soil that contain nutrient elements that sustain organisms.
• There are two main divisions of the earth’s surface.
• The large landmasses are known as the continents and the huge water bodies are called the ocean basins.

The correct answer is option 4) i.e. Jammu and Kashmir.

• Dogri language, member of the Indo-Aryan group within the Indo-European languages.
• Dogri is spoken by approximately 2.3 million people, most commonly in the Indian state of Jammu and Kashmir.
• It is an officially recognized language in India.
• The earliest written reference to Dogri is found in the Nuh sipihr (“The Nine Heavens”), written by the poet Amir Khusru in 1317 CE.
• Principal Languages of Jammu & Kashmir - Urdu, Dogri, Kashmiri, Pahari, Punjabi, Ladakhi, Balti, Gojri and Dadri

The correct answer is option 1) i.e. Baldev Singh.

• Baldev Singh (1902-1961) was the first Defence Minister of India at Independence.
• He was the defence minister of India from 15.08.1947 to 13.05.1952.
• He was born on 11 July 1902 in a Sikh family in the village of Dummna, in Ropar district of Punjab.
• He was also an Industrialist and Politician.
• He died in 1961.

Deputy Prime Minister - Sardar Vallabhbhai Patel

Minister of Labour - Jagjeevan Ram

Minister of Home Affairs and States - C Rajagopalachari

The correct answer is option 1) i.e. Mihir Sen.

• Mihir Sen is the first Indian and also the first Asian to cross the English Channel.
• He achieved this feat on September 27 in the year 1958.
• The English Channel is a part of the Atlantic Ocean that divides the island of Great Britain from Northern France.
• The channel has a length of 563 km and a width of 240 km.

The correct answer is option 3) i.e. Tim Berners-Lee.

• Tim Berners-Lee, a British computer scientist, generally credited as the inventor of the World Wide Web.
• The development of the World Wide Web was begun in 1989 by Tim Berners-Lee and his colleagues at CERN, an international scientific organization based in Geneva, Switzerland.
• In 2004 he was awarded a knighthood by Queen Elizabeth II of the United Kingdom and the inaugural Millennium Technology Prize by the Finnish Technology Award Foundation.

Note:

• Charles Babbage was an English mathematician and inventor who is credited with having conceived the first automatic digital computer.
• Steve Wozniak is an American computer scientist, inventor, and programmer. In partnership with his friend Steve Jobs, Wozniak invented the Apple I computer.
• Bill Gates American is a computer programmer and entrepreneur who cofounded Microsoft Corporation, the world’s largest personal-computer software company.

The correct answer is option 1) i.e. Rajendra Prasad.

• Dr. Rajendra Prasad was the first president of India.
• He is also the longest serving president of India from 1950-62.
• A lawyer by profession, Dr. Prasad was an influential leader during the Indian freedom struggle.
• He served as the president of the Constituent Assembly that drafted the first constitution of the Republic of India, which lasted from 1948 to 1950.
• He also became the first Minister of Food and Agriculture in 1946 in the interim national government.

CONCEPT:

• Radioactivity: Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive.
• A radioactive nucleus consists of an unstable assembly of protons and neutrons which becomes more stable by emitting an alpha, a beta particle, or a gamma photon.
• Atoms are radioactive if their nuclei are unstable and spontaneously (and random) emit various particles α, β, and/or γ radiations.
• The original unit for measuring the amount of radioactivity is Curie (Ci) – first defined to correspond to one gram of radium-226.
• 1 curie = 3.7x10¹⁰ radioactive decays per second.
• In the International System of Units (SI) curie has been replaced by becquerel (Bq).
• **1 becquerel = 1 radioactive decay per second = 2.703x10-11 Ci.**​

​EXPLANATION:

• From the above discussion, the SI unit of radioactivity is Becquerel (Bq).
• The correct answer is option 4.

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

• NewSpace India Limited (NSIL), the commercial arm of Indian Space Research Organisation (ISRO), was officially inaugurated in Bengaluru.
• Its main objective is to scale up industry participation in Indian space programs.
• It was inaugurated by ISRO's honorary adviser, Dr.K Kasturirangan in the presence of chairman Dr.K Sivan.
• It was incorporated on March 6, 2019, for commercially utilizing research and development activities carried out by ISRO in the area of space with an authorized share capital of Rs 100 crore and initially paid-up capital of Rs 10 crore.

The correct answer is option 2) i.e. Lacrimal gland.

• Tear duct and glands, also called lachrymal, or lacrimal, duct and glands, are structures that produce and distribute the watery component of the tear film.
• Tears consist of a complex and usually clear fluid that is diffused between the eye and the eyelid.
• The mucous layer helps the tear film adhere to the eye surface, while the lipid layer serves to reduce tear evaporation.
• Diseases that damage the lacrimal gland, and thus decrease tear secretion, can lead to chronic dry eye, which ultimately can threaten vision.

The correct answer is option 1) i.e. Lawn Tennis

• 'Jamming' refers to hitting the tennis ball straight to the opponent's body not allowing them to extend the racquet to hit the ball well.
• Some of the other popular terms associated with lawn tennis are Ace, Back-court, Deuce, Double Fault, etc.

​Note:

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

• Mahaweli Ganga river, (Sinhalese: “Great Sandy River”)
• At 335 km in length, it is Sri Lanka’s longest river.
• It rises on the Hatton Plateau on the western side of the island’s hill country, flows north through a tea and rubber growing region, and turns east near Kandy.
• It then turns north across the lowlands, where it meets its principal tributary, the Amban Ganga.

The correct answer is option 2) i.e. Dinesh Arora.

• The Insurance Regulatory and Development Authority of India (IRDAI) and the National Health Authority (NHA) have formed a working group on the Ayushman Bharat Pradhan Mantri Jan Arogya Yojana (AB-PMJAY).
• The joint working group, to be chaired by Dinesh Arora, Deputy CEO of NHA, will have 10 members from both the organizations.
• In six months, it will submit a report on how to detect and deter fraud through a common repository and capacity-building.