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The correct answer is None of the above.

Key Points

Total number of letters = 5

Number of repeating letters = 0

The total number of words that can be formed are = 5P5

= 5!

= 120

∴The total number of words that can be formed is 120.

Alternate Method

• There are 5 different letters in the word DIARY.
• The first place can be filled in 5 ways.
• The second place can be filled by any one of the remaining 4 letters. So, second place can be filled in 4 ways.
• So, on continuing, the number of ways of filling third place in 3 ways, fourth place in 2 ways, fifth place in 1 way.
• Therefore, the number of words that can be formed using all the letters of the word DIARY, using each letter exactly once is 5×4×3×2×1 = 5! = 120

The Correct answer is 77.

The given table follows the rule:

In the row: (First Number - Third Number) x 7 = Second Number

⇒ 44 – 37 = 7 × 7 = 49

⇒ 58 – 53 = 5 × 7 = 35

Similarly,

⇒ 52 – 41 = 11 × 7 = 77

Hence, option 3 is the correct answer.

The correct answer is 428.

Key Points

20 - 15 = 5 = 2² + 1

32 - 20 = 12 = 3² + 3

Similarly, X - 248 = 13² + 11

or, X = 180 + 248 = 428

The logic follows here is:

Difference Between two numbers = (Prime Number)² + Odd Number

The correct answer is 212219523.

The logic follows here:- 

For the alphabet on odd position, use the reverse positional values + 1

and for the alphabet on even position, use the same positional values + 1.

FASTER:

F = reverse positional values + 1 = 21 + 1 = 22

A = same positional value + 1 = 1 + 1 = 2

S = reverse positional values + 1 = 8 + 1 = 9

T = same positional value + 1 = 20 + 1 = 21

E = reverse positional values + 1 = 22 + 1 = 23

R =  same positional value + 1 = 18 + 1 = 19

Similarly, for M-O-N-K = 15-16-14-12

and G-U-I-D-E = 21-22-19-5-23

Hence, for GUIDE, code 212219523 is the correct answer.

Calculation:

Key PointsLet the sides of the rectangle = a and b

Area of the rectangle = a x b =  30 cm² ... (1)

and perimeter = 2(a+b) = 26 cm ... (2)

By putting the options in the equations, we get a = 10 cm and b = 3 cm 

Additional Information

a + b = 13 cm

a + (30/a) = 13

⇒ a² + 30 = 13a

⇒ a2 - 13a + 30 = 0

⇒ a2 - 10a - 3a + 30 = 0

⇒ a(a - 10) -3 (a - 10) = 0

⇒ (a - 3)(a - 10) = 0

Hence a = 3 or a =10

By putting the value of 'a' into equation 1, we get

b = 10 or b =3

Given:

MP of the item = Rs. 400

Discount = 10%

Tax = 10%

Concept used:

SP = MP - (MP × Discount%)

Calculation:

Price after  discount = 400 - (400 × 10%)

⇒ 360

Price after Tax = 360 + (360 × 10%) = 360 + 36 = 396

∴ The item is available to customers at Rs. 396.

The correct answer is 2, 1, 4, 3, 5.

Key Points

The Indian order of precedence is a ceremonial list of all the officials and functionaries.

2. President
3. Vice President
4. Prime Minister
5. Speaker
6. Members of the Parliament 

Additional Information

The correct answer is one-fourth.

Key Points

Let the total property of Reshma = X

She donates one-fourth of her property (i.e. X/4) to a charity organization,

So, the remaining property = X - X/4 = 3X/4

Now she divides the remaining property equally among her three children.

So, the part of property each child gets is = ${3X/4}\over{3}$ = X/4

Hence, each child gets one-fourth of the total property.

According to the options,

option 1) Rhombus - A rhombus is a type of quadrilateral whose opposite sides are parallel and all four sides are equal in length.

option 2) Rectangle - A rectangle is a polygon with 4 sides, such that the opposite sides are equal and parallel to one another, also the measure of all the internal angles in a rectangular shape object is equal to 90 degrees.

option 3) A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides of every rhombus are parallel, so every rhombus is a parallelogram.

All squares are rhombuses as all sides of a square are of equal lengths. All squares are also rectangles as each internal angle measures 90°.

Hence, Options 1 and 2 both are correct.

Options 3 is also correct.

The correct answer is none of the above.

The correct answer is 'Wife of brother-in-law'.

Key Points

Given :

1. X, B and A are siblings. Where A is the only daughter and B and X are two sons of T and Z.
2. R is the daughter of A and S is the spouse of A.
3. H and M are siblings, and K is the mother of M.
4. X is unmarried, so K is the wife of B.
5. Z is the grandmother of H.

Because B is the brother-in-law of S. 

Hene, K is the wife of the brother-in-law of S.