The number of triangles in the given figure is shown below:

Hence, ‘17’ is the correct answer.

The least possible Venn diagram is shown below:

Conclusions:

I. All teachers are students →Does not follow → (As all teachers are students is false because All students are teachers and some teachers are students follow)

II. All humans are students → Does not follow → (As all humans are students is false because All humans are students and some humans are students follow)

Thus, neither Conclusion I nor Conclusion II follow.

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

The pattern followed here is:

According to the alphabetical positions of the letters,

1. TYDI → T + 5 = Y; Y + 5 = D; D + 5 = I

2. ZEJP → Z + 5 = E; E + 5 = J; J + 5 = O ≠ P

3. HMRW → H + 5 = M; M + 5 = R; R + 5 = W

4. NSXC → N + 5 = S; S + 5 = X; X + 5 = C

Hence, ‘ZEJP’ is the odd one out. 

The logic followed here is:

• A canvas is a piece of cloth framed as a surface for a painting.

​Similarly,

• The sky is worked as a surface for the Rainbow.

Additional Information

Cloud is a part of the sky. A Rainbow formed in the sky, not on clouds.

The logic followed here is:

(Second number + 1) × 2 = First number

Given: 40 : 19 ⇒ (19 + 1) × 2 = 20 × 2 = 40

Let's check options now:

1) 28 : 13 ⇒ (13 + 1) × 2 = 14 × 2 = 28

2) 20 : 11 ⇒ (11 + 1) × 2 = 12 × 2 = 24 ≠ 20

3) 34 : 17 ⇒ (17 + 1) × 2 = 18 × 2 = 36 ≠ 34

4) 46 : 23 ⇒ (23 + 1) × 2 = 24 × 2 = 48 ≠ 46

Hence, option 1) is the correct answer.

Opposite surface of the open dice can be find by below rules:-

• Alternate surface are opposite to each other.
• No two opposite surface are touched by side or by corners

So By using above rule we can find opposite surface of open dice.

Below are the opposite surfaces:-

As we know that, no two opposite surface adjacent to each other.

So in option 1, M and T are opposite surface but shown adjacent. Hence wrong.

In option 2, P and S are opposite surface but shown adjacent. Hence wrong.

In option 3, N and Q are opposite surface but shown adjacent. Hence wrong.

In option 4, no opposite surface are adjacent.

Hence, option 4 is correct.

The positions of the letters according to the English alphabet series:

The pattern for this code is as follows;

All except option (2) follow the same pattern.

Hence, "LK - MM" is the correct answer.

The pattern followed here is:

Hence, ‘HKY’ is the correct answer.

The logic followed is:

Second number = (First number × 3) + 2

Option 1 → 6 : 20

20 = 6 × 3 + 2

20 = 18 + 2

20 = 20

Option 2 → 11 : 35

35 = 11 × 3 + 2

35 = 33 + 2

35 = 35

Option 3 → 18 : 56

56 = 18 × 3 + 2

56 = 54 + 2

56 = 56

Option 4 → 8 : 24

24 = 8 × 3 + 2

24 = 24 + 2

24 ≠ 26 

Hence, the correct answer is "Option 4".

Explanation:

BODMAS table

Given equation : 45*9*3*7*5*21

Option 1 : ÷, +, × , -, = by subsituting values by BODMAS rule we get

• 45 ÷ 9 + 3 × 7 - 5 = 21
• 5 + 3 × 7 - 5 = 21
• 5 + 21 - 5 = 21
• 26 - 5 = 21
• 21 = 21 ( LHS = RHS )

Option 2. : -, ÷, +, × , = by subsituting values by BODMAS rule we get

• 45 - 9 ÷ 3 + 7 × 5 = 21
• 45 - 3 + 7 × 5 = 21
• 45 - 3 + 35 = 21
• 80 - 3 = 21
• 77 ≠ 21(LHS ≠ RHS )

Option 3 : × , +, ÷, -, = by subsituting values by BODMAS rule we get

• 45 × 9 + 3 ÷ 7 - 5 = 21
• 405 + 0.42 - 5 = 21
• 405.42 - 5 = 21
• 400.42 ≠  51(LHS ≠ RHS )

Option 4 : -, +, × , ÷, = by subsituting values by BODMAS rule we get

• 45 - 9 + 3 × 7 ÷ 5 = 21
• 45 - 9 + 3 × 1.4 = 21
•  45 - 9 + 4.2 = 21
• 49.2 - 9 = 21
• 40.2 ≠  21(LHS ≠ RHS )

Hence, "÷, +, × , -, ="  is the correct answer.