Calculation:

⇒ 15/11 ÷ { [11/80 ÷ 3/4(1/4 - 1/15) ÷ 11/6] + 9/11}

⇒ 15/11 ÷ { [11/80 ÷ 3/4(11/60) ÷ 11/6] + 9/11} 

⇒ 15/11 ÷ { [11/80 ÷ 11/80 ÷ 11/6] + 9/11}

⇒ 15/11 ÷ { [11/80 × 80/11 × 6/11] + 9/11} 

⇒ 15/11 ÷ { 6/11 + 9/11}

⇒ 15/11 ÷ 15/11

⇒ 1

Calculations:

x³ + 1/x³ + 3x + 3/x = 27 

x³ + 1/x³ + 3(x + 1/x) = 27 

x³ + 1/x³ + 3 × 3 = 27 

x³ + 1/x³ = 27 - 9 = 18

Hence, The Correct option is 1.

Given:

Ratio of profit = 4 : 11 : 7

Difference of share of A and C = 2 × Rs. 2100

= Rs. 4200

Calculation:

Let, the share of A, B and C = 4a, 11a and 7a.

∵ Share of C - A = 4200

∴ 7a - 4a = 4200

⇒ 3a = 4200

⇒ a = 4200/3

⇒ a = Rs. 1400

∴ Total Profit of A, B and C = 4a + 11a + 7a

= 22a

= 22 × 1400

= Rs. 30,800

Given:

Number = 647592

Divisor = 88

Concept Used:

Divisibility rule of 3 = Sum of all digits of a number should be divisible by 3.

Calculation:

⇒ Rearranged the number in increasing order = 245679

⇒ Applying the divisibility rule of 3,

⇒ Sum of all digits of a number = 2 + 4 + 5 + 6 + 7 + 9 = 33

⇒ 33 is divisible by 3.

Therefore, the new number formed after rearrangement is divisible by 3.

Given:

In a class of 70 students, 70% are girls and the remaining are boys.

The average of the girl's marks is 30 and that of the boys is 40

Concept used:

Average = Total/ Number 

Calculation:

The number of girls will be 

⇒ 70 × (70/100) = 49

The number of Boys will be,

⇒ 70 - 49 = 21

⇒ 2310/70 = 33

∴ The correct option is 1.

• Father, daughter, and dog have no characteristics common to each other.
• The best Venn diagram representation is as follows:

Hence, "option 4" is the correct answer.

The logic followed here is :

(Third letter - first letter) = Second letter.

Given series- CIL, QDU, PFV, KN?

Alternate Method

The logic followed here is :

1st letter + 2nd letter = 3rd letter.

i) CIL

Here, question mark (?) will be replaced by 'Y'.

The diagram is given below:-

• Mr Z facing west at point B.

Hence, "option 3" is the correct answer.

The logic followed here is:

3 - 1 = 2; 

2 + 6 = 8;

8 - 1 = 7; 

7 + 6 = 13;

13 - 1 = 12; 

12 + 6 = 18;

Hence, '18' is the correct answer.

According to the given statement,

Argument (I): This is strong, because digitisation of villages is only possible if they equip the rural people with computer knowledge. The reach of knowledge would be maximum and effective if it is imparted at an early age.

Argument (II): This is also strong, because it is talking about one of the major benefits of computer education which is making the youth employable. Learning computers as early as school years would ensure that the youth have sufficient proficiency by the time they graduate.

Hence, “both arguments I and II” are strong.