AFCAT Model Paper 1

Concept:
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 least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.
Calculation:
Let the number be x, then
According to the question

[(x×3×5)+10]

2

−4=

1

3

‌of(4×3)
⇒

(15x+10)

2

−4=12×

1

3

⇒

(15x+10)

2

−4=4
⇒

(15x+10)

2

=8
⇒ (15x+10)=8×2
⇒ 15x+10=16
⇒ 15x=16−10
⇒ 15x=6
⇒ x=

6

15

⇒ x=

2

5

⇒ x=0.4
∴ The required number is 0.4.