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Q7475/80Q76
Q75·CSAT · Prelims 2024

Finding the wrong number in a geometric progression series

NumericalNumber SeriesFactual singleMedium

Question

If a + b means a - b; a - b means a × b; a × b means a ÷ b; a ÷ b means a + b then what is the value of 10 + 30 - 100 × 50 ÷ 25? (Operations are to be replaced simultaneously)

Options

a

15

b

0

c

-15

d

-25

Answer

Explanation

Perform the simultaneous operator substitutions exactly as defined by the encryption rules :

Replace `+` with `-`
Replace `-` with `×`
Replace `×` with `÷`
Replace `÷` with `+`

The original expression `10 + 30 - 100 × 50 ÷ 25` transforms into: 10 - 30 × 100 \div 50 + 25.

Now execute the mathematical evaluation strictly following BODMAS order of operations:

1First handle division: 100 \div 50 = 2.

The calculation reduces to: 10 - 30 × 2 + 25.

2Next handle multiplication: 30 × 2 = 60.

The calculation reduces to: 10 - 60 + 25.

3Finally, process the remaining addition and subtraction from left to right:

10 - 60 = -50 -50 + 25 = -25.

In operator replacement problems, execute the symbol swaps globally first, then solve the expression strictly using standard BODMAS order of operations.

Answer: (d).

Question details

Year

2024

Paper

CSAT

Question

Q75

Section

Numerical Ability

Sub-topic

Number Series

Type

Factual single

Difficulty

Medium

Source hint

Number series analysis

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