Analogies and Number Series Quiz

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Questions and Answers

Which operation should be changed to make the equation 18 – 6 × 7 ÷ 2 + 8 = 63 correct?

Change – to ÷

Change ÷ to – (correct)

Change + to ×

Change × to +

What is the correct result of the equation if '+' means '×', '–' means '÷', '×' means '–' and '÷' means '+' for 18 + 6 – 4 × 2 ÷ 3?

22 (correct)

If the operations are swapped as defined, what is the value of 4_3_4 using the operations indicated?

48 (correct)

How is the equation 18 × 6 – 4 + 7 × 8 = 47 modified to become correct?

Change – to + Signup and view all the answers

What is the result of 18 ÷ 6 + 4 – 2 ÷ 3 when the operations are switched accordingly?

74 Signup and view all the answers

Which professional specializes in treating kidney diseases?

Nephrologist Signup and view all the answers

If 'Voyage' is related to 'Sea sickness', what would 'Heights' be associated with?

Acrophobia Signup and view all the answers

What is the relationship between 'Heart' and 'Cardiologist'?

Body part to physician Signup and view all the answers

In the analogy '12 : ?', what is the value that fits the pattern based on given ratios?

20 Signup and view all the answers

What does a seismograph measure?

Earthquakes Signup and view all the answers

If 'Experiment' is to 'Laboratory', what is 'Taseometer' related to?

Measurement Signup and view all the answers

Which of the following options indicates a relationship similar to 'Cake' and 'Id-ul-Fitr'?

Celebration Signup and view all the answers

What is the relationship pattern between '13 : 169'?

Square Signup and view all the answers

What is the first Prime Minister of India known for?

Leading India to independence Signup and view all the answers

Which of the following pairs represents a similar relationship as 'Frame : Picture'?

Piano : Key Signup and view all the answers

In a sequence where '20 : 11 :: 102 : ?', what is the missing number?

52 Signup and view all the answers

What does the abbreviation 'Dr.' in 'Dr. Rajendra Prasad' signify?

Doctor Signup and view all the answers

Which of the following numbers corresponds with the analogy '6415 : 5304'?

6705 Signup and view all the answers

What is the significance of 'First President of India'?

Rajendra Prasad played a critical role during independence. Signup and view all the answers

If '18 : 162' establishes a direct relationship, what will '36 : ?' represent?

648 Signup and view all the answers

Which option correctly relates to 'String : Violin'?

Note : Guitar Signup and view all the answers

If '+' represents division and '×' represents addition, which of the following is correct when evaluated?

8 – 0 – 4 = 2 Signup and view all the answers

What is the correct answer for the equation 15 ÷ 5 × 2 – 6 + 3 based on the specified operations?

28 Signup and view all the answers

If '–' stands for division, '+' for multiplication, '÷' for subtraction, and '×' for addition, what is the value of 44 – 9 + 6 × 11?

87 Signup and view all the answers

Which of these equations using the specified operation definitions is correct?

15 – 5 + 2 × 6 ÷ 3 = 41 Signup and view all the answers

If the expressions 2 × 16 = 8 and 8 × 8 = 1 hold true, what does 12 × 144 equal?

2 Signup and view all the answers

In the context of the operations provided, what is the result of the expression 15 × 5 + 2 – 6 ÷ 3?

56.5 Signup and view all the answers

When evaluated under the provided systems, what is the outcome of the equation 15 – 5 + 2 × 6 ÷ 3?

41 Signup and view all the answers

Given the transformation of the operations, if 15 + 5 – 2 ÷ 6 × 3 = ?, what is the correct answer?

3 Signup and view all the answers

If 1 + 4 = 9 and 2 + 8 = 18, what would be the result of 3 + 6 based on this pattern?

15 Signup and view all the answers

Based on the previous equations, what is the result of 7 + 8?

23 Signup and view all the answers

Given that 2 × 4 × 6 = 4, what is the result of 9 × 3 × 7?

13 Signup and view all the answers

If 10 – 3 = 12 and 12 – 4 = 13, what does 14 – 5 equal?

13 Signup and view all the answers

From the equation 3 × 5 × 7 × 2 = 24, what does 4 × 7 × 6 equal?

32 Signup and view all the answers

If 4 × 4 × 8 × 9 has a different calculation, what is the result following the previous examples?

42 Signup and view all the answers

In the context of the special system of equations, what would 6 + 2 equal?

8 Signup and view all the answers

What result will 5 × 6 × 2 yield if it follows 3 × 5 × 7 × 2 = 24?

30 Signup and view all the answers

Study Notes

Analogies

Seismograph is used to measure earthquakes, just like Taseometer is used to measure strain in solids.
The heart is studied by a Cardiologist, while a Nephrologist studies the kidney.
A voyage can lead to sea sickness, just like heights can lead to giddiness.
A string is essential to a violin, much like a key is essential to a piano.
The first Prime Minister of India was Pt. Jawaharlal Nehru, much like the first President of India was Dr. Rajendra Prasad.
The numbers 18 and 5 have a ratio of 18:5 just as the numbers 12 and 3 have a ratio of 12:3.

Number Series

18:5::12: ? The given numbers are in a ratio of 18:5. To find the missing number, we can use that same ratio. Applying that ratio to 12, we get 12:3.
The numbers 10 and 99, form a pattern. 10 to 99 is like the pattern 10 x 10 -1 = 99 and 7 x 7 -1 = 48.

Equations

The equation 7 - 4 - 1 = 714, 9 - 2 - 3 = 932, 8 - 0 - 4 = 804.
The equation 1 + 4 = 9, 2 + 8 = 18, 3 + 6 = 15, 7 + 8 = 30. There is a pattern, 1+4 = 5 x 2 = 10. The correct answer is 30.
2 x 4 x 6 = 4, 9 x 3 x 7 = 13, 4 x 7 x 6 = 3, 9 x 7 x 8 = 10. The given equations use a simple rule: ignore all three numbers and add the first digit of the first number with the first digit of the last number (for example, 9 x 3 x 7 = 13. Add the first digits of 9 and 7, which is 16. Then subtract 3 to get 13). This means the last equation can be expressed as 9 x 7 x 8 = (9+8)-3 = 10.
3 x 5 x 7 x 2 = 24, 2 x 4 x 6 x 8 = 22, 4 x 4 x 8 x 9 = ? The given number series follows a pattern. First, add the digits of the first number - (3+5+7+2) = 17. Then, add the digits of the second number - (2+4+6+8) = 20. Then, subtract the two answers - 20-17 = 3. This sum is the solution. Adding up the digits in our last number, 4x4x8x9, we get 25. Subtracting from our prior solution, we get 25-3 = 22. So, the final solution is 22.
10 - 3 = 12, 12 - 4 = 13, 14 - 5 = 14, 16 - 6 = ? The first number plus the second number minus 2 equals the result (10 + 3 - 2 = 11). The equation is incorrect but the result is correct, the result is 16 just like the trend. Therefore, 16 – 6 = 16.
5 + 6, 3 – 12 × 2 = 17. The problem states that we should change one sign to make the equation correct. The change that makes the equation correct is changing the ‘+’ to ‘×’ (5 x 6, 3 – 12 x 2 = 17), so the correct answer is ‘+’.
20 a 10 b 45 c 5 d 12 = ? Where ‘a’ stands for ‘+’ and ‘b’ stands for ‘×’ and ‘c’ stands for ‘÷’ and ‘d’ stands for ‘–’, the equation is 20 + 10 × 45 ÷ 5 – 12 = 88.
18 – 6 × 7 ÷ 2 + 8 = 63. If '+' means '×', '–' means '÷', '×' means '–' and '÷' means '+', then the equation would be 18 ÷ 6 – 7 + 2 × 8 = 63.
4 _ 3 _ 4 = 48. To make the equation correct, the arithmetic operations needed are 4 × 3 + 4 = 48
If 2 × 16 = 8; 8 × 8 = 1; 6 × 12 = 2, then 12 × 144 =?. The numbers 16, 8, 12, and 144 all divide by 2 resulting in 8, 4, 6, and 72. If there is no solution, then the pattern can be found in 2 x 16 (removing the middle digit yields 28) resulting in 8 (2+8 =10 and take the last digit 0+10=10 and then the last digit of the answer). Following the pattern, 12 x 144 = 120, dropping the middle digit we have 12, and then following our pattern, 2 + 12 = 14 and since it ends in a two, we will take 14 + 2 = 16. The correct answer is 16.

Miscellaneous

If 10 - 3 = 12, 12 - 4 = 13, 14 - 5 = 14, then 16 - 6 = ? The pattern is adding the first and second number and subtracting 2 results in the third number. Therefore, 16 - 6 = 16.

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Description

Test your knowledge of analogies and number series with this quiz that covers comparisons in various contexts. It includes questions on ratios, essential components, and basic arithmetic equations. Challenge yourself to think critically and spot the patterns!