Analogies and Number Series Quiz

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.