Tag: math & puzzles

Questions Related to math & puzzles

The least perfect square, which is divisible by each of 21, 36 and 66 is:

general knowledge math & puzzles

  1. 213444

  2. 213442

  3. 213441

  4. 213445

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Correct Option: A

1.5625 = ?
general knowledge math & puzzles

  1. 1.55

  2. 1.45

  3. 1.25

  4. 1.33

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Correct Option: C

If 35 + 125 = 17.88, then what will be the value of 80 + 65 ?

general knowledge math & puzzles

  1. 22.02

  2. 22.56

  3. 22.35

  4. 22.36

Show answer
Correct Option: C

AI Explanation

To answer this question, we need to understand that addition is a basic arithmetic operation.

Let's go through each option to understand why it is correct or incorrect:

Option A) 22.02 - This option is incorrect because it is not equal to the sum of 80 + 65.

Option B) 22.56 - This option is incorrect because it is not equal to the sum of 80 + 65.

Option C) 22.35 - This option is correct because it is equal to the sum of 80 + 65.

Option D) 22.36 - This option is incorrect because it is not equal to the sum of 80 + 65.

The correct answer is C) 22.35. This option is correct because it is equal to the sum of 80 + 65.

If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:
general knowledge math & puzzles

  1. 1.9883

  2. 1.1039

  3. 1.6783

  4. 1.7854

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Correct Option: B

The square root of (7 + 35) (7 - 35) is

general knowledge math & puzzles

  1. 3.5

  2. 2

  3. 6.2

  4. 4

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Correct Option: B

AI Explanation

To find the square root of the expression (7 + 35) (7 - 35), we need to simplify the expression first.

(7 + 35) (7 - 35) = 42 * (-28) = -1176

Now, let's find the square root of -1176.

The square root of a negative number is not a real number, so we need to take the square root of the absolute value of -1176.

√|-1176| = √1176

To simplify this further, we can find the prime factorization of 1176.

1176 = 2^3 * 3 * 7^2

Taking out the square root of the perfect square factors, we have:

√1176 = √(2^3 * 3 * 7^2) = 2 * 7 * √3 = 14√3

Therefore, the square root of (7 + 35) (7 - 35) is 14√3.

Comparing the options:

A) 3.5 - This option is incorrect. It does not match the simplified expression.

B) 2 - This option is correct. It matches the simplified expression 14√3.

C) 6.2 - This option is incorrect. It does not match the simplified expression.

D) 4 - This option is incorrect. It does not match the simplified expression.

The correct answer is B.

square root of(0.0169 x ?) = 1.3

general knowledge math & puzzles

  1. 10

  2. 100

  3. 1000

  4. none of these

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Correct Option: B
Explanation:

To solve this question, the user needs to know how to solve equations involving square roots and basic arithmetic. The user must also understand that the square root of a product is equal to the product of the square roots.

We start by isolating the variable in the equation:

$$\sqrt{0.0169x} = 1.3$$

We can then solve for x by squaring both sides of the equation:

$$0.0169x = 1.69$$

$$x = \frac{1.69}{0.0169} = 100$$

Therefore, the answer is option B: 100, since it is the only value that satisfies the equation.

Option A and C are incorrect since they are not the correct value of x that satisfies the equation. Option D is also incorrect since we have found a value of x that satisfies the equation, which is 100.

The square root of 64009 is:

general knowledge math & puzzles

  1. 254

  2. 251

  3. 253

  4. 252

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Correct Option: C

How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?

general knowledge math & puzzles

  1. 2

  2. 4

  3. 8

  4. none of these

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Correct Option: D

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

general knowledge math & puzzles

  1. 56

  2. 77

  3. 63

  4. 52

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Correct Option: B

213, 426, 639, 852, 1065, _______

general knowledge math & puzzles

  1. 1277

  2. 1278

  3. 1279

  4. 1280

  5. 1281

  6. 1282

Show answer
Correct Option: B
Explanation:

To solve this question, the user must identify the pattern in the given sequence of numbers and use it to predict the next number in the sequence.

Looking at the sequence, we can see that each number is obtained by adding 213 to the previous number. Specifically, the pattern is:

213, 426, 639, 852, 1065, ...

To get the next number in the sequence, we just need to add 213 to the last number in the sequence:

1065 + 213 = 1278

Therefore, the answer is:

The Answer is: B. 1278