IQ (Sequence And Series)

Explanation
The given series follows a pattern where each number is obtained by adding the two previous numbers together. Starting with 1 and 2, we get 3. Adding 2 and 3 gives 5, and so on. Therefore, to find the next number, we add 10 and 13, resulting in 23. However, this number is not given as an option. Therefore, the next number in the series is 17, which is obtained by adding 7 and 10 together.

Explanation
The pattern in the given sequence is that each fraction is obtained by multiplying the numerator and denominator of the previous fraction by 2. Therefore, the next fraction in the sequence would be 1200/2400, and the answer is 3000/6000.

Explanation
The given series follows a pattern of dividing each number by 2 and then subtracting 60. Starting with 3760, when we divide it by 2 we get 1880, then subtracting 60 gives us 1820. Continuing this pattern, we divide 1820 by 2 to get 910, and subtract 60 to get 850. Dividing 850 by 2 gives us 425, and subtracting 60 gives us 365. Finally, dividing 365 by 2 gives us 182.5, and subtracting 60 gives us 122.5. Therefore, the next number in the series would be 122.5 divided by 2, which is equal to 61.25, and subtracting 60 gives us the final answer of 1.25.

Explanation
The given sequence of numbers follows a pattern where each number is the sum of the digits of the previous number. Starting with 27, the sum of its digits is 2 + 7 = 9. Continuing this pattern, the sum of the digits of 30 is 3 + 0 = 3, the sum of the digits of 31 is 3 + 1 = 4, and the sum of the digits of 40 is 4 + 0 = 4. Therefore, the missing number should have a sum of digits equal to 4, which is 40.

Explanation
The pattern in the given sequence is that every second number is the square of the previous number. Starting with 25, the next number is 5, which is the square root of 25. Then, 36 is the square of 6. Similarly, 81 is the square of 9. Therefore, the next number in the sequence would be 11, which is the square root of 121.

Explanation
The given sequence follows a pattern where each term is obtained by multiplying the previous term by 2 and then subtracting 1. Starting with 1, the next term is 1 * 2 - 1 = 1. Then, 3 * 2 - 1 = 5. Continuing this pattern, the next term would be 19 * 2 - 1 = 37. Therefore, the correct answer is 42.

Explanation
The given series is a geometric progression with a common ratio of 2. Each term is obtained by multiplying the previous term by 2. Starting with 4, the next term would be 4 * 2 = 8, then 8 * 2 = 16, and so on. Therefore, the next term in the series would be 64 * 2 = 128.

Explanation
The pattern in the given sequence is that the first number is multiplied by 5 and then 3 is added to it to get the second number. The second number is then multiplied by 3 and 5 is added to it to get the third number. The third number is multiplied by 5 and 3 is added to it to get the fourth number. Following the same pattern, the fourth number 2115 is multiplied by 3 and 5 is added to it, resulting in 2115*3 + 5 = 6340. Therefore, the missing number is 6340.

Explanation
The pattern in the given sequence is that each number is obtained by multiplying the previous number by a certain factor and then adding a constant value. In this case, the factor is 1.5 and the constant value is 5. Starting with 15, we have 15 * 1.5 + 5 = 25, 25 * 1.5 + 5 = 30, 30 * 1.5 + 5 = 50, 50 * 1.5 + 5 = 60, and so on. Therefore, the next term in the sequence will be 100 * 1.5 + 5 = 155.

Explanation
The given sequence alternates between adding 4 and subtracting 3. Starting with 1, we add 4 to get 5, then subtract 3 to get 2, and so on. Therefore, the missing numbers in the sequence would be obtained by adding 4 to 4 and subtracting 3 from 8, resulting in 8 and 5 respectively.

Explanation
The pattern in the given sequence is an alternating pattern. The first number increases by 5, then the next number decreases by 2, and this pattern repeats. Starting with 28, we add 5 to get 33, then subtract 2 to get 31, then add 5 to get 36. Following this pattern, the next number should be 34, as we add 5 to the previous number 31.

Explanation
The given sequence follows a pattern where each number is obtained by subtracting a specific number from the previous number. In this case, the pattern is subtracting 32 from the previous number. Starting from 58, subtracting 32 gives 26, then subtracting 10 gives 16, subtracting 2 gives 14, and so on. Therefore, the next number in the sequence would be obtained by subtracting 32 from 14, resulting in 10.

Explanation
The given sequence alternates between adding 3 and subtracting 9. Starting with -2, we add 3 to get 1, then subtract 9 to get -8, then add 3 to get -5, then subtract 9 to get -14, and so on. Therefore, the missing number in the sequence is obtained by adding 3 to the previous number, which is -6. Adding 3 to -6 gives us -3. Hence, the correct answer is -3.

Explanation
The given sequence is a series of perfect squares, starting from 1 and increasing by 1 each time. The next perfect square in the sequence would be 36, as it follows the pattern of the previous numbers.

Explanation
The given sequence is formed by multiplying each number by the next consecutive number. Starting with 1, we have 1 * 2 = 2, then 2 * 3 = 6, then 6 * 4 = 24, and so on. Therefore, the next number in the sequence would be 120 * 6 = 720.