1. What number comes next in the pattern? 2, 6, 12, 20, 30, 42 a) 36 b) 40 c) 42 d) 44 2. Which is the odd one out? a) 121 b) 144 c) 169 d) 152 3. Which one is not a shape? a) Circle b) Triangle c) Square d) Spoon 4. Which letter comes next? Z, X, V, T, Y a) Q b) R c) S d) P
Answer (1)
Let's break down each question one by one:
What number comes next in the pattern? Given the sequence: 2, 6, 12, 20, 30, 42, let's identify the pattern:
The differences between consecutive numbers are: 6 − 2 = 4 , 12 − 6 = 6 , 20 − 12 = 8 , 30 − 20 = 10 , 42 − 30 = 12 .
These differences (4, 6, 8, 10, 12) increase by 2 each time, suggesting the next difference should be 14.
Adding 14 to the last number in the sequence (42), we get 42 + 14 = 56 . Therefore, the next number is 56.
However, the given options don't include 56, so it seems there's an error in the options provided.
Which is the odd one out? The numbers provided are: 121, 144, 169, 152.
121 is 1 1 2 , 144 is 1 2 2 , 169 is 1 3 2 , which are all perfect squares.
152 is not a perfect square.
Therefore, the odd one out is d) 152 .
Which one is not a shape? Options given: Circle, Triangle, Square, Spoon.
A circle, triangle, and square are all geometric shapes commonly studied in geometry.
A spoon is an object, not a geometric shape.
Thus, the answer is d) Spoon .
Which letter comes next? Sequence: Z, X, V, T, Y.
This is a pattern in the reverse order of the alphabet: Z, X, V, T. Each step skips one letter backward: Z is followed by X (skipping Y), X by V (skipping W), and V by T (skipping U).
The final letter given, Y, doesn't fit this pattern, so let's clarify. Continuing the pattern: T should be followed by an S (one step back, skipping R).
However, Y disrupts the pattern, so if we assume each letter is meant to skip one in the reverse, the logical pattern should continue with R after S, but that does not fit normal sequencing. This seems to contain a mix-up but based on T directly:
Therefore, assuming Y fits hypothetically as additional choice post-T, R seems most logical. Choosing b) R fits alphabetically in sequential logic of positioning.
