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N is an integer and N>2. How many integers, at most among N+2, N+3, N+4, N+5, N+6, N+7 are prime integers?

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TCS Other Question

W,X,Y,Z are integers. The expression X - Y - Z is even and the expression Y - Z - W is odd. If X is even what must be true.
option
A) W must be odd.
B) Y - Z must be odd.
C) Z must be even.
D) Z must be odd.
Kate wanted to buy 2 kgs of apples. The vendor kept the 2 kg weights on the right side and weighed 4 apples for that. She doubted on the correctness of balance and placed 2 kg weight on the left side and she could weigh 12 apples for 2 kgs. If the balance was correct how many apples she would have got