TEST - 12 - MATHS & SCIENCE (ENG)

Which is a well-defined set?

• Tall students of Class IX
• Prime numbers between 50 and 70
• Beautiful paintings in the gallery
• Large rivers of India

Let A be the set of distinct letters in “CZECHOSLOVAKIA”. Then n(A)=

• 9
• 10
• 11
• 12

If |P(A)|=256, then |A|=

• 6
• 7
• 8
• 9

The number of proper subsets of a 6-element set is

• 62
• 63
• 64
• 65

If A={x∈N|x<10,x even}, then A∩{3,4,5,6}=

• {4}
• {6}
• {4,6}
• {3,5}

In U={1,…,30}, A=multiples of 3 and B=multiples of 5. Then n(A'∩B)=

• 2
• 3
• 4
• 5

If n(U)=100, n(A)=60, n(B)=70, n(A∩B)=40, then n(A'∪B')=

• 40
• 50
• 60
• 70

Let T=triangles, R=right-angled, I=two equal sides. Then T∩R∩I is the set of

• equilateral triangles
• isosceles triangles
• isosceles right triangles
• right triangles

Which identity is correct?

• (A∪B)'=A'∪B'
• (A∪B)'=A'∩B'
• (A∩B)'=A'∩B'
• (A\B)'=A'\B'

The complement of A\B (w.r.t. U) equals

• A∪B
• A'∪B
• A∩B'
• A'∩B