Practice ECAT questions with answers and explanations.
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Since 32 = 2⁵, the exponents must be equal.
Therefore, x = 5.
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A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.
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For a triangle, the sum of any two sides must exceed the third.
Here 4 + 7 = 11, which is less than 12.
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The logarithm asks what power of 10 gives 1,000.
Since 10³ = 1,000, the answer is 3.
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A rhombus is defined by four equal sides.
Its angles need not be right angles.
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The logarithmic equation means x = 2⁶.
Thus, x = 64.
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Under the common school definition, a trapezium has one pair of parallel sides.
Parallelograms have two pairs.
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The common difference is 4.
Adding 4 to 19 gives 23.
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The sum is (n - 2) × 180°.
For n = 5, this is 3 × 180° = 540°.
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The nth term is a + (n - 1)d.
Thus, 3 + 9 × 4 = 39.
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The total interior angle sum is 720°.
Dividing by 6 equal angles gives 120°.
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Each term is multiplied by 2.
Thus, 24 × 2 = 48.
