Test Codes: SIA (Multiple Choice Type) and SIB (Short Answer Type ...

Sample Questions for SIAGroup AThe following questions have exactly one correct option. Identify it.1. The last digit of (2137) 754 is(A) 1, (B) 3, (C) 7, (D) 9.2. The sum of all distinct four digit numbers that can be formed usingthe digits 1, 2, 3, 4, and 5, each digit appearing at most once, is(A) 399900, (B) 399960 (C) 390000 (D) 360000.3. The coefficient of a 3 b 4 c 5 in the expansion of (bc + ca + ab) 6 is( (12!6 6(A)(B) 3!, (C) 33, (D) 3 .3!4!5!3)3)4. If log 10 x = 10 log 100 4 then x equals(A) 4 10 , (B) 100, (C) log 10 4, (D) none of the above.5. Let ABCD be a unit square. Four points E, F , G and H are chosenon the sides AB, BC, CD and DA respectively. The lengths of thesides of the quadrilateral EF GH are α, β, γ and δ. Which of thefollowing is always true?(A) 1 ≤ α 2 + β 2 + γ 2 + δ 2 ≤ 2 √ 2.(B) 2 √ 2 ≤ α 2 + β 2 + γ 2 + δ 2 ≤ 4 √ 2.(C) 2 ≤ α 2 + β 2 + γ 2 + δ 2 ≤ 4.(D) √ 2 ≤ α 2 + β 2 + γ 2 + δ 2 ≤ 2 + √ 2.6. The set of all real numbers x satisfying the inequality x 3 (x+1)(x−2) ≥0 is(A) the interval [2, ∞),(B) the interval [0, ∞),(C) the interval [−1, ∞),(D) none of the above.7. z 1 , z 2 are two ∣ complex numbers with z 2 ≠ 0 and z 1 ≠ z 2 and satisfyingz 1 + z 2 ∣∣∣∣ = 1. Then z 1isz 1 − z 2 z 22