Mathematics NDA/NA SOLVED PAPER 2017 (II) (01 to 50)Total Questions: 501. If x + log₁₀ (1 + 2ˣ) = x log₁₀ 5 + log₁₀ 6 then x is equal to:(a) 2, -3(b) 2 only(c) 1(d) 3Correct Answer: (c) 1Solution:2. The remainder and the quotient of the binary division (101110)₂ ÷ (110)₂ are respectively:(a) (111)₂ and (100)₂(b) (100)₂ and (111)₂(c) (101)₂ and (101)₂(d) (100)₂ and (100)₂Correct Answer: (b) (100)₂ and (111)₂Solution:3. The matrix A has x rows and x + 5 columns. The matrix B has y rows and 11 - y columns. Both AB and BA exist. What are the values of x and y respectively?(a) 8 and 3(b) 3 and 4(c) 3 and 8(d) 8 and 8Correct Answer: (c) 3 and 8Solution:4. Answer the following question?(a) P + Q(b) 2P + 3Q(c) 2Q(d) QCorrect Answer: (d) QSolution:5. Find the answer of given question?(a)(b)(c)(d)Correct Answer: (b)Solution:6. If E is the universal set and A = B ∪ C, then the set E − (E − (E − (E − (E − A)))) is same as the set?(a) B′ ∪ C′(b) B ∪ C(c) B′ ∩ C'(d) B ∩ CCorrect Answer: (c) B′ ∩ C'Solution:7. If A = {x : x is a multiple of 2}, B = {x : x is a multiple of 5} and C = {x : x is a multiple of 10}, then A ∩ (B ∩ C) is equal to?(a) A(b) B(c) C(d) {x x: is a multiple of 100}Correct Answer: (c) CSolution:8. Find the answer of given question?(a)(b)(c)(d)Correct Answer: (b)Solution:9. If |a| denotes the absolute value of an integer, then which of the following are correct?1. |ab| = |a||b| 2. |a + b| ≤ |a| + |b| 3. |a − b| ≥ |a| − |b| Select the correct answer using the code given below(a) 1 and 2 only(b) 2 and 3 only(c) 1 and 3 only(d) 1, 2 and 3Correct Answer: (d) 1, 2 and 3Solution:All the given three options are correct.10. How many different permutation can be made out of the letters of the word ‘PERMUTATION’?(a) 19958400(b) 19954800(c) 19952400(d) 39916800Correct Answer: (a) 19958400Solution:Submit Quiz12345Next »