ECAT Mathematics Online Test With Answers

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ECAT Mathematics Online Test

Sr. # Questions Answers Choice
1 The set of first elements of the ordered pairs in a relation is called its domain range relation function
2 If A is a set then any subset R of A x A is called relation on A relation on B relation from A to B relation from B to A
3 If A and B are two sets then any subset R of B x A is called relation on A relation on B relation from A to B relation from B to A
4 If A and B are two sets then any subset R of A x B is called relation on A relation on B relation from A to B relation from B to A
5 The number of subsets of a set having three elements is 4 6 8 none of these
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7
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10 The multiplicative inverse of (a,b) is
11 (x, y) (kx, y) (x, ky) (kx, ky)
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13 x y
14 Every real number is a positive integer a rational number a negative integer a complex number
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16 The product of complex numbers (a,b) and (c,d) is (ac, bd) (ac-bd, ad+bc) (ab,cd) (ac+bd,ad-bc)
17 The sum of complex number (a,b) and (c,d) is
18 1 -1
19 1 -1
20 real part of z imaginary part of z conjugate of z modulus of z
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22 0 1 -1 2
23 real number complex number rational number irrational number
24 additive property multiplicative property additive inverse additive identity
25 additive property multiplicative property additive identity multiplicative identity
26 Name the property used in a (b-c) = ab - ac commutative property of multiplication distributive property of multiplication associative property of multiplication multiplicative inverse
27 Name the property used in 1000 x 1 = 1000 additive inverse multiplicative inverse additive identity multiplicative identity
28 By expressing cos 113° in terms of trigonometrical ratios, answer will be <span style="font-size: 0.95em;">− cos 76° = -0.7093</span> <span style="font-size: 0.95em;">− cos 65° = -0.4258</span> <span style="font-size: 0.95em;">− cos 67° = -0.3907</span> <span style="font-size: 0.95em;">− cos 62° = -0.8520</span>
29 By expressing sin 125° in terms of trigonometrical ratios, answer will be <span style="font-size: 0.95em;">sin 65° = 0.9128</span> <span style="font-size: 0.95em;">sin 55° = 0.8192</span> <span style="font-size: 0.95em;">sin 70° = 0.5384</span> <span style="font-size: 0.95em;">sin 72° = 0.1982</span>
30 Sine rule for a triangle states that <span style="font-size: 0.95em;">a/sin A = b/sin B = c/sin C</span> <span style="font-size: 0.95em;">sin A/a = sin B/b = sin C/c</span> <span style="font-size: 0.95em;">a/sin A + b/sin B + c/sin C</span> <span style="font-size: 0.95em;">2a/sin A = 2b/sin B = 2c/sin C</span>
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