The conjugate complex number of (2-i)/(1-2i)2 is
Solution: (2-i)/(1-2i)2 = (2-i)/(1-4i-4) = (2-i)/(-3-4i) = (-2+i)/(3+4i) Multiply numerator and denominator with (3-4i) => (-2+i)(3-4i)/(3+4i)(3-4i) = (-6+3i+8i+4)/(9+16) = (-2+11i)/25... View Article
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Which three-dimensional figure has 5 faces, 8 edges, and 5 vertices?
(a) cube (b) cylinder (c) rectangular pyramid (d) cuboid Solution: A rectangular pyramid has 5 faces, 8 edges, and 5... View Article
Convert 180 minutes to hours.
Solution: We know 60 minutes = 1 hour To convert minutes into hours, divide by 60. 180 minutes = 180/60... View Article
Find the missing term 9, 17, 19, 27, 29, ___ , 39.
(a) 37 (b) 37.5 (c) 38 (d) 38.5 Solution: 8 is added to the first number. Then 2 is added... View Article
State whether the following statements are true or false:
(i) 1 ∈ {1, 2, 3} (ii) {a} ⊂ {b, c, a} (iii) a ∈ {a, b, c} (iv) {a,b}... View Article
Which of the following is greater than 1000.01?
(a) 0.0010001 × 107 (b) 0.00001 × 108 (c) 1.1 × 102 (d) 1.00001 × 103 Solution: 0.00010001 × 107... View Article
On a school picnic, a group of students agrees to pay equally for the use of a full boat and pay Rs 10 each. If there had been 3 more students in the group, each would have paid Rs. 2 less. How many students were there in the group?
Solution: Let the number of students in the group be x. Total cost if each student pay Rs.10 = 10x... View Article
If 1/a + 1/b = 1/c and ab = c, what is the average (arithmetic mean) of a and b?
(a) 0 (b) 1 (c) 1/2 (d) 2 Solution: Given 1/a + 1/b = 1/c ..(i) ab = c …(ii)... View Article
The prime number that comes just after 47 is
(a) 57 (b) 53 (c) 49 (d) 51 Solution: A prime number is a number that has only two factors,... View Article
In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects, find the total number of students.
(a) 350 (b) 400 (c) 450 (d) 500 Solution: Let x be the total number of students. Let n(A) denotes... View Article
Give a proper fraction :
(a) whose numerator is 5 and denominator is 7. (b) whose denominator is 9 and numerator is 5. (c) whose... View Article
The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find Priyanka’s present age.
(a) 14 (b) 26 (c) 20 (d) 8 Solution: Let x be the age of Deepika. Then age of Priyanka... View Article
405 toffees are distributed equally among children in such a way that the number of toffees received by each child is 20% of the total number of children. How many toffees did each child get?
(a) 9 (b) 45 (c) 18 (d) 15 Solution: Number of toffees = 405 Let x be the number of... View Article
Identify like terms in the following.
-xy2, -4yx2, 8x2, 2xy2, 7y, -11x2, -100x, -11yx, 20x2y, -6x2, y, 2xy, 3x. Solution: Like terms are terms that have... View Article
How do you simplify the square root of 0.01?
Solution: A square root of a number is a value that, when multiplied by itself, gives the number. 0.01 =... View Article
Identify the preposition(s) in the following sentences: I sat on the chair near the door.
(a) chair, door (b) on, the, near (c) on, near (d) I Solution: A preposition is a word or group... View Article
What is the total number of whole numbers up to 9999?
(a) 10000 (b) 9999 (c) 98900 (d) 98100 Solution: Whole numbers start from 0. So from 0 to 9999, number... View Article
A cuboid has length 15 feet, breadth 12 feet, and height 10 feet. Find the total surface area of the cuboid.
Solution: Given length of cuboid = 15 feet Breadth = 12 feet Height = 10 feet Total surface area =... View Article
Find the simple interest on Rs. 4000 at 7.5% p.a. for 3 years 3 months. Also, find the amount.
Solution: Given principal, P = Rs. 4000 Rate of interest, R = 7.5% Time, T = 3 years 3 months... View Article
Convert the following decimal to fraction. 1.75
Solution: To convert decimal to fraction, take the given decimal without the decimal point as the numerator. For the denominator,... View Article
