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10% of 15% of 20% of Rs. 500 is

(a) 1.5 (b) 0.5 (c) 3.5 (d) 2.5 Solution: 20% of 500 = (20/100)500 = 100 15% of 20% of 500 = 15% of 100 = (15/100)100 = 15 10% of 15%... View Article

Convert the following ratio into percentage. 22/30

Solution: To convert ratio into percentage, multiply the fraction by 100 and add the % symbol to the result. 22/30 = (22/30)×100%... View Article

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) =>... View Article

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 vertices. Hence option... 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 = 3 hours... 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 to the second number. Then series repeats. 29 + 8... 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} = {a, a, b, b, a} (v) The sets {x: x+8 = 8} is the null... 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 = 1000.1... 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 If 3 more students are there, number of... 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) (i) => (b+a)/ab = 1/c => (a+b)/c = 1/c (since... 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, that is, 1 and the number itself. 53 is the... 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 the number of students passed in English... 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 numerator and denominator add up to... 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 = x+6 Given sum of ages of Priyanka and Deepika is... 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 children. Number of sweets each child will get = 405/x... View Article