A circle circumscribes a square. What is the area of the square?
(i) Radius of the circle is given
(ii) Length of the tangent from a point 5-cm away from the center of the circle is given
Two concentric circles C1 and C2 with radii r1 and r2 . The circles are such that C1 fully encloses C2 , then what is the radius of C1 ?
(i) The difference of their circumference is k cm
(ii) The difference of their areas is m sq. cm
There are four racks numbered 1,2,3,4 and four books numbered 1,2,3,4. If an even rack has to contain an odd numbered book and an odd rack contains an even numbered book then what is the position of book 4?
(i) Second book has been put in third rack
(ii) Third book has been put in second rack
Find the value of X in terms of a?
(i) Arithmetic mean of X and Y is ‘a’ while the geometric mean is also ‘a’
(ii) X/Y = R;X -Y = D
There are four envelopes E1 , E2 , E3 , E4 in which one was supposed to put letters L1 , L2 , L3 , L4 meant for persons C1 , C2 , C3 , C4 , respectively but by mistake the letters got jumbled up and went in wrong envelopes. Now if C2 is allowed to open an envelope at random, then how will he identify the envelope containing the letter for him?
(i) L2 has been put in E1
(ii) The letter belonging to C3 has gone in the correct envelope
In a group of 150 students, find the number of girls?
(i) Each girl was given 50 paise, while each boy was given 25 paisa to purchase goods totalling Rs 49
(ii) Girls and boys were given 30 paisa each to buy goods totaling Rs 45
What is value of a?
(i) Ratio of a & b is 3:5 where b is positive
(ii) Ratio of 2a and b is 12/10 where a is positive
What is the price of tea?
(i) Price of coffee is Rs.5 more than that of tea
(ii) Price of coffee was Rs 5 less than the price of a cold drink which cost three times the price of tea
Radha and Rani appeared in an examination,. What was the toal number of questions?
(i) Radha & Rani together solved 20% of the paper
(ii) Radha alone solved 3/5th of the paper solved by Rani.
Find 2 ⊗ 3 , where 2 ⊗ 3 need not be equal to 3 ⊗ 2
I. 1 ⊗ 2 = 3
II. a ⊗ b = (a+b)/a, where a and b are positive
Is n odd?
(i) n is divisible by 3, 5, 7 and 9
(ii) 0 < n < 400
Find the length of AB? If ∠YBC = ∠CAX = ∠YOX = 90°
(i) Radius of the Arc is given
(ii) OA = 5