960, 839, 758, 709, ?, 675
1). 696
2). 700
3). 688
4). 678
A rope makes 125 rounds of a cylinder with base radius 15 cm. How many times can it go round a cylinder with base radius 25 cm?
1). 100
2). 75
3). 80
4). 65
Study the following information carefully and answer the question given below:
A, M, P, J, H D and K are seven students of a school. They study in Std. III, IV, and V with at least two in any one standard.Each of them has different choice of colour from blue, red, green, yellow, black, white and brown not necessarily in the same order. M studies in Std. IV with only D who likes red colour. A studies in Std. V and does not like either blue or green. H does not study in Std. V and likes yellow colour. P and J study in the same Std. but not with A. None of these who study in Std.III likes white.The one who likes black studies in Std. IV. J likes brown colour. P does not like blue colour.
In each question below, a group of digits/symbols is given, followed by four combinations of letters numbered (1), (2), (3), and (4). You have to find out which of the combinations (1), (2), (3) and (4) correctly represents the group of digits/symbols based on the following coding system and the conditions those follow and mark the number of that combination as your answer. If none of the four combinations correctly represents the group of digits/symbols, mark (5) i.e.,?None of these? as the answer
Digit/Symbol 5 9 @ ? 3 8 1 $ % 4 2 6 * 7 $$\delta$$ #
Letter Code B E P A K D F H Q I R J U M V T
Conditions
(a) If the first unit in the group is an even digit and the last unit is a symbol, both these are to be coded as the code for the symbol.
(b) If the first unit in the group is an odd digit and the last unit is an even digit, their codes are to the unchanged.
(c) If both the first and the last units in the group are symbols, both these are to be coded as ?X?.
If the numerator of certain fraction increased by 100% and the denominator is increased by 200% the new fraction thus formed is $$\frac{4}{21}$$ What is the original fraction ?
1). $$\frac{2}{7}$$
2). $$\frac{3}{7}$$
3). $$\frac{2}{5}$$
4). $$\frac{4}{7}$$