Two classes X and Y consist of american and Russian students.each american in class X has 5 times the number of americans as classmates as russians.In class Y each american has five times the number of russians as classmates as americans.Every russian in class X has 7 times the number of americans as classmates as he has russians as classmates.Class X and class Y have the same number of students.
1. How many students are there in class Y?
2. The ratio of the total number of americans to that of the russians in the two classes is?
Rohit always starts driving on a road exactly at 8am. If he drives at 50 km/h, he is late at work. If he drives at 58km/h, he reaches early by the same time he gets late. The speed at which he must drive to get his office exactly on time is --?
Box A has x number of balls where as box B has y number of balls, x and y both are odd numbers and x>y. The smallest number of balls which would have to be moved from box A to box B so that Box B has more balls than box A is ..?
A 51-digit number N consists of fifty x's and one y, where x and y are both digits from among 0 to 9.
1. If x = 2, N is divisible by 17 and y is the 17th digit from the right, y =
(1) 1 (2) 2 (3) 3 (4) 0
2.If N is divisible by 13, x = 3 and y is the ith digit from the left, then i could be
(1) 24 (2) 8 (3) 42 (4) 34 (5) None of these
3. Consider the 51-digit number mi (1 ≤ i ≤ 51) with y in the ith place from the left and an all other digits equal to x. If M4 is divisible by 13, then which of the following must also be divisible by 13?,
(1) M15 (2) M25 (3) M46 (4) M48
4. If (x, y) = (2, 1) and we define Mi as in the previous question, for how many Values of I is Mi is divisible by 17?
The sequence 1, 2, 4, 5, 7, 9, 10, 12, 14, 16, 17,.... has one odd number followed by the next two even numbers, then the next three odd numbers followed by the next four even numbers and so on. What is the 2003rd term of the sequence?
Five +ve integers are listed in increasing order. The difference between any two consecutive integers in the list is 3. The fifth integer is a multiple of first. The number of such different lists of five integers is ----?
Peter had 6 rectangular cardboards of areas 60 sqcm, 60 sqcm, 48 sqcm, 48 sqcm, 80 sqcm and 80 sqcm. Using tape to join the edges he made a cuboid using these cardboards. The minimum length of tape used by peter was
Mark (a) if the question can be answered by one of the statements alone but not by the other.
Mark (b) if the question can be answered by using either statement alone.
Mark (c) if the question can be answered by using both the statements together but cannot be answered using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements I and II.
Q A game consists of tossing a coin successively. There is an entry fee of Rs. 10 and an additional fee of Re. 1 for each toss of coin. The game is considered to have ended normally when the coin turns heads on two consecutive throws. In this case the player is paid Rs. 100. Alternatively, the player can choose to terminate the game prematurely after any of the tosses. Ram has incurred a loss of Rs. 50 by playing this game. How many times did he toss the coin?
I. The game ended normally.
II. The total number of tails obtained in the game was 138.
Mark (a) if the question can be answered by using one of the statements alone but not by using the other statement alone.
Mark (b) if the question can be answered by using either of the statements alone.
Mark (c) if the question can be answered by using both statements together but not by either statement alone.
Mark (d) if the question cannot be answered on the basis of the two statements.
Q5. Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop?