Q1. In a kilometre race, if A gives B a 40 m start, A wins by 19 s. But if A gives B a 30 s start, B wins by 40 m. Find the time taken by B to run 5,000 m? a.15 0 s b. 450 s c.750 s d. 825 s
A dice is rolled such that the prob. of getting an 'i' on the dice is proportional to 'i'. This dice is rolled thrice, The probability of getting a product of 15 is
10/1029
14/1029
16/1029
18/1029
Another 1.. pls share the approach !!
Saral and Abhishek start simultaneously from a point on a circular track in the same direction at uniform speeds of 'x' km/hr and 'y' km/hr respectively. They meet for the first time when Saral is in his third round. Which of the following cannot be the value of x : y?
a11 : 7
b9 : 5
c11 : 5
d13 : 7
The percentage of acid in three solutions form a geometric progression. If we mix the first, the second and the third solutions in the ratio 3 : 2 : 1, we get a solution containing 22% acid. On the other hand, if we mix the solutions in the ratio 2 : 3 : 4 by weight, we obtain a solution containing 32% acid. Find the percentage of acids in each solution.
16%, 32%, 48%
27%, 9%, 3%
12%, 24%, 48%
32%, 18%, 12%
A teacher wanted to administer a multiple choice (each question having six choices) based quiz of high difficulty levelto a class of sixty students. The quiz had sixty questions. The probability of selecting the correct answer for a goodstudent and a brilliant student was 0.2 and 0.25 respectively. The poor students had no learning advantage. The teacherdid not want students to cheat but does not have time and resources to monitor. All students were seated serially in 10rows and 6 columns.
1. Is it possible for the teacher to detect cheating without monitoring? Choose the statement that best describesyour opinion:
A. It is not at all possible; teacher will have to introduce technology if there is no human support.
B. It is always possible; but teacher has to calculate the exact answer.
C. It is possible when many students sitting next to each other have the same incorrect answers for multiplequestions. However, there can be a small error in judgment.
D. It is possible when many students sitting next to each other have the same correct answers for multiplequestions. However, there can be a small error in judgment.
E. It is possible only for poor students but not for good and brilliant students. However, there can be a small errorin judgment.
2. Three good students were seated next to each other. What is the probability of them havingthe same incorrect choice for four consecutive questions?
A. 256/390625
B. 256/3125
C. 4/3125
D. 1/3125E.
Cannot be calculated
This is XAT 2013 question. The answers of coaching institutes differ widely.
Time cl tf PT
1. C C C C
2. E NONE OF OPTIONS E C
ANS FOR 2. IS SO DIFFERENT. CAN ANYONE SOLVE THE QUESTIONS WITH EXACT REASONING !!!!!!!!!!!!!!!!!!!
In a 400 metres race, A gives B a start of 5 seconds and beats him by 15 metres. In another race of 400 metres, A beats B by 71/7seconds. Find their speed (in m/s).
7, 5
8, 6
8, 7
7, 6
None of these
A train leaves Delhi at 6 a.m. and reaches Agra at 10 a.m. Another train leaves Agra at 8 a.m. and reaches Delhi at 11.30 am. At what time do the two trains cross each another?
8 : 30 a.m.
8 : 56 a.m.
9 : 26 a.m.
9 a.m.
Cannot be determined
hOw many ways 6 different ball can be put in 9 different boxes?
A Formula One driver covers some distance at the speed of 60 mph. With what speed should he return so that his average speed of the total journey comes out to be 120 mph?
180 mph
120 mph
150 mph
250 mph
Not possible
The speed of two trains is 30 m/s and 35 m/s. They cross each other in 6 sec, if they travel in opposite direction. How much time does it take for the faster train to overtake the slower train?
30 sec
35 sec
60 sec
66 sec
78 sec
The speed of two trains is 30 m/s and 35 m/s. They cross each other in 6 sec, if they travel in opposite direction. How much time does it take for the faster train to overtake the slower train?
30 sec
35 sec
60 sec
66 sec
78 sec
f f is a function, such that f (0) = 2, f (1) = 3 and f (x + 2) = 2 f (x) – f (x + 1), then f (5) =
1. 7
2. 13
3. – 7
4. – 3
5. 15
A train going from C to D stops at 9 intermediate stations. 6 persons enter the train during the journey with 6 different tickets of the same class.How many different sets of tickets would they have??
A square plot of side 300 metres is divided into a pentagon and two congruent trapeziums by joining the centre of the square plot with the mid-point of one side and two other points on the adjacent sides. If the areas of each of the regions so formed are equal, what is the length of the longer of the parallel sides of the trapezium?
A)225 m
B)180 m
C)250 m
D)150 m
A bag containing 6 balls, has at least one blue and at least one white ball. It is not known whether the bag has balls of any other colour/s. Two balls are drawn at random and it is found that one ball is blue and the other is white. What is the probability that the bag contains 3 blue and 3 white balls?
A)12.5%
B)6.66%
C)50%
D)33.33%
The 4th degree polynomial equation p(x)=x^4 - 2x^3 + 3x^2 - 4x +5 = 0 has
atleast one real root
no real root
two real roots
all real roots
Let g(x) be a function such that g(x+1) + g(x-1) = g(x) for every real x. Then for what value of p is the relation g(x+p)= -g(x) necessarily true for every real x??
5
3
2
6
Let f(x)=0 be the polynomial equation of the least possible degree with rational coefficients. One of hte roots of this equation is rt(7) + 49^(3/2). What is the product of all the roots of f(x)=0??
21
35
42
56
If f(x) is a real valued function and f{x+f(y)}=x+f(y). Then f(100) is
100
1000
10000
100000
How many values of p(p>1) satisfy the following equation:
log(2,p).log(4,p).log(6,p)=log(2,p)log(4,p)+log(4,p).log(6,p)+log(2,p).log(6,p)??
log(x,y)=log(base,mantissa)