solve
How many integers between 1 and 1000 have exactly 27 positive divisors
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What is Remainder of 38!/43???
Two persons start cycling simultaneously towards each other from point a and b , which are 28 km apart ,after an hour later they meet and keep pedalling with the same speed without stopping. the second person arrives at b 35 minutes later than the first arrives at a.
Find the speed of cyclist who started at b ?
Sharat is walking down a descending escalator and takes 40 steps to reach the bottom. Chandra starts simultaneously from the bottom, taking two steps for every one step taken by Sharat. Time taken by Sharat to reach the bottom from the top is same as the time taken by Chandra to reach the top from the bottom.
How many steps more than Sharat did Chandra take before they crossed each other on the escalator?
What is the possible number of ways to select 3 numbers from the first 15 natural numbers, such that the selected numbers are in AP ?
1. 36
2. 42
3. 24
4. 45
5. 49
A rubber band is 4 metres long, a insect begins to crawl from the left end of the rubber band . Every minute the insect crawls 1 meter along the rubber band towards the other end of the rubber band, but the rubber band gets stretched (uniformly) by 1 meter .
For what value of n will the insect reach the other end of the rubber band during the n th minute?
a) 6
b) 8
c) 7
d) 9
e) 11
if 4^log(base9)3+9^log(base2)4=10^log(base x))83, x belongs to R, how many values can x take?
a) 0
b)3
c)2
d) none
Find the remainder when 24^60 + 60^24 is divided by 84.
0
36
48
72
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Status: Correct
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Can three sticks of length 'a', 'b' and 'c' form a triangle?I. 'a' is the Arithmetic Mean of 'b' and 'c'II. 'a' is the Geometric Mean of 'b' and 'c'
aThe question can be answered using one of the statements alone but not using the other alone.
b The question can be answered using any of the statements alone.
c The question can be answered using both the statements together but not using either statement alone.
d The question cannot be answered even by using both the statements together.
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Status: Correct
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XAT prep: In second year, students at a business school can opt for Systems, Operations, or HR electives only. The number of girls opting for Operations and the number of boys opting for Systems electives is 37.Twenty-two students opt for operations electives. Twenty girls opt for Systems and Operations electives.The number of students opting for Systems electives and the number of boys opting for Operations electives is 37. Twenty-five students opt for HR electives.
Q1. The number of students in the second year is ___?
A. 73
B. 74
C. 76
D. 53
E. 54
Q2. If 20% of the girls opt for HR electives, then the total number of boys in the second year is ___?
A. 50
B. 52
C. 51
D. 53
E. 54
XAT prep: ABCD is a rectangle with AD = 10. P is a point on BC such that ∠ APD = 90°. If DP = 8 then the length of BP is ___?
A. 6.4
B. 5.2
C. 4.8
D. 3.6
E. None of the above
How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'?
How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'?
There are how many zero at the end of(51! + 52! + 53! + 53!)^1000 ??
Function f is defined for all natural numbers as:-f(x + 1) = {1 + f(x)}/{1 - f(x)} and f(1) = 2
Compute f(2005)
What will be the largest prime factor of (25!)³ - (24!)³ ?
RP and RQ are tangents to a circle at P and Q. T is a point on circle on major arc PQ, PTQ=22 deg. If radius is 6 cm. Find distance between centre of circle and incentre of triangle RPQ.
In ABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of DOF to the area of DOE? 1. 8:9 2. 9:8 3. 3:4 4. 4:3