A police patrol party travelling at 60 kmph crosses an escaping thief travelling in the opposite direction at 48kmph. The police party had to travel for a further 5 minutes before it can find a gap in the median where it can take a U turn and start chasing the thief. After how much time after the police party crosses the thief does it catch they him?
In a running race Sunil gives Adam a headstart of 350m and still beats him by 70m. If Sunil's speed is 11/4 times Adam's speed. What is the length of the race?
A man travels at 30kmph and reaches the office in time. One day he starts 20 minutes late still reaches office in time by travelling at 45kmph. What is the distance between his house and office?
highest power of 2 in 10!+11!+12!+....................................1000!
1.8
2.7
3.9
410
Plz answer Q. 8 ,9 , 10... along with the explanations.. in question number 8 plz dnt solve using the multiplication method.. if there is a shorter way .. plz mention it..in question 9 and 10 .. i need the trick.. 😞
Thank you 😃
16 white and 4 red balls that are not identical are distributed randomly into 4 boxes which contain at most 5 balls. What is the probability that each box contains exactly 1 red ball?
Let C be a point on a straight line AB. Circles are drwan with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then -
- QC= 1/2 PB
- QC is never Parallel to PB
- QC is parallel to PB and QC = 1/2 PB
- QC is parallel to PB
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In regular octagon ABCDEFGH, diagonal AF=1. Find AB.
X cows and Y goats together yield L litres of milk, which is sold for R rupees. If 4 goats yield as much milk as 1 cow, how many goats will yield milk of the value of 7 R rupees?
28 X + 7Y
28 X
28 Y
7 Y
A natural number x is chosen at random from the first 150 natural numbers. What is the probability that x + 100/x> 50?
1/25
17/25
11/20
Rosy found that her kite could fly at three times the speed of the wind. She traced 138 km upwind in one hour less than it took her to fly 368 km downwind. How fast her kite fly in still air?
if x= 1+a+a^2+a^3............ |a|y= 1+b+b^2+b^3......... |b|then find 1+ab+a^2*b^2+a^3*b^3.........
a> x+y/x+y-1
b>xy/x+y
c> xy/x+y-1
d> none
If the harmonic mean and geometric mean of two numbers are in the ratio 24 : 25, find the ratio of the numbers.
2/3, 3/2
4/3, 3/4
4/9, 9/4
16/9, 9/16
A box contains five blocks numbered 1, 2, 3, 4 and 5. Johnnie picks a block and replaces it. Then Lisa picks a block. What is the probability that the sum of the numbers they picked is even?
The ratio of factorial of 1.5 times a number to the square of the factorial of that number is 1.25. The number is
4
6
8
10
Hey guys can anyone help me this question. Find the remainder when 51^203 is divided by 7.
my approach: 51= ((49+2)^203)/7
leads to ((2^203))/7
to (2)(7+1)^200/7 = 2 . i know i am missing something can someone point out my error 😃 thanks
Let N be the smallest positive integer with six positive odd integer divisors and twelve positive even intiger divisors. find the sum of digits on N?
1) 18
2) 9
3) 27
4) 15
don,t know the OA 😐
can anyone suggest me 5 good colleges under mat!!
The length, breadth and height of a cuboid are given by unique linear functions L(x), B(x) and H(x) respectively (Here, 'x' is a real number).
The volume of this cuboid is given by the cubic function V(x) = – x^3 – 4x^2 + 31x + 70.
Which of the following values of 'x' is permissible?
(1) 7
(2) – 3
(3) – 8
(4) 6
(5) 4
How many 6-letter sequences are there which use only A, B, C (and not necessarily all of those), with A never immediately followed by B, B never immediately followed by C, and C never immediately followed by A?
1)96
2)72
3)108
4. None of these