*Since topic of surds has been brought up* Find the integer part of (√7+√6)^6.
*Looks like typical CAT question where you have multiple concepts at play! * If the roots of 3x^3+ px^2+qx-4 are the side length, inradius of incircle and circumradius of the circumcircle of the same equilateral triangle, then find p and q.
A spider is at one corner of a cuboidal room of dimensions 20m by 11m by 10m. Find the minimum distance the spider needs to crawl along the faces of the room to get hold of the ant.
Data Sufficiency Question:
Find the ratio of the perimeters of the regular hexagon and the rectangle.
St 1: The areeas of hexagon and rectange are equal, with one of the dimensions of the rectangle being equal to the side of the hexagon.
St 2: The length of rect, breadth of rect and side of hexagon are in the ratio: 2:1:3
Seven people, A, B, C, D, E, F and G can sit down for a meal at a round table as shown. Each person has two neighbours at the table: for example, A's neighbours are B and G. There are other ways in which the people can be seated round the table. Last month they dined together on a number of occasions, and no two of the people were neighbours more than once. How many meals could they have had together during the month?
Rectangular tiles each of size 60cm by 40cm must be laid horizontally on a rectangular floor of size 120cm by 170cm, such that the tiles do not overlap. A tile can be places in any orintation as long as its edges are parallel to the edges of the floor. No tile should over shoot any edge of the floow. The maximum number of tiles that can be accomodated on the floor is?
It is a easy one.. I have a doubt ppost solving this.
A solid sphere is cut into 8 identical pieces by three mutually perpendicular cuts. By what percentage is the sum of the total surface area of the eight pieces more than the total surface area of the original sphere?
Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometres as the second and the second as many kilometres as the first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida.
(a) 5 km (b) 15 km (c) 25 km (d) 35 km
At a 10,000 m race, The Flash starts first and is followed later by Bolt. The speed of Bolt is 1 m/s more than that of The Flash’s. When Bolt catches up with The Flash, The Flash increases his speed by 2 m/s, while that of Bolt remains unchanged. As a result, Bolt finishes 7 min 8 s after The Flash. If the distance had been 500 m more, then Bolt would have finished 7 min 33 s after The Flash. The time gap between the start of The Flash and Bolt is a. 2 min b. 2.5 min c. 3 min d. 1 min Pls share the approach too
2 persons X and y ,start together from same point and run on a 4km circular track in race of 16km. and ratio of their speed is 3:7 Find no.of meetings??
The arithmetic mean of a set of numbers was calculated as 24. However, the frequency of one of the numbers was erroneously taken as 6, instead of 9. As a result, the arithmetic mean calculated was 5 less than the actual mean. If all the numbers in the set are integers, then which of the following could be the sum of all frequencies?
WIMCO employs a total of 75 units to make coir products for export. The total monthly revenue from all the units is Rs.10,00,000. The total manufacturing cost and the total overheads (both of which vary with the number of units working) for all the units are Rs.1,50,000 and 1,00,000 every month respectively. If, in one month, the total profit reduced by Rs.35,000, how many units, on an average, were not working everyday during that month?
This year, during the months of January and February, each day Ramu went to a fruit shop and bought exactly three varieties of fruits, such that for any two days, he bought at least one variety of fruit on one of the days that was different from what he bought on the other day. What is the minimum number of different varieties of fruits that he could have bought during that period?
A dishonest seller uses a weight of 700 gm in place of 1 kg and adds 15% impurities in pulse. What would be his profit percentage if he claims to be selling at cost price? My approach is: 700gm for 1000 gm so 42.85 here.. And 15% impurities amounting to 105 impure.. so profit percent here is 105/595 *100 = 17.64.. Overall Profit = successive of both the rates amounting to 68.04.. But the answer says 64.xx.. Where am I wrong??
A police officer spots a thief who is riding a bike at a constant speed of 20 m/s. The moment when the officer spots the thief, the thief is 300m away from the police. The officer immediately starts chasing the thief, from rest, in a car. The speed of the car varies linearly with time. It is known that the officer covered 5m between the 2nd and 3rd second of the chase. In what time will he catch the thief. Speed is the rate of change of distance with respect to time.
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Did the reservation seats increase this time or was it 59.5% last year as well?