Five different colours have to be painted on the six faces of a cube such that each colour is painted on at least one face and each face has exactly one colour painted on it. Find the number of different ways in which this can be done.
Given the equation 7x2−8x+2=0. Let a and b be the roots of the given equation. Find the value of 1+(a+b)+(a2+b2)+(a3+b3)+... till infinity
Given the equation x3−8x2+ax−30=0. If the product of two roots is 6, find the value of a?
In a sequence of 10000 terms, each term except the first and last term is the sum of its two neighboring terms. If the sum of first two terms is 9, find the sum of first 2000 terms.
no.of ways to put 6 diff coloured balls in 3 identical buckets?
- 4.5
- 4
- 3*2^0.5
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Find the number of ways in which 5 men can watch 4 movies such that each movie is watched by at least one person.
A consignment has 16 voltage stabilizers of which 4 are defective. The voltage stabilizers are selected at random one by one examined. Find the probability that the 10th place is the last defective?
From a book consisting 50 pages, numbered from 1 to 50 , four leaves are torn off. What is the probability that the sum of the numbers on the page that are torn off is 68 ? Not sure about the answer. Approach please
2 consecutive numbers are left while finding the average of first n numbers . the average of numbers is found out to be 105/4. Find the numbers missed out.
Find the greatest power of 140, which can exactly divide the product 101 x 104 x 107 x 110.......(upto 70 terms).
Ans 11. Please explain
Find the 28383rd term of the series :123456789101112.... Please approach...
Amit, Sumit and Pritam have been put on a training schedule at NDA, where each of them has to carry a sack of wheat from the store to their canteen. They carry out this process repeatedly and since each of them have different stamina, they take 15, 30 and 45 minutes respectively to go from the store to the canteen while they take 15 minutes each to return to the store. If all the three start at the store at 4:00 a.m. and continue without a break until noon, how many times (including the 1st) are all the three together at either the store or the canteen?
If you formfrom a subset of integers chiosenchosen frfrom between 1-3000,such that no two integers add up to a multiple of nine, what can be the maximum number of elements in the subset. ( include both 1&3000) ans 1336 approach please..
A triangular number is defined as a number which has the property of being expressed as a sum of consecutive natural numbers starting with 1 . how many triangular numbers less than 1000,have the property that are the difference of squares of two consecutive natural numbers?? Ans 70. Please explain
Does anyone here have their CAT center in Ghousia Engineering College in Ramnagara? Get in touch, we can pool a cab.
P.S :Sorry if this is not the right forum.
A person buys 18 local tickets for Rs.110. Each first class ticket costs Rs.10 and each second class ticket costs Rs.3. What will another lot of 18 tickets cost in which the number of first class and second class tickets are interchanged?
1) 112
2) 118
3) 121
4) 124
There are 3 bags each containing some blue and pink balls only. Bag 1 contains 3 pink and 1 blue ball, bag 2 contains 2 pink and 5 blue balls, bag 3 contains 5 pink and 4 blue balls . 2 balls r drawn at random (with replacement ). what is the prob that the 2 balls drawn are at least one and one pink ?
Three diggers dug a ditch 324 m deep in 6 days working simultaneously. During one shift, the third digger digs as many more meters more than the second as the second digs more than the first. The third digger's work in 10 days is equal to the first digger's work in 14 days. How many meters does the first digger dig per shift? 1) 15m 2) 18m 3) 21m 4) 27m
##arithmetic##
3 vessels having volume in the ratio 1:2:3 are full of mixture of coke(coca-cola waala ) and soda. In the first vessel, ratio of coke and soda is 2:3, in the second 3:7 and in the third 1:4 If the liquid in all 3 vessels were mixed in a bigger container, what is resulting mixture of coke and soda? 1) 4:11 2) 5:7 3) 7:11 4) 7:5
In how many ways can the letters of the English alphabet be arranged so that there are 7 letters between the letters A and B?