Two parallel lines have five points and six points each respectively. How many triangles can be formed using these eleven points?
Ravindra and Rekha got married 10 years ago, their ages were in the ratio of 5 : 4. Today Ravindra's age is one sixth more than Rekha's age. After marriage, they had 6 children including a triplet and twins. The age of the triplets, twins and the sixth child is in the ratio of 3 : 2 : 1. What is the largest possible value of the present total age of the family?
A, B and C enter into a partnership by investing Rs 28000, Rs 32000 and Rs 18000. A is working partner and gets a fourth of the profit for this services and the remaining profit is divided amongst the three in the ratio of their investments. What is the amount of profit that B gets if A gets a total of Rs 4995?
Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5:3 and 1:2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4:3. What is the ratio of the composition of the two basic elements in alloy X?
Ajay was supposed to reach Allahabad railway station in a train from Kanpur at 9 AM. His friend, Vijay would meet him at railway station at9 AM and drive him home in a car. However the train reached Allahabad at 7 AM. On reaching Allahabad station, when Ajay called Vijay,he found that Vijay had just left for the station. In the meantime, Ajay took a horse-cart towards Vijay's house. When Ajay was on his way,Vijay met him and drove him back home.They reached at 10 AM. What was the ratio of the distance covered by Ajay in horse-cart to thedistance covered in car? (Assume no time lag between the intermediate activities i.e. reaching Allahabad station, calling Vijay, takinghorse cart & boarding car after meeting Vijay on the way.)
Guys I am appearing CAT for the first time . Could somone please helpo me with when and how shall I apply for non-iim's institutes as well.
In XAT and IIFT work experience section if someone has held multiple positions in the same organizations do we specific each position separately or just the most recent position should be mentioned for the entire organization duration?
There are 98 given points on a circle. Amar, Akbar and Anthony start playing a game by drawing a chord one by one between two of the points which have not yet been joined together. The game ends when all such points have been joined exhaustively. The winner is the one who draws the last chord. If Anthony starts the game, followed by Akbar, and then Amar, then who will win?
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NMAT Questions:
1-Product of sum of two number and their H.C.F is 36. How many such pair exist?
2- How many 7 digits distinct number can be made with 1,2,3,4,5,2,1 if on odd places only odd numbers can be used?
3- A can fill half the tank in 10min and B can fill the 1/5th of the tank in 5 min. A and b are opened for 5 min and then b is turned off. A is open for 15 min more. Find for how much time the tank overflow?
4- A photograph has 5 people standing in a row. No 2 males or females are standing together. the photo has a mother with her son and daughter who are with their spouses. How is the person standing in the left od the middle person related to the person standing in right of the middle person?
5- Find the difference between sum of all even numbers from 1-400 and sum of all odd numbers between 51-180 ?
Raju has forgotten his six-digit ID number. He remembers the following: the first two digits are either 1, 5 or 2, 6, the number is even and 6 appears twice. If Raju uses a trial and error process to find his ID number at the most, how many trials does he need to succeed? (A) 972 (B) 2052 (C) 729 (D) 2051
There are 4 identical oranges, 3 identical mangoes and 2 identical apples in a basket. The number of ways in which we can select one or more fruits from the basket is ?
There are t taps numbered 1, 2 and so on till t, each of which can fill a cistern. The rate of filling of the nth tap is such that it is equal to twice that of all the taps from 1 to (n − 1) put together. If the 18th tap can fill the empty cistern in 2 minutes, then find the time in which the 15th tap alone can fill the empty cistern. (A) 27 minutes (B) 34 minutes (C) 54 minutes (D) 72 minutes
Some "LOG" questions, in cat there are around 2 questions and not very hard. People develop a fear from the word log, and leave the questions.
Try the following questions if anyone is not able to solve, I will explain the questions and Log properties:
1- If X is a positive quantity such that 2^x (2 power x) = 3^log2 to the base 5 (3 to power log 2 to base 5 ).
2-If (log x to the base10)-(log x^1/2 to the base 10) = 2*(logx to the base 10), then what are the possible value of x ?
3-If log(5+log a to the base 3)to the base 2=3 and log (4a+12+logb to the base 2)=3 , then a+b =??
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The average marks in a class of 18 students is 76. If the two highest scooters are taken out, the average drops by 3. Find the Max and the min possible marks of the highest score.
A child writes down the first few natural numbers on the board. Unfortunately, one number gets erased and he finds the average of the remaining numbers as 600/17. Find the number that got erased.
Find the values of (x,y) such that 589y67x68 is divisible by 72?