The domain of the function f(x) = log7{log3(log5(20x €“ x^2 €“ 91))} ?
well yaeh we can find the domain from the definition of log>0 but i just want to point here such questions can be dealt fast with options. we just have to find a point that just lies in one interval of the options and put it in the fn. to chk which is the correct one. it is the fastest and easiest way i think. works for all problems
Little Pika who is five and half years old has just learnt addition. However, he does not know how to carry. For example, he can add 14 and 5, but he does not know how to add 14 and 7. How many pairs of consecutive integers between 1000 and 2000 (both 1000 and 2000 included) can Little Pika add? A. 150 B. 155 C. 156 D. 258 E. None of the above
A 25 ft long ladder is placed against the wall with its base 7 ft the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:A. (2, 7) B. (5, 8) C. (9, 10)D. (3, 7 ) E. None of the above__/\__ Pranam Bhai @vijay_chandola
25 ki ladder...
7 ft on floor..7 24 25 pyta...so 24 is height on wall
now top comes half the distance..means 12 ft ...so foot of ladder..21. xx
There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8 :32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus? A. 0 B. 1/6 C. 1/4 D. 1/3 E. 1
A 25 ft long ladder is placed against the wall with its base 7 ft the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:A. (2, 7) B. (5, 8) C. (9, 10)D. (3, 7 ) E. None of the above__/\__ Pranam Bhai @vijay_chandola
A 25 ft long ladder is placed against the wall with its base 7 ft the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:A. (2, 7) B. (5, 8) C. (9, 10)D. (3, 7 ) E. None of the above__/\__ Pranam Bhai @vijay_chandola
let the height drawn out be x
==> (7+2x)^2+(24-x)^2=25^2
==> 5*x^2-20*x=0
==> x=0, 4 (0 not possible)
=> distance of base drawn out=2*4=8
Option b mai small bracket h to answer should be (5) :splat:
well yaeh we can find the domain from the definition of log>0 but i just want to point here such questions can be dealt fast with options. we just have to find a point that just lies in one interval of the options and put it in the fn. to chk which is the correct one. it is the fastest and easiest way i think. works for all problems
This should be your back up option for the exams. You cannot always rely on these techniques while preparing for XAT. Paper is highly conceptual and one of the toughest MBA entrance exam! :)
There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8 :32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?A. 0 B. 1/6C. 1/4D. 1/3E. 1
Little Pika who is five and half years old has just learnt addition. However, he does not know how to carry. For example, he can add 14 and 5, but he does not know how to add 14 and 7. How many pairs of consecutive integers between 1000 and 2000 (both 1000 and 2000 included) can Little Pika add?A. 150 B. 155 C. 156 D. 258 E. None of the above
i think it should be 258 or none of these feeling lazy to calculate exactly 9and 0 wala cases :P
There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8 :32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?A. 0 B. 1/6C. 1/4D. 1/3E. 1
there are 4!/(2!2!) =6 possible ways to arrange (N,N,D,D)
there are two cases in which mechanic will be able to catch the bus. i.e NNDD and DDNN
There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8 :32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?A. 0 B. 1/6C. 1/4D. 1/3E. 1
selection of 2 machines can be done in 4C2=6 ways
now, when first 2 machine selected will be faulty, he will be able to catch the bus.
Alternatively, when first 2 machines he selected will be okay, he can still catch the bus (rest 2 will be faulty)
I am guessing that N stands for not defective and D stands for defective..For the case NNDD..won't it take him 24 mins to check all the machines? How will he be able to catch the bus then?Please correct me if i am wrong
If first 2 are non defective means rest of the 2 machines are defective toh 12 mins hi lagenge..:) 1/2 x 1/3 + 1/2 x 1/3 = 1/3
