A grandfather bought some milky bars and distributed among his two grandson and a granddaughter in such a way that he gave one-third to his elder son, one-fourth to his younger son and two third of the remaining to his daughter. If in the end he is left with 10 milky bars, then find the number of milky bars he bought.
\[\frac{2}{5}\] people in a joint family are students, \[\frac{1}{4}\] people are house wives and rest are working. If there are 20 members in the family, then the number of working persons in the family are:
Find the value of a such that \[{{\left( \frac{5}{3} \right)}^{-\,5}}\times \,\,{{\left( \frac{5}{3} \right)}^{-\,11}}={{\left( \frac{5}{3} \right)}^{8\,a}}\].
If \[a=\frac{\sqrt{2}+1}{\sqrt{2-1}}\] and \[b=\frac{\sqrt{2}-1}{\sqrt{2}+1},\]then\[\frac{{{a}^{2}}+ab+{{b}^{2}}}{{{a}^{2}}-ab+{{b}^{2}}}\] is equal to:
If Rs. 1380 is divided among Ahmed, John and Babita in such a way that Ahmed's share is 5 times as much as Babita's share and 3 times as much as John's share, then John's share is:
There is a work of levelling the ground. 10 labours can level the ground in 15 days. After 5 days 5 labours left the work. In how many days remaining labour can finish the remaining work?
Peter and Robert can load the bags in a truck in 36 hours and 45 hours respectively. If both work together, then how much time will they take to load the truck?
The production of rice increases by 10% in the first year, 15% in the second year, and decreases by 14% in the third year. Find the production of rice in the first year if at the end of third year it was 20,000 kg.
A dishonest merchant uses a defective weight balance to measure the weight of the article he purchased or sold at his outlet. When he purchases the goods for his outlet he uses to measure 10% less than the usual weight while selling the same goods he uses to measure 10% more than the usual weight. If he sells certain weight of goods to someone, his gain will be:
John invested Rs. 25000 and Rs. 20000 in two different types of bond. The first bond pays an interest of 8% per annum and the other pays an interest of 10% per annum. Find the total interest he will get after 5 years.
Cost of an article is Rs. 3400. A customer purchases the article at 10 % per annum at simple interest. What amount does the customer pay after 3 years?
Three cubes of metal with edges 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surface area of the new cube so formed.
A train runs x km at an average speed of \[{{K}_{1}}\]km/h and y km at an average speed of\[{{K}_{2}}\]km/h. The average speed of the train for the entire journey is:
Amit choose three numbers x, y and z in such a way that the x is twice of y and thrice of z, if the average of all the three numbers is 88, then the smallest number is:
Six friends A, B, C, D, E and F are sitting in a closed circle facing the centre. E is to the left of D, C is between A and B, F is between E and A. Who is between C and D?
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts 75 questions and secures 125 marks, then the number of question he attempts correctly is: