The average age of 10 students and their class teacher is 17 years. If the age of the class teacher is excluded, the average age of the 10 students is reduced by 2 years. What is the age of the class teacher?
Ramu had to select a list of numbers between 1 and 1000 (including both), which are divisible by both 2 and 7. How many such numbers are there?
Two trains with a speed of 80 km/h and 120 km/h, respectively, are 500 km apart and face each other. Find the distance between them 10 minutes before crossing?
The ratio of a father's age to his son's age is 3 ∶ 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:
A and B can complete a work in 36 days and 45 days respectively. They worked together for 2 days and then A left the work. In how many days will B complete the remaining work?
A bus travels at 100 km/h for the first 1/2 hour. Later it travels at 80 km/h. Find the time taken by the bus to travel 290 km.
The average age of 25 girls in a class is 11.2 years and that of the remaining 15 girls is 10 years. Find the average age of all the girls in the class.
The average of a batsman in 16 innings is 36. In the next innings, he scores 70 runs. What will be his new average?
What is the greatest number of six digits, which when divided by each of 16, 24, 72 and 84, leaves the remainder 15?
The cost price of an article is Rs. 1,200. On buying four such articles, the customer gets one for free. If the selling price of each article is Rs. 1,800, then determine the net percentage profit earned by the shop keeper on selling four articles?
Two trains 121 m and 99 m in length, respectively, are running in opposite directions, one at a speed of 40 km/h and the other at a speed of 32 km/h. In what time will they be completely clear of each other from the moment they meet?
The height and curved surface area of a right circular cylinder are 7 cm and 70 π . Its total surface area is:
If the number 476**0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:
The price of a bat and a ball are in the ratio 9 : 5. The price of the bat is Rs. 380 more than the price of the ball. Find the price of the ball.
If the number 8764x5 is divisible by 9, then find the least possible value of x where x is a two-digit number.
60 men can complete a work in 40 days. They start work together but after every 10 day, 5 men leave the work. In how many days will the work be completed?
What is the greatest positive integer that divides 554, 714 and 213 leaving the remainder 43, 57 and 67, respectively?
A chord of a circle is equal to its radius of length 9 cm. Find the angle subtended by it in major segment.
There are 3 taps, A, B and C, in a tank. These can fill the tank in 10 h, 20 h and 25 h, respectively. At first, all three taps are opened simultaneously. After 2 h, tap C is closed and tap A and B keep running. After 4 h, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.
The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a?
The average of 15 results is 21. The average of the first 7 of those is 21 and the average of the last 7 is 20. What is the 8th result?
രവിയുടെയും ശശിയുടെയും വയസ്സുകൾ തമ്മിലുള്ള അംശബന്ധം ഇപ്പോൾ 4 : 5 ആണ്. 5 വർഷം കഴിയുമ്പോൾ അവരുടെ വയസ്സുകൾ തമ്മിലുള്ള അംശബന്ധം 5 : 6 ആകും. എങ്കിൽ രവിയുടെ ഇപ്പോഴത്തെ വയസ്സ് എന്ത്?
ഒരാൾ ഒരു ഉല്പന്നം 840 രൂപയ്ക്ക് വിറ്റു. 20% ലാഭം നേടി. 30% ലാഭം കിട്ടണമെങ്കിൽ അയാൾ അത് എത്ര രൂപയ്ക്ക് വിൽക്കണം?
A and B can complete a work in 10 days and 15 days, respectively. They got a total of Rs. 1,250 for that work. What will be B’s share?
Amit & Sumit start walking from same point in opposite directions at the speed of 6 km/h and 4 km/h, respectively. How far will they be from each other after 4 hours?
The perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm, respectively, then what will be the area of the square?
Two stations are 120 km apart on a straight line. A train starts from station A at 8 a.m. and moves towards station B at 20 km/h, and another train starts from station B at 9 a.m. and travels towards station A at a speed of 30 km/h. At what time will they meet?
The HCF and LCM of two numbers are 126 and 9, respectively. If one of the numbers is 18, then what is the other number?