A two digit number is seven times the sum of its digits. If each digit is increased by 3, the number thus obtained is more than six times the sum of its digits by 6. Find the number.
If the numerator of a fraction is increased by 250% and the denominator is increased by 400%, the resultant fraction is\[\frac{7}{19}.\]What is the original fraction?
Two pipes A and B fill a tank in 12 and 15 min, respectively. Both are opened and at the end of 3 min, A is turned off. How much longer will the tank to fill?
The ratio of the present age of daughter and father is 1 : 5 and that of her mother and father is 4 : 5. After 2 yr the ratio of the age of the daughter to that of her mother becomes 3 : 10. What is the present age of the father?
The sum of the ages of Radhika and her son is 50 yr. Five years ago, Radhika's age was seven times the age of the son. What are the present ages of Radhika and her son?
Two trains start at the same time from point A and point Band proceed toward each other at the rate of 70 km/h and 85 km/h respectively. When they meet, it is found that first train has travelled 165 km more than the second. Find the difference between point A and point B.
In a Board Examination the percentage of students qualified to the number of students appeared from 'Apex School' is 70%. In 'Boston School' the number of students appeared is 25% more than the students appeared from 'Apex School' and the number of students qualified from 'Boston School' is 50% more than the students qualified from 'Apex School?. What is the percentage of students qualified to the number of students appeared from 'Boston School?
A rectangular farm has to be fenced on one long side, one short side and the diagonal. If the cost of fencing is Rs. 10 per metre, the area of farm is \[1200\,\,{{m}^{2}}\]and the short side is 30 m long, how much would the job cost?
Pipes X, Y and Z are connected to a water tank and the rate of flow of water is 44 L/h, 55 L/h and 49L/h respectively. Pipe X and Y fill the tank while empties the tank. If all the three pipes are opened simultaneously, the tank gets completely filled up in 14 h. What is the capacity of the tank?
If 35% of a number is subtracted from another number the second number reduces to its three-fourths. What is the ratio between the second number and the first number?
A boat goes downstream in one-third the time it takes to go upstream. Then, the ratio between the speed of boat in still water and that of the stream is
It takes eight hours for a 600 km journey, if 120 km is done by car and the rest by bus. It takes 20 min more, if 200 km is done by car and the rest by bus. What is the ratio of the speed of the car to that of the speed of the bus?
The ratio of males and females in a town in 7 : 8 respectively and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the town is 235200. What is the total population of town?
A person starts going for evening walk every day. The distance walked by him on the first day was 4 km. Everyday he walks half of the distance walked on the previous day. What can be the maximum total distance walked by him in his life time?
Two superfast trains P and Q start from stations A and B towards B and A respectively. After passing each other, they take 4 h 48 min and 3 h 20 min to reach B and A, respectively. If the train P is moving at 45 km/h, then find the speed of train Q.
A wall clock which gains uniformly is 2 min slow at noon on Sunday and is 4 min 48 s fast at 2 pm on the following Sunday. When did it show the correct time?
A car driver travels from plain to hill station which are 200 km apart at an average speed of 40 km/h. In the return trip he covers the same distance at an average speed of 20 km/h. The average speed of the car over the entire distance of 400 km is
Kimtilal gave Rs. 25000 to his eldest son Ramlal, \[\frac{5}{12},\]of the whole property to the second son Shyamlal and to the youngest son Premlal as much as two the eldest son Ramlal and the second son Shyamlal together. How much did the youngest son Premlal get?
Two pipes P and Q can fill a tank in 15 h and 20 h, respectively while a third pipe R can empty the full tank in 25 h. All the three pipes are opened in the beginning. After 10 h, R is closed. The time taken to fill the tank is
ABCD is a square. The diagonals A C and BD meet at O. Let K, L be the points on AB such that AO = AK, BO = BL. If \[\theta =\angle LOK,\] then what is the value of \[\tan \theta ?\]
AB and CD are two parallel chords on the opposite sides of the centre of the circle. If AB=10 cm CD = 24 cm and the radius of the circle is 13 cm then what is the distance between the chords?
If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what the length of the altitude on the hypotenuse?
ABCD is a rectangle of dimensions 8 units and 6 units. AEFC is a rectangle drawn in such a way that diagonal AC of the first rectangle is one side and side opposite to it is touching the first rectangle at D as shown in the given figure. What is the ratio of the area of rectangle ABCD to that of AEFC?
Assertion If the side of a rhombus is 10 cm. Its diagonals should have values 16 cm and 12 cm. Reason (R) The diagonals of a rhombus cut at right angles.
A)
A and R are correct and R is the correct explanation of A
doneclear
B)
A and R are correct but R is not correct explanation of A
One cubic metre piece of copper is melted and recast into a square cross-section bar, 36 m long. An exact cube is cut off from this bar. If 1 cu m of copper cost is Rs. 108, the cost of this cube is
Find the ratio in which the line segment joining A\[(1,-\,\,5)\]and B\[(-4,5)\]is divided by the x -axis. Also, find the coordinates of the point of division.
Which of the following statements are correct? I. \[\sin \,\,(2n+1)A\,\,sin\,\,A=si{{n}^{2}}\,\,(n+1)A-{{\sin }^{2}}nA\] II. \[{{\cos }^{2}}\,\,(45{}^\circ +x)-{{\sin }^{2}}\,\,(45{}^\circ -x)\] is independent III. \[\tan A=\frac{m}{m-1}\] and \[\tan B=\frac{1}{2m-1},\] then \[A-B=\frac{\pi }{4}\]
If \[\cos \,\,(\alpha +\beta )=\frac{4}{5}\] and \[\sin \,\,\left( \alpha -\beta \right)=\frac{5}{13},\alpha ,\beta \] lies between 0 and \[\frac{\pi }{4},\] then die value of \[\tan 2\alpha \]
The side of a square exceeds the side of the another square by 4 cm and the sum of the areas of the two squares is \[400\,\,c{{m}^{2}}.\] The dimensions of the squares is
From the top of a building 60 m high the angles of depression of the top and bottom of a tower are observed to be \[30{}^\circ \]and \[60{}^\circ .\]Then, the height of the tower is
Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are\[(0,-\,\,1),\](2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.
In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and the average came down to 45 marks. The total number of candidates who took the exam were.
A leak was found in a ship when it was 77 km from the shore. It was found that the leak admits 2.25 tonnes of water in 5.5 min, 92 tonnes will suffice to sink the ship. But the pumps can throw out 12 tonnes an hour. Find the average rate of sailing at which the ship may reach the shore as she begins to sink
A builder decided to build a farm house in 40 days. He employed 100 workers in the beginning and 100 more after 35 days and completed the construction in stipulated time. If he had not employed the additional workers, how many days behind schedule would it have been finished?
Mr. Rammurthy started a business investing Rs. 250000 in year 1998. In year 1999 he invested an additional amount of Rs. 100000 and Mr. Siddharth Rai joined him with an amount of Rs. 350000. In year 2000, Mr. Rammurthy invested another additional amount of Rs. 100000 and Mr. Rajan Babu joined them with an amount of Rs. 350000. What will be Siddharth Rai's share in the profit of Rs. 1500000 earned at the end of three years from the start of the business in 1998?
The strength of a Day Boarding School increases and decreases every alternate year. It starts with increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the Day Boarding School in year 2001 as compared to that in year 1997?
X and Y entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, X withdrew Rs. 5000 while Y invested Rs. 5000 more. After 3 more months Z joins the business with a capital of Rs. 21000. The share of Y exceeds that of Z, out of a total profit of Rs. 26400 after one year, by
One-fourth of a number is equal to \[\frac{5}{8}\text{th}\] of another number. If 36 is added to the first number, it becomes four times the second number. Find the second number.
A shopkeeper purchased 150 identical pieces of radio at the rate of Rs. 250 each. He spent an amount of Rs. 2500 on transport and packing. He fixed the label price of each radio at Rs. 320. However, he decided to give a discount of 5% on the labelled price. What is the per cent profit earned by him?
A building contractor under took to build a cooperative society flats in 100 days. He employed 110 men. After 45 days, he found that only \[\frac{1}{4}\text{th}\] of the flats could be built. In order to complete the work in time, how many more men should be employed?
10 boys and 15 girls together can complete a work in 6 days. It takes 100 days for one boy alone to complete the same work. How many days will be required for one girls alone to complete the work?
Two pipes X and Y can fill a tank in 36 min and 45 min respectively. A waste pipe Z can empty the tank in 30 min. First X and Y are opened. After 7 min, Z is also opened. In how much time, the tank is full?
A property dealer leaves 12900 sq yards area to be divided among his 5 brothers, 4 daughters and 2 sisters. If each daughter receives 4 times as much as each sister and each brother gets 5 times as much as each sister, then how much did each daughter get?
Sunita can do a piece of work in 6 h and Kavita alone can do it in 8 h. Sunita and Kavita under took to do it for Rs. 320. With the help of Geetanjai, finished it in 3 h. How much is paid to Geetanjli?
The rate of interest on a sum of money is 4% per annum for the first 2 yr, 6% per annum for the next 4 yr and 8% per annum for the period beyond 6 yr. If the simple interest accrued by the sum for a total period of 9 yr is Rs. 2240, what is the sum?
The children in three societies are in the radio 2 : 3 : 5. If 10 children are increased in each society, ratio changes to 4 : 5 : 7. The total number of children before the increase were
Of the three numbers the sum of first two is 45, the sum of the second and the third is 55 and the sum of the third and thrice the first is 90. Find out the third number.
The average marks of 48 students in a class is 45. The average marks of the boys in the class is 40 and the average marks of the girls in the class is 50. What is the ratio between the number of boys and girls in the class?
The sum of the ages of a mother and son is 45 yr. Fiver years ago the product of their ages was 4 times the mother's age at that time.The present ages of the mother and son, respectively are
A person borrows Rs. 4000 from a co-operative bank at \[7\frac{1}{2}%\]compound interest. At the end of every year he pays Rs. 1500 as part repayment of loan and interest. How much does he still owe to the co-operative bank after three such installments?
Two workers Prakash and Saurabh are paid a total of Rs. 1650 per week by their employer. If Prakash is paid 120% of sum paid to Saurabh, how much is Saurabh paid per week?
Mr. Satish Gujral, a businessman had the income in the year 2000, such that he earned a profit of 20% on his investment in the business. In the year 2001, his investment was less by Rs. 5 lakh but still had the same income (Income = Investment + Profit) as that in year 2000. Thus the per cent profit earned in year 2001 increased by 6%. What was his investment in year 2000?
Geetanjali bought two wrist watches for Rs. 720. She sold one at loss of 15% and the other at a gain of 19% and then her friend found that each wrist watch was sold at the same price. Find the cost of the wrist watch sold at a loss.
Divide Rs. 900 among X, Y and 7 so that Rs. 40 more that \[\frac{2}{5}\text{th}\] of X's share, Rs. 20 more than \[\frac{2}{7}\text{th}\]of Y's share and Rs. 10 more than\[\frac{9}{17}\text{th}\] of Y?s share may all be equal. What is X's share?
A shopkeeper bought an chair and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs. 55 more, he would have had a profit of 40%. What is the cost price of chair?
P, Q and R enter into partnership by making investments in the ratio 3 : 5 : 7. After a year 'R invests another Rs. 337600 while 'P' withdrew Rs. 45600. The ratio of investments then changes to 24 : 59 : 167. How much did 'P' invest initially?
In a mixture of 90 L, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is
A rectangular courtyard of a temple 3.78 m long and 5.25 m wide is to be paved exactly with square marble stones, all of the same size. What is the largest size of the marble stone which could be used for the purpose?
Directions: The following pie diagram gives the language based composition of a particular cosmopolitan city in India. Study the pie diagram carefully and answer the questions based on it.
What is the composition of Tamil speaking population as a percentage of the composition of the Bengalis nearly?
Directions: The following pie diagram gives the language based composition of a particular cosmopolitan city in India. Study the pie diagram carefully and answer the questions based on it.
What is the population of Hindi speaking people millions nearly?
Directions: The following pie diagram gives the language based composition of a particular cosmopolitan city in India. Study the pie diagram carefully and answer the questions based on it.
Which section of the people forms a majority in the cosmopolitan city and what is its percentage?
Directions: The following pie diagram gives the language based composition of a particular cosmopolitan city in India. Study the pie diagram carefully and answer the questions based on it.
If 2% of the other language speaking are found to be Punjabis, what is the per cent increase in Punjabis?
Directions: The following pie diagram gives the language based composition of a particular cosmopolitan city in India. Study the pie diagram carefully and answer the questions based on it.
As per the previous question, what is the increases in Punjabis in million, nearly?