A train covers a distance of 3584 km in 2 days 8 h. If it covers 1440 km on the first day and 1608 km on the second day, by how much does the average speed of the train for the remaining part journey differ from that for the entire journey?
In 40 L mixture of milk and water the ratio of milk to water is 7 : 1. In order to make the ratio of milk and water 3 : 1, the quantity of water (in litres) that should be added to the mixture will be
Out of Rs. 50000 a men lends Rs. 8000 at \[5\frac{1}{2}%\]per annum simple interest and Rs. 24000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 3680. The rate of interest per annum, at which the remaining money is
At a certain rate per annum, the simple interest on a sum of money for one year is Rs. 260 and the compound interest on the same sum for two years Rs. 540.80. The rate of interest per annum is
The average of eight numbers is 20. If the sum of first two numbers is 31, the average of the next three numbers is \[21\frac{1}{3}\] and the seventh and eighth numbers exceed the sixth number by 4 and 7 respectively, then the eighth number is
A moving train crosses a man standing on a platform and a bridge 300 m long in 10 s and 25 s respectively. What will be the time taken by the train to cross a platform 200 m long?
The present average age of a family of four members is 36 yr. If the present age of the youngest member of the family be 12 yr, the average age of the family at the birth of the youngest member was
Manishanker and Hariharan started a business in vesting amounts in the ratio of 2 : 3 respectively. If Manishanker had invested an additional amount of Rs. 10000, the ratio of Manishanker's investment to Hariharan's investment would have been 3 : 2. What was the amount invested by Manishanker?
Anshul's age is \[\frac{1}{6}\text{th}\] of Brinda's age. Brinda's age will be twice of Celina's age after 10 yr, If Celina's eighth birthday was celebrated two years ago, the present age of Anshul is
Income of two Business hours P and Q are in the ratio of 5 : 8. Had the income of business house 'P' been more by Rs. 50 lakh, the ratio of their incomes would have been 5 : 4 respectively. What is the income of business house 'Q?
The work done by a women worker in 8 h is equal to the work done by a man worker in 6 h and by a boy worker in 12 h. If working 6 h per day 9 men worker, 12 women worker and 12boys worker together finish the same work working 8 h per day?
The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 500 in a month, what are their monthly incomes?
Two cars 'X' and 'Y are running towards each other from two different places 88 km apart. If the ratio of the speed of the cars 'X' and 'Y' is respectively 5 : 6 and the speed of the car 'Y' is 90 km/h, at what time will the two meet each other?
A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 m apart, at what speed is the train travelling?
Rajdhani Express has a capacity of 500 seats of which 10% is in the Executive class, rest being chair car. During one journey the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, how many chaircar seats were empty during that journey?
A person covers a certain distance between his« house and office on motorcycle. Having an average speed of 30 km/h, he is late by 10 min. However with a speed of 40 km/h, he reaches his office in 5 min earlier. Find the distance between his house and office.
Anirudh deposited two parts of a sum of Rs. 25000 in different cooperative banks at the rates of 15% per annum and 18% per annum respectively. In one year he got Rs. 4050 as the total interest. What was the amount deposited at the rate of 18% per annum?
An article is listed at Rs. 920. A customer Rs. 720.90 for it after getting two successive discount. If the rate of first discount is 15%, the rate of second discount is
In an examination 80% candidates passed in English and 85% candidates passed in Mathematics. If 73% candidates passed in both these subjects, then what per cent of candidates failed in both the subject?
Two iron shots each of diameter 6 cm are immersed in the water contained in a cylindrical vessel of radius 6 cm. The level of the water in the vessel will be raised by
A solid metallic sphere of radius 8 cm is melted to form 64 equal small solid spheres. The ratio of the surface area of this sphere to that of a small sphere
An article is sold at a discount of 20% an additional discount of 30% is allowed on payment. If Vidya purchased the article by payment Rs. 2240 in cash, the marked price of the article value
40 men can complete a work in 40 days. They started the work together. But at the end of each 10th day 5 men left the job. The work would have been completed in
The bowling average of a cricketer was 12.4. He improves his bowling average by 0.2 points when he takes 5 wickets for 26 runs in his last match. The number of wickets taken by him before the last match was
A tank has a leak which would empty the completely filled tank in 10 h. If the tank is full of Water and a tap is opened which admits 4 L of water per minute in the tank, the leak takes 15 h to empty the tank. How many litres of water does the hold?
A can do a piece of work in 18 days and a in 12 days. They began the work together, but B left the work 3 days before its completion. In how many days, in all, was the work completed?
If the difference between areas of the circumcircle and the in circle of an equilateral triangle is \[44\,\,c{{m}^{2}},\]then the area of the triangle is \[{{(A+B)}^{2}}\]
Two men start together from some place in the same direction to go round a circular path. If one takes 10 min and the other takes 15 min to make one complete round they will meet after
The angle of elevation of a tower at a point is \[45{}^\circ .\] After going 40 m towards the foot of the tower, the angle of elevation of the tower becomes \[60{}^\circ .\] Then, the height of the tower is
The angle of depression of two ships from the top of a light house are \[45{}^\circ \]and \[30{}^\circ \] towards East, If the ships are 200 m apart, the height of the light house is
Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the outer circle which is outside the inner circle is of length
ABC is a triangle, X is a point outside the\[\Delta ABC\]such that CD=CX, where D is the point of intersection of BC and AX" and\[\angle BAX=\angle XAC.\] Which one of the following is correct?
In the figure given above, YAX is a tangent to the circle with centre O, If \[\angle BAX=70{}^\circ \] and \[\angle BAQ=40{}^\circ ,\]then what is \[\angle ABQ\] is equal to?
Which of the following is true in the given figure where AD is the altitude to the hypotenuse of a right angled\[\Delta ABC?\] 1. \[\Delta ABD\tilde{\ }\Delta CAD\] 2. \[\Delta ABD\cong \Delta CDA\] 3. \[\Delta ADB\tilde{\ }\Delta CAB\] Of these statements the correct ones are combinations of
A wire when bent in the form of a square, encloses a region having area\[\text{121}\,\,\text{c}{{\text{m}}^{\text{2}}}\]. If the same wire is bent into the form of a circle, then the area of the circle is\[\left( \text{Take}\,\,\pi \text{=}\frac{\text{22}}{\text{7}} \right)\]
Two trains started at the same time, one from A to B and the other from B to A. If they arrived at B and A respectively 4 h and 9 h after they passed each other, the ratio of the speeds of the two trains was
The volume of the metal-of a cylindrical pipe is \[748\,\,c{{m}^{3}}.\]The length of the pipe is 14 cm and its external radius is 9 cm. Its thickness is\[\left( \text{Take}\,\,\pi \text{=}\frac{\text{22}}{\text{7}} \right)\]
The number of students in 3 classes are in the ratio 2 : 3 : 4 If 12 students are increased in each class, this ratio changes to 8 : 11 : 14. The total number of students in the three classes in the beginning was
Directions: These questions are to be answered on the basis of the bar-graph given below, showing the number of students in the five sections A to E, of a class in school.
Which section has the largest number of students? From the table. Section E has the largest number students.
Directions: These questions are to be answered on the basis of the bar-graph given below, showing the number of students in the five sections A to E, of a class in school.
Which section has twice the number of students compared to another section?
Directions: These questions are to be answered on the basis of the bar-graph given below, showing the number of students in the five sections A to E, of a class in school.
If the students were to be uniformly divided in each section, for which section would the strength change most drastically?