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A person allows a 10% discount on the marked price of a toy for cash payment and still makes a profit of 10%. What is the cost price of the toy whose marked price is Rs. 770?
Attempt & see explanationA circular target (plate) of diameter 1 metre in archery is painted with four colours from inside to outside — red, blue, yellow and white. The radius of the red band is 0.20 metre. The widths of the remaining bands are equal. When arrows are shot at this circular target, what is the probability that the arrows hit the red part of the target?
Attempt & see explanationIn a race, a competitor has to collect 6 apples which are kept in a straight line on a track and a bucket is placed at the beginning of the track which is the starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run (the first apple being at a distance of 5 metres from the bucket and the rest of the apples being 3 metres apart)?
Attempt & see explanationIn a family of five persons, the average income per person is Rs. 10,000 per month. What will be the average income per person per month in the same family if the income of one of the persons increases by Rs. 1,20,000 per year?
Attempt & see explanationW completes 25% of a piece of work in 30 days, X completes 1/4 of the work in 10 days, Y completes 40% of the work in 40 days and Z completes 1/3 of the work in 13 days. Who will complete the work first?
Attempt & see explanationA and B walk around a circular park. They start at 8:00 am from the same point in opposite directions. A and B walk at the rate of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other after 8:00 am and before 9:30 am?
Attempt & see explanationIn a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:
Attempt & see explanationA cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m × 4 m × 6 m. How much portion of the underground tank is still filled with water after filling the overhead tank completely?
Attempt & see explanationFour-digit numbers are to be formed using the digits 1, 2, 3 and 4; and none of these four digits are repeated in any manner. Further: 1. 2 and 3 are not to immediately follow each other. 2. 1 is not to be immediately followed by 3. 3. 4 is not to appear at the last place. 4. 1 is not to appear at the first place. How many different numbers can be formed?
Attempt & see explanationHow many numbers are there between 100 and 300 which either begin with or end with 2?
Attempt & see explanationIf R and S are different integers both divisible by 5, then which of the following is not necessarily true?
Attempt & see explanationA military code writes SYSTEM as SYSMET and NEARER as AENRER. Using the same code, FRACTION can be written as:
Attempt & see explanationRam and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?
Attempt & see explanationA cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the side of the big cube. The number of small cubes with only one of the sides painted is:
Attempt & see explanationA person walks 12 km due north, then 15 km due east, after that 19 km due west and then 15 km due south. How far is he from the starting point?
Attempt & see explanationAB is a vertical trunk of a huge tree with A being the point where the base of the trunk touches the ground. Due to a cyclone, the trunk has been broken at C which is at a height of 12 metres; the broken part is partially attached to the vertical portion of the trunk at C. If the end of the broken part B touches the ground at D which is at a distance of 5 metres from A, then the original height of the trunk is:
Attempt & see explanationA person is standing on the first step from the bottom of a ladder. If he has to climb 4 more steps to reach exactly the middle step, how many steps does the ladder have?
Attempt & see explanationThe entire salaries (pay + allowances) of two persons are equal. But one of them gets 65% of his basic pay as allowances while the other gets 80% of his basic pay as allowances. What is the ratio of the basic pay of the first person to that of the second person?
Attempt & see explanationIn a family of five members, the sum of the ages of all members was 80 years three years ago. The average age three years ago is the same as it is today, because in the intervening period a baby was born into the family. What is the age of the baby?
Attempt & see explanationA field is in the shape of a rectangle whose length is X₁ metres and breadth is X₂ metres (X₁ and X₂ are variable). If X₁ + X₂ = 40 metres, then the area of the field will not be more than which one of the following values?
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