Question 1 :
One pendulum ticks 57 times in 58 seconds and another 608 times in 609 seconds. If they started simultaneously, find the time after which they will tick together.
Question 2 :
The least number, which when divided by 48, 60, 72, 108, 140 leaves 38, 50, 62, 98 and 130 remainders respectively, is
Question 3 :
There are 264 girls and 408 boys in a school. These children are to be divided into groups of equal number of boys and girls. The maximum number of boys or girls in each group will be
Question 4 :
Three bells begin tolling at the same time and continue to do so at intervals of 21, 28 and 30 seconds respectively. The bells will toll together again after
Question 5 :
The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.
Question 6 :
The ratio of two numbers is 3 : 4 their HCF is 4. Their LCM is:
Question 7 :
A car travels a distance of 170 km in 2 hours partly at a speed of 100 km/hr and partly at 50 km/hr. Find the distance travelled at speed of 100 km/hr.
Question 8 :
A car complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. The total journey in km is
Question 9 :
The speed of a car increases by 2 kilometre after every one hour. If the distance travelled in the first one hour was 35 kilometres, then the total distance travelled in 12 hours was
Question 10 :
An increase in the speed of car by 10 km per hour saves 1 hour in a journey of 200 km, find the initial speed of the car.
Question 11 :
A truck travels a distance of 240 km in 6 hours, partly at a speed of 60 km/hr and partly at 30 km/hr. Find the time for which it travels at 60 km/hr.
Question 12 :
A man travelled from the village to post office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hr 48 min, then the distance of post office from the village is
Question 13 :
A man travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. The average speed for entire distance is
Question 14 :
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr, for how many minutes does the bus stop per hour?
Question 15 :
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travels in opposite directions, they meet after one hour and if they travel in same direction from A towards B, then P meets Q after 6 hours. The speed of car P is
Question 16 :
Starting from his house, one day a student walks at a speed of {tex}2\frac{1}{2}{/tex} km/hr and reaches his school 6 minutes late. Next day he increases his speed by 1 km/hr and reaches the school 6 minutes early. How far is the school from his house?
Question 17 :
Area of a square field is 22500{tex}{{m}^{2}}{/tex}. A man cycles along its boundary at 15 km/hr. The time will be taken by a man to return to starting point, is
Question 18 :
A gardener arranges plants in rows to form a square. He finds that in doing so 15 plants are left out. If the total number of plants are 3984, the number of plants in each row are,
Question 19 :
The square of a natural number when subtracted from its cube results in 48. The number is
Question 20 :
The least square number exactly divisible by 4, 6, 10, 15 is
Question 21 :
A {tex}8\times 6\times 4\,c{{m}^{3}}{/tex} metallic cube is melted. The minimum volume of molten metal which should be added to mould it into a cube whose edge is 'x' where 'x' is an integer, is
Question 22 :
The hypotenuse of an isosceles right angled triangular field has a length of {tex}30\sqrt{2}m,{/tex} the length of other side is
Question 23 :
The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,
Question 24 :
What must be added to 24136 to make it a perfect square?
Question 25 :
The volumes of two cubes are in the ratio 343 : 1331, the ratio of their edges, is
Question 26 :
A man had Rs. 1200, part of which he lent at 5% and the remaining at 4% he got Rs. 106 as interest after 2 years. The amount lent at 5% is
Question 27 :
A father divides Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present in such a way that if their shares are invested at compound interest @ 4% p.a., they will receive equal amount on attaining the age of 26 years. Mohan's share is
Question 28 :
A man invested Rs. 16000 at compound interest for 3 years, interest compounded annually. If he got Rs. 18522 at the end of 3 years, then the rate of interest is
Question 29 :
The population of a village increases @ 5% p.a. If present population is 8000, after how many years the population will be 9261?
Question 30 :
The difference between CI and SI on Rs. 8000 far 3 yrs at 2.5% p.a. is
Question 31 :
Compound interest on Rs. 1600 at 2.5% p.a. for 2 years is
Question 32 :
Bhanu borrowed a certain sum of money at 12% per annum for 3 years and Madhuri borrowed the same sum at 24% per annum for 10 years. The ratio of their amounts, is
Question 33 :
If compound interest for second year on a certain sum at 10% p.a. is Rs. 132, the principal is,
Question 34 :
Of a certain sum, {tex}\frac{1}{3}{/tex}rd. is invested at 3%, {tex}\frac{1}{6}{/tex}th at 6% and the rest at 8%. If the SI for 2 years from all these investments amounts to Rs. 600, then the original sum was
Question 35 :
An amount is lent at 15% p.a. compound interest for 2 years. The percent increase in the amount at the end of 2 years is
Question 36 :
The ratio of length and breadth of a rectangle is 5 : 4. If the breadth is 20 m less than the length then. Its perimeter is
Question 37 :
A square is converted into a rectangle by increasing its length by 20% and decreasing its width by 20%. Which of the following statement is true?
Question 38 :
A room of size 6.75 m long and 5.75 m wide is to be paved with square tiles. The minimum number of square tiles required is
Question 39 :
If the length and the breadth of a rectangle are increased by x% and y% respectively, then the area of rectangle will be increased by
Question 40 :
Four horses are tethered at four comers of a square plot of side 63 m so that they just cannot reach one another. The area left ungrazed is
Question 41 :
The length and breadth of a rectangular plot of a land are in the ratio 5 : 3. The owner spent Rs. 3000 for surrounding it from all the sides at the rate of Rs. 7.5 per meter. The difference between the length and breadth of the plot is
Question 42 :
The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions?
Question 43 :
The sides of a triangle are in the ratio 3 : 4 : 5. If its perimeter is 36 cm then the area of the triangle is
Question 44 :
The area of a square with side 9 cm is one sixth of the area of a rectangle, whose length is six-times its breadth. The perimeter of the rectangle is
Question 45 :
The area of the ring between two concentric circles, whose circumferences are 88 cm and 132 cm is.
Question 46 :
If the radius of a circle is increased by 1 cm, its area increases by {tex}22\,\,c{{m}^{2}}{/tex} then original radius of the circle is
Question 47 :
Four horses are tethered at four comers of a square plot of side 63 m so that they just cannot reach one another. The area left ungrazed is
Question 48 :
A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wide. If the path occupies {tex}600\,\,c{{m}^{2}}{/tex} then the width of the path is
Question 49 :
An athletic track 14 m wide consists of two straight sections 120 m long joining semi-circular ends whose inner radius is 35 m. The area of the track is
