Question 2 :
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 3 :
The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,
Question 4 :
The area of a circular play ground is {tex}\frac{3168}{7}{{m}^{2}}.{/tex} The diameter of the ground is
Question 5 :
The smallest number by which 136 must be multiplied so that it becomes a perfect square is
Question 6 :
The product of two numbers is 1936. If one number is 4 times the other, the numbers are
Question 7 :
The least number to be subtracted from 24136 to make it a perfect square
Question 8 :
The smallest number which when multiplied with 7200 will make the product a perfect cube, is
Question 9 :
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 10 :
A least four digit perfect square whose first two digits and last two digits taken separately are also perfect squares, is:
Question 11 :
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 13 :
The smallest number by which 3888 must be divided so that the resulting number is a perfect square is
Question 14 :
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 15 :
The square of a natural number when subtracted from its cube results in 48. The number is
Question 16 :
The least square number exactly divisible by 4, 6, 10, 15 is
Question 17 :
You have a rectangular frame that is 40 cm by 60 cm. Can you put a square picture that has an area of {tex}800\,\,c{{m}^{2}}{/tex} completely inside the frame?
Question 18 :
What must be added to 24136 to make it a perfect square?
Question 20 :
The volumes of two cubes are in the ratio 343 : 1331, the ratio of their edges, is
Question 21 :
The population of a village increases @ 5% p.a. If present population is 8000, after how many years the population will be 9261?
Question 22 :
A certain sum of money invested at a certain rate of compound interest doubles in 5 years. In how many years will it become 4 times?
Question 23 :
Population of a town increases at a certain rate per cent per annum. Present population of the town is 3600 and in 5 years it becomes 4800. How much will it be in 10 years?
Question 24 :
The difference between S.I. and C.I. on a sum for 2 years at 8% per annum is Rs. 160. If the interest were compounded half yearly, the difference in interests in two years will be nearly
Question 25 :
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 26 :
In what time will Rs. 72 become Rs. 81 at {tex}6\frac{1}{4}{/tex}% p.a. SI?
Question 27 :
Compound interest on Rs. 1600 at 2.5% p.a. for 2 years is
Question 28 :
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 29 :
Compound interest on Rs. 25000 at 20% p.a. for {tex}2\frac{1}{2}{/tex} years, if interest is compounded annually, is
Question 30 :
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 31 :
The difference between CI and SI on Rs. 8000 far 3 yrs at 2.5% p.a. is
Question 32 :
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 33 :
Rs. 12500 lent at compound interest for two years at 10% per annum fetches Rs. .... more, if the interest was payable half yearly than if it was payable annually
Question 34 :
The compound interest on Rs. 2000 for 9 months at 8% per annum being given when the interest is compounded quarterly is
Question 35 :
A sum of money, at compound interest, yields Rs. 200 and Rs. 220 at the end of first and second year respectively. The rate % is
Question 36 :
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 37 :
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 38 :
Gopi borrowed Rs. 1800 at 12% per annum for 2 years and Krishna borrowed Rs. 1200 at 18% per annum for 3 years. Then the ratio of interests paid by them is
Question 39 :
Nanoo and Meenu borrowed Rs. 400 each at 10% interest per annum. Nanoo borrowed at compound interest while Meenu borrowed at simple interest. In both the cases, the interest was calculated half yearly. At the end of one year.
Question 40 :
If compound interest for second year on a certain sum at 10% p.a. is Rs. 132, the principal is,
Question 41 :
A car moves 300 km at a speed of 45 kmph and then it increases its speed to 60 kmph to travel another 500 km. Find average speed of car.
Question 42 :
In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by 'A' to reach the destination is
Question 43 :
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 44 :
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 45 :
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 46 :
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 47 :
A car travelling with {tex}\frac{5}{7}{/tex} of its actual speed covers 42 km in 1 hr 40 min 48 sec. The actual speed of car is
Question 48 :
A man travels three-fifths of a distance AB at a speed of 3a and remaining at the speed of 2b. If he goes from B to A and back at a speed of 5c in the same time then
Question 49 :
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 50 :
The jogging track in a stadium as 726 m in circumference. Rakesh and Ismail start from the same point and walk in opposite direction at 4.5 kmph and 3.75 kmph respectively. They will meet for the first time in
Question 51 :
A boy goes to his school from his house at a speed of 3 kmph and returns at a speed of 2 kmph. If he takes 5 hours in going and coming, then the distance between his house and school is
Question 52 :
My mother left for Nasik from Pune at 5.20 AM. She travelled at the speed of 50 km/hr for 2 hour 15 minutes. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 km, at what time did she reach Nasik?
Question 53 :
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 54 :
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 55 :
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 56 :
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 57 :
With a uniform speed a car covers a distance in 8 hours. Had the speed been increased by 4 tan/hr, the same distance could have been covered in {tex}7\frac{1}{2}{/tex} hours. The distance covered is
Question 58 :
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 59 :
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 km/hr and partly on bicycle at rate of 9 km/hr. The distance travelled on foot is
Question 60 :
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is
Question 61 :
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 62 :
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 63 :
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 64 :
The area of the ring between two concentric circles, whose circumferences are 88 cm and 132 cm is.
Question 65 : In the figure ABCD is a square with side 10. BFD is an arc of a circle with centre C. BGD is an arc of a circle with centre A. The area of the shaded region is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/RRB/5fa537b31d5df75d903a6532"/>
Question 66 :
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 67 :
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 68 :
Area of the shaded region of the below given figure is
Question 69 :
A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm, each are dropped in it and they sink down in the water completely. What will be the increase in the level of water in the jar?
Question 70 :
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 71 :
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 72 :
The ratio of area of a square to another a square drawn on its diagonal is
Question 73 :
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
Question 74 :
The diameters of two cones are equal and their slant heights are in the ratio 5 : 4. If the curved surface of the larger cone is {tex}200\,\,c{{m}^{2}},{/tex} then the curved surface of the larger cone is
Question 75 :
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 76 :
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 77 :
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 78 : <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/RRB/5fa537b49cf7583002bd548b"/> (Take {tex}\pi =\frac{22}{7}{/tex} unless otherwise mentioned) A hemisphere of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is
Question 79 :
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 80 :
Two sides of a plot measure 32 m and 24 m and angle between them is perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of plot {tex}(in\,\,{{m}^{2}}){/tex}{tex}7056\,{{m}^{2}}{/tex} is
