Question 1 :
The square of a natural number when subtracted from its cube results in 48. The number is
Question 2 :
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 3 :
The area of a circular play ground is {tex}\frac{3168}{7}{{m}^{2}}.{/tex} The diameter of the ground is
Question 4 :
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 5 :
The volumes of two cubes are in the ratio 343 : 1331, the ratio of their edges, is
Question 6 :
Let 'K' be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder 25 in each case. Then sum of the digits of 'K' is
Question 8 :
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 9 :
The LCM and HCF of two numbers are 84 and 21, respectively. If the ratio of two numbers be 1: 4, then the larger of the two numbers is:
Question 10 :
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 11 :
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 12 :
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 13 :
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 14 :
The difference between CI and SI on Rs. 8000 far 3 yrs at 2.5% p.a. is
Question 15 :
The population of a village increases @ 5% p.a. If present population is 8000, after how many years the population will be 9261?
Question 16 :
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 17 :
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 18 :
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 19 :
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 20 :
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 21 :
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 22 :
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 23 :
<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 24 :
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 25 :
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