# HCF & LCM , Square Roots & Cube Roots and 3 other Topics - Maths - MCQ Test - Teachmint (2023)

Question 1 :
The volumes of two cubes are in the ratio 343 : 1331, the ratio of their edges, is

Question 2 :
The product of two numbers is 1936. If one number is 4 times the other, the numbers are

Question 3 :
The square of a natural number when subtracted from its cube results in 48. The number is

Question 4 :
The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,

Question 5 :
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 6 :
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 7 :
The ratio of two numbers is 3 : 4 their HCF is 4. Their LCM is:

Question 8 :
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 9 :
The LCM of two numbers is 4800 and their HCF is 160. If one of the numbers is 480, then the other number is :

Question 10 :
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 11 :
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 12 :
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 13 :
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 14 :
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 15 :
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 16 :
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 17 :
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 18 :
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 19 :
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 20 :
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 21 :
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 22 :
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 23 :
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 24 :
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 25 :
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 26 :
Compound interest on Rs. 1600 at 2.5% p.a. for 2 years is

Question 27 :
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 28 :
The population of a village increases @ 5% p.a. If present population is 8000, after how many years the population will be 9261?

Question 29 :
The compound interest on Rs. 2000 for 9 months at 8% per annum being given when the interest is compounded quarterly is

Question 30 :
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 31 :
Compound interest on Rs. 25000 at 20% p.a. for {tex}2\frac{1}{2}{/tex} years, if interest is compounded annually, is

Question 32 :
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 33 :
The difference between CI and SI on Rs. 8000 far 3 yrs at 2.5% p.a. is

Question 34 :
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 35 :
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 36 :
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 37 :
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 38 :
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 39 :
If compound interest for second year on a certain sum at 10% p.a. is Rs. 132, the principal is,

Question 40 :
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 41 :
The ratio of area of a square to another a square drawn on its diagonal is

Question 42 :
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 43 :
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 44 :
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 45 :
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 46 :
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 47 :
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 48 :
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 49 :
The area of the ring between two concentric circles, whose circumferences are 88 cm and 132 cm is.

Question 50 :
<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 51 :
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 52 :
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 53 :
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 54 :
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 55 :
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

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