Question 1 :
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 2 :
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 3 :
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 5 :
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 6 :
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 7 :
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 :
Product of two co-prime numbers is 117. Their LCM should be
Question 9 :
The length and breadth of rectangular field are 55 m and 45 m respectively. The length of the largest rod (in m) that can measure the length and breadth of the field exactly, is
Question 10 :
Four runners started running simultaneously from a point on a circular track they took 200 sec, 300 sec, 360 sec and 450 sec to complete one round, after how much time do they meet at the starting point for the first time?
Question 11 :
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 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 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 14 :
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 15 :
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 16 :
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 17 :
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 18 :
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 19 :
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 20 :
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 21 :
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 22 :
The smallest number which when multiplied with 7200 will make the product a perfect cube, is
Question 23 :
What must be added to 24136 to make it a perfect square?
Question 24 :
The square of a natural number when subtracted from its cube results in 48. The number is
Question 25 :
The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,
Question 27 :
The product of two numbers is 1936. If one number is 4 times the other, the numbers are
Question 28 :
The least square number exactly divisible by 4, 6, 10, 15 is
Question 29 :
The least number to be subtracted from 24136 to make it a perfect square
Question 30 :
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 31 :
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 32 :
In what time will Rs. 72 become Rs. 81 at {tex}6\frac{1}{4}{/tex}% p.a. SI?
Question 33 :
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 34 :
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 35 :
The population of a village increases @ 5% p.a. If present population is 8000, after how many years the population will be 9261?
Question 36 :
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 37 :
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 38 :
The difference between CI and SI on Rs. 8000 far 3 yrs at 2.5% p.a. is
Question 39 :
Compound interest on Rs. 1600 at 2.5% p.a. for 2 years is
Question 40 :
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.
