Aptitude · all questions

Number System
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Q101

The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

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Q102

The difference between three times and seven times of a number comes to 36. What is the number?

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Q103

Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sashi. Each time Sashi gets a number from Amitabh, he adds 50 to the number, and gives the result back to Amitabh, who doubles the number again. The first person, whose result is more than 1000, loses the game. Let 'X' be the smallest initial number that results in a win for Amitabh. The sum of the digit of 'X' is:

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Q104

Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90. Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for his last quiz and he realizes that he must score a minimum of 97 to get an A grade. After the quiz, he realizes that he will score 70, and he will just manage a B. how many quizzes did Prof. Suman take?

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Q105

A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?

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Q106

Three-fifth of a number is equal to 70% of another number. What is the ratio between the first number and second number ?

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Q107

A virus known to cause a deadly disease, is also a rapid multiplier. It is known that it can double itself every 30 minutes. If a container is completely full of this virus after 50 hours, when was the container half empty?

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Q108

The LCM of two number is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is:

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Q109

The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is:

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Q110

One-third of a tower is painted black,

\frac{5}{11}

th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft.,the total height of the tower is-

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Q111

In a certain series, each number except the first and second is obtained by adding the previous two numbers. If the first no is 2 and sixth no is 26, then the seventh number is:

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Q112

If (-1)ⁿ + (-1)⁴ⁿ = 0, then n is

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Q113

Sunil entered a shopping center and spent one half of the money that he had. When he finished his purchase he found that he had as many paise as he had rupees and half as many rupees as he had paise when he went. How much money did he have when he entered?

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Q114

11 * X =

\frac{693}{9}

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Q115

What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

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Q116

Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?

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Q117

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

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Q118

What is the least number when divided by 8, 12, 20 and 30 leaves a remainder 4 and when divided by 21 leaves a remainder 7 ?

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Q119

Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. how many times will they ring together in 60 minutes ?

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Q120

What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?

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