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Number System

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

5400
2700
1800
10800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

75
64
88
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
In how many different ways can the letters of word 'BIOLOGY' be arranged ?

2678
2367
2410
2520

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

145
352
370
253

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 986
Rs. 945
Rs. 1054
Rs. 926

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
The simplest form of 1.5 : 2.5 is :

17 : 19
13 : 11
3 : 5
5 : 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

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