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Number System

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

10800
1800
5400
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
Write the next number in the series : 14, 16, 13, 17, 12, 18, 11 ....

7
1
15
19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

19

Number System
What is the sum of all even numbers from 1 to 701?

122550
122850
123850
122500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

700/2 = 350350 * 351 = 122850

Number System
What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ?

84
87
81
94

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 10, 15, 25 = 150When we drive 2641 by 150 the remainder is 91.But the remainder should be 7.So, the number to be subtracted from 2641 is 91 - 7 = 84.

Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

92
29
70
Cannot be determined

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

116
120
124
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

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