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Number System

Number System
Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.

391
388
386
384

ANSWER DOWNLOAD EXAMIANS APP

Number System
What is 846 times 323 ?

293798
283298
273258
264258

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

846 x 323 = 273258

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

24
23
26
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

Number System
√360 - 225 x 2 + 379 = ?

18
17
19
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √360 - 225 x 2 + 379 = √360 - 450 + 379 = √289= 17

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

81
18
24
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

Number System
The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ?

76
74
75
73

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76

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