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Number System

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

343
396
382
378

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

Number System
75% of 250 - ?% of 380 = 54.5

35
39
33
31

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

40
38
37
39

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
1051.64 - 159.42 - 96.84 + 162.37 - 940.26 + 504 = ?

511.49
491.49
521.49
501.49

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 1718.01 - 1196.52 = 521.49

Number System
The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ?

1037.75
1031.75
1027.75
1043.75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216      Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75

Number System
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

3289
1760
2476
4589

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

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