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Number System

Number System
If the difference between a number and two-fifths of that number is 45 what is the number ?

77
78
76
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x ∴ x - 2x/5 = 45∴ x = 75

Number System
The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ?

1468
1327
1292
1168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34,                             E = 38Therefore, Product = 34 x 38 = 1292

Number System
20% of the total number of students in a school play football. How many students do not play football if the total number of students in the school is 7600 ?

5800
6000
6080
5976

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

20% of 7600 = 1520Therefore, students who do not play football = 7600 - 1520 = 6080

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

7
6
5
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

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

1027.75
1037.75
1031.75
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 sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

1/35
35/8
7/32
12/35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

MORE MCQ ON Number System

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