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Numbers Questions

Home > Quantitative Aptitude > Numbers > General Questions
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Choose the correct option.

The sum of the digits of a three digit number is 17, and the sum of the squares of its digits is 109. If we subtract 495 from the number, we shall get a number consisting of the same digits written in the reverse order. Find the number.

A773

B683

C944

D863

Explanation:

Sum of the squares should be equal to 109.
Only Options B and D satisfying.
When we subtract 495, only 863 becomes 368.

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How many 2's are there between the terms 112 to 375?

A313

B159

C156

D315

Explanation:

Let us calculate total 2's in the units place. (122, 132, 142 ... 192), (201, 212, 222, ... 292), (302, 312, ... 372) = 8 + 10 + 8 = 26
Total 2's in tenth's place, (120, 121, 122, ..., 129) + (220, 221, ..., 229) + (320, 321, ..., 329) = 30
Total 2's in hundred's place = (200, 201, ... 299) = 100.
Total 2's between 112 and 375 = 26 + 30 + 100 = 156

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Which of the following says the same thing as "X is divisible by Y"?

Ay is a multiple of x

By is divisible by x

Cx is a multiple of y

Dx is a divisor of y

Explanation:

X is a multiple of Y
Because if we take X as 6 and Y as 3,
then we can easily see that X consists of 3 and 2 which undoubtedly means that X is a multiple of 3 that is Y.

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( 517 * 517 * 517 + 483 * 483 * 483)/(517 * 517 - 517 * 483 + 483 * 483).

Find the result of this expression.

A1

B1000

C5436948

D23,45,683

Explanation:

(a^3+b^3) = (a+b)(a^2-ab+b^2)

so [(a+b)(a2-ab+b^2)] / (a^2-ab+b^2) = (a+b) => 517 + 483 = 1000.

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Which of these four functions is largest?

A2/3

B3/4

C4/7

D5/8

Explanation:

2/3 = .666
3/4 = .75
4/7 = .57
5/8 = .625
3/4 = .75 is largest

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[2/3+2/9] * 9/4 divided by 5/6 * 5/12

A144/25

B144/23

C124/25

DNone of these

Explanation:

2/3+2/9 = 8/9
8/9*9/4 = 2
5/6*5/12 = 25/72
So, 2/(25/72) = 144/25

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The absolute value of the difference of 3 and 5 is:

A1

B-2

C2

D0

Explanation:

absolute value of the difference of 3 and 5 = |3-5| = |-2| = 2

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If a and b are positive integers and (a-b)/3.5 = 4/7, then

Ab < a

Bb > a

Cb = a

Db >= a

Explanation:

Solution: (a-b)/3.5= 4/7

a-b= 2

a=b 2

Hence a>b

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product of consecutive 3 prime no is 385 what is the sum of three no?

A23

B33

C43

D21

Explanation:

Solution: Find the factors of 385

5*7*11=385 also these three are consecutive primes

5 7 11= 23

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How many times 0.01 is larger than (0.0001)*(0.0001)

A10^6

B100

C1000

DNone of the above

Explanation:

Here is no explanation for this answer

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