Problems on Numbers - Aptitude Questions and Answers | Problems on Numbers Distance MCQ Aptitude Test
Quiz Name
Problems on Numbers
Category
Online Aptitude Test
Number of Questions
20
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. If a number is one-third of one-fourth of a number, three-tenths of that number is:
a. 34
b. 36
c. 45
d. 54
Answer: D
Explanation:
Let's say the number is x.After that, 1/3 of 1/4 of x = 15 x = 15 x 3 x 4 = 180.As a result, the needed number is 3/10x180 = 54.
2. The first of three successive odd numbers is three times the second, and the third is three times the first. The third digit is :
a. 9
b. 11
c. 13
d. 15
Answer: D
Explanation:
Let x, x + 2, and x + 4 be the three numbers.3x = 2(x + 4) + 3 x = 11 is the result.x + 4 = 15 is the third integer.
3. The difference between a two-digit number and a number produced by swapping its digits' places is 36. What is the difference between those number's two digits?
a. 3
b. 4
c. 9
d. Cannot be determined
Answer: B
Explanation:
Let x be the tenth digit and y be the unit digit.Then (10x + y) - (10y + x) = 36 is the result.36 = 9(x - y),4 = x - y
4. There is a 36-point difference between a two-digit number and the number generated by swapping the digits. If the ratio between the digits of the number is 1: 2, what is the difference between the sum and the difference of the digits?
a. 4
b. 8
c. 16
d. None of these
Answer: B
Explanation:
The tenth digit is more than the unit digit because the number is bigger than the number produced by reversing the digits.Let the digits for the tens and units be 2x and x, respectively.The solution is (10 x 2x + x) - (10x + 2x) = 36.36 = 9x,x equals 4.2x = 8 (required difference = (2x + x) - (2x - x).
5. The product of two digits equals eight in a two-digit number. The digits are flipped when 18 is added to the number. This is the number:
a. 18
b. 24
c. 42
d. 81
Answer: B
Explanation:
Let x and 8/x be the tens and unit digits, respectively.Then 10x + 8/x + 18 = 10 x 8/x + x = 10 x 8/x + x80 + x2 = 10x,2 + 8 + 18x,0 = 9x2 + 18x - 72,0 = x2 + 2x - 8,0 = (x + 4)(x - 2)x equals 2.
6. The difference between the digits of a two-digit number is 3 and the total of the digits is 15. What is the value of the two-digit number?
a. 69
b. 78
c. 96
d. Cannot be determined
Answer: D
Explanation:
Let x be the tenth digit and y be the unit digit.x + y = 15 and x - y = 3 or y - x = 3 are the results.We get x = 9, y = 6 by solving x + y = 15 and x - y = 3.We obtain x = 6, y = 9 when we solve x + y = 15 and y - x = 3.As a result, the answer is either 96 or 69.As a result, the exact quantity is unknown.
7. The total of three integers' squares is 138, whereas the sum of their products divided by two is 131. Their total is:
a. 20
b. 30
c. 40
d. None of these
Answer: A
Explanation:
Let's call the numbers a, b, and c.Then (ab + bc + ca) = 131 and a2 + b2 + c2 = 138.2(ab + bc + ca) = 138 + 2 x 131 = 400. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.The sum of (a + b + c) is 400, which equals 20.
8. A number is made up of two digits. If the digits are swapped and the new number is added to the old, the result is divisible by:
a. 3
b. 5
c. 9
d. 11
Answer: D
Explanation:
Let x be the tenth digit and y be the unit digit.Then number is equal to 10x + y.10y + x is the number produced by swapping the digits.(10x + y) + (10y + x) = 11(x + y).
9. In a two-digit number, if the unit digit exceeds the tenth digit by two and the product of the provided number and the sum of its digits equals 144, the number is:
a. 24
b. 26
c. 42
d. 46
Answer: A
Explanation:
Let's use the digit x for the tenth digit.The digit of the unit then becomes x + 2.10x + (x + 2) = 11x + 2 is the number.x + (x + 2) = 2x + 2 is the sum of the digits.140 = 22x2 + 26x,70 = 0 = 11x2 + 13x.(11x + 35) = 0 (x - 2)11x + 35).As a result, the necessary number is 11x + 2 = 24.
10. Find a positive number that is equivalent to 60 times the reciprocal of the number when multiplied by 17.
a. 3
b. 10
c. 17
d. 20
Answer: A
Explanation:
Let's say the number is x.As a result, x + 17 = 60/x.0 = x2 + 17x - 60,0 = (x + 20)(x - 3),x equals 3.
11. The quotient, when the larger number is divided by the smaller, is 15, and the product of two integers is 9375. The total of the numbers equals:
a. 380
b. 395
c. 400
d. 425
Answer: C
Explanation:
Let's call the numbers x and y.xy = 9375 and x/y = 15 are the results.xy/(x/y) = 9375/1625 = y2.25 is the number.375 = x = 15y = (15 x 25).x + y = 375 + 25 = 400 is the sum of the numbers.
12. The sum of two numbers is 289, while the product of two numbers is 120. The total of the numbers is as follows:
a. 20
b. 23
c. 169
d. None of these
Answer: B
Explanation:
Let's call the numbers x and yThen xy = 120 and x2 + y2 = 289 are obtained.289 + (2 x 120) = 529 (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529,529 = 23. x + y = 529 = 23.
13. A number of three digits and a total of ten. If the numbers are reversed, the middle digit equals the sum of the other two, and the number will be raised by 99. This is the number:
a. 145
b. 253
c. 370
d. 352
Answer: B
Explanation:
Let x be the middle digit.Then 2x = 10 or x = 5 is the case. So, either 253 or 352 is the answer.Because the number grows when the digits are reversed, the hundred's digits are smaller than the unit's digit.As a result, the needed number is 253.
14. The difference between two numbers is 25 and their total is 25. 13. Locate their item.
a. 104
b. 114
c. 315
d. 325
Answer: B
Explanation:
Let's call the numbers x and y.x + y = 25 and x - y = 13 are the results.(x + y) = 4xy,2 – (x- y)= (625 - 169),equals 456,114 = xy.
15. What is the total of two consecutive even integers whose square differences are 84?
a. 34
b. 38
c. 42
d. 46
Answer: C
Explanation:
Let x and x + 2 be the numbers.As a result, (x + 2)2 - x2 = 84.84 = 4x + 4,80 = 4x.x equals 20.2x + 2 = 42 is the needed total = x + (x + 2).
16. What is the figure?
I. The total of the two digits equals eight. The two digits have a 1:3 ratio.
II. The product of a number's two digits is 12. Three is the quotient of two digits.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are not sufficient to answer
Answer: C
Explanation:
Let x and y be the tens and units digits, respectively. Then, because I. x + y = 8 and x/y = 1/3, 4y = 24 y = 6 is obtained.As a result, x + 6 = 8 and x = 2.II. x/y = 1/3 and xy = 12,x2 = 36 x = 6 is the result of II.As a result, 3y = 6 y = 2.As a result, either I or II is adequate to provide an answer.
17. What is the value of the two-digit number?
I. There is a nine-digit discrepancy between the two digits.
II. The difference between the two digits is equal to the total of the digits.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are necessary to answer
Answer: D
Explanation:
Let x and y be the tens and unit digits, respectively. Thenx - y = 9. I. x - y = 9.x + y = x - y is the second rule.We obtain x - y = 9 and x + y = 9 from I and II.We obtain x = 9 and y = 0 after solving.The required number of people is 90.As a result, both I and II are required to obtain the anagram.
18. What is the two-digit number with an as the first digit and b as the second? There is a number that is bigger than nine. The figure is a multiple of 51. The numbers a and b add up to 6.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are necessary to answer
Answer: A
Explanation:
A two-digit number higher than 9 and a multiple of 51 should be 51 itself, according to assertion .Because 2 x 51 equals 102. (3 digit number). As a result, I am sufficient to respond. Statement II: A two-digit number larger than 9 with a six-digit total. 15, 24, 33, 42, and 51 are all possibilities. As a result, we can't deduce the needed answer only from assertion II. As a result, I alone provide the solution, but II alone is insufficient to provide an answer.
19. I. There is a 27-point discrepancy between the two-digit number and the number generated by swapping the digits.
II. There is a three-digit discrepancy between the two digits.
III. The digit at the unit's position is three times smaller than the digit at the ten's place.
a. I and II only
b. I and III only
c. All I, II and III
d. Even with all I, II and III, answer cannot be give.
Answer: D
Explanation:
Let x and y be the tens and units digits, respectively.x - y = 3. I. (10x + y) - (10y + x) x - y = 3.x - y = 3 is the second equation.x - y = 3 is the third condition.As a result, even putting all three assertions together does not yield an answer.
20. What is the value of the two-digit number?
I. The total number of digits is seven.
II. There is a nine-digit difference between the number and the number produced by swapping the digits.
III. The digit in the tenth position is one digit larger than the digit in the first place.
a. I and II only
b. II and III only
c. I and III only
d. None of these
Answer: D
Explanation:
Let x and y be the tens and units digits, respectively.x + y = 7. I. x + y = 7.II. (10x + y) - (10y + x) = 9 x - y = 1 x - y = 1 ,x - y = 1 is the third condition.As a result, I and II, as well as I and III, provide the solution.
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