What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.

Even with all I, II and III, answer cannot be give.

What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3.

Both I and II are not sufficient to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

What is the two-digit number? I. The difference between the two digits is 9. II. The sum of the digits is equal to the difference between the two digits.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9._x000D_ I. _x000D_ The number is multiple of 51._x000D_ II. _x000D_ The sum of the digits a and b is 6.

II alone sufficient while I alone not sufficient to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

104 + Mcqs in Problems on Numbers in General Aptitude Page 1 McqOptions

1.	What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.
A.	I and II only
B.	I and III only
C.	All I, II and III
D.	I, and either II or III
E.	Even with all I, II and III, answer cannot be give.
Answer» F.

Discussion

2.	What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3.
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
E.	Both I and II are necessary to answer
Answer» D. Both I and II are not sufficient to answer

Discussion

3.	What is the two-digit number? I. Sum of the digits is 7. II. Difference between the number and the number obtained by interchanging the digits is 9. III. Digit in the ten's place is bigger than the digit in the unit's place by 1.
A.	I and II only
B.	II and III only
C.	I and III only
D.	All I, II and III
E.	None of these
Answer» F.

Discussion

4.	What is the two-digit number? I. The difference between the two digits is 9. II. The sum of the digits is equal to the difference between the 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
E.	Both I and II are necessary to answer
Answer» F.

Discussion

5.	What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9._x000D_ I. _x000D_ The number is multiple of 51._x000D_ II. _x000D_ The sum of the digits a and b is 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 not sufficient to answer
E.	Both I and II are necessary to answer
Answer» B. II alone sufficient while I alone not sufficient to answer

Discussion

6.	If the sum of a number and its square is 182, what is the number ?
A.	5
B.	6
C.	8
D.	1
E.	one of these
Answer» F.

Discussion

7.	243 has been divided into three parts such that half of the first part, one-third of the second part and one-fourth of the third part are equal. The largest part is :
A.	4
B.	6
C.	2
D.	08
Answer» E.

Discussion

8.	In a two-digit positive number, the digit in the unit's place is equal to the square of the digit in ten's place, and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number ?
A.	5.6
B.	4
C.	7.2
D.	9
E.	one of these
Answer» B. 4

Discussion

9.	A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by 4. The given number was ?
A.	40
B.	88
C.	84
D.	80
Answer» E.

Discussion

10.	The sum of five consecutive odd numbers is 575. What is the sum of the next set of five consecutive odd numbers ?
A.	95
B.	15
C.	35
D.	annot be determined
E.	one of these
Answer» F.

Discussion

11.	The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers ?
A.	1
B.	7
C.	2
D.	annot be determined
E.	one of these
Answer» D. annot be determined

Discussion

12.	A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :
A.	45
B.	53
C.	70
D.	52
Answer» C. 70

Discussion

13.	The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also, the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number ?
A.	4
B.	2
C.	3
D.	annot be determined
E.	one of these
Answer» F.

Discussion

14.	The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :
A.	1 : 9
B.	1 : 18
C.	1 : 19
D.	2 : 19
Answer» B. 1 : 18

Discussion

15.	If the square of a two-digit number is reduced by the square of the number formed by reversing the digits of the number, the final result is :
A.	ivisible by 11
B.	ivisible by 9
C.	ecessarily irrational
D.	oth (A) and (B)
Answer» E.

Discussion

16.	The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller these two numbers ?
A.	2
B.	4
C.	6
D.	8
E.	one of these
Answer» B. 4

Discussion

17.	If (73)2 is subtracted from the square of a number, the answer so obtained is 5075. What is the number ?
A.	6
B.	8
C.	02
D.	06
Answer» D. 06

Discussion

18.	A, B, C, D and E are five consecutive odd numbers. The sum of A and C is 146. What is the value of E ?
A.	1
B.	5
C.	9
D.	1
E.	one of these
Answer» D. 1

Discussion

19.	The sum of three numbers is 264. If the first number be twice the second and third number be be one-third of the first, then the second number is :
A.	8
B.	4
C.	2
D.	4
Answer» D. 4

Discussion

20.	If one-seventh of a number exceeds its eleventh part by 100, then the number is :
A.	70
B.	10
C.	825
D.	925
Answer» E.

Discussion

21.	There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number ?
A.	2
B.	4
C.	2
D.	5
E.	one of these
Answer» D. 5

Discussion

22.	A fraction is such that if the double of the numerator and the triple pf the denominator is changed by +10 percent and -30 percent respectively, then we get 11 percent of $$\frac{16}{21}$$. Find the fraction :
A.	$\frac{2}{25}$$
B.	$\frac{3}{25}$$
C.	$\frac{4}{25}$$
D.	one of these
Answer» B. $\frac{3}{25}$$

Discussion

23.	The number obtained by interchanging the two digits of a two-digit number is lesser than the original number by 54. If the sum of the two digit of the number is 12, then what is the original number ?
A.	8
B.	9
C.	2
D.	annot be determined
E.	one of these
Answer» F.

Discussion

24.	The sum of two numbers is 25 and their difference is 13. Find their product :
A.	04
B.	14
C.	15
D.	25
Answer» C. 15

Discussion

25.	If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?
A.	74
B.	16
C.	46
D.	36
Answer» C. 46

Discussion

26.	If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is $$\frac{15}{26}$$. What was the original fraction ?
A.	$\frac{8}{11}$$
B.	$\frac{10}{11}$$
C.	$\frac{9}{13}$$
D.	$\frac{10}{13}$$
E.	one of these
Answer» E. one of these

Discussion

27.	Out of six consecutive natural numbers if the sum of first three is 27, what is the sum of the other three ?
A.	4
B.	5
C.	5
D.	6
Answer» E.

Discussion

28.	If the numerator of a fraction is increased by $$\frac{1}{4}$$ and the denominator is decreased byy $$\frac{1}{3}$$, the new fraction obtained is $$\frac{33}{64}$$. What was the original fraction ?
A.	$\frac{3}{7}$$
B.	$\frac{5}{7}$$
C.	$\frac{7}{9}$$
D.	annot be determined
E.	one of these
Answer» E. one of these

Discussion

29.	Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The lager number is ?
A.	6
B.	8
C.	6
D.	4
Answer» D. 4

Discussion

30.	The difference of two numbers is 20% of the larger number. If the smaller number is 12, the larger one is :
A.	5
B.	6
C.	8
D.	0
Answer» B. 6

Discussion

31.	If the numerator of a fraction is increased by 2 and the denominator is increased by 3, the fraction becomes $$\frac{7}{9}$$ and if both the numerator as well as he denominator are decreased by 1, the fraction becomes $$\frac{4}{5}$$. What is the original fraction ?
A.	$\frac{5}{6}$$
B.	$\frac{9}{11}$$
C.	$\frac{13}{16}$$
D.	$\frac{17}{21}$$
Answer» B. $\frac{9}{11}$$

Discussion

32.	A number of two digits has 3 for its unit's digit, and the sum of digits is $$\frac{1}{7}$$ of the itself. The number is :
A.	3
B.	3
C.	3
D.	3
Answer» C. 3

Discussion

33.	The difference between two numbers is 1365. When the large number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is :
A.	40
B.	70
C.	95
D.	60
Answer» C. 95

Discussion

34.	The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is ?
A.	2
B.	3
C.	4
D.	5
Answer» D. 5

Discussion

35.	The difference between two numbers is 16. If one-third of the smaller number is greater than one-seventh of the larger number by 4, then the two numbers are :
A.	and 25
B.	2 and 28
C.	3 and 49
D.	6 and 72
Answer» D. 6 and 72

Discussion

36.	The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be :
A.	$\frac{12}{35}$$
B.	$\frac{1}{35}$$
C.	$\frac{35}{8}$$
D.	$\frac{7}{32}$$
Answer» B. $\frac{1}{35}$$

Discussion

37.	The difference between $$\frac{3}{5}$$th of $$\frac{2}{3}$$rd of a number and $$\frac{2}{5}$$th of $$\frac{1}{4}$$th of the same number is 288. What is the number ?
A.	50
B.	95
C.	55
D.	60
Answer» E.

Discussion

38.	In a three-digit number, the digit in the unit's place is 75% of the digit in the ten's place. The digit in the ten's place is greater than the digit in the hundred's place by 1. If the sum of the digits in the ten's place and the hundred's place is 15. What is the number ?
A.	87
B.	86
C.	95
D.	annot be determined
E.	one of these
Answer» C. 95

Discussion

39.	The sum of the squares of three numbers is 138, while the sum of their product taken two at a time is 131. Their sum is :
A.	0
B.	0
C.	0
D.	one of these
Answer» B. 0

Discussion

40.	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 :
A.	8
B.	4
C.	2
D.	1
Answer» C. 2

Discussion

41.	The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :
A.	80
B.	95
C.	00
D.	25
Answer» D. 25

Discussion

42.	If a number is multiplied by two-third of itself the value so obtained is 864. What is the number ?
A.	4
B.	6
C.	8
D.	4
E.	6
Answer» C. 8

Discussion

43.	If a number is added to two-fifths of itself, the value so obtained is 455. What is the number ?
A.	25
B.	50
C.	00
D.	20
E.	one of these
Answer» B. 50

Discussion

44.	If the product of two numbers is 5 and one of the number is $$\frac{3}{2}$$, then sum of two numbers is :
A.	$4\frac{1}{3}$$
B.	$4\frac{2}{3}$$
C.	$4\frac{5}{6}$$
D.	$5\frac{1}{6}$$
Answer» D. $5\frac{1}{6}$$

Discussion

45.	A certain number of two digits is three times the sum of its digits and if 45 be added to it, the digits are reversed. The number is ?
A.	3
B.	7
C.	2
D.	2
Answer» C. 2

Discussion

46.	What is the sum of two consecutive evennumbers, the difference of whose squares is 84 ?
A.	4
B.	8
C.	2
D.	6
Answer» D. 6

Discussion

47.	The difference between two integers is 5. Their product is 500. Find the numbers.
A.	5, 20
B.	0, 25
C.	0, 25
D.	1, 26
Answer» C. 0, 25

Discussion

48.	Two-third of a positive number and $$\frac{25}{216}$$ of its reciprocal are equal, The number is :
A.	$\frac{5}{12}$$
B.	$\frac{12}{5}$$
C.	$\frac{25}{144}$$
D.	$\frac{144}{25}$$
Answer» B. $\frac{12}{5}$$

Discussion

49.	The difference between a number and its three-fifths is 50, What is the number ?
A.	5
B.	00
C.	25
D.	one of these
Answer» D. one of these

Discussion

50.	Of the three number, the sum of the first two is 73, the sum of the second and the third is 77 and the sum of the third and thrice the first is 104. The third number is ?
A.	5
B.	9
C.	8
D.	annot be determined
E.	one of these
Answer» F.

Discussion

Explore topic-wise MCQs in General Aptitude.

What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.

What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3.

What is the two-digit number? I. Sum of the digits is 7. II. Difference between the number and the number obtained by interchanging the digits is 9. III. Digit in the ten's place is bigger than the digit in the unit's place by 1.

What is the two-digit number? I. The difference between the two digits is 9. II. The sum of the digits is equal to the difference between the two digits.

What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9._x000D_ I. _x000D_ The number is multiple of 51._x000D_ II. _x000D_ The sum of the digits a and b is 6.

If the sum of a number and its square is 182, what is the number ?

243 has been divided into three parts such that half of the first part, one-third of the second part and one-fourth of the third part are equal. The largest part is :

In a two-digit positive number, the digit in the unit's place is equal to the square of the digit in ten's place, and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number ?

A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by 4. The given number was ?

The sum of five consecutive odd numbers is 575. What is the sum of the next set of five consecutive odd numbers ?

The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers ?

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :

The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also, the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number ?

The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :

If the square of a two-digit number is reduced by the square of the number formed by reversing the digits of the number, the final result is :

The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller these two numbers ?

If (73)2 is subtracted from the square of a number, the answer so obtained is 5075. What is the number ?

A, B, C, D and E are five consecutive odd numbers. The sum of A and C is 146. What is the value of E ?

The sum of three numbers is 264. If the first number be twice the second and third number be be one-third of the first, then the second number is :

If one-seventh of a number exceeds its eleventh part by 100, then the number is :

There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number ?

A fraction is such that if the double of the numerator and the triple pf the denominator is changed by +10 percent and -30 percent respectively, then we get 11 percent of $$\frac{16}{21}$$. Find the fraction :

The number obtained by interchanging the two digits of a two-digit number is lesser than the original number by 54. If the sum of the two digit of the number is 12, then what is the original number ?

The sum of two numbers is 25 and their difference is 13. Find their product :

If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is $$\frac{15}{26}$$. What was the original fraction ?

Out of six consecutive natural numbers if the sum of first three is 27, what is the sum of the other three ?

If the numerator of a fraction is increased by $$\frac{1}{4}$$ and the denominator is decreased byy $$\frac{1}{3}$$, the new fraction obtained is $$\frac{33}{64}$$. What was the original fraction ?

Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The lager number is ?

The difference of two numbers is 20% of the larger number. If the smaller number is 12, the larger one is :

If the numerator of a fraction is increased by 2 and the denominator is increased by 3, the fraction becomes $$\frac{7}{9}$$ and if both the numerator as well as he denominator are decreased by 1, the fraction becomes $$\frac{4}{5}$$. What is the original fraction ?

A number of two digits has 3 for its unit's digit, and the sum of digits is $$\frac{1}{7}$$ of the itself. The number is :

The difference between two numbers is 1365. When the large number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is :

The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is ?

The difference between two numbers is 16. If one-third of the smaller number is greater than one-seventh of the larger number by 4, then the two numbers are :

The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be :

The difference between $$\frac{3}{5}$$th of $$\frac{2}{3}$$rd of a number and $$\frac{2}{5}$$th of $$\frac{1}{4}$$th of the same number is 288. What is the number ?

In a three-digit number, the digit in the unit's place is 75% of the digit in the ten's place. The digit in the ten's place is greater than the digit in the hundred's place by 1. If the sum of the digits in the ten's place and the hundred's place is 15. What is the number ?

The sum of the squares of three numbers is 138, while the sum of their product taken two at a time is 131. Their sum is :

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 :

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

If a number is multiplied by two-third of itself the value so obtained is 864. What is the number ?

If a number is added to two-fifths of itself, the value so obtained is 455. What is the number ?

If the product of two numbers is 5 and one of the number is $$\frac{3}{2}$$, then sum of two numbers is :

A certain number of two digits is three times the sum of its digits and if 45 be added to it, the digits are reversed. The number is ?

What is the sum of two consecutive evennumbers, the difference of whose squares is 84 ?

The difference between two integers is 5. Their product is 500. Find the numbers.

Two-third of a positive number and $$\frac{25}{216}$$ of its reciprocal are equal, The number is :

The difference between a number and its three-fifths is 50, What is the number ?

Of the three number, the sum of the first two is 73, the sum of the second and the third is 77 and the sum of the third and thrice the first is 104. The third number is ?