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Arithmetic Ability
Problems On Numbers
Quiz 2
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Q.1
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is :
$$\frac{1}{289}$$
$$\frac{289}{290}$$
$$\frac{290}{289}$$
$$289$$
Q.2
A number whose fifth part increase by 4 is equal to its fourth part diminished by 10, is :
240
260
270
280
Q.3
Out of six consecutive natural numbers if the sum of first three is 27, what is the sum of the other three ?
24
25
35
36
Q.4
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?
29
70
92
Cannot be determined
None of these
Q.5
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 :
48
54
72
84
Q.6
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 ?
71
75
79
81
None of these
Q.7
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of the number ?
3
4
9
Cannot be determined
None of these
Q.8
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 :
$$\frac{2}{25}$$
$$\frac{3}{25}$$
$$\frac{4}{25}$$
None of these
Q.9
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 ?
36
48
56
64
Q.10
the difference between two numbers is 3 and the difference between their squares is 63. Which is the larger number ?
9
12
15
Cannot be determined
None of these
Q.11
twenty times a positive integer is less than its square by 96. What is the integer ?
20
24
30
Cannot be determined
none of these
Q.12
If the sum of a number and its square is 182, what is the number ?
15
26
28
91
None of these
Q.13
The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit's place is 3 more than the digit in the ten's place, then the number is ?
24
36
63
96
Q.14
The difference between two positive integers is 3. If the sum of their squares is 369, then the sum of the numbers is :
25
27
33
81
Q.15
A number consists of two digits. If the digits interchange place and the new number is added to the original number, then the resulting number will be divisible by :
3
5
9
11
Q.16
The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals ?
$$\frac{1}{40}$$
$$\frac{8}{75}$$
$$\frac{75}{4}$$
$$\frac{75}{8}$$
Q.17
A two-digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original number. What is the number ?
42
52
62
72
Q.18
In a Mathematics examination the number scored by 5 candidates are 5 successive odd integers. If their total marks are 185, the highest score is :
39
43
41
47
Q.19
Three numbers are in in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :
6
12
18
None of these
Q.20
The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are :
25, 36
25, 46
35, 46
None of these
Q.21
If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by :
k - 1
11 - k
9 + k
10 - k
Q.22
The product of two fractions is $$\frac{14}{15}$$ and their quotient is $$\frac{35}{24}$$. The greater fraction is :
$$\frac{4}{5}$$
$$\frac{7}{6}$$
$$\frac{7}{4}$$
$$\frac{7}{3}$$
Q.23
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 ?
12
13
14
15
Q.24
If $$2\frac{1}{2}$$ is added tp a number and the sum multiplied by $$4\frac{1}{2}$$ and 3 is added to the product and the sum is divided by $$1\frac{1}{5}$$, the quotient becomes 25. What is the number ?
$$2\frac{1}{2}$$
$$3\frac{1}{2}$$
$$4\frac{1}{2}$$
$$5\frac{1}{2}$$
Q.25
The product of two numbers is 120 and the sum of their square is 289. The sum of the numbers is :
20
23
169
None of these
Q.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 ?
$$\frac{8}{11}$$
$$\frac{10}{11}$$
$$\frac{9}{13}$$
$$\frac{10}{13}$$
None of these
Q.27
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 ?
687
786
795
Cannot be determined
None of these
Q.28
What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?
34
38
42
46
Q.29
If a number is multiplied by two-third of itself the value so obtained is 864. What is the number ?
34
36
38
44
46
Q.30
The digit in the unit's place of a numbers is equal to the digit in the ten's place of half of that number and the digit in the ten's place of that number is less than the digit in unit's place of half of the number by 1. If the sum of the digits of the number is 7, then what is the number ?
34
52
162
Data inadequate
None of these
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