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question_answer1)
If \[{{3}^{n}}=27\], then \[{{3}^{n-2}}\] is
A)
3 done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{9}\] done
clear
D)
9 done
clear
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question_answer2)
If \[a={{b}^{x}}\], \[b={{c}^{y}}\], \[c={{a}^{z}}\], then xyz is
A)
- 1 done
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B)
0 done
clear
C)
1 done
clear
D)
\[abc\] done
clear
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question_answer3)
If \[p={{x}^{\frac{1}{3}}}+{{x}^{\frac{1}{3}}}\] , then \[{{p}^{3}}-3p\] is equal to
A)
3 done
clear
B)
\[\frac{1}{2}(x+{{x}^{-1}})\] done
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C)
\[x+{{x}^{-1}}\] done
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D)
\[2(x+{{x}^{-1}})\] done
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question_answer4)
The counting numbers 1, 2, 3, 4, ... are called
A)
whole numbers done
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B)
natural numbers done
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C)
integers done
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D)
None of these done
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question_answer5)
The smallest natural number is
A)
0 done
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B)
1 done
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C)
2 done
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D)
None of these done
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question_answer6)
The smallest whole number is
A)
0 done
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B)
1 done
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C)
2 done
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D)
None of these done
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question_answer7)
Choose the wrong statement:
A)
There is no largest natural number. done
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B)
There is no largest whole number. done
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C)
Every natural number is a whole number. done
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D)
All natural numbers together with zero are called integers. done
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question_answer8)
An integer which is divisible by 2 is called a/an
A)
even number done
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B)
odd number done
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C)
prime number done
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D)
composite number done
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question_answer9)
Which one of the following is a rational number?
A)
\[{{(\sqrt{2})}^{2}}\] done
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B)
\[2\sqrt{2}\] done
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C)
\[2+\sqrt{2}\] done
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D)
\[\frac{\sqrt{2}}{2}\] done
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question_answer10)
Rational number \[\frac{-18}{5}\] lies between consecutive integers
A)
-2 and -3 done
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B)
-3 and -4 done
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C)
- 4 and - 5 done
clear
D)
- 5 and ? 6 done
clear
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question_answer11)
\[1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\]is equal to
A)
\[\frac{1}{3}\] done
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B)
1 done
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C)
\[\frac{11}{7}\] done
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D)
\[1\frac{1}{3}\] done
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question_answer12)
The divisor when the quotient, divident and the remainder are respectively 547, 171282 and 71 is equal to
A)
333 done
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B)
323 done
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C)
313 done
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D)
303 done
clear
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question_answer13)
The value of \[\sqrt{900}+\sqrt{0.09}-\sqrt{0.000009}\] is
A)
30.297 done
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B)
30.197 done
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C)
30.097 done
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D)
30.397 done
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question_answer14)
An integer which is not divisible by 2 is called a/an
A)
even number done
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B)
odd number done
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C)
prime number done
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D)
composite number done
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question_answer15)
Which of the following is not a prime number?
A)
2 done
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B)
3 done
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C)
4 done
clear
D)
5 done
clear
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question_answer16)
Which of the following is not a prime number?
A)
5 done
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B)
7 done
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C)
8 done
clear
D)
11 done
clear
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question_answer17)
The only prime number which is even is
A)
2 done
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B)
4 done
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C)
6 done
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D)
none of these done
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question_answer18)
The greatest integer that divides 358, 376, 334 leaving the same remainder in each case is
A)
6 done
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B)
7 done
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C)
8 done
clear
D)
9 done
clear
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question_answer19)
The units digit of every prime number (other than 2 and 5) must be necessarily
A)
1, 3 or 5 done
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B)
1, 3, 7 or 9 done
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C)
7 or 9 done
clear
D)
1 or 7 done
clear
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question_answer20)
If the number \[243\times 51\]is divisible by 9, then the value of digit marked as x would be
A)
3 done
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B)
1 done
clear
C)
2 done
clear
D)
4 done
clear
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question_answer21)
The least number which when divided by 2, 3,4,5 and 6 leaves the remainder 1 m each case If the same number is divided by 7 it leaves n remainder. The number is
A)
231 done
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B)
301 done
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C)
371 done
clear
D)
441 done
clear
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question_answer22)
The value of \[{{\log }_{b}}{{a}^{2}}.{{\log }_{c}}{{b}^{2}}.{{\log }_{a}}{{c}^{2}}\] is
A)
1 done
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B)
4 done
clear
C)
6 done
clear
D)
8 done
clear
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question_answer23)
Which of the following is not a composite number?
A)
4 done
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B)
6 done
clear
C)
7 done
clear
D)
8 done
clear
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question_answer24)
A quantity which expresses a part of the whole is called a/an
A)
fraction done
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B)
prime number done
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C)
integer done
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D)
None of these done
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question_answer25)
Choose the fraction which is equivalent to \[\frac{15}{20}\]
A)
\[\frac{12}{15}\] done
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B)
\[\frac{51}{12}\] done
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C)
\[\frac{4}{3}\] done
clear
D)
\[\frac{12}{16}\] done
clear
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question_answer26)
Which of the following is not a proper fraction?
A)
\[\frac{2}{3}\] done
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B)
\[\frac{3}{4}\] done
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C)
\[\frac{5}{7}\] done
clear
D)
\[\frac{6}{5}\] done
clear
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question_answer27)
Which of the following is not an improper fraction?
A)
1 done
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B)
\[\frac{3}{2}\] done
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C)
\[\frac{5}{3}\] done
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D)
\[\frac{7}{11}\] done
clear
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question_answer28)
How many rational numbers exist between any two distinct rational numbers?
A)
2 done
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B)
3 done
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C)
11 done
clear
D)
Infinite number of rational numbers done
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question_answer29)
The number of composite number between 101 and 120 are
A)
11 done
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B)
12 done
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C)
13 done
clear
D)
14 done
clear
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question_answer30)
If the number \[\text{12 }\times \text{ 453}\] is divisible by 9, then the digit at the place of x will be
A)
1 done
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B)
2 done
clear
C)
3 done
clear
D)
4 done
clear
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question_answer31)
Choose the rational number which does not lie between rational numbers \[\frac{3}{5}\] and \[\frac{2}{3}\]
A)
\[\frac{46}{75}\] done
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B)
\[\frac{47}{75}\] done
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C)
\[\frac{49}{75}\] done
clear
D)
\[\frac{50}{75}\] done
clear
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question_answer32)
Choose the rational number which does not lie between rational numbers\[-\frac{2}{5}\] and \[-\frac{1}{5}\]
A)
\[-\frac{1}{4}\] done
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B)
\[-\frac{3}{10}\] done
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C)
\[\frac{3}{10}\] done
clear
D)
\[-\frac{7}{20}\] done
clear
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question_answer33)
\[1.\overline{3}\] is equal to
A)
\[\frac{3}{4}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{4}{3}\] done
clear
D)
\[\frac{2}{5}\] done
clear
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question_answer34)
\[0.\overline{\text{585}}\]is equal to
A)
\[\frac{589}{99}\] done
clear
B)
\[\frac{585}{999}\] done
clear
C)
\[\frac{999}{585}\] done
clear
D)
None of these done
clear
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question_answer35)
\[\text{5}.\overline{\text{2}}\]is equal to
A)
\[\frac{45}{9}\] done
clear
B)
\[\frac{7}{11}\] done
clear
C)
\[\frac{47}{9}\] done
clear
D)
None of these done
clear
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question_answer36)
\[0.\overline{\text{127}}\]is equal to
A)
\[\frac{45}{9}\] done
clear
B)
\[\frac{46}{9}\] done
clear
C)
\[\frac{2}{55}\] done
clear
D)
None of these done
clear
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question_answer37)
0.05 is equal to
A)
\[\frac{3}{99}\] done
clear
B)
\[\frac{4}{99}\] done
clear
C)
\[\frac{5}{99}\] done
clear
D)
None of these done
clear
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question_answer38)
\[\text{3}.\overline{\text{25}}\]is equal to
A)
\[\frac{320}{99}\] done
clear
B)
\[\frac{321}{99}\] done
clear
C)
\[\frac{322}{99}\] done
clear
D)
\[\frac{323}{99}\] done
clear
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question_answer39)
The successor of lowest positive integer is
A)
1 done
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B)
2 done
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C)
3 done
clear
D)
None of these done
clear
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question_answer40)
Which of the following numbers is different from others?
A)
\[\sqrt{2}\] done
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B)
\[\sqrt{3}\] done
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C)
\[\sqrt{4}\] done
clear
D)
\[\sqrt{5}\] done
clear
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question_answer41)
Which of the following numbers is different from others?
A)
\[\sqrt{7}\] done
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B)
\[\sqrt{8}\] done
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C)
\[\sqrt{13}\] done
clear
D)
\[\sqrt{16}\] done
clear
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question_answer42)
Which of the following is smallest?
A)
\[\sqrt[4]{5}\] done
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B)
\[\sqrt[5]{5}\] done
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C)
\[\sqrt{4}\] done
clear
D)
\[\sqrt{3}\] done
clear
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question_answer43)
The product of \[4\sqrt{6}\] and \[3\sqrt{24}\] is
A)
124 done
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B)
134 done
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C)
144 done
clear
D)
154 done
clear
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question_answer44)
The value of \[4\times 100+3\times \frac{9}{100}\]is
A)
430.09 done
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B)
430.0009 done
clear
C)
430.009 done
clear
D)
430.900 done
clear
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question_answer45)
Which one of the following statements is correct?
A)
There can be a real number which is both rational and irrational. done
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B)
The sum of two irrational numbers is always irrational. done
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C)
For any real numbers x and y, \[x<y={{x}^{2}}<{{y}^{2}}\] done
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D)
Every integer is a rational number. done
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question_answer46)
The least number which is a perfect square and has 540 as a factor is
A)
8,100 done
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B)
6,400 done
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C)
4,900 done
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D)
3,600 done
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question_answer47)
The set of natural numbers is closed under the binary operations of
A)
addition, subtraction, multiplication and division. done
clear
B)
addition, subtraction, multiplication but not division. done
clear
C)
addition and multiplication but not subtraction and division. done
clear
D)
addition and subtraction but not multiplication and division. done
clear
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question_answer48)
If \[\frac{100\sqrt{25}}{\sqrt{25}+x}=50\], then the value of \[x\] is
A)
25 done
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B)
\[\frac{1}{\sqrt{25}}\] done
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C)
\[\sqrt{25}\] done
clear
D)
\[\frac{1}{25}\] done
clear
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question_answer49)
If D be subset of the set of all rational numbers, which can be expressed as terminating decimals, then D is closed under the binary operations of
A)
addition, subtraction and division. done
clear
B)
addition, multiplication and division. done
clear
C)
addition, subtraction and multiplication. done
clear
D)
subtraction, multiplication and division. done
clear
E)
None of these done
clear
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question_answer50)
The simplest rationalising factor of \[3\sqrt{75}\] is
A)
\[\sqrt{3}\] done
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B)
\[\sqrt{5}\] done
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C)
5 done
clear
D)
3 done
clear
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question_answer51)
The rationalising factor of \[(a+\sqrt{b})\]is
A)
\[a-\sqrt{b}\] done
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B)
\[\sqrt{a}-b\] done
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C)
\[\sqrt{a}-\sqrt{b}\] done
clear
D)
None of these done
clear
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question_answer52)
The simplest rationalising factor of \[\sqrt[4]{48}\] is
A)
\[\sqrt[4]{9}\] done
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B)
\[\sqrt[4]{27}\] done
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C)
\[\sqrt[3]{9}\] done
clear
D)
None of those done
clear
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question_answer53)
The total number of prime numbers between 120 and 140 is
A)
7 done
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B)
6 done
clear
C)
5 done
clear
D)
4 done
clear
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question_answer54)
Consider the following statements : The number 12,375 is
\[\text{I}\]divisible by 3 |
\[\text{II}\]divisible by 11 |
\[\text{III}\]divisible by 9 |
Of these statements :
A)
\[\text{I}\], \[\text{II}\] and \[\text{III}\] are correct. done
clear
B)
\[\text{I}\] and \[\text{II}\] are correct. done
clear
C)
\[\text{II}\] and \[\text{III}\] are correct. done
clear
D)
\[\text{I}\] and \[\text{III}\] are correct. done
clear
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question_answer55)
The correct least number when divided by 12, 16 and 18 leaves in each case a remainder 5, is
A)
149 done
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B)
293 done
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C)
337 done
clear
D)
481 done
clear
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question_answer56)
The value of \[|3-10|\] is
A)
7 done
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B)
-7 done
clear
C)
3+10 done
clear
D)
3 ? 10 done
clear
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question_answer57)
The distance between - 9 and 0 is
A)
0 done
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B)
9 done
clear
C)
8 done
clear
D)
? 9 done
clear
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question_answer58)
The decimal equivalent of \[\frac{5}{16}\]is
A)
0.3 done
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B)
0.31 done
clear
C)
0.312 done
clear
D)
0.3125 done
clear
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question_answer59)
In a party, the ratio of men to women is 5 : 3 and there are 85 men. How many women must be present in the party?
A)
37 done
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B)
39 done
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C)
41 done
clear
D)
51 done
clear
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question_answer60)
On a map, 1 inch represents 150 km. what is the actual distance between the two cities, if they are 4 % inches apart?
A)
225 done
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B)
300 done
clear
C)
525 done
clear
D)
675 done
clear
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question_answer61)
If 5 workers can build a fence in 65 days, how long would it take 13 workers to build the same fence?
A)
15 days done
clear
B)
20 days done
clear
C)
25 days done
clear
D)
35 days done
clear
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question_answer62)
If a sprinter takes 40 steps in 11 seconds. How many steps does he take in 55 seconds?
A)
173 done
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B)
180 done
clear
C)
190 done
clear
D)
200 done
clear
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question_answer63)
the ratio of men to women in an office is 7 to 5. Which of the following could not be the number of employees in the office?
A)
24 done
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B)
30 done
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C)
36 done
clear
D)
48 done
clear
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question_answer64)
If \[\sqrt{3}:(1+\sqrt{2})::\sqrt{6}:x\], then x is equal to
A)
\[\sqrt{3}+1\] done
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B)
\[\sqrt{2}-1\] done
clear
C)
\[\sqrt{2}-2\] done
clear
D)
\[\sqrt{2}+2\] done
clear
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question_answer65)
A box contains coins of 50 paise, 1 rupee an 2 rupees. For 240 coins in the box, the ratio of 50 paise to 1 rupee to 2 rupees is 8 : 17 : 15. How many 1 rupee coins are there in the box?
A)
48 done
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B)
90 done
clear
C)
102 done
clear
D)
108 done
clear
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question_answer66)
In the diagram, b : a == 2 : 7. What is a - b?
A)
20 done
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B)
40 done
clear
C)
100 done
clear
D)
140 done
clear
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question_answer67)
The population of a bacteria culture doubles in number every 12 minutes. The ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the; beginning of that hour is
A)
8 : 1 done
clear
B)
16 : 1 done
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C)
32 : 1 done
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D)
60 : 1 done
clear
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question_answer68)
If \[{{8}^{r}}={{4}^{t}}\], then the ratio of r to t is
A)
2: 3 done
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B)
3:2 done
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C)
4:3 done
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D)
3:4 done
clear
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question_answer69)
A turtle moves i inches in W minutes. At the rate, how many feet can it move in h hour?
A)
\[\frac{5hi}{m}\] done
clear
B)
\[\frac{60hi}{m}\] done
clear
C)
\[\frac{hi}{12m}\] done
clear
D)
\[\frac{5m}{hi}\] done
clear
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question_answer70)
If\[\frac{a}{3}=\frac{b}{4}=\frac{c}{7}\], then \[\frac{a+b+c}{c}=\]?
A)
\[\frac{1}{7}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
1 done
clear
D)
2 done
clear
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question_answer71)
Ten pipes of the same type can fill up a tank in 16 minutes. If two pipes go out of order, how long will the remaining pipes take to fill the tank?
A)
18 mins done
clear
B)
20 mins done
clear
C)
22 mins done
clear
D)
24 mins done
clear
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question_answer72)
If 20 people can build a wall in 7 days, then the number of persons required to complete the work in 35 days is
A)
4 done
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B)
8 done
clear
C)
12 done
clear
D)
20 done
clear
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question_answer73)
Rs.3960 are divided among A, B and C such that half of as part, one-third of B's part and one-sixth of C's part are equal. Then B's part is
A)
1200 done
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B)
1000 done
clear
C)
1080 done
clear
D)
900 done
clear
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question_answer74)
The ratio of number of boys and girls in a school of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1?
A)
100 done
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B)
120 done
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C)
80 done
clear
D)
150 done
clear
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question_answer75)
5 men can build a wall 108 m long in 6 days, what is the length of similar wall that can be built by 25 men in 3 days?
A)
75 done
clear
B)
80 done
clear
C)
85 done
clear
D)
90 done
clear
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question_answer76)
3 persons weave 168 shawls in 14 days, how many shawls will 8 persons weave in 5 days?
A)
90 done
clear
B)
105 done
clear
C)
115 done
clear
D)
160 done
clear
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question_answer77)
15 labourers can fill 35 boxes in 7 days. How many labourers can fill 65 boxes in 5 days?
A)
13 done
clear
B)
39 done
clear
C)
45 done
clear
D)
55 done
clear
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question_answer78)
What is the distance travelled at the speed of 30 km/hr for \[2\frac{1}{2}\] hours.
A)
75 km done
clear
B)
70 km done
clear
C)
65 km done
clear
D)
60 km done
clear
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question_answer79)
Calculate the time required to cover 90 km at the speed of 30 km/hr.?
A)
1 hr. done
clear
B)
3 hr. done
clear
C)
\[\frac{1}{3}\] hr. done
clear
D)
30 hr. done
clear
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question_answer80)
For a man covering a certain distance at 6 km/hr and returning at 4 km/hr. The average speed of the man is
A)
1.2 km/hr done
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B)
2.4 km/hr done
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C)
3.6 km/hr done
clear
D)
4.8 km/hr done
clear
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question_answer81)
If two cars are moving towards North with the speeds 40 km/hr and 25 km/hr respectively, then their relative speed will be
A)
5 km/hr done
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B)
15 km/hr done
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C)
25 km/hr done
clear
D)
35 km/hr done
clear
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question_answer82)
If two buses are moving in the opposite directions, their speed having 35 km/hr and 30 km/hr respectively, find their relative speed?
A)
5 km/hr done
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B)
15 km/hr done
clear
C)
25 km/hr done
clear
D)
65 km/hr done
clear
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question_answer83)
A man leaves a town at 8 a.m. on his bicycle moving at 10 km/hr. Another man leaves the same town at 9 a.m. on his scooter moving at 30 km/hr .At what time does he overtake the man on the bicycle?
A)
8. 30 a.m. done
clear
B)
9 a.m. done
clear
C)
9. 30 a.m. done
clear
D)
10 am done
clear
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question_answer84)
If two cars A and B move towards each other, where car A starts at 9 a.m. and car B at 10 a.m. The speeds of the car A and B ar 40 km/hr and 50 km/hr respectively. What distance does car travel when the two cars meet, if the initial distance between A and B is 400 km?
A)
100 km done
clear
B)
200 km done
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C)
300 km done
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D)
400 km done
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question_answer85)
The ratio between the rates of walking of A and B is 2: 3. If the time taken by B to cover a distance is 24minutes, find the time taken by A to cover the same distance.
A)
12 minutes done
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B)
24 minutes done
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C)
36 minutes done
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D)
48 minutes done
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