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question_answer1)
Find the decimal equivalent of \[\frac{9}{11}\].
A)
\[0.\overline{61}\] done
clear
B)
\[~0.\overline{71}\] done
clear
C)
\[0.\overline{81}\] done
clear
D)
\[~0.\overline{91}\] done
clear
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question_answer2)
Find the value of \[\left( 999\frac{1}{7}+999+\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7} \right)\]
A)
2997 done
clear
B)
5979 done
clear
C)
5994 done
clear
D)
5997 done
clear
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question_answer3)
Identify the example for identity property in addition of integers.
A)
-7 + (5 + 3) = (-7 + 5) + 3 done
clear
B)
-8 + (-3) = (-3) + (-8) done
clear
C)
(-15) + 0 = 0+ (-15) = -15 done
clear
D)
(+16) + (-16) = (-16) + (+16) = 0 done
clear
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question_answer4)
Find the product obtained when the reciprocal of\[-\frac{20}{15}\]is multiplied by \[\frac{1}{6}.\]
A)
8 done
clear
B)
\[\frac{1}{8}\] done
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C)
-8 done
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D)
\[-\frac{1}{8}\] done
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question_answer5)
Alice had 240 marbles. She gave\[\frac{1}{3}\] of the marbles to her brother and\[\frac{1}{4}\]of the remainder to her sister What fraction of the marbles had she left?
A)
\[\frac{1}{4}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{2}\] done
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D)
\[\frac{1}{5}\] done
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question_answer6)
Ashok and Sumit participated in a 100 metre race. Ashok took \[18\frac{1}{5}\]seconds and Sumit took \[21\frac{3}{4}\] seconds to finish the race. How much longer did Sumit take than Ashok?
A)
\[3\frac{20}{10}\] seconds done
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B)
\[3\frac{12}{20}\]seconds done
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C)
\[3\frac{11}{20}\]seconds done
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D)
\[\frac{11}{20}\] seconds done
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question_answer7)
The ratio of two numbers is 3:8 and their difference is 115. What is the larger number?
A)
69 done
clear
B)
115 done
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C)
184 done
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D)
230 done
clear
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question_answer8)
Find the value of\[\frac{7}{\sqrt{10}+\sqrt{3}}.\]
A)
\[{{(\sqrt{10}+\sqrt{3})}^{2}}\] done
clear
B)
\[7(\sqrt{10}-\sqrt{3})\] done
clear
C)
\[\sqrt{10}-\sqrt{3}\] done
clear
D)
\[7(\sqrt{10}+\sqrt{3})\] done
clear
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question_answer9)
Which of the following is a rational number?
A)
\[\sqrt{243}\] done
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B)
\[\sqrt{72}\] done
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C)
\[\sqrt{121}\] done
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D)
\[\sqrt{98}\] done
clear
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question_answer10)
Which of the following conclusions, is true about the statement in the box?
A)
The statement is always true. done
clear
B)
The statement is true when "x" is negative. done
clear
C)
The statement is true when \[x=0.\] done
clear
D)
The statement is never true. done
clear
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question_answer11)
Find the value of \[\sqrt{{{a}^{4}}}\times \sqrt{{{b}^{6}}}\times \sqrt{{{c}^{16}}}.\]
A)
\[{{a}^{2}}{{b}^{3}}{{c}^{4}}\] done
clear
B)
\[{{a}^{2}}{{b}^{3}}{{c}^{8}}\] done
clear
C)
\[{{a}^{8}}{{b}^{12}}{{c}^{32}}\] done
clear
D)
\[{{a}^{2}}{{b}^{3}}{{c}^{6}}\] done
clear
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question_answer12)
Shanker's family consumed\[3\frac{1}{2}\text{kg}\]sugar in the first 15 days of a month. For the next 15 days they consumed\[3\frac{3}{4}\text{kg}\]sugar. How much sugar did they consume for the whole month?
A)
\[5\frac{1}{2}kg\] done
clear
B)
\[7\frac{1}{4}kg\] done
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C)
\[6\frac{1}{3}kg\] done
clear
D)
\[4\frac{3}{4}kg\] done
clear
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question_answer13)
If 'a' and 'b' are two non-negative real numbers, which of the following is true?
A)
\[\sqrt{a}+\sqrt{b}=\sqrt{a+b}\] done
clear
B)
\[\sqrt{a}-\sqrt{b}=\sqrt{a-b}\] done
clear
C)
\[\sqrt{a}-\sqrt{b}\ne \sqrt{a-b}\] done
clear
D)
\[\sqrt{a}+\sqrt{b}=\sqrt{ab}\] done
clear
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question_answer14)
The sum of three consecutive whole numbers is 102. Find their product.
A)
24128 done
clear
B)
10540 done
clear
C)
32420 done
clear
D)
39270 done
clear
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question_answer15)
By taking \[\pi =3.141\]and \[\sqrt{2}=1.414,\]evaluate\[\frac{2\pi +3\sqrt{2}}{5}\] upto three places of decimals.
A)
2.104 done
clear
B)
2.105 done
clear
C)
3.428 done
clear
D)
4.646 done
clear
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question_answer16)
Find the prime factorization of 1089.
A)
\[3\times 7\times 3\times 2\] done
clear
B)
\[3\times 3\times 7\times 7\] done
clear
C)
\[3\times 11\times 3\times 3\] done
clear
D)
\[3\times 3\times 11\times 11\] done
clear
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question_answer17)
Find the quotient when the product of 12 and 21 is divided by 9.
A)
24 done
clear
B)
26 done
clear
C)
28 done
clear
D)
21 done
clear
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question_answer18)
What is the area of a triangle whose base is \[11\frac{1}{4}cm\]and height\[5\frac{2}{5}cm\]?
A)
\[3\frac{3}{8}c{{m}^{2}}\] done
clear
B)
\[10\frac{3}{8}c{{m}^{2}}\] done
clear
C)
\[30\frac{3}{8}c{{m}^{2}}\] done
clear
D)
\[40\frac{3}{8}c{{m}^{2}}\] done
clear
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question_answer19)
Find the value of \[\left( \frac{-2}{3} \right)\div \left[ \frac{1}{2}-\left( -\frac{1}{3} \right) \right].\]
A)
\[\frac{-1}{5}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{-4}{5}\] done
clear
D)
\[\frac{2}{5}\] done
clear
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question_answer20)
Find the product of a rational number and its reciprocal.
A)
0 done
clear
B)
2 done
clear
C)
1 done
clear
D)
-1 done
clear
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question_answer21)
Find the value of \[\left( -2\frac{2}{5} \right)\times \frac{3}{4}.\]
A)
\[\frac{5}{9}\] done
clear
B)
\[\frac{-9}{5}\] done
clear
C)
\[\frac{5}{2}\] done
clear
D)
\[\frac{-2}{5}\] done
clear
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question_answer22)
What must be subtracted from\[\frac{11}{18}\]to get \[\frac{7}{36}?\]
A)
\[\frac{11}{17}\] done
clear
B)
\[\frac{5}{12}\] done
clear
C)
\[\frac{6}{5}\] done
clear
D)
\[2\frac{5}{6}\] done
clear
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question_answer23)
Find the value of \[2\frac{2}{5}+1\frac{1}{3}+\frac{5}{6}.\]
A)
\[4\frac{5}{30}\] done
clear
B)
\[3\frac{2}{30}\] done
clear
C)
\[4\frac{17}{30}\] done
clear
D)
\[6\frac{11}{30}\] done
clear
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question_answer24)
Which property of multiplication is involved in the following? \[\left( \frac{3}{5}\times \frac{1}{7} \right)\times \frac{8}{11}=\frac{3}{5}=\left( \frac{1}{7}\times \frac{8}{11} \right)\]
A)
Distributive property done
clear
B)
Associative property done
clear
C)
Commutative property done
clear
D)
Additive identity property done
clear
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question_answer25)
The sum of two rational numbers is \[1\frac{5}{36}.\] If one of them is\[\frac{7}{12},\] find the other.
A)
\[\frac{3}{2}\] done
clear
B)
\[\frac{4}{5}\] done
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C)
\[\frac{6}{7}\] done
clear
D)
\[\frac{5}{9}\] done
clear
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question_answer26)
Find the value of\[2\frac{1}{5}+3\frac{3}{10}-1\frac{1}{4}-\frac{1}{2}.\]
A)
\[1\frac{1}{4}\] done
clear
B)
\[1\frac{3}{2}\] done
clear
C)
\[3\frac{3}{4}\] done
clear
D)
\[5\frac{3}{2}\] done
clear
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question_answer27)
Find three rational numbers between \[\frac{1}{4}\] and \[\frac{1}{8}.\]
A)
\[\frac{1}{16},\frac{2}{34},\frac{3}{64}\] done
clear
B)
\[\frac{13}{8},\frac{5}{16},\frac{7}{32}\] done
clear
C)
\[\frac{1}{8},\frac{3}{16},\frac{5}{24}\] done
clear
D)
\[\frac{3}{16},\frac{5}{32},\frac{9}{64}\] done
clear
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question_answer28)
Which of the following number lines has \[\frac{5}{2}\] represented on it?
A)
B)
C)
D)
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question_answer29)
Which of the following is true? (i) \[-\left( \frac{-2}{3} \right)=\frac{2}{3}\] (ii) The multiplicative inverse of \[\frac{-5}{9}\times \frac{-2}{3}\] is\[\frac{-10}{27}\] (iii) \[\frac{-7}{5}+0=\frac{-7}{5}\] (iv) 1 is called the multiplicative identity
A)
Only (i), (ii) and (iii) done
clear
B)
Only (i), (ii) and (iv) done
clear
C)
Only (ii), (iii) and (iv) done
clear
D)
Only (i), (iii) and (iv) done
clear
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question_answer30)
By what rational number should\[3\frac{4}{5}\]be multiplied, to get \[20\frac{4}{15}?\]
A)
\[1\frac{1}{2}\] done
clear
B)
\[5\frac{1}{3}\] done
clear
C)
\[2\frac{1}{4}\] done
clear
D)
\[3\frac{1}{5}\] done
clear
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question_answer31)
The perimeter of a triangle is \[2\frac{1}{4}cm.\] Two of its sides measure\[\frac{2}{3}cm\] and \[\frac{5}{6}cm.\]Find the length of the third side.
A)
\[\frac{3}{8}\] done
clear
B)
\[\frac{3}{4}\] done
clear
C)
\[\frac{5}{8}\] done
clear
D)
\[\frac{7}{4}\] done
clear
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question_answer32)
How many pieces, each of length \[4\frac{2}{3}\]metres can be cut from a roll of ribbon of length 70 metres?
A)
12 done
clear
B)
13 done
clear
C)
14 done
clear
D)
15 done
clear
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question_answer33)
The cost of 1 litre of milk is Rs. \[15\frac{3}{4}\] What is the cost of\[2\frac{2}{3}\]litres of milk?
A)
Rs. 38 done
clear
B)
Rs. 40 done
clear
C)
Rs. 41 done
clear
D)
Rs. 42 done
clear
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question_answer34)
Which of the following is the descending order of the given rational numbers?
A)
\[\frac{3}{4},\frac{6}{7},\frac{1}{8},\frac{2}{5}\] done
clear
B)
\[\frac{2}{5},\frac{1}{8},\frac{3}{4},\frac{6}{7}\] done
clear
C)
\[\frac{6}{7},\frac{3}{4},\frac{2}{5},\frac{1}{8}\] done
clear
D)
\[\frac{6}{7},\frac{3}{4},\frac{1}{8},\frac{2}{5}\] done
clear
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question_answer35)
Which of the following divides the sum of three consecutive odd numbers?
A)
2 done
clear
B)
3 done
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C)
5 done
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D)
6 done
clear
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question_answer36)
If \[x\oplus y=\frac{x+y}{2},\]which of the following statements is true?
A)
\[7\oplus 5=6\] done
clear
B)
\[8\oplus 5=7\] done
clear
C)
\[9\oplus 8=9\] done
clear
D)
\[10\oplus 6=5\] done
clear
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question_answer37)
For what value of * is the statement\[\left( \frac{*}{15} \right)\left( \frac{*}{135} \right)=1\]true?
A)
15 done
clear
B)
25 done
clear
C)
35 done
clear
D)
45 done
clear
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question_answer38)
What Is the value of \[\frac{(P+Q)}{(P-Q)}\]if \[\frac{P}{Q}=7?\]
A)
\[\frac{1}{3}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{4}{3}\] done
clear
D)
\[\frac{7}{8}\] done
clear
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question_answer39)
\[30-\left( \frac{2}{7}\div \frac{2}{21} \right)=x,\]find the value of 'x'.
A)
312 done
clear
B)
\[29\frac{143}{147}\] done
clear
C)
28 done
clear
D)
27 done
clear
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question_answer40)
What is the additive inverse of the multiplicative inverse of
A)
\[\frac{7}{9}\] done
clear
B)
\[\frac{-7}{9}\] done
clear
C)
\[\frac{9}{7}\] done
clear
D)
\[\frac{-9}{7}\] done
clear
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