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question_answer1)
Which one among the following statements is not true?
A)
\[-16\div \left[ 4\div \left( -8 \right) \right]=32\] done
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B)
\[-75\div 15\] is not equal to \[15\div -75\] done
clear
C)
-6 lies between-13 and-7 done
clear
D)
\[-\text{ }13\text{ }x\text{ }\left( +\text{ }14 \right)\text{ }-\text{ }\left( -\text{ }182 \right)\] is equal to 0 done
clear
E)
None of these done
clear
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question_answer2)
If A is an operation such that for integers m and n, we get\[\mathbf{m}\text{ }\Delta \text{ }\mathbf{n}\text{ }=\text{ }\mathbf{m}\text{ }\mathbf{x}\text{ }\mathbf{m}\text{ }\mathbf{x}\text{ }\mathbf{m}+\mathbf{n}\text{ }\mathbf{x}\text{ }\mathbf{n}\text{ }\mathbf{x}\text{ }\mathbf{n}-\mathbf{3}\text{ }\mathbf{x}\text{ }\mathbf{m}\text{ }\mathbf{x}\text{ }\mathbf{n}\], then find\[\left( -\text{ }\mathbf{4} \right)\text{ }\Delta \text{ }\mathbf{5}\].
A)
- 111 done
clear
B)
121 done
clear
C)
131 done
clear
D)
- 141 done
clear
E)
None of these done
clear
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question_answer3)
The next number in the pattern - 34, - 21, - 8, 5, _________ is
A)
17 done
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B)
18 done
clear
C)
19 done
clear
D)
20 done
clear
E)
None of these done
clear
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question_answer4)
Which of the following does not represent an integer?
A)
\[0\text{ }\div \text{ }\left( -\text{ }4 \right)\] done
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B)
\[-\text{ }35\text{ }\div \text{ }15\] done
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C)
\[75\div \left( -25 \right)\] done
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D)
\[105\div 7\] done
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E)
None of these done
clear
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question_answer5)
If \[\mathbf{m}\text{ }+\text{ }\mathbf{1}\] and \[\mathbf{n}\text{ }-\text{ }\mathbf{1}\] are integers then which of the following may not be an integer?
A)
\[\left( m+n \right)~\] done
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B)
\[\left( m\text{ }+\text{ }5 \right)\text{ }-\text{ }\left( n\text{ }+\text{ }2 \right)\] done
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C)
\[\left( m-3 \right)\,\,\div \,\,\left( n+4 \right)~\] done
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D)
\[\left( m\text{ }+\text{ }2 \right)\times \left( n\text{ }-\text{ }3 \right)\] done
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E)
None of these done
clear
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question_answer6)
Which one among the following is not a correct statement?
A)
The multiplicative inverse of zero does not exist. done
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B)
The product of a proper and improper fraction is always less than the improper fraction. done
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C)
All rational numbers cannot be represented on the number line. done
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D)
The sum of two proper fractions may be an improper fraction. done
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E)
None of these done
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question_answer7)
The LCM and HCF of two numbers are 196 and 20 respectively. How many such pair(s) of numbers is possible?
A)
0 done
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B)
1 done
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C)
2 done
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D)
3 done
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E)
None of these done
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question_answer8)
Find the greatest four-digit number which when divided by 20, 30, 35 and 45 leaves remainder 12 in each case.
A)
8442 done
clear
B)
8242 done
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C)
8832 done
clear
D)
9892 done
clear
E)
None of these done
clear
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question_answer9)
The product of two proper fractions is ________.
A)
not less than one done
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B)
less than each of the two fractions done
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C)
more than one done
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D)
more than each of the two fractions done
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E)
None of these done
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question_answer10)
If we multiply a fraction by its reciprocal and add the product to its additive inverse, we get the fraction\[\mathbf{2}\frac{\mathbf{1}}{\mathbf{11}}\]. Find the original fraction.
A)
\[-2\frac{1}{11}\] done
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B)
\[-1\frac{1}{11}\] done
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C)
\[1\frac{1}{11}\] done
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D)
\[2\frac{1}{11}\] done
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E)
None of these done
clear
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question_answer11)
The smallest possible decimal up to four decimal places is_______.
A)
0.1000 done
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B)
0.0001 done
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C)
0.0010 done
clear
D)
0.0100 done
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E)
None of these done
clear
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question_answer12)
The HCF and LCM of two numbers are 140 and 29400. If one of the numbers is 840, then find the other number.
A)
8100 done
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B)
4700 done
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C)
4850 done
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D)
4900 done
clear
E)
None of these done
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question_answer13)
The greatest number which can divide 251 and 284 by leaving remainders 13 and 12 respectively is _________
A)
18 done
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B)
17 done
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C)
34 done
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D)
36 done
clear
E)
None of these done
clear
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question_answer14)
The descending order of \[\frac{\mathbf{11}}{\mathbf{13}}\mathbf{, }\frac{\mathbf{10}}{\mathbf{11}}\mathbf{, }\frac{\mathbf{12}}{\mathbf{17}}\mathbf{, }\frac{\mathbf{3}}{\mathbf{7}}\mathbf{, }\frac{\mathbf{4}}{\mathbf{5}}\]is __________
A)
\[\frac{12}{17}>\frac{11}{13}>\frac{4}{5}>\frac{3}{7}>\frac{10}{11}\] done
clear
B)
\[\frac{12}{17}<\frac{11}{13}<\frac{4}{5}<\frac{3}{7}<\frac{10}{11}\] done
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C)
\[\frac{10}{11}>\frac{11}{13}>\frac{4}{5}>\frac{12}{17}>\frac{3}{7}\] done
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D)
\[\frac{10}{11}<\frac{11}{13}<\frac{4}{5}<\frac{12}{17}<\frac{3}{7}\] done
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E)
None of these done
clear
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question_answer15)
Which one of the following is the correct interpretation of expression 13 - 15?
A)
Start at 13 on the number line and move 15 on the right. done
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B)
Start at 13 on the number line and move 15 on the left. done
clear
C)
Start at 15 on the number line and move 13 on the right. done
clear
D)
Start at 15 on the number line and move 13 on the left. done
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E)
None of these done
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question_answer16)
34.678678678 is a/an
A)
integer done
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B)
whole number done
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C)
rational number done
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D)
irrational number done
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E)
None of these done
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question_answer17)
Anil has \[\frac{\mathbf{2}}{\mathbf{3}}\] of a cake. He ate \[\frac{\mathbf{4}}{\mathbf{7}}\] of it. What part of the cake has he eaten?
A)
\[\frac{2}{7}\] done
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B)
\[\frac{2}{21}\] done
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C)
\[\frac{5}{21}\] done
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D)
\[\frac{3}{5}\] done
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E)
None of these done
clear
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question_answer18)
The second least value of the fraction among \[\frac{\mathbf{17}}{\mathbf{19}}\mathbf{,}\,\frac{\mathbf{10}}{\mathbf{13}}\mathbf{,}\,\frac{\mathbf{13}}{\mathbf{15}}\mathbf{,}\,\frac{\mathbf{2}}{\mathbf{9}}\mathbf{,}\,\frac{\mathbf{3}}{\mathbf{8}}\] is _________
A)
\[\frac{3}{8}\] done
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B)
\[\frac{10}{13}\] done
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C)
\[\frac{13}{15}\] done
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D)
\[\frac{2}{9}\] done
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E)
None of these done
clear
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question_answer19)
The value of
is_______
A)
\[1\frac{26}{43}\] done
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B)
\[2\frac{26}{43}\] done
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C)
\[1\frac{17}{37}\] done
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D)
\[\frac{17}{37}\] done
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E)
None of these done
clear
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question_answer20)
The least number which when decreased by 19 is exactly divisible by 24, 26, 28 and 32 is _________
A)
4095 done
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B)
8736 done
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C)
8755 done
clear
D)
4076 done
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E)
None of these done
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question_answer21)
The smallest number by which 294 must be multiplied so that the product becomes a perfect square is _________
A)
7 done
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B)
2 done
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C)
3 done
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D)
6 done
clear
E)
None of these done
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question_answer22)
The smallest number of four digits exactly divisible by 12, 16, 18 and 22 is
A)
3064 done
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B)
3168 done
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C)
1584 done
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D)
144 done
clear
E)
None of these done
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question_answer23)
Find the smallest number by which 2340 must be multiplied so that the product is a perfect cube.
A)
23350 done
clear
B)
25350 done
clear
C)
6580 done
clear
D)
11780 done
clear
E)
None of these done
clear
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question_answer24)
The least perfect square exactly divisible by each of the numbers 3, 7, 9,12 and 15 is ________
A)
78400 done
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B)
44100 done
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C)
19600 done
clear
D)
12600 done
clear
E)
None of these done
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question_answer25)
The sum of two numbers is 40 and their product is 3680. The sum of their reciprocals is ________.
A)
\[\frac{2}{77}\] done
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B)
\[\frac{2}{47}\] done
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C)
\[\frac{1}{84}\] done
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D)
\[\frac{1}{92}\] done
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E)
None of these done
clear
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question_answer26)
\[\sqrt{\mathbf{28}\frac{\mathbf{4}}{\mathbf{9}}}\mathbf{-}\sqrt{\mathbf{30}\frac{\mathbf{1}}{\mathbf{4}}}\] is equal to ____.
A)
\[\frac{1}{2}\] done
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B)
\[\frac{-1}{6}\] done
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C)
\[\frac{1}{6}\] done
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D)
\[\frac{1}{3}\] done
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E)
None of these done
clear
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question_answer27)
\[\mathbf{0}.\overline{\mathbf{3}}+\mathbf{0}.\overline{\mathbf{4}}\] is equal to __________.
A)
0.777 done
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B)
0.7777_______ done
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C)
\[\frac{7}{9}\] done
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D)
both B and C done
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E)
None of these done
clear
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question_answer28)
The least number which when divided by 24, 28 and 32 leaves zero as its remainder, is ________
A)
784 done
clear
B)
568 done
clear
C)
720 done
clear
D)
672 done
clear
E)
None of these done
clear
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question_answer29)
Which one among the following is true?
A)
\[\sqrt{m}+\sqrt{n}=\sqrt{m+n}\] done
clear
B)
\[\sqrt{(m+1)}+\sqrt{(n+1)}=\sqrt{(m+1)(n+1)}\] done
clear
C)
\[\sqrt{m}-\sqrt{n}=\sqrt{m-n}\] done
clear
D)
\[\frac{1}{\sqrt{m}+\sqrt{n}}=\sqrt{m}-\sqrt{n}\] done
clear
E)
None of these done
clear
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question_answer30)
\[\mathbf{3}.\overline{\mathbf{2}}\text{ }+\text{ }\mathbf{2}.\overline{\mathbf{3}}\text{ }+\text{ }\mathbf{5}.\overline{\mathbf{7}}\] =_________.
A)
11.323232.............. done
clear
B)
11.333333.............. done
clear
C)
10.323232 done
clear
D)
11.3333 done
clear
E)
None of these done
clear
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question_answer31)
If \[\mathbf{m}\text{ }=\text{ }\left( -\text{ }\mathbf{28} \right)\text{ }+\text{ }\mathbf{26}\text{ }+\text{ }\left( -\text{ }\mathbf{28} \right)\text{ }+\text{ }\mathbf{26}\text{ }+\text{ }\_\_\_\_\] \[\left( \mathbf{40}\text{ }\mathbf{terms} \right)\text{ }\mathbf{and}\text{ }\mathbf{n}\text{ }=\text{ }\mathbf{39}\text{ }+\text{ }\left( -\text{ }\mathbf{35} \right)\text{ }+\text{ }\mathbf{39}\text{ }+\] \[\left( -\text{ }\mathbf{35} \right)\text{ }+\_\_\_\_\_\_\text{ }\left( \mathbf{40}\text{ }\mathbf{terms} \right)\] then m-n is equal to.
A)
-120 done
clear
B)
40 done
clear
C)
-40 done
clear
D)
120 done
clear
E)
None of these done
clear
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question_answer32)
If A = \[{{\left( -\text{ }1 \right)}^{1}}+{{\left( -\text{ }1 \right)}^{2}}+{{\left( -\text{ }1 \right)}^{3}}+\_\_\_\_\_\_+{{\left( -\text{ }1 \right)}^{1001}}\] and B = \[{{\left( -\text{ }1 \right)}^{1}}-{{\left( -\text{ }1 \right)}^{2}}+{{\left( -\text{ }1 \right)}^{3}}-{{\left( -\text{ }1 \right)}^{4}}+\_\_\_\_\_\_+{{\left( -\text{ }1 \right)}^{1001}},\text{ }\] then find A - B.
A)
-1002 done
clear
B)
1000 done
clear
C)
-1001 done
clear
D)
1001 done
clear
E)
None of these done
clear
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question_answer33)
The LCM of two numbers is 1800. Which of the following cannot be the HCF of two numbers?
A)
45 done
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B)
225 done
clear
C)
400 done
clear
D)
200 done
clear
E)
None of these done
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question_answer34)
Which among the following has the least value? \[\frac{\mathbf{36}}{\mathbf{0}\mathbf{.005}}\], \[\frac{\mathbf{0}\mathbf{.360}}{\mathbf{50}}\], \[\frac{\mathbf{3}\mathbf{.6}}{\mathbf{0}\mathbf{.05}}\], \[\frac{\mathbf{0}\mathbf{.36}}{\mathbf{500}}\]
A)
\[\frac{36}{0.005}\] done
clear
B)
\[\frac{0.360}{50}\] done
clear
C)
\[\frac{3.6}{0.05}\] done
clear
D)
\[\frac{0.36}{500}\] done
clear
E)
None of these done
clear
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question_answer35)
How many \[\frac{\mathbf{3}}{\mathbf{5}}\] kg pieces can be cut from a cake of weight 6 kg?
A)
12 done
clear
B)
10 done
clear
C)
8 done
clear
D)
9 done
clear
E)
None of these done
clear
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question_answer36)
Solve: \[\frac{\mathbf{1}}{\mathbf{3}\frac{\mathbf{4}}{\mathbf{5}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{5}\frac{\mathbf{3}}{\mathbf{7}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{3}\frac{\mathbf{9}}{\mathbf{16}}}\mathbf{-}\frac{\mathbf{1}}{\mathbf{5}\frac{\mathbf{5}}{\mathbf{18}}}\]
A)
\[\frac{303}{470}\] done
clear
B)
\[\frac{307}{570}\] done
clear
C)
\[\frac{209}{470}\] done
clear
D)
\[\frac{323}{570}\] done
clear
E)
None of these done
clear
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question_answer37)
Taking today as zero on the number line, if the day before yesterday is 11 May, what is the date 2 days after day after tomorrow?
A)
17th May done
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B)
16th May done
clear
C)
18 th May done
clear
D)
19th May done
clear
E)
None of these done
clear
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question_answer38)
Isha and Angelina participated in a hurdle race. The race was conducted in 7 parts. In the first part, Isha lost by 10 seconds. In the second part she won by \[\mathbf{1}\frac{\mathbf{1}}{\mathbf{2}}\] minutes. In the third part Angelina won by 25 seconds but she lost it by 15 seconds in fourth part and won it by 1 minute in fifth part. In the sixth part Isha won by 8 seconds and in the last part of the race, Angelina won it by 20 seconds. Who won the race finally and by how much time?
A)
Isha, by 2 seconds done
clear
B)
Angelina, by 3 seconds done
clear
C)
Isha, by 3 seconds done
clear
D)
Angelina, by 2 seconds done
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E)
None of these done
clear
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question_answer39)
A multistory building has 38 floors above the ground level each of height 7m. It also has 4 floors in the basement each of height 6m. A lift in building moves at a rate of 2m/sec. If a man starts from 170m above the ground, how long will it take him to reach at 3rd floor of basement?
A)
1 minute 34 seconds done
clear
B)
1 minute 24 seconds done
clear
C)
1 minute 38 seconds done
clear
D)
1 minute 20 seconds done
clear
E)
None of these done
clear
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question_answer40)
In a test, + 4 marks are given for every correct answer and - 1 mark for every incorrect answer and 0 for not choosing any answer. If Yashika secured 110 marks in the test having 40 questions, then which one among the following can be a possibility of marking a correct or incorrect answer by her?
A)
28 correct, 2 incorrect done
clear
B)
29 correct, 6 incorrect done
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C)
30 correct, 10 incorrect done
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D)
All the above done
clear
E)
None of these done
clear
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