The multiplicative inverse of\[-\,2\,\,\frac{2}{3}\] is:
A)
\[\frac{3}{8}\]
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B)
\[\frac{-3}{8}\]
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C)
\[2\,\,\frac{2}{3}\]
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D)
\[4\,\,\frac{2}{3}\]
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E)
None of these
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On a certain day a man travelled \[\frac{37}{8}\]km by bike,\[\frac{3}{2}\] km by car and 75 km by train. Total distance travelled by him is:
A)
\[150\,\,Km\]
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B)
\[\frac{649}{8}\,\,Km\]
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C)
\[\frac{329}{8}\,\,Km\]
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D)
\[649\,\,Km\,\]
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E)
None of these
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The product of a rational number and its reciprocal is always equal to:
A)
0
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B)
1
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C)
2
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D)
The number itself
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E)
None of these
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The product of two numbers is \[\frac{a}{b}\] . If one of the number is \[\frac{a}{{{b}^{2}}},\]then the other one will be:
A)
\[\frac{{{a}^{2}}}{b}\]
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B)
\[\frac{a}{{{b}^{2}}}\]
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C)
\[\frac{{{b}^{2}}}{{{a}^{3}}}\]
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D)
\[\frac{{{b}^{3}}}{{{a}^{2}}}\]
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E)
None of these
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If \[{{a}^{x}}=b,\] \[{{b}^{y}}=c\] and \[{{c}^{z}}=a,\] then\[xyz\] is equal to:
A)
abc
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B)
\[\frac{1}{abc}\]
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C)
0
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D)
1
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E)
None of these
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By what number should be divide\[{{(-\,24)}^{-\,1}},\] so that the quotient may be \[{{3}^{-1}}\]?
A)
\[-1\]
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B)
\[-8\]
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C)
\[\frac{1}{8}\]
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D)
\[-\frac{1}{8}\]
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E)
None of these
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Find the square root of 0.000289.
A)
0.023
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B)
0.017
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C)
0.033
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D)
0.037
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E)
None of these
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If\[\sqrt{5184}=72,\]then\[\sqrt{5184}+\sqrt{51.84}+\sqrt{0.005184}\]is equal to:
A)
79.369
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B)
79.464
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C)
79.272
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D)
79.646
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E)
None of these
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If \[\sqrt{3018+\sqrt{36+\sqrt{169}}}=x,\]then the value of x is:
A)
42
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B)
44
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C)
55
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D)
63
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E)
None of these
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Find the smallest number by which 864 must be multiplied so that the product will be a perfect cube.
A)
3
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B)
2
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C)
8
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D)
5
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E)
None of these
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If \[y=\sqrt[3]{2\frac{8}{216}},\]then find the value of\[y\].
A)
\[\frac{4}{6}\]
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B)
\[\frac{4}{3}\]
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C)
\[\frac{3}{7}\]
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D)
\[\frac{7}{6}\]
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E)
None of these
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If the sum of a number and its cube is 520, then the number will be:
A)
6
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B)
8
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C)
12
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D)
16
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E)
None of these
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The product of\[(5{{x}^{2}}+3{{y}^{2}})\] and \[(8{{x}^{2}}+7{{y}^{2}})\]is:
A)
\[25{{x}^{3}}+59{{x}^{2}}{{y}^{3}}+21{{y}^{4}}\]
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B)
\[15{{x}^{3}}+59{{x}^{5}}{{y}^{2}}+21{{y}^{4}}\]
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C)
\[40{{x}^{5}}+55{{x}^{2}}{{y}^{3}}+21{{y}^{4}}\]
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D)
\[40{{x}^{4}}+59{{x}^{2}}{{y}^{2}}+21{{y}^{4}}\]
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E)
None of these
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If \[a+\frac{1}{a}=x+y\]and\[a-\frac{1}{a}=x-y,\]then:
A)
\[xy=1\]
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B)
\[x=y\]
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C)
\[xy=2\]
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D)
\[x+y=0\]
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E)
None of these
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Find the remainder when \[60{{y}^{4}}+12{{y}^{3}}-36{{y}^{2}}-42y+24\] is divided by\[5y+15\].
A)
\[-\,4314\]
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B)
4314
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C)
4362
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D)
4214
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E)
None of these
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Find the quotient, if \[{{y}^{3}}-6{{y}^{2}}+9y-2\] is divided by\[y-2\].
A)
\[{{y}^{2}}+4y+1\]
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B)
\[{{y}^{2}}-4y+1\]
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C)
\[{{y}^{2}}+4y-1\]
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D)
\[{{y}^{2}}-4y-1\]
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E)
None of these
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The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes\[\frac{1}{2}\]. Find the fraction.
A)
\[\frac{3}{7}\]
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B)
\[\frac{1}{3}\]
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C)
\[\frac{2}{5}\]
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D)
\[\frac{4}{7}\]
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E)
None of these
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A number is such that it is as much greater than 84 as it is less than 108. Find the number.
A)
100
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B)
105
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C)
96
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D)
98
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E)
None of these
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There are 300 cats in a village and 75 of them are black, 65 of them are brown, 90 of them are white and rest of them are of mixed colours. What is the percentage of mixed colour cats in the village?
A)
\[23\,\,\frac{1}{3}%\]
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B)
\[25\,\,\frac{1}{5}%\]
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C)
\[30%\]
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D)
\[28\,\,\frac{2}{5}%\]
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E)
None of these
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Thomas asked Harry to think of two different numbers such that 30 % of the greater number is equal to the 50% of the smaller number. If Harry says that the sum of two numbers is 120, then the greater number he thinks is:
A)
25
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B)
15
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C)
45
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D)
75
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E)
None of these
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If Maria had Rs. 600 left after spending 75 % of her money, then how much did she have in the beginning?
A)
Rs. 1200
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B)
Rs. 1400
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C)
Rs. 2400
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D)
Rs. 2000
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E)
None of these
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Rishi bought a wrist watch for Rs. 2200 and sold it for Rs. 1980. Find his loss percent.
A)
15%
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B)
10%
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C)
12%
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D)
14%
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E)
None of these
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A person sells an article for Rs. 550, gaining \[\frac{1}{10}\]of its cost price. Find gain percent.
A)
10%
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B)
12%
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C)
8%
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D)
15%
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E)
None of these
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After allowing a discount of \[7\,\,\frac{1}{2}%\] on the marked price, an article is sold for Rs. 555. Find its marked price.
A)
Rs. 650
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B)
Rs. 600
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C)
Rs. 675
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D)
Rs. 625
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E)
None of these
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A worker is paid Rs. 200 for 8 days work. If he works for 20 days, how much will he get?
A)
Rs. 300
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B)
Rs. 450
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C)
Rs. 500
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D)
Rs. 550
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E)
None of these
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A pipe can fill a cistern in 6 hours. Due to a leak in the bottom it is filled in 7 hours. When the cistern is full, in how much hours will it be emptied by the leak?
A)
40
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B)
42
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C)
35
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D)
45 ss
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E)
None of these
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If\[x*y=xy-\frac{x}{y},\]then the value of \[6*\frac{1}{3}\] is
A)
\[16\]
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B)
\[17\]
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C)
\[-16\]
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D)
\[-17\]
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E)
None of these
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\[\frac{2}{3}\,\,rd\]of a number when multiplied by \[\frac{3}{4}\,\,th\] of the same number make 338. The number is
A)
18
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B)
24
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C)
36
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D)
26
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E)
None of these
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A glass full of water weight 100 gm. An empty glass weights 45 gm 320 mg. How much water can the glass hold?
A)
54.68 gm
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B)
145.32 gm
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C)
55.68 gm
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D)
60 gm
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E)
None of these
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Which of the following is the greatest of the three numbers? \[x={{(5)}^{1/3}},\] \[y={{(19)}^{1/4}},\]\[z={{(21)}^{1/6}}\]
A)
\[x\]
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B)
\[y\]
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C)
\[z\]
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D)
\[x=y\]
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E)
None of these
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If \[3\,\,\frac{1}{x}\times 3\,\,\frac{3}{4}\,=12\,\,\frac{1}{2},\] then the value of \[x\]is.
A)
1
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B)
\[\frac{1}{3}\]
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C)
2
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D)
3
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E)
None of these
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\[\frac{{{(2.3)}^{3}}-0.027}{{{(2.3)}^{2}}+0.69+0.09}=?\]
A)
0
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B)
2.6
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C)
2.3
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D)
2.0
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E)
None of these
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Find the rate of interest per annum at which a sum of money becomes double in 8 years.
A)
\[13\,\,\frac{1}{2}%\]
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B)
\[12\,\,\frac{1}{2}%\]
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C)
\[11\,\,\frac{1}{2}%\]
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D)
\[10\,\,\frac{1}{2}%\]
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E)
None of these
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Find the compound interest on Rs. 8000 at 20% per annum for 9 months, compounded quarterly.
A)
Rs. 200
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B)
Rs.1300
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C)
Rs. 1261
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D)
Rs.1375
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E)
None of these
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In a rhombus the side and one of its diagonals are 25 and 40 metres respectively. Find the area
A)
\[600\,{{m}^{2}}\]
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B)
\[300\,{{m}^{2}}\]
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C)
\[250\,{{m}^{2}}\]
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D)
\[350\,{{m}^{2}}\]
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E)
None of these
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Find the area of the regular hexagon (MNOPQR) shown in figure.
A)
\[64\,c{{m}^{2}}\]
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B)
\[76\,c{{m}^{2}}\]
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C)
\[36\,c{{m}^{2}}\]
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D)
\[56\,c{{m}^{2}}\]
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E)
None of these
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Mohini drives 8 km to the South, turns left and drives 5 km. Again, she turns left and drives 8 km. How far is she from her starting point?
A)
3 km
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B)
5 km
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C)
8 km
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D)
13 km
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E)
None of these
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If \[''+''\] means \[''\div ''\] ; \[''x''\]means \[''-''\] ; \[''\div ''\] means\[''x''\]and\[''-''\]means\[''+'',\]what will be the value of the following expression? \[9+3\div 4-8\times 2=?\]
A)
\[6\,\,\frac{3}{4}\]
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B)
\[-1\,\,\frac{1}{3}\]
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C)
\[-\,6\,\,\frac{1}{4}\]
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D)
\[18\]
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E)
None of these
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How many sides does a regular polygon have if the measure of an exterior angle is\[36{}^\circ \]?
A)
15
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B)
30
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C)
10
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D)
20
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E)
None of these
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In a given figure, ABCD is a parallelogram in which \[\angle DAO=40{}^\circ ,\] \[\angle BAO=35{}^\circ \] and\[\angle COD=65{}^\circ \]. Find the\[\angle AOB.\]
A)
\[100{}^\circ \]
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B)
\[75{}^\circ \]
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C)
\[80{}^\circ \]
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D)
\[40{}^\circ \]
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E)
None of these
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