The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these number?
A)
\[\frac{12}{35}\]
done
clear
B)
\[\frac{1}{35}\]
done
clear
C)
\[\frac{35}{8}\]
done
clear
D)
\[\frac{7}{32}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
If n is a natural number, then \[(6{{n}^{2}}+6n)\] is always divisible by:
A)
6 only
done
clear
B)
6 and 12 both
done
clear
C)
12 only
done
clear
D)
by 18 only
done
clear
E)
None of these
done
clear
View Answer play_arrow
The L.C.M. of 22, 54, 108, 135 and 198 is:
A)
330
done
clear
B)
1980
done
clear
C)
5940
done
clear
D)
11880
done
clear
E)
None of these
done
clear
View Answer play_arrow
The G.C.D. of 1.08, 0.36 and 0.9 is:
A)
0.03
done
clear
B)
0.9
done
clear
C)
0.18
done
clear
D)
0.108
done
clear
E)
None of these
done
clear
View Answer play_arrow
The arrangement of rational numbers \[\frac{-7}{10},\,\,\frac{5}{8},\,\,\frac{2}{3}\] in ascending order is:
A)
\[\frac{2}{-\,3},\,\,\frac{5}{-\,8},\,\,\frac{-\,7}{10}\]
done
clear
B)
\[\frac{5}{-\,8},\,\,\frac{-\,7}{10},\,\,\frac{2}{-\,3}\]
done
clear
C)
\[\frac{-\,7}{10},\,\,\frac{5}{-\,8},\,\,\frac{2}{-\,3}\]
done
clear
D)
\[\frac{-\,7}{10},\,\,\frac{2}{-\,3},\,\,\frac{5}{-\,8}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
A)
2010
done
clear
B)
2011
done
clear
C)
2012
done
clear
D)
2013
done
clear
E)
None of these
done
clear
View Answer play_arrow
\[8.7-[7.6-\{6.5-(5.4-\overline{4.3-2})\}]\] is simplified to:
A)
2.5
done
clear
B)
3.5
done
clear
C)
4.5
done
clear
D)
5.5
done
clear
E)
None of these
done
clear
View Answer play_arrow
The value of\[\left[ 35.7-\left( 3+\frac{1}{3+\frac{1}{3}} \right)-\left( 2+\frac{1}{2+\frac{1}{2}} \right) \right]\]is:
A)
30
done
clear
B)
34.8
done
clear
C)
36.6
done
clear
D)
41.4
done
clear
E)
None of these
done
clear
View Answer play_arrow
Find the value of following expression: \[\frac{(0.1667)\,\,(0.8333)\,\,(0.3333)}{(0.2222)\,\,(0.6667)\,\,(0.1250)}\]
A)
2
done
clear
B)
2.40
done
clear
C)
2.43
done
clear
D)
2.50
done
clear
E)
None of these
done
clear
View Answer play_arrow
Find the value of following expression:\[\left( \frac{0.051\,\,\times \,\,0.051\,\,\times \,\,0.051\,\,+\,\,0.041\,\,\times \,\,0.041\,\,\times \,\,0.041}{0.051\,\,\times \,\,0.051\,\,-\,\,0.051\,\,\times \,\,0.041\,\,+\,\,0.041\,\,\times \,\,0.041} \right)\]
A)
0.00092
done
clear
B)
0.0092
done
clear
C)
0.092
done
clear
D)
0.92
done
clear
E)
None of these
done
clear
View Answer play_arrow
A boy was asked to write the value of\[{{(2)}^{5}}\times {{(9)}^{2}}\]. He wrote it as 2592.The difference between the obtained and the actual value is:
A)
zero
done
clear
B)
\[2\times {{9}^{2}}\]
done
clear
C)
\[{{2}^{2}}\times {{9}^{3}}\]
done
clear
D)
\[{{2}^{3}}\times {{9}^{4}}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
Supply the two missing figure in order indicated by x and y in the given equation, the fractions being in their lowest terms,\[5\,\,\frac{1}{x}\,\,\times \,\,y\,\,\frac{3}{4}=20\]
A)
3, 1
done
clear
B)
3, 3
done
clear
C)
4, 1
done
clear
D)
5, 3
done
clear
E)
None of these
done
clear
View Answer play_arrow
If \[2x+y=17;\] \[2z=15\] and\[x+y=9\], then what is the value of\[4x+3y+z\]?
A)
41
done
clear
B)
43
done
clear
C)
45
done
clear
D)
55
done
clear
E)
None of these
done
clear
View Answer play_arrow
When simplified, the product \[\left( 1-\,\,\frac{1}{2} \right)\left( 1-\,\,\frac{1}{3} \right)\left( 1-\,\,\frac{1}{4} \right)......\left( 1-\,\,\frac{1}{n} \right)\] gives
A)
\[\frac{1}{n}\]
done
clear
B)
\[\frac{2}{n}\]
done
clear
C)
\[\frac{2\,(n-1)}{n}\]
done
clear
D)
\[\frac{2}{n\,(n+1)}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
In an examination, a student was asked to find of \[\frac{3}{14}\]a certain number. By mistake, he found \[\frac{3}{4}\] of that number. His answer was 150 more than the correct answer. The number is:
A)
180
done
clear
B)
240
done
clear
C)
280
done
clear
D)
290
done
clear
E)
None of these
done
clear
View Answer play_arrow
If \[a+b+c=13,\] \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=69,\] then find\[ab+bc+ca\].
A)
\[-\,50\]
done
clear
B)
50
done
clear
C)
69
done
clear
D)
75
done
clear
E)
None of these
done
clear
View Answer play_arrow
A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25 paise coins is:
A)
120
done
clear
B)
124
done
clear
C)
144
done
clear
D)
200
done
clear
E)
None of these
done
clear
View Answer play_arrow
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
A)
22
done
clear
B)
23
done
clear
C)
24
done
clear
D)
26
done
clear
E)
None of these
done
clear
View Answer play_arrow
The population of a town is \[4.2\times {{10}^{6}}\].If the population increases by 75 per 1000 per annum, then what be population after two years?
A)
4853625
done
clear
B)
5853615
done
clear
C)
4633628
done
clear
D)
5253495
done
clear
E)
None of these
done
clear
View Answer play_arrow
The maximum marks for an examination is 900. A student fails by 43 marks if he gets 33% of the maximum marks. What are the pass marks?
A)
332
done
clear
B)
360
done
clear
C)
340
done
clear
D)
375
done
clear
E)
None of these
done
clear
View Answer play_arrow
8 men can finish a certain amount of work in 40 days. If 2 more men join them, the days needed to do the same amount of work is
A)
30
done
clear
B)
32
done
clear
C)
36
done
clear
D)
25
done
clear
E)
None of these
done
clear
View Answer play_arrow
AB and CD are lines, P is point on AB. A line PQ meets CD at R. If\[\angle BPR=30{}^\circ \]and\[\angle CPQ=150{}^\circ ,\] then
A)
AB and CD are perpendicular
done
clear
B)
AB and CD are parallel
done
clear
C)
CD and PQ are perpendicular
done
clear
D)
CD and PQ are parallel
done
clear
E)
None of these
done
clear
View Answer play_arrow
The radius of a circular pond is 14 m. A circular stage is made at the center of the pond whose diameter is 14 m. What is the area where water is present?
A)
462 sq. m
done
clear
B)
564 sq. m
done
clear
C)
454 sq. m
done
clear
D)
532 sq. m
done
clear
E)
None of these
done
clear
View Answer play_arrow
A number of two digit is 6 times the sum of its digit. When the sum of its digits is added to the number, the result is 63. What is the number?
A)
32
done
clear
B)
42
done
clear
C)
53
done
clear
D)
54
done
clear
E)
None of these
done
clear
View Answer play_arrow
Find the missing number
81 112 225 9 11 15 63 ? 105
A)
77
done
clear
B)
68
done
clear
C)
54
done
clear
D)
52
done
clear
E)
None of these
done
clear
View Answer play_arrow
If a watch runs 5 minutes fast every hour, then the angle traversed by a second hand in one minute is
A)
\[360{}^\circ \]
done
clear
B)
\[360.5{}^\circ \]
done
clear
C)
\[390{}^\circ \]
done
clear
D)
\[380{}^\circ \]
done
clear
E)
None of these
done
clear
View Answer play_arrow
If \[({{a}^{2}}+{{b}^{2}})\,\,({{m}^{2}}+{{n}^{2}})={{(am+bn)}^{2}},\]then which one of the following statements is true?
A)
\[\frac{a}{m}=\frac{b}{n}\]
done
clear
B)
\[\frac{a}{n}=\frac{b}{m}\]
done
clear
C)
\[ab=mn\]
done
clear
D)
\[a+b=m+n\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
ABCMA is a quadrant of a circle of radius 14cm. With AC as diameter, a semicircle ANC is drawn. The area of the shaded portion is:
A)
154 sq. cm
done
clear
B)
77 sq. cm
done
clear
C)
98 sq. cm
done
clear
D)
196 sq. cm
done
clear
E)
None of these
done
clear
View Answer play_arrow
Which is the number opposite to 4 in the given dice?
A)
1
done
clear
B)
6
done
clear
C)
5
done
clear
D)
2
done
clear
E)
None of these
done
clear
View Answer play_arrow
If \[\frac{x}{(2x+y+z)}=\frac{y}{(x+2y+z)}=\frac{z}{(x+y+2z)}=k\]and \[x+y+z\ne 0,\] then find k.
A)
\[\frac{1}{3}\]
done
clear
B)
\[\frac{1}{4}\]
done
clear
C)
\[\frac{1}{2}\]
done
clear
D)
\[\frac{1}{8}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
The ratio of the ages of a man and his wife is \[4:3\]After 4 years, this ratio will be \[9:7\]. If at the time of marriage, the ratio was \[5:3\], then how many years ago were they married?
A)
8 years
done
clear
B)
10 years
done
clear
C)
12 years
done
clear
D)
15 years
done
clear
E)
None of these
done
clear
View Answer play_arrow
Two cubes each with 4 cm edge are joined end to end. The surface area of the resulting cuboid is
A)
\[160\,c{{m}^{2}}\]
done
clear
B)
\[320\,c{{m}^{2}}\]
done
clear
C)
\[64\,c{{m}^{2}}\]
done
clear
D)
\[128\,c{{m}^{2}}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
Two metallic right circular cones having their heights 5.2 cm and 3.6 cm and radii of their bases 2.2 cm each have been melted together and recast into a sphere. The radius of the sphere is
A)
1.1 cm
done
clear
B)
4.2 cm
done
clear
C)
2.2 cm
done
clear
D)
1.4 cm
done
clear
E)
None of these
done
clear
View Answer play_arrow
Of the three numbers, the first is twice the second and 4 times the third. The average of all the three is 21. Find the numbers.
A)
4, 8, 16
done
clear
B)
9, 18, 36
done
clear
C)
5, 10, 20
done
clear
D)
All of these
done
clear
E)
None of these
done
clear
View Answer play_arrow
Find the factors of the polynomial\[p(x)\,\,=\,\,({{x}^{2}}+x+1)\,\,({{x}^{2}}+x+2)-12\].
A)
\[(x+1)\,\,(x+2)\,\,({{x}^{2}}+x+5)\]
done
clear
B)
\[(x-1)\,\,(x-2)\,\,({{x}^{2}}+x+5)\]
done
clear
C)
\[(x-1)\,\,(x+2)\,\,({{x}^{2}}+x+5)\]
done
clear
D)
\[(x-1)\,\,(x+2)\,\,({{x}^{2}}-x+5)\]
done
clear
E)
None of these
done
clear
View Answer play_arrow
Directions: The following pie chart shows the distribution of the expenditure incurred for publishing a book.
The percentage of the central angle corresponding to the expenditure incurred on paper cost is:
A)
10%
done
clear
B)
15%
done
clear
C)
20%
done
clear
D)
30%
done
clear
E)
None of these
done
clear
View Answer play_arrow
Directions: The following pie chart shows the distribution of the expenditure incurred for publishing a book.
Royalty on the book is less than the editing cost by:
A)
10%
done
clear
B)
15%
done
clear
C)
20%
done
clear
D)
25%
done
clear
E)
None of these
done
clear
View Answer play_arrow
Directions: The following pie chart shows the distribution of the expenditure incurred for publishing a book.
If the transportation cost is Rs. 1,80,000 then the binding cost is:
A)
Rs. 90,000
done
clear
B)
Rs. 1,12,000
done
clear
C)
Rs. 1,35,000
done
clear
D)
Rs. 1,80,000
done
clear
E)
None of these
done
clear
View Answer play_arrow
Peter invested a certain sum of money in a simple interest bond whose value grew to Rs. 300 at the end of 3 years, and to Rs. 400 at the end of another 5 years. What was the rate of interest?
A)
12%
done
clear
B)
8.33%
done
clear
C)
6.67%
done
clear
D)
6.25%
done
clear
E)
None of these
done
clear
View Answer play_arrow
Out of two workers X and Y, X is twice as good as Y to perform the work assigned to them. If X can finish the assigned work in 40 days less than Y, then in how many days they can finish the work if they work together?
A)
\[31\,\,\frac{1}{3}\,\,days\]
done
clear
B)
\[26\,\,\frac{2}{3}\,\,days\]
done
clear
C)
\[30\,\,\frac{1}{3}\,\,days\]
done
clear
D)
\[24\,\,\frac{5}{6}\,\,days\]
done
clear
E)
None of these
done
clear
View Answer play_arrow