Sum of face values of 2, 5 and 9 in any number having 2, 5 and 9 as digits is:
A)
14
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B)
16
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C)
11
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D)
32
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E)
None of these
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Find the successor of the smallest 5-digit number formed by the digits 3, 7, 0 and 4 where 0 is repeated twice.
A)
34801
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B)
74301
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C)
30046
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D)
30048
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E)
None of these
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Which one of the following numbers is not divisible by 33?
A)
84513
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B)
82797
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C)
82434
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D)
81972
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E)
None of these
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Roman numeral for the predecessor of the sum of 3214 and 1960 is:
A)
\[\overline{V}CLXXIV\]
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B)
\[\overline{V}CLXXIII\]
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C)
\[\overline{V}CDLXXIII\]
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D)
\[MMMCCLXIII\]
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E)
None of these
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What smallest number should be added to the smallest number formed by using all the 1-digit prime numbers to make it divisible by 7?
A)
3
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B)
4
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C)
2
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D)
1
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E)
None of these
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The product of the least integer and the greatest integer lying between \[21\] and \[-11\]is:
A)
252
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B)
240
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C)
210
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D)
done
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E)
None of these
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Which of the following sets of numbers in sequence will make the given number sentence true? \[.......\,x\,......\,+\,.......\,\div \,........\,-\,........=47\]
A)
16, 6 18, 3, 4
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B)
16, 2, 18, 3, 6
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C)
16, 3, 18, 6, 4
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D)
18, 3, 16, 4, 2
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E)
None of these
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A number x must be divisible by 168 if the number x is divisible by:
A)
2, 7 and 13
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B)
3, 7 and 8
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C)
4, 7 and 11
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D)
2, 3 and 5
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E)
None of these
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If \[\frac{a}{27}=\frac{4}{b}=\frac{c}{18}=\frac{132}{297},\]then the value of \[\left( \frac{a+b}{c-1} \right)\] is:
A)
1
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B)
3
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C)
7
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D)
\[\frac{7}{3}\]
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E)
None of these
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If the prime factorisation of 191664 is \[{{2}^{a}}\,\times \,{{3}^{b}}\,\times \,{{11}^{c}},\]then the value of \[(a+b+c)\] is:
A)
8
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B)
9
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C)
7
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D)
10
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E)
None of these
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What per cent of the given figure is shaded?
A)
\[37\frac{1}{2}\]%
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B)
\[33\frac{1}{3}\]%
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C)
\[31\frac{1}{4}\]%
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D)
\[34\frac{3}{8}\]%
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E)
None of these
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18 men can do a piece of work in 56 days. To finish the same work in 42 days, how many more men are needed?
A)
4
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B)
12
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C)
8
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D)
6
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E)
None of these
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The sum \[\left( 5\frac{1}{25}+5\frac{1}{25}+5\frac{1}{25}+......up\,to\,25\,times \right)\] is same as:
A)
\[\left( 5\,\times \,25 \right)\]
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B)
\[\left( 5\frac{1}{25} \right)\,+\,1\]
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C)
\[\left( 5\,\times \,25 \right)\,+\,1\]
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D)
\[\left( 5\,\times \,25 \right)\,+\,\frac{1}{25}\]
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E)
None of these
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In the figure given below, how many more unit squares should be shaded so that the fraction represented by shaded parts become half of the fraction represented by the unshaded parts?
A)
8
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B)
6
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C)
4
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D)
12
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E)
None of these
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Which one of the following is correct for the statements given below?
Statements 1: product of any two unit fractions is always a unit fraction. Statements 2: product of any two proper fraction is always a proper fraction.
A)
Statements 1 is true and 2 is false.
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B)
Statements 2 is true and 1 is false.
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C)
Both the statements 1 and 2 are true.
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D)
Both the statements 1 and 2 are false.
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E)
Cannot be determined
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The ratio of (0.05 of 16790 ml) to \[\left( \frac{1}{7}\,\,of\,\,23.506\,\,L \right)\] is:
A)
3 : 7
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B)
2 : 5
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C)
1 : 5
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D)
1 : 4
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E)
None of these
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Two numbers x and y are respectively 45% less than and 10% more than a third number. The ratio (x + y) : y will be:
A)
3 : 2
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B)
3 : 1
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C)
4 : 3
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D)
5 : 4
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E)
None of these
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Sum of the numbers of lines, rays and line segments in the figure given below is:
A)
14
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B)
15
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C)
16
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D)
17
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E)
None of these
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If a, 108, x and 324 are in proportion, then the value of a will be:
A)
3x
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B)
\[\frac{x}{3}\]
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C)
12x
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D)
\[\frac{x}{12}\]
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E)
None of these
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In the figure given below, find the value of \[x{}^\circ .\]
A)
\[45{}^\circ \]
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B)
\[60{}^\circ \]
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C)
\[50{}^\circ \]
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D)
\[55{}^\circ \]
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E)
None of these
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Which of the following options describes the triangle given below?
A)
Scalene, Obtuse
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B)
Isosceles, Obtuse
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C)
Scalene, Acute
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D)
Isosceles, Acute
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E)
None of these
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Which one of the following is correct for the statements given below?
Statements I: Half of the complete angle is twice the right angle. Statements II: Sum of three right angles connot be a reflex angle.
A)
Statements I is true and II is false.
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B)
Statements II is true and I is false.
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C)
Both the statements I and II are true.
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D)
Both the statements I and II are false.
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E)
cannot be determined
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Given shapes (1), (2) and (3) are made up of 3 identical squares. Which of the following options is correct?
A)
Only shapes (1) and (2) have the same perimeter.
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B)
Only shapes (2) and (3) have the same perimeter.
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C)
Only shapes (1) and (3) have the same perimeter.
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D)
All the shapes (1), (2) and (3) have the same perimeter.
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E)
None of these
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Triangle given below is an equilateral triangle whose perimeter is 18 cm. Find the area of triangle.
A)
\[18.4\,\,c{{m}^{2}}\]
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B)
\[14.8\,\,c{{m}^{2}}\]
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C)
\[15.6\,\,c{{m}^{2}}\]
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D)
\[16.4\,\,c{{m}^{2}}\]
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E)
None of these
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Number of centimetres of the diameter of a circle is 14 th multiple of the even prime number. Find the area of the Circle. \[\left( Use\,\pi \,=\,\frac{22}{7} \right)\]
A)
\[1232\,\,c{{m}^{2}}\]
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B)
\[616\,\,c{{m}^{2}}\]
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C)
\[2464\,\,c{{m}^{2}}\]
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D)
\[308\,\,c{{m}^{2}}\]
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E)
None of these
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What is the range of the data given below? 22, 21, 22, 24, 19, 19, 18, 19, 17, 23, 27, 26, 19, 16, 18, 19, 20, 19, 20, 19, 20, 17, 16, 15, 19, 24, 26, 21
A)
10
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B)
11
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C)
12
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D)
13
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E)
None of these
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Direction: Given line graph represents the rainfall (in mm) of a city of 7 days in a certain week. Read the line graph and answer the following questions:
On how many days was the rainfall more than 11.0 mm?
A)
2 days
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B)
5 days
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C)
4 days
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D)
3 days
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E)
None of these
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Direction: Given line graph represents the rainfall (in mm) of a city of 7 days in a certain week. Read the line graph and answer the following questions:
Difference of the highest rainfall and the lowest rainfall in the week was:
A)
2.5 mm
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B)
3.5 mm
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C)
2.0 mm
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D)
1.5 mm
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E)
None of these
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Which one of the following equations is correct for the statement given below? ?Two-third of a number x subtracted from 13 gives 7.?
A)
\[\frac{2}{3}\,x\,-\,13\,=\,7\]
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B)
\[13\,-\,\frac{2}{3}\,x\,=\,7\]
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C)
\[\frac{2}{3}\,\,(x\,-\,13)\,=\,7\]
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D)
\[\frac{2}{3}\,\,(13\,-\,x)\,=\,7\]
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E)
None of these
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The value of Y in the equation given below is: \[\frac{4}{5}y\,-\,\frac{3}{4}y\,+\,\frac{2}{3}y\,-\,\frac{1}{2}y\,=\,\frac{52}{3}\]
A)
80
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B)
20
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C)
60
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D)
40
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E)
None of these
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Find the missing number in place of the question Mark (?) in the number pattern given below.
A)
8
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B)
12
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C)
9
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D)
14
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E)
None of these
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Select a figure from among the figures given in options (A), (B), (C) and (D) which will continue the same series as established by the given five problem figures.
A)
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B)
done
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C)
done
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D)
done
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E)
None of these
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Which one of the following figures is different from the rest?
A)
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B)
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C)
done
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D)
done
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E)
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If T = 21, To = 36 and Top = 52, then STOP = _______.
A)
69
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B)
70
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C)
71
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D)
72
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E)
None of these
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If \[3\,\times \,6\,=\,18,\,\,\,7\,\times \,9\,=\,32\] and \[8\,\times \,14\,=\,44,\] then the value of \[5\,\times \,15\] is:
A)
75
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B)
40
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C)
35
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D)
55
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E)
None of these
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In a certain code ?MINUTE? is written as 987654 and ?HOUR? is written as 3264, then how is ?ROUTINE? written in this code?
A)
1267584
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B)
1265874
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C)
1285674
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D)
3265784
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E)
None of these
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Abhay is facing south. He turns \[180{}^\circ \] anti-clockwise direction and then \[225{}^\circ \] clockwise direction. Which direction is he facing now? Which one of the following diagrams indicates the best relation among Boys, girls and students of a school?
A)
South-West
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B)
South
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C)
West
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D)
North-West
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E)
None of these
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Which one of the following diagrams indicates the best relation among Boys girls and students of a school?
A)
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B)
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C)
done
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D)
done
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E)
None of these
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Figure (A) and (B) respectively show the two consecutive folds of a paper. Figure (C) shows the cut on the folded paper. Choose one figure among the four options that is the unfolded form of the sheet.
A)
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B)
done
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C)
done
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D)
done
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E)
None of these
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Choose the correct mirror image of the figure given below.
A)
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B)
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C)
done
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D)
done
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E)
None of these
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If A = {2, 8, 16, 36} and B = {2, 4, 8, 16, 24}, then match the following columns.
Columns (A)
Columns (B)
(i) A - B
{4, 24}
(ii) B - A
{2, 8, 16}
(iii) \[A\,\cup \,B\]
{36}
(iv) \[A\,\cap \,B\]
{2, 4, 8, 16, 24, 36}
A)
(i - c), (ii - a), (iii - b), (iv - d)
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B)
(i - c), (ii - a), (iii - d), (iv - b)
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C)
(i - c), (ii - d), (iii - a), (iv - b)
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D)
(i - a), (ii - c), (iii - d), (iv - b)
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E)
None of these
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A man is three times as old as his son. 6 years ago, the man was four times as old as his son, After 6 years, the ratio of the man?s age to his son?s age will be:
A)
4 : 3
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B)
5 : 2
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C)
3 : 2
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D)
5 : 3
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E)
None of these
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In the figure given below, \[CO~\bot AB\]and\[RO\bot ~OP\]. How many acute angles are there in the figure?
A)
8
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B)
9
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C)
10
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D)
12
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E)
None of these
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Figure given below shows 6 identical rectangles which lie within the rectangle ABCD. Find the area of the shaded portion.
A)
\[268\,\,c{{m}^{2}}\]
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B)
\[232\,\,c{{m}^{2}}\]
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C)
\[308\,\,c{{m}^{2}}\]
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D)
\[288\,\,c{{m}^{2}}\]
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E)
None of these
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A number 9082a51b is divisible by 9 where a and b stand for digits of the number is 36, then the product of a and b cannot be:
A)
32
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B)
18
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C)
28
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D)
30
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E)
None of these
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In the figure given below, if the fraction represented by shaded parts of Figure (B) is added to the fraction represented by shaded parts of Figure (A), the sum of fractions in its lowest terms is:
A)
\[\frac{2}{3}\]
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B)
\[\frac{5}{8}\]
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C)
\[\frac{3}{4}\]
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D)
\[\frac{1}{2}\]
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E)
None of these
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Four different squares are joined together as shown below. Find the perimeter of the whole figure.
A)
76 cm
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B)
70 cm
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C)
68 cm
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D)
72 cm
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E)
None of these
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In the figure given below, ABCD is a rectangle. AP = AQ and OP = OQ. If \[\angle OPQ=\,40{}^\circ \] and \[\angle OQA=\,12{}^\circ ,\] then find the value of \[x{}^\circ \].
A)
\[42{}^\circ \]
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B)
\[36{}^\circ \]
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C)
\[38{}^\circ \]
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D)
\[48{}^\circ \]
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E)
None of these
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There are 1360 students in a school. 55% of them are girls and the rest are boys. If 11 more girls and 9 more boys take admission in the school, then what will be the percentage of boys?
A)
48%
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B)
45%
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C)
42%
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D)
52%
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E)
None of these
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Minimum how many unit squares must be shaded so that the given figure has a line of symmetry?
A)
2
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B)
5
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C)
4
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D)
3
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E)
None of these
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