The product of face values of 3 and 8 in any number having 3 and 8 as digits is:
A)
11
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B)
24
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C)
2400
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D)
42
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E)
None of these
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What is the predecessor of the smallest 5-digit number formed by the digits 2, 8, 0, 7 where 0 is repeated twice?
A)
20769
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B)
27799
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C)
20079
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D)
20077
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E)
None of these
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Difference of the values of Roman numerals \[\overline{V}CDXXX\] and MMD is equal to the value of:
A)
MMMCCXX
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B)
MCCLXX
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C)
MMCMXXX
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D)
MMCMXL
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E)
None of these
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Which of the following numbers is not divisible by 22?
A)
6534
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B)
6446
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C)
9306
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D)
7108
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E)
None of these
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The least number which when increased by 8 is exactly divisible by 8, 18, 28 and 38, is:
A)
9576
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B)
9584
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C)
9568
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D)
9528
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E)
None of these
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The sum of the least integer and the greatest integer lying between \[18\]and \[8\]is:
A)
\[26\]
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B)
\[28~\]
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C)
\[27\]
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D)
\[29\]
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E)
None of these
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\[5x\times 5x\times 5x\times 5x\]?????. Up to 50 times is same as:
A)
\[5{{x}^{50}}\]
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B)
\[{{5}^{50}}\,\times \,{{x}^{50}}\]
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C)
\[250{{x}^{50}}\]
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D)
\[{{(250x)}^{50}}\]
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E)
None of these
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Given that \[11111=41\times ~271\] where 41 and 271 are prime numbers, then how many prime numbers are there in the factorization of 733326?
A)
7
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B)
4
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C)
6
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D)
5
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E)
None of these
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What per cent of whole figure is shaded?
A)
\[31\frac{1}{4}%\]
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B)
\[37\frac{1}{2}%\]
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C)
\[18\frac{3}{4}%\]
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D)
\[25%\]
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E)
None of these
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24 men can do a piece of work in 64 days. To finish the same work in 48 days, how many more men are needed?
A)
6
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B)
10
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C)
12
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D)
4
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E)
None of these
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If the L.C.M. of two numbers is 432, then which of the following numbers cannot be the H.C.F. of the numbers?
A)
432
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B)
108
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C)
168
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D)
144
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E)
None of these
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If \[\frac{1}{18}=\frac{x}{162}=\frac{24}{Y},\] then the value of \[\frac{X+Y}{21}\] is:
A)
23
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B)
21
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C)
24
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D)
27
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E)
None of these
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Simplify and change into fraction. \[\left( \frac{0.2}{0.002}\,-\,\frac{0.002}{0.02} \right)\]
A)
9\[\frac{9}{10}\]
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B)
\[99\frac{9}{10}\]
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C)
\[99\frac{1}{10}\]
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D)
\[99\frac{9}{100}\]
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E)
None of these
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The sum \[\left( 17\frac{1}{5}+17\frac{1}{5}+17\frac{1}{5}+17\frac{1}{5}+17\frac{1}{5} \right)\] is same as:
A)
\[\left( 17\,\times \,5 \right)\]
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B)
\[\left( 17\frac{1}{5} \right)+1\]
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C)
\[\left( 17\,\times \,5 \right)+1\]
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D)
\[\left( 17\,\times \,5 \right)+\frac{1}{5}\]
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E)
None of these
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How many more unit squares should be shaded so that the ratio of shaded parts and unshaded parts becomes 3 : 5?
A)
6
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B)
5
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C)
7
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D)
8
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E)
None of these
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In the given figure of unit squares, find the ration of perimeter of shaded portion to the perimeter of the whole figure.
A)
3 : 4
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B)
5 : 8
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C)
2 : 3
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D)
1 : 2
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E)
None of these
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If the cost of 23 articles is Rs. 207, then the cost of 207 such articles will be:
A)
Rs. 1863
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B)
Rs. 2073
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C)
Rs.1664
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D)
Rs. 2277
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E)
None of these
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If a, 18, a+1 and 21 are in proportion, then the value of a is:
A)
8
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B)
6
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C)
7
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D)
2
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E)
None of these
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Choose the correct option for the given statements?
Statements 1: The sum of any two acute angles cannot be a right angle. Statement 2: The sum of any two obtuse angles cannot be a straight angle.
A)
Statement 1 is true and 2 is false.
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B)
Statement 2 is true and 1 is false.
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C)
Both statements 1 and 2 are true.
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D)
Both statements 1 and 2 are false.
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E)
Cannot determine
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Find the minimum number of straight lines required to draw the given figure.
A)
11
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B)
13
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C)
15
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D)
17
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E)
None of these
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Which one of the following triangles is practically not possible?
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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Two circles are concentric whose common centre is O. Daimeter of outer circle is 42 cm. if the area of outer circle including inner circle is \[2618\,\,c{{m}^{2}}\]and area of shaded ring is \[1232\,\,c{{m}^{2}}\], then find the diameter of the inner circle.
A)
14 cm
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B)
22 cm
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C)
18cm
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D)
12cm
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E)
None of these
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Given solid is made up of three identical cubes. If the edge of each cube is 12 cm, then find the volume of whole solid.
A)
\[64826\,\,c{{m}^{3}}\]
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B)
\[5184\,\,c{{m}^{3}}\]
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C)
\[1728\,\,c{{m}^{3}}\]
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D)
\[10368\,\,c{{m}^{3}}\]
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E)
None of these
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A hall is 16.5 m long and 10 m wide. A square carpet of side 11 m is laid on its floor. Find the area of floor which is not carpeted.
A)
\[52\,\,{{m}^{2}}\]
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B)
\[38\,\,{{m}^{2}}\]
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C)
\[48\,\,{{m}^{2}}\]
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D)
\[44\,\,{{m}^{2}}\]
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E)
None of these
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The pie chart given below represents the favourite games of 560 students of a school. How many more students have cricket as their favourite game than football?
A)
252
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B)
196
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C)
168
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D)
186
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E)
None of these
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Direction: The line graph given below represents motorbikes sold by a motorbike store in 6 months of a particular year. Read the line graph and answer the following questions:
The ration of numbers of motorbikes sold in February to that of sold in May is:
A)
1 : 3
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B)
2 : 5
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C)
2 : 7
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D)
1 : 4
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E)
None of these
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Direction: The line graph given below represents motorbikes sold by a motorbike store in 6 months of a particular year. Read the line graph and answer the following questions:
In which two successive months has the selling of motorbikes increased?
A)
May and June
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B)
February and March
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C)
April and May
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D)
March and April
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E)
None of these
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The breadth of a rectangular field is two-third of its length. If the perimeter of the field is 60m, find its area.
A)
\[180\,\,{{m}^{2}}\]
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B)
\[216\,\,{{m}^{2}}\]
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C)
\[225\,\,{{m}^{2}}\]
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D)
\[270\,\,{{m}^{2}}\]
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E)
None of these
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If \[\frac{1}{3}x-1\frac{1}{3}=2\frac{1}{3},\] then the value of \[{{X}^{3}}\] is:
A)
1331
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B)
2197
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C)
1728
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D)
729
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E)
None of these
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If A = {x : x is a multiple of 12}, then which one of the following number is for x \[\notin \] A ?
A)
64
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B)
108
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C)
84
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D)
96
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E)
None of these
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Find the missing number in place of the question mark (?), if the same rule is followed row-wise or column-wise.
A)
65
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B)
50
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C)
45
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D)
60
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E)
None of these
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In the word 'POWERING' first all vowels are arranged alphabetically, and then all the consonants are arranged alphabetically. Which letter will be the fourth to the left of second letter from the right?
A)
I
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B)
O
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C)
G
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D)
N
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E)
None of these
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In certain code 'POLICE' is coded as 1@2#3Rs. and 'THIEF' is coded as 4*#RS5, then how is 'HELICOPT' written in the same code?
A)
# Rs.3@2*14
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B)
* RS.2@#134
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C)
*#2 RS.@134
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D)
* RS.2#3@14
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E)
None of these
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Select a figure from the option which when placed in the blank space of figure (x) would complete the pattern.
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 of the following venn diagrams best represent the relationship among "Hindi, English and Language"?
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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Which of the figures given below have more than one line of symmetry?
A)
(1) and (2)
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B)
(2) and (3)
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C)
(1) and (3)
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D)
(1), (2) and (3)
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E)
None of these
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How many triangles are there in the given figure?
A)
12
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B)
13
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C)
14
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D)
10
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E)
None of these
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Which among the following is an incorrect pair of an actual figure to its water image?
A)
(1)
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B)
(2)
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C)
(3)
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D)
(4)
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E)
None of these
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Figures (A) and (B) respectively show the two consecutive folds of the 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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Given below is the net of a cube. If it is folded then the opposite to the faces marked B and C are respectively:
A)
1 and 2
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B)
A and 3
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C)
A and 1
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D)
1 and 3
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E)
None of these
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A number 4805a9b1 is divisible by 3 where a and b stand for digits of the number. If the sum of all digits is 36, then the product of a and b cannot be:
A)
0
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B)
8
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C)
15
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D)
18
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E)
None of these
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The figure given below shows 13 identical unshaded squares which lie within the rectangle as ABCD. Find the area of shaded portion.
A)
\[232\,\,c{{m}^{2}}\]
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B)
\[171\,\,c{{m}^{2}}\]
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C)
\[245\,\,c{{m}^{2}}\]
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D)
\[153\,\,c{{m}^{2}}\]
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E)
None of these
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Three congruent rectangles are joined together as shown below. If the breadth of each rectangle is 7.5 cm, then find the perimeter of the whole figure.
A)
88.5 cm
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B)
70.5 cm
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C)
78 cm
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D)
87 cm
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E)
None of these
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If (100 lakh = p million), (10 billion = Q crore), (R thousand = 10 million) and (S billion = 1 arab), then find the value of\[S+\left( \frac{P\,\times \,Q}{R} \right)\].
A)
2
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B)
101
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C)
11
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D)
20
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E)
None of these
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In the figure given below, if the fraction represented by shaded parts in Figure (B) is added to the fraction represented by shaded parts of Figure (A), the result in its simplest form is:
A)
\[\frac{7}{8}\]
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B)
\[\frac{9}{16}\]
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C)
\[\frac{5}{8}\]
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D)
\[\frac{11}{16}\]
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E)
None of these
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In the figure given below, find the area of shaded portion if radius OP of the circle with centre O is 21 cm and the length of rectangle is 70 cm. \[\left( Use\,\pi =\,\frac{22}{7} \right)\]
A)
\[2604\,\,c{{m}^{2}}\]
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B)
\[1554\,\,c{{m}^{2}}\]
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C)
\[1632\,\,c{{m}^{2}}\]
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D)
\[1282\,\,c{{m}^{2}}\]
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E)
None of these
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Mohit travelled half of his journey by Train, \[\frac{1}{4}\] by a Taxi, \[\frac{1}{8}\] by Bus and the remaining 2 km on Foot. What is the length of his journey covered by Bus and by Taxi altogether?
A)
2 km
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B)
8 km
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C)
3 km
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D)
4 km
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E)
None of these
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Find the value of Y in the figure given below.
A)
\[65{}^\circ \]
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B)
\[70{}^\circ \]
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C)
\[75{}^\circ \]
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D)
\[60{}^\circ \]
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E)
None of these
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A saree is 5 m long and 1.5 m wide. A border of width 50 cm is printed along its sides. Find the cost of printing the border at the rate of R.150 per square metre.
A)
Rs.450
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B)
Rs.575
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C)
Rs.425
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D)
Rs.550
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E)
None of these
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In the figure given below, minimum how many unit squares must be shaded so that the figure has at least one line of symmetry?
A)
2
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B)
3
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C)
4
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D)
5
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E)
None of these
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