The ratio of angles of a triangle is 10 : 13 : 7. Find the measurement of all angles of the triangle.
A)
\[48{}^\circ ,\,\,90{}^\circ ,\,\,42{}^\circ \]
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B)
\[88{}^\circ ,\,\,60{}^\circ ,\,\,32{}^\circ \]
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C)
\[78{}^\circ ,\,\,60{}^\circ ,\,\,48{}^\circ \]
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D)
\[60{}^\circ ,\,\,78{}^\circ ,\,\,42{}^\circ \]
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E)
None of these
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What should be subtracted from \[\left( 6{{x}^{2}}\,+\,9{{y}^{2}}\,-\,5xy \right)\] to get \[\left( -\,{{x}^{2}} \right)\,?\]
A)
\[\left( 7{{x}^{2}}\,-\,9{{y}^{2}}\,-\,5xy \right)\]
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B)
\[\left( 7{{x}^{2}}\,+\,9{{y}^{2}}\,-\,5xy \right)\]
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C)
\[\left( 7{{x}^{2}}\,+\,9{{y}^{2}}\,+\,5xy \right)\]
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D)
\[\left( 7{{x}^{2}}\,+\,9{{y}^{{}}}\,-\,5xy \right)\]
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E)
None of these
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Temperature of a place at 07 : 00 in the morning was \[-15{}^\circ \,\,C.\] Temperature increases by \[3{}^\circ \,\,C\] in first hour and decreases by \[1{}^\circ C\] in the second hour. What would be the temperature at 09 : 00 AM?
A)
\[-11{}^\circ \,\,C\]
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B)
\[-13{}^\circ \,\,C\]
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C)
\[-21{}^\circ \,\,C\]
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D)
\[-17{}^\circ \,\,C\]
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E)
None of these
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How many faces and vertices are in the figure given below:
A)
6, 9
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B)
5, 9
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C)
5, 6
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D)
5, 7
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E)
None of these
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What is true about prime numbers?
A)
Prime numbers are not counting numbers.
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B)
Prime numbers are greater than 1.
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C)
Prime numbers are not natural numbers.
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D)
Prime numbers are less than 2.
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E)
None of these
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The product of 1st natural, 1st whole and the 1st prime number is equal to
A)
5
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B)
0
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C)
9
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D)
7
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E)
None of these
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The difference between the place value of 7 in the numeral 6579271 is
A)
69930
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B)
68830
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C)
67840
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D)
64315
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E)
None of these
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In a school, all the students stand in a row such that each row has 5, 9 or 10 students. Find the least number of students in the school.
A)
90
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B)
95
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C)
85
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D)
100
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E)
None of these
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Measures of the two angles between hour and minute hands of a clock at 9 ?o? clock are
A)
\[60{}^\circ ,\,\,300{}^\circ \]
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B)
\[270{}^\circ ,\,\,90{}^\circ \]
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C)
\[75{}^\circ ,\,\,285{}^\circ \]
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D)
\[30{}^\circ ,\,\,330{}^\circ \]
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E)
None of these
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A square shaped park ABCD of side 110m has two equal rectangular flower beds of size 15m x 7m. Length of the boundary of the remaining park is
A)
340 m
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B)
352 m
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C)
382 m
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D)
412 m
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E)
None of these
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Find the ratio of the shaded to unshaded parts in the figure given below.
A)
1 : 2
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B)
1 : 4
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C)
2 : 1
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D)
2 : 3
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E)
None of these
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A farmer planted 2160 tomato plants in a field in rows, each having 72 plants. A certain type of worm destroyed 27 plants in each row. How many plants did the worm destroy in the whole field?
A)
540
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B)
720
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C)
810
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D)
850
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E)
None of these
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Simplify: \[35-5\,\,[2+3\,\,\{2-2\,\,(5-3)+5\}-10]\div 4\]
A)
35
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B)
25
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C)
33.85
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D)
33.75
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E)
None of these
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If the ratio of two numbers is 1 : 5 and their multiplication is 720, find the difference between their squares.
A)
3456
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B)
3546
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C)
3556
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D)
3654
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E)
None of these
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Which of the following numbers is divisible by 3, 7, 9 and 11?
A)
37911
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B)
2079
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C)
3791
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D)
639
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E)
None of these
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If a rectangular block of \[4\,\times \,6\,\times \,8\] dimension is cut into small cubes of side 2 cm each, how many small cubes can be formed?
A)
12
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B)
24
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C)
36
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D)
48
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E)
None of these
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A barn with a flat floor is rectangular in shape of breath 10 m, length 15 m and height 5 m. it is to be painted inside on the walls and on the ceiling but not on floor. Find the total area to be painted.
A)
\[1200\,\,{{m}^{2}}\]
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B)
\[600\,\,{{m}^{2}}\]
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C)
\[400\,\,{{m}^{2}}\]
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D)
\[300\,\,{{m}^{2}}\]
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E)
None of these
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Determine the least number which when divided by 24, 30 and 54 leaves 5 as remainder in each case.
A)
1080
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B)
545
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C)
1085
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D)
1185
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E)
None of these
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Arrange \[\frac{7}{9}\,,\,\frac{5}{8}\] and \[\frac{3}{7}\] in the descending order.
A)
\[\frac{7}{9}>\frac{5}{8}>\frac{3}{7}\]
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B)
\[\frac{3}{7}>\frac{5}{8}>\frac{7}{9}\]
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C)
\[\frac{5}{8}>\frac{7}{9}>\frac{3}{7}\]
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D)
\[\frac{3}{7}>\frac{7}{9}>\frac{5}{8}\]
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E)
None of these
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A)
I - A, II - B, III - C, IV - B
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B)
I - D, II - A, III - B, IV - E
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C)
I - A, II - B, III - C, IV - E
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D)
I - D, II - A, III - E, IV - B
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E)
None of these
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In which one of the following numeration systems the place value of digit is increased ten times from left to right?
A)
Roman Numeration
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B)
Alphabetical Numeration
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C)
Decimal Numeration
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D)
All of these
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E)
None of these
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The mark (out of 10) obtained by 30 students in a mathematics test are listed as below:
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0, 3, 6.
The number of students who obtained marks more than or equal to 5 is
A)
23
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B)
20
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C)
18
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D)
17
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E)
None of these
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The greatest ratio among the ratio 2 : 3, 5 : 8, 75 : 121 and 40 : 25 is
A)
2 : 3
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B)
5 : 8
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C)
75 : 121
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D)
40 : 25
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E)
None of these
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The sum of the five consecutive numbers is equal to 170. What is the ratio of the largest and the smallest number?
A)
15 : 12
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B)
12 : 15
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C)
8 : 9
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D)
9 : 8
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E)
None of these
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If two numbers are in the ratio of 2 : 3 and the product of their HCF is 33750, what will be the sum of the number?
A)
375
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B)
475
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C)
275
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D)
575
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E)
None of these
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Out of the fractions, \[\frac{5}{7},\frac{7}{13},\frac{4}{7},\frac{4}{15}\] and \[\frac{9}{14}\] which is the third highest?
A)
\[\frac{5}{12}\]
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B)
\[\frac{7}{13}\]
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C)
\[\frac{4}{7}\]
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D)
\[\frac{4}{15}\]
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E)
None of these
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\[\left( 2\,-\,\frac{1}{3} \right)\] \[\left( 2\,-\,\frac{3}{5} \right)\] \[\left( 2\,-\,\frac{5}{7} \right)\]?..\[\left( 2\,-\,\frac{997}{999} \right)\] is equal to
A)
\[\frac{1001}{999}\]
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B)
\[\frac{999}{1001}\]
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C)
\[\frac{1001}{3}\]
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D)
\[\frac{5}{1001}\]
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E)
None of these
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If the perimeter of both, a rectangle and a square is equal to 80 cm and the difference of their areas is 100 sq. cm, then find the sides of the rectangle.
A)
35 cm, 15 cm
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B)
28 cm, 12 cm
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C)
30 cm, 10 cm
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D)
25 cm, 15 cm
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E)
None of these
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The ages of two persons differ by 20 yr. If 5 yr ago, the older one be 5 times as old as the younger one, then their present ages (in yrs.) are
A)
25, 5
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B)
30, 10
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C)
35, 15
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D)
50, 30
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E)
None of these
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There are four prime numbers written in ascending order. The product of the first three is 385 and that of the last three is 1001. The first number is
A)
5
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B)
7
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C)
11
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D)
17
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E)
None of these
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Find the missing number in the following series.
A)
72
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B)
62
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C)
58
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D)
48
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E)
None of these
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If the day after tomorrow is Sunday, which day was day before yesterday?
A)
Monday
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B)
Tuesday
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C)
Thursday
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D)
Wednesday
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E)
None of these
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Find the number of triangles in the figure given below.
A)
10
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B)
12
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C)
13
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D)
14
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E)
None of these
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Which of the following numbers will replace the question mark?
A)
328
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B)
216
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C)
184
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D)
141
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E)
None of these
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Find the missing digit in the series given blow. 15 25 5 ? 05 65
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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If TEMPLE is coded as VHQURL, how would you code CHURCH?
A)
EHYWIO
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B)
EKYWJO
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C)
EKYWIN
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D)
EKYWIO
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E)
None of these
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Rocky?s mother is the only daughter of Monika?s father. How is Monika?s husband related to Rocky?
A)
Uncle
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B)
Father
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C)
Brother
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D)
Grandfather
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E)
None of these
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Which shape of figure on the right completes the second pair in the similar way as in the first pair?
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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What comes next?
A)
done
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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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Select the relative word from the given alternate.
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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There are two numbers such that the sum of twice the 1st number and thrice the second number is 141 and sum of thrice the 1st number and twice the second number is 174. What is the largest number?
A)
52
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B)
36
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C)
48
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D)
24
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E)
None of these
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If P = 9, Q = 81, R = 27, S = 3 and T = 18, then find the value of Q \[\div \] R \[\times \] T - S + P.
A)
T + S
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B)
Q - R
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C)
3T + 2S
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D)
2Q - 3R
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E)
None of these
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If \[7*\,1\,=\,48,\] \[9*\,3\,=\,72,\] \[5\,*\,3\,=\,16,\] then find the value of \[10\,*\,3.\]
A)
121
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B)
96
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C)
91
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D)
85
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E)
None of these
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Simplify: \[7\frac{1}{2}\,-\,\left[ 2\frac{1}{4}\,\div \,\left\{ 1\frac{1}{4}\,-\,\frac{1}{2}\,\left( 1\,\frac{1}{2}\,-\,\frac{1}{3}\,-\,\frac{1}{6} \right) \right\} \right]\]
A)
\[2\frac{1}{2}\]
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B)
\[3\frac{1}{2}\]
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C)
\[4\frac{1}{2}\]
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D)
\[5\frac{1}{2}\]
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E)
None of these
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In a five digit number, the digit at ten?s place is 8, the digit at unit?s place is one fourth of ten?s place digit, the digit at hundred?s place is 0, the digit at thousand?s place is 3 times of the digit at unit?s place and the ten thousand?s place digit is half the digit at ten?s place. Write the number.
A)
85082
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B)
64082
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C)
46028
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D)
46082
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E)
None of these
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Two times of a number is equal to the three times of another number. Find the numbers if one number is 23 more than another number.
A)
69 and 46
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B)
44 and 67
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C)
57 and 80
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D)
All of these
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E)
None of these
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In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, find the dividend.
A)
5388
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B)
5343
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C)
5336
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D)
5391
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E)
None of these
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The traffic lights at three different road crossings change after every 42 seconds, 56 seconds and 63 seconds, respectively. If they change simultaneously at 9 : 30 : 00 hours, then at what time will they again change simultaneously?
A)
9 : 37 : 12 hrs
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B)
9 : 38 : 12 hrs
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C)
9 : 38 : 24 hrs
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D)
9 : 38 : 14 hrs
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E)
None of these
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The length of a rectangular plot of ground is five times its breath and its area is 5 hectares. How long will a man take to walk around it at the rate of 1.5 km/hr?
A)
20 minute
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B)
28.5 minute
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C)
40 minute
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D)
48 minute
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E)
None of these
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\[\frac{0.04}{0.03}\,\,\text{of}\,\,\frac{\left( 3\frac{1}{3}-2\frac{1}{2} \right)\div \frac{1}{2}\,\,of\,\,1\frac{1}{4}}{\frac{1}{3}+\frac{1}{5}\,\,of\,\,\frac{1}{9}}=?\]
A)
1
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B)
5
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C)
\[\frac{1}{5}\]
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D)
\[\frac{1}{2}\]
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E)
None of these
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