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question_answer1)
If a and b are odd numbers, then which of the following is even?
A)
\[a+b\] done
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B)
\[a+b+1\] done
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C)
\[ab\] done
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D)
\[ab+2\] done
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question_answer2)
A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?
A)
14 cm done
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B)
21 cm done
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C)
42 cm done
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D)
None of these done
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question_answer3)
If \[\frac{a}{b}=\frac{4}{5}\]and \[\frac{b}{c}=\frac{15}{16},\]then\[\frac{{{c}^{2}}+{{a}^{2}}}{{{c}^{2}}+{{a}^{2}}}\]is equal to _______.
A)
\[\frac{1}{7}\] done
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B)
\[\frac{7}{25}\] done
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C)
\[\frac{3}{4}\] done
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D)
\[\frac{7}{15}\] done
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question_answer4)
Three different positions of a dice are shown below. Find the number on the face opposite to the face showing 2.
A)
3 done
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B)
4 done
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C)
5 done
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D)
6 done
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question_answer5)
The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the sum of the ages of his sons. The father's present age is ______.
A)
40 years done
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B)
45 years done
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C)
50 years done
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D)
55 years done
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question_answer6)
Find the value of\[\frac{{{(243)}^{0.13}}\times {{(243)}^{0.07}}}{{{(7)}^{0.25}}\times {{(49)}^{0.075}}\times {{(343)}^{0.2}}}\]
A)
\[\frac{3}{7}\] done
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B)
\[\frac{7}{3}\] done
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C)
\[1\frac{3}{7}\] done
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D)
\[2\frac{2}{7}\] done
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question_answer7)
The value of\[\frac{{{(469+174)}^{2}}-{{(469-174)}^{2}}}{469\times 174}\]=_______.
A)
2 done
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B)
4 done
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C)
295 done
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D)
643 done
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question_answer8)
1100 boys and 700 girls are examined in a test. 42% of the boys and 30% of the girls passed. The percentage of the total who failed is ______.
A)
58% done
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B)
\[62\frac{2}{3}%\] done
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C)
64% done
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D)
78% done
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question_answer9)
The price of a VCR is marked as a 12000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
A)
` 8400 done
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B)
` 8721 done
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C)
` 8856 done
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D)
None of these done
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question_answer10)
There is a certain relationship between the pair of figures on either side of : :. Identify the relationship and find the missing figure.
A)
B)
C)
D)
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question_answer11)
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the drawn ball is white?
A)
\[\frac{3}{4}\] done
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B)
\[\frac{4}{7}\] done
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C)
\[\frac{1}{8}\] done
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D)
\[\frac{3}{7}\] done
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question_answer12)
A can finish a work in 18 days and B can do the same work in half the time taken by A. What part of the same work they can finish in a day if they work together?
A)
\[\frac{1}{6}\] done
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B)
\[\frac{1}{9}\] done
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C)
\[\frac{2}{5}\] done
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D)
\[\frac{2}{7}\] done
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question_answer13)
Select the correct mirror image of the given below combination of letters and numbers, if the mirror is placed vertically to the left. M9GRO361
A)
B)
C)
D)
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question_answer14)
A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays ` 680.40 as the price including the sales tax, then what is the marked price of the item?
A)
` 630 done
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B)
` 700 done
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C)
` 780 done
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D)
` 680 done
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question_answer15)
Sam invested ` 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be __________.
A)
` 16500 done
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B)
` 16525.50 done
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C)
` 16537.50 done
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D)
` 18150 done
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question_answer16)
A closed metallic cylindrical box is m high and its base radius is 35 cm. If the metal sheet costs ` 80 per \[{{m}^{2}},\] then find the cost of the material used in the box.
A)
` 281.60 done
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B)
` 290 done
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C)
` 340.50 done
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D)
` 500 done
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question_answer17)
DIRECTION: The following pie-chart (not drawn to scale) shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the questions 17 and 18.
Which two expenditures together have a central angle of 108°?
A)
Binding and Transportation Cost done
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B)
Printing and Paper Cost done
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C)
Royalty and Promotion Cost done
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D)
Binding and Paper Cost done
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question_answer18)
If for an edition of the book, the cost of paper is ` 56250, then find the promotion cost for this edition.
A)
` 20000 done
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B)
` 22500 done
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C)
` 25500 done
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D)
` 28125 done
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question_answer19)
Tickets numbered 1 to 30 are mixed up and then a ticket is drawn at random. What is the probability that the drawn ticket has a number which is divisible by both 2 and 6?
A)
\[\frac{1}{2}\] done
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B)
\[\frac{2}{5}\] done
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C)
\[\frac{8}{15}\] done
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D)
\[\frac{1}{6}\] done
clear
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question_answer20)
The maximum length of a pencil that can be kept in a rectangular box of dimensions \[8\text{ }cm\times 6\text{ }cm\times 2\text{ }cm,\]is ______.
A)
\[2\sqrt{13}cm\] done
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B)
\[2\sqrt{14}cm\] done
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C)
\[2\sqrt{26}cm\] done
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D)
\[10\sqrt{2}cm\] done
clear
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question_answer21)
Group the given figures into three classes using each figure only once.
A)
1, 3, 5; 2, 7, 9; 4, 6, 8 done
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B)
1, 5, 7; 2, 6, 9; 3, 4, 8 done
clear
C)
1, 6, 9; 2, 4, 7; 3, 5, 8 done
clear
D)
1, 3, 5; 2, 9, 8; 4, 6, 7 done
clear
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question_answer22)
Two rows of numbers are given. The resultant of each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers in each row progress from left to right. Rules:
(i) If an odd number is followed by another odd number they are to be multiplied. |
(ii) If an even number is followed by another even number the first number is to be divided by the second number. |
(iii) If an even number is followed by the perfect square of an odd number the first number is to be subtracted from the second number. |
(iv) If an odd number is followed by an even number they are to be added. |
(v) If an even number is followed by an odd number which is not a perfect square the square of the odd number is to be added to the even number. |
16 8 3 21 12 9 If x and y be the resultants of first and second rows respectively, then what will be the value of y » x?
A)
18 done
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B)
80 done
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C)
27 done
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D)
16 done
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question_answer23)
A group of students decided to collect as many praise from each member of the group as the number of members in the group. If the total collection amounts to ` 59.29, then find the number of members in the group.
A)
57 done
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B)
67 done
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C)
77 done
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D)
87 done
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question_answer24)
Simplify :\[\frac{(x-5)(x-3)({{x}^{2}}-9x+14)}{({{x}^{2}}-12x+35)(x-3)}\]
A)
\[x-1\] done
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B)
\[x-2\] done
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C)
\[x-7\] done
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D)
\[(x-1)(x-2)\] done
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question_answer25)
Match the following.
(1) | Rectangle | (p) | A quadrilateral having its opposite sides equal and parallel. |
(2) | Square | (q) | A parallelogram having its opposite sides equal and each of the angle is a right angle. |
(3) | Parallelogram | (r) | A parallelogram having all sides equal and each of the angle is a right angle. |
(4) | Rhombus | (s) | Aquadrilateral in which a pair of opposite sides are parallel. |
(5) | Trapezium | (t) | Apara Helogram having all sides equal. |
A)
\[1\to (t),2\to (s),3\to (r),4\to (p),5\to (q)\] done
clear
B)
\[1\to (p),2\to (q),3\to (r),4\to (s),5\to (t)\] done
clear
C)
\[1\to (r),2\to (q),3\to (t),4\to (p),5\to (s)\] done
clear
D)
\[1\to (q),2\to (r),3\to (p),4\to (t),5\to (s)\] done
clear
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question_answer26)
The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is __.
A)
0 done
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B)
1 done
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C)
4 done
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D)
6 done
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question_answer27)
A sum of ` 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was ` 300. The ratio of the money lent at 5% to that of lent at 8% is __.
A)
5 : 8 done
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B)
8 : 5 done
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C)
16 : 15 done
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D)
31 : 6 done
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question_answer28)
Three solid cubes of sides 1 cm, 6 cm and 8 cm respectively are melted to form a new cube. Find the surface area of the cube so formed.
A)
\[520\,\,c{{m}^{2}}\] done
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B)
\[486\,\,c{{m}^{2}}\] done
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C)
\[289\,\,c{{m}^{2}}\] done
clear
D)
\[300\,\,c{{m}^{2}}\] done
clear
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question_answer29)
Adjoining pie chart gives the expenditure (in percentage) on various items and savings of a family during a month.
The item on which expenditure is equal to the total savings of the family, is __.
A)
Food done
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B)
Others done
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C)
Clothes done
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D)
Education for children done
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question_answer30)
If it is possible to make a meaningful word with the second, fourth, sixth and eighth letters of the word UMBRELLA, then which of the following will be the third letter of that word? If more than one such word can be formed, give 'Z' as the answer. If no such word can be formed give 'X' as the answer.
A)
X done
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B)
M done
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C)
Z done
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D)
R done
clear
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