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Quiz 3
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Q.1
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
256
432
512
640
None of these
Q.2
Simplify : $$1 - \left[ {1 - \left\{ {1 - \left( {1 - \overline {1 - 1} } \right)} \right\}} \right]$$
0
1
2
3
None of these
Q.3
Evaluated : $${{9\left| {3 - 5} \right| - 5\left| 4 \right| \div 10} \over { - 3\left( 5 \right) - 2 \times 4 \div 2}}$$
$$\frac{9}{10}$$
$$ - \frac{8}{{17}}$$
$$ - \frac{16}{{19}}$$
$$\frac{4}{7}$$
Q.4
5 - [4 - {3 - (3 - 3 - 6)}] is equal to:
10
6
4
0
Q.5
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:
22
23
24
26
Q.6
$${{{{(469 + 174)}^2} - {{(469 - 174)}^2}} \over {(469 \times 174)}} = ?$$
1
4
295
643
Q.7
A sum of Rs. 1360 has been divided among A, B and C such that A gets $$\frac{2}{3}$$ of what B gets and B gets $$\frac{1}{4}$$ of what C gets. B's share is:
Rs. 120
Rs. 160
Rs. 240
Rs. 300
None of these
Q.8
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Rs. 30,000
Rs. 50,000
Rs. 60,000
Rs. 90,000
None of these
Q.9
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
45
60
75
90
None of these
Q.10
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
20
80
100
200
None of these
Q.11
Evaluate : $${{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}$$
$$\frac{3}{8}$$
$$\frac{4}{7}$$
$$\frac{8}{3}$$
$$\frac{7}{4}$$
Q.12
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
$$\frac{1}{7}$$
$$\frac{1}{8}$$
$$\frac{1}{9}$$
$$\frac{7}{8}$$
None of these
Q.13
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Rs. 3500
Rs. 3750
Rs. 3840
Rs. 3900
None of these
Q.14
If a - b = 3 and a
^{2}
+ b
^{2}
= 29, find the value of ab.
10
12
15
18
None of these
Q.15
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
10
35
62.5
Cannot be determined
None of these
Q.16
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Rs. 1200
Rs. 2400
Rs. 4800
Cannot be determined
None of these
Q.17
What number must be added to the expression 16a
^{2}
- 12a to make a perfect square ?
$$\frac{9}{4}$$
$$\frac{{11}}{2}$$
$$\frac{{13}}{2}$$
16
Q.18
Number of digits in the square root of 62478078 is = ?
4
5
6
3
Q.19
If $$\frac{{547.527}}{{0.0082}}{\text{ = }}x{\text{,}}$$ then the value of $$\frac{{547527}}{{82}}$$ is = ?
10x
100x
$$\frac{x}{{100}}$$
$$\frac{x}{{10}}$$
Q.20
The sum of the first 35 terms of the series $$\frac{1}{2}$$ $$ + $$ $$\frac{1}{3}$$ $$ - $$ $$\frac{1}{4}$$ $$ - $$ $$\frac{1}{2}$$ $$ - $$ $$\frac{1}{3}$$ $$ + $$ $$\frac{1}{4}$$ $$ + $$ $$\frac{1}{2}$$ $$ + $$ $$\frac{1}{3}$$ $$ - $$ $$\frac{1}{4}$$ . . . . . is = ?
$$ - \frac{1}{2}$$
$$ - \frac{1}{2}$$
$$\frac{1}{4}$$
None of these
Q.21
$$\left( {1\frac{1}{2} + 11\frac{1}{2} + 111\frac{1}{2} + 1111\frac{1}{2}} \right)$$ is equal to = ?
617
618
1234
1236
Q.22
$$\left( {999\frac{{999}}{{1000}} \times 7} \right)$$ is equal to = ?
$${\text{6633}}\frac{7}{{1000}}$$
$${\text{6993}}\frac{7}{{1000}}$$
$${\text{6999}}\frac{993}{{1000}}$$
$$7000\frac{7}{{1000}}$$
Q.23
If x is a positive number, then which of the following fractions has the greatest value ?
$$\frac{x}{x}$$
$$\frac{x}{{x + 1}}$$
$$\frac{{x + 1}}{x}$$
$$\frac{{x + 2}}{{x + 3}}$$
Q.24
By how much does $$\frac{6}{{7/8}}{\text{exceed }}\frac{{6/7}}{8} = ?$$
$$6\frac{1}{8}$$
$$6\frac{3}{4}$$
$$7\frac{3}{4}$$
$$7\frac{5}{6}$$
Q.25
The value of $$\frac{3}{{{1^2} \times {2^2}}} + $$ $$\frac{5}{{{2^2} \times {3^2}}} + $$ $$\frac{7}{{{3^2} \times {4^2}}} + $$ $$\frac{9}{{{4^2} \times {5^2}}} + $$ $$\frac{{11}}{{{5^2} \times {6^2}}} + $$ $$\frac{{13}}{{{6^2} \times {7^2}}} + $$ $$\frac{{15}}{{{7^2} \times {8^2}}} + $$ $$\frac{{17}}{{{8^2} \times {9^2}}} + $$ $$\frac{{19}}{{{9^2} \times {{10}^2}}}$$ is = ?
$$\frac{1}{{100}}$$
$$\frac{{99}}{{100}}$$
1
$$\frac{{101}}{{100}}$$
Q.26
The sum of the first 99 terms of the series $$\frac{3}{4} + \frac{5}{{16}} + \frac{7}{{144}} + \frac{9}{{400}} + .....$$
$$\frac{{99}}{{100}}$$
$$\frac{{999}}{{1000}}$$
$$\frac{{9999}}{{10000}}$$
1
Q.27
If $$\frac{4}{5}$$ of an estate be worth Rs. 16800, then the value of $$\frac{3}{7}$$ of the estate is = ?
Rs. 9000
Rs. 21000
Rs. 72000
Rs. 90000
Q.28
The smallest fraction which should be subtracted from the sum of $${\text{1}}\frac{3}{4}$$, $${\text{2}}\frac{1}{2}$$, $$5\frac{7}{{12}}$$, $${\text{3}}\frac{1}{3}$$ and $${\text{2}}\frac{1}{4}$$ to make the result a whole number is = ?
$$\frac{5}{{12}}$$
$$\frac{7}{{12}}$$
$$\frac{1}{2}$$
7
Q.29
$$\sqrt {110 + \frac{1}{4}} $$ is equal to = ?
12.0
11.5
11.0
10.5
Q.30
$${\text{If }}\frac{{3a + 4b}}{{3c + 4d}}{\text{ = }}\frac{{3a - 4b}}{{3c - 4d}}{\text{ then}}$$
ab = cd
ad = bc
ac = bd
a = b =c ≠ d
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