Quantitative Aptitude - Simplification
Exam Duration: 60 Mins Total Questions : 30
The value of \(1001\div 11\) of 13 is
- (a)
7
- (b)
91
- (c)
143
- (d)
169
\(1260\div 15\div 7=?\)
- (a)
12
- (b)
58
- (c)
122
- (d)
588
- (e)
None of these
On sports day, if 30 children were made to stand in a column, then 16 columns could be formed. If 24 children were made to stand in a column, then how many columns could be formed ?
- (a)
20
- (b)
22
- (c)
29
- (d)
45
The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is :
- (a)
14
- (b)
24
- (c)
48
- (d)
114
Evaluate:\(\frac { 8-[5-(-3+2)]\div 2 }{ \left| 5-3 \right| -\left| 5-8 \right| \div 3 } \)
- (a)
2
- (b)
3
- (c)
4
- (d)
5
A person travels 3.5 km from place A to place B. Out of this distance, he travels \(1\frac { 2 }{ 3 } \) km on bicycle, \(1\frac { 1 }{ 6 } \) km on scooter and the rest on foot. What portion of the whole distance does he cover on foot ?
- (a)
\(\frac { 3 }{ 19 } \)
- (b)
\(\frac { 4 }{ 11 } \)
- (c)
\(\frac { 4 }{ 21 } \)
- (d)
\(\frac { 5 }{ 6 } \)
If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is \(18\frac { 26 }{ 27 } \). The original fraction is :
- (a)
\(\frac { 8 }{ 27 } \)
- (b)
\(1\frac { 1 }{ 3 } \)
- (c)
\(2\frac { 2 }{ 3 } \)
- (d)
None of these
If x\(\ast \)y=\({ x }^{ 2 }+{ y }^{ 2 }-xy\), then the value of 9\(\ast \)11 is:
- (a)
93
- (b)
103
- (c)
113
- (d)
121
In a family, the father took \(\frac { 1 }{ 4 } \) of the cake and he had 3 times as much as each of the other members had. The total number of family members is:
- (a)
3
- (b)
7
- (c)
10
- (d)
12
if \(a\ast b\ast c\) means \(\frac { a+b }{ c } \) for all numbers except 0, then \(\left( a\ast b\ast c \right) \ast a\ast \)\(\psi \) is equal to:
- (a)
0
- (b)
1
- (c)
\(\frac { a+b+c }{ ab } \)
- (d)
\(\frac { a+b+ac }{ bc } \)
- (e)
\(\frac { ab+bc+ca }{ a+b+c } \)
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 ?
- (a)
10
- (b)
35
- (c)
\(62\frac { 1 }{ 2 } \)
- (d)
Cannot be determined
- (e)
None of these
7 is added to a certain number; the-sum is multiplied by 5; the product is divided by 9 and 3 is subtracted from the quotient. The remainder left is 12. the number is:
- (a)
20
- (b)
30
- (c)
40
- (d)
60
A man has divided his total maoney in his will in such a way that half of it goes to his wife, \(\frac { 2 }{ 3 } \)rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets Rs. 20,000, how much money will each son get ?
- (a)
Rs. 48,233.33
- (b)
Rs. 50,333.33
- (c)
Rs. 53,333.33
- (d)
Data inadequate
- (e)
None of these
In an office, \(\frac { 3 }{ 4 } \) of the staff can neither type nor take shouthand. However, \(\frac { 1 }{ 5 } \)th can type and \(\frac { 1 }{ 3 } \)rd can take shorthand. What part of the whole staff can do both ?
- (a)
\(\frac { 1 }{ 5 } \)
- (b)
\(\frac { 3 }{ 40 } \)
- (c)
\(\frac { 13 }{ 40 } \)
- (d)
\(\frac { 17 x}{ 60 } \)
If every 2 out of 3 readymade shirts need alterations in the coler, every 3 out of 4 need alterations in the sleeves, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts ?
- (a)
24
- (b)
123
- (c)
133
- (d)
143
The value of \(\frac { \frac { 1 }{ 2 } \div \frac { 1 }{ 2 } of\frac { 1 }{ 2 } }{ \frac { 1 }{ 2 } +\frac { 1 }{ 2 } of\frac { 1 }{ 2 } } \)is:
- (a)
1
- (b)
\(1\frac { 1 }{ 3 } \)
- (c)
\(2\frac { 2 }{ 3 } \)
- (d)
3
\(\left( \frac { 147\times 147+147\times 143+143\times 143 }{ 147\times 147\times 147-143\times 143\times 143 } \right) \) = ?
- (a)
\(\frac { 1 }{ 4 } \)
- (b)
290
- (c)
\(\frac { 1 }{ 290 } \)
- (d)
4
\(\frac { 38\times 38\times 38+34\times 34\times 34+28\times 28\times 28-38\times 34\times 84 }{ 38\times 38+34\times 34+28\times 28-38\times 34-34\times 28-38\times 28 } \) is equal to :
- (a)
24
- (b)
32
- (c)
44
- (d)
100
\(6\frac { 2 }{ 3 } of7.26\div 0.45of?=8\frac { 32 }{ 117 } \)
- (a)
\(\frac { 1 }{ 13 } \)
- (b)
13
- (c)
\(13\frac { 1 }{ 9 } \)
- (d)
None of these
If \(\frac { x }{ 2y } =\frac { 6 }{ 7} \), then the value of \(\frac { x-y }{ x+y } \)+\(\frac { 14 }{ 19 } \)is:
- (a)
\(\frac { 13 }{ 19 } \)
- (b)
\(\frac { 15 }{ 19 } \)
- (c)
1
- (d)
\(1\frac { 1 }{ 19 } \)
A sum of Rs. 312 was divided among 100 boys and girls in such a way that each boy gets Rs. 3.60 and each girl Rs.2.40. The number of girls is :
- (a)
35
- (b)
40
- (c)
60
- (d)
65
- (a)
less than 2
- (b)
greater than 2
- (c)
less than 4
- (d)
greater than 4
A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those wdho attended the picnic was :
- (a)
8
- (b)
12
- (c)
16
- (d)
24
In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes and 4 mangoes cost as much as 9 lemons. If 3 lemons cost Rs. 4.80, the price of an orange is :
- (a)
Rs. 1.20
- (b)
Rs. 1.30
- (c)
Rs. 1.40
- (d)
Rs. 1.50
The value of \(\frac { 1 }{ 2+\frac { 1 }{ 2+\frac { 1 }{ 2-\frac { 1 }{ 2 } } } } \)
- (a)
\(\frac { 3 }{ 8 } \)
- (b)
\(\frac { 19 }{ 8 } \)
- (c)
\(\frac { 8 }{ 3 } \)
- (d)
\(\frac { 8 }{ 19 } \)
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 ?
- (a)
Rs. 1200
- (b)
Rs. 2400
- (c)
Rs. 4800
- (d)
Cannot be determined
- (e)
None of these
\(\frac { 2 }{ 2+\frac { 2 }{ 3+\frac { 2 }{ 3+\frac { 2 }{ 3 } } } \times 0.39 } \) is simplified is
- (a)
\(\frac { 1 }{ 3 } \)
- (b)
2
- (c)
6
- (d)
None of these
if \(\frac {37} {13}\)=2+\(\frac { 1 }{ x+\frac { 1 }{ y+\frac { 1 }{ z } } } \), where x,y,z are natural numbers, then x,y,z are:
- (a)
1,2,5
- (b)
1,5,2
- (c)
5,2,11
- (d)
11,2,5
If 2p+3q=18 and 2- q=2, then 2p+q=?
- (a)
6
- (b)
7
- (c)
10
- (d)
20
When simplified, the product \((2-\frac { 1 }{ 3 } )(2-\frac { 3 }{ 5 } )(2-\frac { 5 }{ 7 } )........(2-\frac { 999 }{ 1001 } )\)is equal to:
- (a)
\(\frac { 991 } { 1001 }\)
- (b)
\(\frac { 1001 } { 13 }\)
- (c)
\(\frac { 1003 } { 13 }\)
- (d)
none of these