Quantitative Aptitude - Simplification
Exam Duration: 45 Mins Total Questions : 30
The value of \(1001\div 11\) of 13 is
- (a)
7
- (b)
91
- (c)
143
- (d)
169
\(\frac { 11 }{ 4 } =\frac { 77 }{ ? } \)
- (a)
28
- (b)
\(\frac { 77 }{ 28 } \)
- (c)
44
- (d)
308
How many pieces of 85 cm length can be cut from a rod 42.5 metres long ?
- (a)
30
- (b)
40
- (c)
60
- (d)
None of these
If 45-[28-{37-{15-*)}]=58, then * is equal to:
- (a)
-29
- (b)
-19
- (c)
19
- (d)
29
Income of a company doubles after every one year. If the initial income was Rs. 4 lakhs, what would be the income after 5 years ?
- (a)
Rs. 1.24 crores
- (b)
Rs. 1.28 crores
- (c)
Rs. 2.56 crores
- (d)
None of these
\(5-[\frac { 3 }{ 4 } +\{ 2\frac { 1 }{ 2 } -(0.5+\overline { \frac { 1 }{ 6 } -\frac { 1 }{ 7 } } )\} ]\)is equal to
- (a)
\(1\frac { 19 }{ 84 }\)
- (b)
\(2\frac { 61 }{ 84 }\)
- (c)
\(2\frac { 23 }{ 84 }\)
- (d)
\(2\frac { 47 }{ 84 }\)
A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is :
- (a)
2
- (b)
3
- (c)
4
- (d)
Data inadaquate
\(\frac { 3 }{ 5 } \)of \(\frac { 4 }{ 7 } \)of \(\frac { 5 }{ 9 } \)of\(\frac { 21 }{ 24 } \)of 504=?
- (a)
63
- (b)
69
- (c)
96
- (d)
109
- (e)
None of these
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is let from all sides of the boundary of the garden. The length of the garden is :
- (a)
20 m
- (b)
22 m
- (c)
24 m
- (d)
26 m
The smallest fraction which should be subtracted from the sum of \(1\frac { 3 }{ 4 } ,2\frac { 1 }{ 2 } ,5\frac { 7 }{ 12 } ,3\frac { 1 }{ 3 } \quad and\quad 2\frac { 1 }{ 4 } \) to make the result a whole number is:
- (a)
\(\frac { 5 }{ 12 } \)
- (b)
\(\frac { 7 }{ 12 } \)
- (c)
\(\frac { 1 }{ 2 } \)
- (d)
7
By how much does\(\frac { 6 }{ 7/8 } \) exceed\(\frac { 6/7 }{ 8 } \)?
- (a)
\(6\frac { 1 }{ 8 } \)
- (b)
\(6\frac { 3 }{ 4 } \)
- (c)
\(7\frac { 3 }{ 4 } \)
- (d)
\(7\frac { 5 }{ 6 } \)
If \(\frac { 4 }{ 5 } \)of an estate be worth RS.16,800, then the value of \(\frac { 3 }{ 7 } \) of the estate is:
- (a)
Rs.9000
- (b)
Rs.21,000
- (c)
Rs.72,000
- (d)
Rs.90,000
Three friends had dinner at a restaurant. When the bill was received, Amita paid \(\frac { 2 }{ 3 } \) as much as Veena paid and Veena paid \(\frac { 1 }{ 2 } \) as much as Tanya paid. What fraction of the bill did Veena pay ?
- (a)
\(\frac { 1 }{ 3 } \)
- (b)
\(\frac { 3 }{ 11 } \)
- (c)
\(\frac { 12 }{ 31 } \)
- (d)
\(\frac { 5 }{ 8 } \)
A tank is \(\frac { 2 }{ 5 } \) full. If 16 litres of water is added to the tank, it becomes \(\frac { 6 }{ 7 } \) full. The capacity of the tank is :
- (a)
28 litres
- (b)
32 litres
- (c)
35 litres
- (d)
42 litres
\(\frac { 4335 }{ 4?24 } \div 1\frac { 7 }{ 8 } =\frac { 289 }{ 528 } \)
- (a)
1
- (b)
2
- (c)
8
- (d)
None of these
The simplified value of \(\frac { \frac { 1 }{ 3 } \div \frac { 1 }{ 3 } \times \frac { 1 }{ 3 } }{ \frac { 1 }{ 3 } \div \frac { 1 }{ 3 } of\frac { 1 }{ 3 } } -\frac { 1 }{ 9 } \)is:
- (a)
0
- (b)
\(\frac { 1 }{ 9 } \)
- (c)
\(\frac { 1 }{ 3 } \)
- (d)
1
\(\frac { 3\frac { 1 }{ 4 } -\frac { 4 }{ 5 } of\frac { 5 }{ 6 } }{ 4\frac { 1 }{ 3 } \div \frac { 1 }{ 5 } -(\frac { 3 }{ 10 } +21\frac { 1 }{ 5 } ) } \)is equal to
- (a)
\(\frac { 1 }{ 6 } \)
- (b)
\(2\frac { 7 }{ 12 } \)
- (c)
\(15\frac { 1 }{ 2 } \)
- (d)
\(21\frac { 1 }{ 2 } \)
If a - b = 3 and a2 + b2 = 29, find the value of ab.
- (a)
10
- (b)
12
- (c)
15
- (d)
18
\(0.2+0.2-0.2\div 0.2\times (0.2\times 0.2)\),on simplification, gives:
- (a)
0.04
- (b)
0.2
- (c)
0.36
- (d)
1
\(587.4+58.74\times 2-5.874\div 2\frac { ? }{ 4 } =702.744\)
- (a)
1
- (b)
2
- (c)
3
- (d)
None of these
\(54.27-[12.84-\{ (?).87-(3.41\times 2-1.85)\} ]=38.33\)
- (a)
2
- (b)
3
- (c)
4
- (d)
none of these
The highest score in an inning was \(\frac { 3 }{ 11 } \) of the total and the next highest was \(\frac { 3 }{ 11 } \) of the remainder. If the scores differed by 9, the total score was :
- (a)
110
- (b)
121
- (c)
132
- (d)
143
if \(\frac { x }{ y } =\frac { 4 }{ 5 } \)then the value of \((\frac { 4 }{ 7 } +\frac { 2y-x }{ 2y+x } )\)is:
- (a)
\(\frac { 3 }{ 7 } \)
- (b)
1
- (c)
\(1\frac { 1 }{ 7 } \)
- (d)
2
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets dwould have been left after equally distributing. What was the total number of sweets ?
- (a)
328
- (b)
348
- (c)
358
- (d)
Data inadequate
If \(\frac { a }{ b } =\frac { 4 }{ 5 } and\frac { b }{ c } =\frac { 15 }{ 16 } ,\)then \(\frac { { c }^{ 2 }-{ a }^{ 2 } }{ { c }^{ 2 }+{ a }^{ 2 } } \)
- (a)
\(\frac { 1 }{ 7 } \)
- (b)
\(\frac { 7 }{ 25 } \)
- (c)
\(\frac { 3 }{ 4 } \)
- (d)
None of these
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is :
- (a)
35
- (b)
38
- (c)
40
- (d)
42
A total number of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is :
- (a)
120
- (b)
124
- (c)
144
- (d)
200
If (2a+3b)(2c-3d)=(2a-3b)(2c+3d), then:
- (a)
\(\frac { a }{ b } =\frac { c }{ d } \)
- (b)
\(\frac { a }{ d } =\frac { c }{ b } \)
- (c)
\(\frac { a }{ b } =\frac { d }{ c } \)
- (d)
\(\frac { b }{ a } =\frac { c }{ d } \)
The value of \((1+\frac { 1 }{ 2 } )(1+\frac { 1 }{ 3 } )(1+\frac { 1 }{ 4 } )............(1+\frac { 1 }{ 120 } )\)is:
- (a)
30
- (b)
40.5
- (c)
60.5
- (d)
121
Find the sum:\(\frac { 1 }{ 2 } +\frac { 1 }{ 6 } +\frac { 1 }{ 12 } +\frac { 1 }{ 20 } +\frac { 1 }{ 30 } +\frac { 1 }{ 42 } +\frac { 1 }{ 56 } +\frac { 1 }{ 72 } +\frac { 1 }{ 90 } +\frac { 1 }{ 110 } +\frac { 1 }{ 132 } \)
- (a)
\(\frac { 7 } { 8 }\)
- (b)
\(\frac { 11 }{ 12 }\)
- (c)
\(\frac { 15 }{ 16 }\)
- (d)
\(\frac { 17 }{ 18 }\)