Quantitative Aptitude - Simplification
Exam Duration: 60 Mins Total Questions : 30
The value of \(1+\frac { 1 }{ 4\times 3 } +\frac { 1 }{ 4\times { 3 }^{ 2 } } +\frac { 1 }{ 4\times { 3 }^{ 3 } } \)
- (a)
\(\frac { 121 }{ 108 } \)
- (b)
\(\frac { 3 }{ 2 } \)
- (c)
\(\frac { 31 }{ 2 } \)
- (d)
None of these
A boy asked to write the value of \({ (2 }^{ 5 })\times ({ 9 }^{ 2 })\). He wrote it as 2592. The difference between the obtained and the actual value is:
- (a)
Zero
- (b)
\({ 2 }\times { 9 }^{ 2 }\)
- (c)
\({ { 2 }^{ 2 } }\times { 9 }^{ 3 }\)
- (d)
\({ { 2 }^{ 3 } }\times { 9 }^{ 4 }\)
The value of\(\frac { \left( 6+6+6+6 \right) \div 6 }{ 4+4+4+4\div 4 } \) is equal to:
- (a)
1
- (b)
\(\frac { 3 }{ 2 } \)
- (c)
\(\frac { 4 }{ 13 } \)
- (d)
\(3\frac { 6 }{ 13 } \)
\(\frac { 180\times 15-12\times 20 }{ 140\times 8+2\times 55 } =?\)
- (a)
\(\frac { 1 }{ 7 } \)
- (b)
\(\frac { 4 }{ 5 } \)
- (c)
2
- (d)
4
- (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
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 light was seen at intervals of 13 seconds. It was seen for the first time at 1 hr. 54 min 50 secs. a.m. and the last time at 3 hrs. 17 min. 49 secs. a.m. How many times was the light seen ?
- (a)
360
- (b)
375
- (c)
378
- (d)
384
\(\frac { 1 }{ \left( 2\frac { 1 }{ 3 } \right) } +\frac { 1 }{ \left( 1\frac { 3 }{ 4 } \right) } \) is equal to:
- (a)
\(\frac { 7 }{ 14 } \)
- (b)
\(\frac { 12 }{ 49 } \)
- (c)
\(4\frac { 1 }{ 12 } \)
- (d)
None of these
\(5\frac { 5 }{ 6 }-3\frac { 8 }{ 9 }-?=1 \)
- (a)
\(\frac { 2 }{ 3 } \)
- (b)
\(\frac { 3 }{ 2 } \)
- (c)
\(\frac { 17 }{ 18 } \)
- (d)
3
Which of the following can be used to compute(\(34\times (4\frac { 1 }{ 2 } )\))?
- (a)
(\(30\times 4\))+\((4\times 4\frac { 1 }{ 2 } )\)
- (b)
\((34\times 40)+(34\times \frac { 1 }{ 2 } )\)
- (c)
\((30\times 4\frac { 1 }{ 2 } )+(4\times 4)\)
- (d)
\((34\times \frac { 1 }{ 2 } )+(30\times 4)+(4\times 4)\)
The difference of \(1\frac { 3 }{ 16 } \) and its reciprocal is equal to:
- (a)
\(1\frac { 1 }{ 8 } \)
- (b)
\(\frac { 4 }{ 3 } \)
- (c)
\(\frac { 15 }{ 16 } \)
- (d)
None of these
Sanket earns twice as much in the month of March as in each of the other months of the year. What part of his entire annual earnings was earned in March ?
- (a)
\(\frac { 1 }{ 7 } \)
- (b)
\(\frac { 1 }{ 6 } \)
- (c)
\(\frac { 2 }{ 11 } \)
- (d)
\(\frac { 2 }{ 13 } \)
If X is a positive number, then which of the following fractions has the greatest value?
- (a)
\(\frac { x }{ x } \)
- (b)
\(\frac { x }{ x+1} \)
- (c)
\(\frac { x+1 }{ x} \)
- (d)
\(\frac { x+2 }{ x+3 } \)
What fraction of \(\frac { 4 }{ 7 } \) must be added to itself to make the \(1\frac { 1 }{ 14 } \) ?
- (a)
\(\frac { 1 }{ 2 } \)
- (b)
\(\frac { 4 }{ 7 } \)
- (c)
\(\frac { 7 }{ 8 } \)
- (d)
\(\frac { 15 }{ 14 } \)
Express \(\frac { 2 }{ 3 } \) of \(\frac { 1 }{ 4 } \) of Rs. 25.20 as a fraction of \(1\frac { 1 }{ 2 } \) of Rs. 36.
- (a)
\(\frac { 5 }{ 8 } \)
- (b)
\(\frac { 5 }{ 42 } \)
- (c)
\(\frac { 7 }{ 90 } \)
- (d)
\(\frac { 11 }{ 90 } \)
A certain amount is distributed among A, B and C. A gets \(\frac { 3 }{ 16 } \) and B gets \(\frac { 1 }{ 4 } \) of the whole amount. If C gets Rs. 81, then B gets :
- (a)
Rs. 30
- (b)
Rs. 32
- (c)
Rs. 36
- (d)
Rs. 40
A student was asked to find the value of \(\frac { 3 }{ 8 }\) of a sum of money. The student made a mistake by dividing the sum by \(\frac { 3 }{ 8 }\) and thus fot an answer which exceeded the correct answer by Rs. 55. The correct answer was :
- (a)
Rs. 9
- (b)
Rs. 18
- (c)
Rs. 24
- (d)
Rs. 64
If a\(\ast \)b=\(\frac { ab }{ a+b } \), find the value of \(3\ast (3\ast -1)\)
- (a)
-3
- (b)
-1.5
- (c)
-1
- (d)
\(\frac { 2 }{ 3 } \)
If \(a\ast b =2a-3b+ab,\) then \(3\ast 5+5\ast 3\) is equal to:
- (a)
22
- (b)
24
- (c)
26
- (d)
28
The charges of hired car are Rs. 4 per km for the first 60 km, Rs. 5 per km for the next 60 km and Rs. 8 for every 5 km for further journey. If the balance amount left over with Rohit is one-fourth of what he paid towards the charges of the hired car for travelling 320 km, how much money did he have initially with him ?
- (a)
Rs. 1075
- (b)
Rs. 1255
- (c)
Rs. 1540
- (d)
None of these
\(\frac { 7\frac { 1 }{ 2 } -5\frac { 3 }{ 4 } }{ 3\frac { 1 }{ 2 } +? } \div \frac { \frac { 1 }{ 2 } +1\frac { 1 }{ 4 } }{ 1\frac { 1 }{ 5 } +3\frac { 1 }{ 2 } } =0.6\)
- (a)
\(4\frac { 1 }{ 3 } \)
- (b)
\(4\frac { 1 }{ 2 } \)
- (c)
\(4\frac { 2 }{ 3 } \)
- (d)
None of these
\(5.8\times 2.5+0.6\times 6.75+139.25=?\)
- (a)
157.30
- (b)
157.80
- (c)
158.40
- (d)
160.30
\(8\frac { 1 }{ 4 } -4\frac { 1 }{ 5 } +2.8+\frac { 4 }{ ? } -2.32=5.33\)
- (a)
.05
- (b)
.5
- (c)
5
- (d)
None of these
\(11.6+9.28\div 0.464-0.2828\div 0.07=?\)
- (a)
9.2
- (b)
9.56
- (c)
27.2
- (d)
27.56
- (a)
less than 2
- (b)
greater than 2
- (c)
less than 4
- (d)
greater than 4
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)
\(\frac { b }{ a } =\frac { c }{ d } \)
If \(\frac { 2+\frac { 1 }{ 3\frac { 4 }{ 5 } } }{ 2+\frac { 1 }{ 3+\frac { 1 }{ 1+\frac { 1 }{ 4 } } } } \)=x, then the value of x is:
- (a)
\(\frac { 1 }{ 7 } \)
- (b)
\(\frac { 3 }{ 7 } \)
- (c)
1
- (d)
\(\frac { 8 }{ 7 } \)
If 4x+5y=83 and \(\frac { 3x } { 2y }= \frac { 21 } { 22 }\),then y-x=?
- (a)
3
- (b)
4
- (c)
7
- (d)
11
Which of the following values of x and y satisfy the following equations I and II?
I. 3x+y=19 , II. x-y=9
- (a)
-7,-2
- (b)
-7,2
- (c)
7,-2
- (d)
7,2