TNPSC Quantitative Aptitude - Simplification
Exam Duration: 45 Mins Total Questions : 30
5004 \(\div \) 139 - 6 = ?
- (a)
24
- (b)
30
- (c)
36
- (d)
42
- (e)
none of these
\((8\div 88)\times 8888088=?\)
- (a)
808008
- (b)
808080
- (c)
808088
- (d)
8008008
The value of 25-5[2+3{2-2(5-3)+5}-10]\(\div\)4 is :
- (a)
5
- (b)
23.25
- (c)
23.75
- (d)
25
\(3640\div 14\times 16+340=?\)
- (a)
0.70
- (b)
3525
- (c)
4480
- (d)
9600
- (e)
None of these
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
A boy was asked to multply a number by 25. He instead multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was :
- (a)
12
- (b)
15
- (c)
25
- (d)
32
\(5-[\frac { 3 }{ 4 } +\{ 2\frac { 1 }{ 2 } -(0.5+\overline { \frac { 1 }{ 6 } -\frac { 1 }{ 7 } } )\} ]\)is equal to
- (a)
\(1\frac { 19 }{ 84 }\)
- (b)
\(2\frac { 61 }{ 84 }\)
- (c)
\(2\frac { 23 }{ 84 }\)
- (d)
\(2\frac { 47 }{ 84 }\)
The total monthly salary of 4 men and 2 women is Rs. 46,000. If a woman earns Rs. 500 more than a man, what is the monthly salary of a woman ?
- (a)
Rs. 6500
- (b)
Rs. 7500
- (c)
Rs. 8000
- (d)
Rs. 9000
David got two and a half times as many marks in English as in History. If his total marks in the two subjects are 140, the marks obtained by him in Englis are :
- (a)
40
- (b)
75
- (c)
90
- (d)
100
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
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)
\(\frac { 11 }{ 90 } \)
The marks scored in an examination are converted from 50 to 10 for the purpose of internal assessment. The highest marks were 47 and the lowest were 14. The difference between the maximum and the minimum internal assessment scores is :
- (a)
3.3
- (b)
4.8
- (c)
6.6
- (d)
7.4
One-fifth of a number exceeds one-seventh of the same by 10. the number is:
- (a)
125
- (b)
150
- (c)
175
- (d)
200
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
A waiter's salary consists of his salary and tips. During one week his tips were \(\frac { 5 }{ 4 } \) of his salary. What fraction of his income came from tips ?
- (a)
\(\frac { 4 }{ 9 } \)
- (b)
\(\frac { 5 }{ 4 } \)
- (c)
\(\frac { 5 }{ 8 } \)
- (d)
\(\frac { 5 }{ 9 } \)
Peter gave one-fourth of the amount he had to Michael. Michael in turn gave half of what he received from Peter to Sam. If the difference between the remaining amount with Peter and the amount received by Sam is Rs. 500, how much money did Michael receive from Peter ?
- (a)
Rs. 100
- (b)
Rs. 200
- (c)
Rs. 400
- (d)
Data inadequate
- (e)
None of these
\(\frac { 4335 }{ 4?24 } \div 1\frac { 7 }{ 8 } =\frac { 289 }{ 528 } \)
- (a)
1
- (b)
2
- (c)
8
- (d)
None of these
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :
- (a)
30 birds
- (b)
60 birds
- (c)
72 birds
- (d)
90 birds
\(\frac { { \left( 469+174 \right) }^{ 2 }+{ \left( 469-174 \right) }^{ 2 } }{ 469\times 174 } \) = ?
- (a)
2
- (b)
4
- (c)
295
- (d)
643
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)
less than 2
- (b)
greater than 2
- (c)
less than 4
- (d)
greater than 4
If \(\frac { a }{ 3 } =\frac { b }{ 4 } =\frac { c }{ 7 } ,\)then the value of \(\frac { a+b+c }{ c } \)is
- (a)
\(\frac { 1 }{ \sqrt { 7 } } \)
- (b)
\({ \sqrt { 2 } } \)
- (c)
2
- (d)
7
If \(\frac { 2a+b }{ a+4b } =3,\)then find the value of \(\frac { a+b }{ a+2b } \)
- (a)
\(\frac { 2 }{ 7 } \)
- (b)
\(\frac { 5 }{ 9 } \)
- (c)
\(\frac { 10 }{ 7 } \)
- (d)
\(\frac { 10 }{9 } \)
If 2 tables and 3 chairs cost Rs. 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
- (a)
Rs. 500
- (b)
Rs. 750
- (c)
Rs. 1000
- (d)
Rs. 1500
There are two examination 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 :
- (a)
20
- (b)
80
- (c)
100
- (d)
200
If x=1-q and y=2q+1, then for what value of q, x is equal to y?
- (a)
-1
- (b)
0
- (c)
\(\frac {1} {2}\)
- (d)
2
In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?
- (a)
6
- (b)
8
- (c)
10
- (d)
12
If 4x+3y=18xy and 2x-5y+4xy=0, then the values of x and y will be respectively:
- (a)
\(-\frac { 1 }{ 2 } and-\frac { 1 }{ 3 } \)
- (b)
-1 and -3
- (c)
\(\frac { 1 }{ 2 } and\frac { 1 }{ 3 } \)
- (d)
\(\frac { 1 }{ 4 } and\frac { 1 }{ 3 } \)
When simplified the product \((1-\frac { 1 }{ 2 } )(1-\frac { 1 }{ 3 } )(1-\frac { 1 }{ 4 } )......(1-\frac { 1 }{ n } )\) gives
- (a)
\(\frac { 1 } { n }\)
- (b)
\(\frac { 2 } { n }\)
- (c)
\(\frac { 2(n-1) } { n }\)
- (d)
\(\frac { 2 } { n(n+1) }\)