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
The value of 999\(\frac { 995 }{ 999 } \)x 999 is:
- (a)
990809
- (b)
998996
- (c)
998999
- (d)
999824
\(3640\div 14\times 16+340=?\)
- (a)
0.70
- (b)
3525
- (c)
4480
- (d)
9600
- (e)
None of these
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
\(1\frac { 3 }{ 4 } +5\frac { 1 }{ 3 } +3\frac { 2 }{ 5 } =?\)
- (a)
\(9\frac { 2 }{ 5 } \)
- (b)
\(9\frac { 29 }{ 60 } \)
- (c)
\(10\frac { 2 }{ 5 } \)
- (d)
\(10\frac { 29 }{ 60 } \)
Along a yard 225 metres long, 26 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees ?
- (a)
8 metres
- (b)
9 metres
- (c)
10 metres
- (d)
15 metres
A boy multiplied 423 by a number and obtained 65589 as his answer. If both the fives in the answer are wrong and all other figures are correct, the correct answer is :
- (a)
60489
- (b)
61189
- (c)
62189
- (d)
62389
A bonus of Rs. 1000 is to be divided among three people so that Rohit receives twice as much as Sachin, who receives one-fifth as much as Gagan. How much maoney should Gagan receive ?
- (a)
Rs. 100
- (b)
Rs. 250
- (c)
Rs. 375
- (d)
Rs. 625
When a ball bounces, it rises to \(\frac { 3 }{ 4 }\) of the height from which it fell. If the ball is dropped from a height of 32 m, how high will it rise at the third bounce ?
- (a)
13 m
- (b)
\(13\frac { 1 }{ 2 } \)m
- (c)
\(14\frac { 1 }{ 2 } \)m
- (d)
None of these
\(\frac { 3 }{ 8 } \) is what part of \(\frac { 1 }{ 12} \)?
- (a)
\(\frac { 3 }{ 7 } \)
- (b)
\(\frac { 1 }{ 12 } \)
- (c)
\(\frac { 4 }{ 3 } \)
- (d)
None of these
\(\frac { 1 }{ 10 }\) of a pole is coloured red, \(\frac { 1 }{ 20 }\) white, \(\frac { 1 }{ 30 }\) blue, \(\frac { 1 }{ 40 }\) black, \(\frac { 1 }{ 50 }\) violet, \(\frac { 1 }{ 60 }\) yellow and the rest is green. If the length of the green portion of the pole is 12.08 metres, then the length of the pole is :
- (a)
16 m
- (b)
18 m
- (c)
20 m
- (d)
30 m
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 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 \(\frac { 4 }{ 5 } \)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
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 \(x\oplus y={ x }^{ 2 }+2y\), what is value of p if \(4\oplus (3\oplus p)=50\)?
- (a)
4
- (b)
7
- (c)
8
- (d)
12.5
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
An institute organised a fete and \(\frac { 1 }{ 5 } \) of the girls and \(\frac { 1 }{ 8 } \) of the boys participated in the same. What fraction of the total number of students took part in tha fete ?
- (a)
\(\frac { 2 }{ 13 } \)
- (b)
\(\frac { 13 }{ 40 } \)
- (c)
Data inadaquate
- (d)
None of these
One-third of the boys and one-half of the girls of a college participated in a social work project. If the number of participating students is 300 out of which 100 are boys, what is the total number of students in the college ?
- (a)
500
- (b)
600
- (c)
700
- (d)
800
One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 grams of the acid is poured into the second test tube. Then, two-thirds of the so-formed solution is poured from the second tube in the first. If the fluid in first test tube is four times that in the second, what quantity of water was taken initally ?
- (a)
40 grams
- (b)
60 grams
- (c)
80 grams
- (d)
100 grams
\(\left( \frac { 147\times 147+147\times 143+143\times 143 }{ 147\times 147\times 147-143\times 143\times 143 } \right) \) = ?
- (a)
\(\frac { 1 }{ 4 } \)
- (b)
290
- (c)
\(\frac { 1 }{ 290 } \)
- (d)
4
\(11.6+9.28\div 0.464-0.2828\div 0.07=?\)
- (a)
9.2
- (b)
9.56
- (c)
27.2
- (d)
27.56
What is the value of \(\frac { (P+Q) }{ (P-Q) } if\frac { P }{ Q } =7?\)
- (a)
\(\frac { 1 }{ 3 } \)
- (b)
\(\frac { 2 }{ 3 } \)
- (c)
\(\frac { 4 }{ 3 } \)
- (d)
\(\frac { 7 }{ 8 } \)
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 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
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)
\(\frac { 8 }{ 19 } \)
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 :
- (a)
22
- (b)
23
- (c)
24
- (d)
26
If 2x+3y=31,y-z=4 and x+2z=11, then what is the value of x+y+z?
- (a)
12
- (b)
13
- (c)
15
- (d)
16
\(\frac { 3 }{ 4 } (1+\frac { 1 }{ 3 } )(1+\frac { 2 }{ 3 } )(1-\frac { 2 }{ 5 } )(1+\frac { 6 }{ 7 } )(1-\frac { 12 }{ 13 } )=?\)
- (a)
\(\frac {1 } { 5 }\)
- (b)
\(\frac { 1 } { 6 }\)
- (c)
\(\frac { 1 } { 7 }\)
- (d)
None of these