Simplification
Exam Duration: 45 Mins Total Questions : 30
5004 \(\div \) 139 - 6 = ?
- (a)
24
- (b)
30
- (c)
36
- (d)
42
- (e)
none of these
\(7500+(1250\div 50)=?\)
- (a)
175
- (b)
300
- (c)
6575
- (d)
7525
- (e)
None of these
The value of 999\(\frac { 995 }{ 999 } \)x 999 is:
- (a)
990809
- (b)
998996
- (c)
998999
- (d)
999824
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)
\(3\frac { 6 }{ 13 } \)
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
When(\(\frac { 1 }{ 2 }-\frac { 1 }{ 4 }+\frac { 1 }{ 5 }-\frac { 1 }{ 6 }\)) is divided by (\(\frac { 2 }{ 5 }-\frac { 5 }{ 9 }+\frac { 3 }{ 5 }-\frac { 7 }{ 18 }\)), the result is:
- (a)
\(2\frac { 1 }{ 18 }\)
- (b)
\(3\frac { 1 }{ 6 }\)
- (c)
\(3\frac { 3 }{ 10 }\)
- (d)
\(5\frac { 1 }{ 10 }\)
Find the value of * in the following: \(1\frac { 2 }{ 3 } \div \frac { 2 }{ 7 } \times \frac { * }{ 7 } =1\frac { 1 }{ 4 } \times \frac { 2 }{ 3 } \div \frac { 1 }{ 6 } \)
- (a)
0.006
- (b)
\(\frac { 1 }{ 6 } \)
- (c)
0.6
- (d)
6
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)
\(\frac { 2 }{ 13 } \)
\(\frac { 3 }{ 8 } \) is what part of \(\frac { 1 }{ 12} \)?
- (a)
\(\frac { 3 }{ 7 } \)
- (b)
\(\frac { 1 }{ 12 } \)
- (c)
\(\frac { 4 }{ 3 } \)
- (d)
None of these
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 a\(\ast \)b=\(\frac { ab }{ a+b } \), find the value of \(3\ast (3\ast -1)\)
- (a)
-3
- (b)
-1.5
- (c)
-1
- (d)
\(\frac { 2 }{ 3 } \)
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
At an Intenational Dinner, \(\frac { 1 }{ 5 } \) of the people attending were Frenh men. If the number of French women at the dinner was \(\frac { 2 }{ 3 } \) greater than the number of French men, and there were no other French people at the dinner, then what fraction of the people at the dinner were not French ?
- (a)
\(\frac { 1 }{ 5 } \)
- (b)
\(\frac { 2 }{ 5 } \)
- (c)
\(\frac { 2 }{ 3 } \)
- (d)
\(\frac { 7 }{ 15 } \)
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
The simplified value of \(\frac { \left( 1+\frac { 1 }{ 1+\frac { 1 }{ 100 } } \right) \left( 1+\frac { 1 }{ 1+\frac { 1 }{ 100 } } \right) -\left( 1-\frac { 1 }{ 1+\frac { 1 }{ 100 } } \right) \left( 1-\frac { 1 }{ 1+\frac { 1 }{ 100 } } \right) }{ \left( 1+\frac { 1 }{ 1+\frac { 1 }{ 100 } } \right) +\left( 1-\frac { 1 }{ 1+\frac { 1 }{ 100 } } \right) }\) is :
- (a)
100
- (b)
\(\frac { 200 }{ 101 } \)
- (c)
200
- (d)
\(\frac { 202 }{ 100 } \)
\(5.8\times 2.5+0.6\times 6.75+139.25=?\)
- (a)
157.30
- (b)
157.80
- (c)
158.40
- (d)
160.30
\(54.27-[12.84-\{ (?).87-(3.41\times 2-1.85)\} ]=38.33\)
- (a)
2
- (b)
3
- (c)
4
- (d)
none of these
The value of \(\frac { { \left( \frac { 3 }{ 5 } \right) }^{ 3 }-{ \left( \frac { 2 }{ 5 } \right) }^{ 3 } }{ { \left( \frac { 3 }{ 5 } \right) }^{ 2 }-{ \left( \frac { 2 }{ 5 } \right) }^{ 2 } }\) is :
- (a)
\(\frac { 1 }{ 5 } \)
- (b)
\(\frac { 19 }{ 25 } \)
- (c)
\(\frac { 21 }{ 25 } \)
- (d)
1
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
Each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys in a class of 60 students. If the total contribution thus collected is Rs. 1600, how many boys are there in the class ?
- (a)
25
- (b)
30
- (c)
50
- (d)
Data inadequate
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
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 3x+7=\({ x }^{ 2 }+P=7x+5,\)what is the value of P?
- (a)
\(\frac { 1 }{ 2 } \)
- (b)
\(8\frac { 1 }{ 4 } \)
- (c)
\(8\frac { 1 }{ 2 } \)
- (d)
Cannot be determined
A piece of cloth costs Rs. 35. If the length of the piece would have been 4 m longer and each metre costs Re. 1 less, the cost would have remained unchaged. How long is the piece ?
- (a)
9 m
- (b)
10 m
- (c)
12 m
- (d)
14 m
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)
\(\frac { 8 }{ 19 } \)
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
Vidushi and Sanya distribute Rs. 100 each in charity. Vidushi distributes money to 5 more people than Sanya and Sanya gives each Re. 1 more than Vidushi. How may people are recipients of the charity ?
- (a)
45
- (b)
60
- (c)
90
- (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 3x-5y=5 and \(\frac { x }{ x+y } =\frac { 5 }{ 7 } \),then what is the value of x-y?
- (a)
3
- (b)
4
- (c)
6
- (d)
9
- (e)
None of these
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