Quantitative Aptitude - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
If p : q = 2 : 3 and x : y = 4: 5, then the value of 5px + 3qy : 10px + 4qy is -
- (a)
71 :82
- (b)
27:28
- (c)
17 :28
- (d)
None of these
If 5x2 13xy + 6y2 = 0, then x : y is
- (a)
(2 : 1) only
- (b)
(3 : 5) only
- (c)
(5 : 3) or (1 : 2)
- (d)
(3 : 5) or (2 : 1)
The ratio of numbers is 1:2:3 and sum of their squares is 504, then the numbers are -
- (a)
6,12,18
- (b)
3,6,9
- (c)
4,8,12
- (d)
5,10,15
What least number must be added to each one 6, 14, 18, 38 to make them in proportion?
- (a)
1
- (b)
2
- (c)
3
- (d)
4
The angles of a triangle are in ratio 2:7:11. The angles are
- (a)
(200, 700, 900)
- (b)
(300,700,800)
- (c)
(180,630,990)
- (d)
None of these
A person has assets worth Rs 1,48,200. He wish to divide it amongst his wife, son and daughter in the ratio 3:2:1 respectively. From this assets the share of his son will be
- (a)
Rs 74,100
- (b)
Rs 37,050
- (c)
Rs 49,400
- (d)
Rs 24,700
The ratio between the speeds of two trains is 7:8. If the second train runs 400 kms in 5 hours, the speed of the first train is
- (a)
10 km/hr
- (b)
50 km/hr
- (c)
71 km/hr
- (d)
70 km/hr
A bag contains 23 number of coins in the form of 1 rupee, 2 rupee and 5 rupee coins. The total sum of the coins is Rs 43. The ratio between 1 rupee and 2 rupees coins is 3:2. Then the number of 1 rupee coins
- (a)
12
- (b)
8
- (c)
10
- (d)
16
The profits of a Firm are to be distributed in a suitable ratio. Suitable Ratio is the ratio whose terms differ by 40 and the measure of which is 2/7.
- (a)
280 : 2
- (b)
16 : 56
- (c)
80 : 7
- (d)
40 : 14
The ages of A and B are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present ages are
- (a)
30 years, 10 years
- (b)
45 years, 15 years
- (c)
21 years, 7 years
- (d)
60 years, 20 years
The mean proportion between 24 and 54 is
- (a)
33
- (b)
34
- (c)
35
- (d)
36
If 4, x and 9 are in proportional then x is equal to
- (a)
36
- (b)
6 : 5
- (c)
6
- (d)
24
20 litres of a mixture contains milk and water in the ratio 5:3. If 4 litres of this mixture be replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be
- (a)
2 : 1
- (b)
7 : 3
- (c)
8 : 3
- (d)
4 : 3
- (e)
9 : 1
21/2 x43/4 is equal to
- (a)
A fraction
- (b)
An integer
- (c)
1
- (d)
None of these
The value of \(\frac { 1 }{ { (216) }^{ \frac { 2 }{ 3 } } } +\frac { 1 }{ { (256) }^{ \frac { 3 }{ 4 } } } +\frac { 1 }{ { (32) }^{ \frac { 1 }{ 5 } } } \) is
- (a)
102
- (b)
105
- (c)
107
- (d)
109
The value of [(10)150 \(\div\) (10)146] is
- (a)
1000
- (b)
10000
- (c)
100000
- (d)
106
Solve for 'b' if 122b+4 = 33b x 4b+8
- (a)
-4
- (b)
2
- (c)
4
- (d)
-2
if \(\frac { 9y.{ 3 }^{ 2 }.(3^{ y })^{ 1 }\quad { 27 }^{ y } }{ { 3 }^{ 3x }.{ 2 }^{ 3 } } =\frac { 1 }{ 27 } \) then x - y is given by
- (a)
-1
- (b)
1
- (c)
0
- (d)
None
If 3x = 5y = (75)z then
- (a)
\(\frac { 1 }{ x } +\frac { 2 }{ y } =\frac { 1 }{ z } \)
- (b)
\(\frac { 2 }{ x } +\frac { 1 }{ y } =\frac { 1 }{ z } \)
- (c)
\(\frac { 1 }{ x } +\frac { 1 }{ y } =\frac { 1 }{ z } \)
- (d)
None of these
if \(a=\frac { \sqrt { 3 } +\sqrt { 2 } }{ \sqrt { 3 } -\sqrt { 2 } } \) then the value of 2a4 - 21a3 + 12a2 - a + 1 is
- (a)
21
- (b)
1
- (c)
12
- (d)
None
If x = \(\sqrt { 2-\sqrt { 2-\sqrt { 2 } } .. } \infty \) the value of x is given by -
- (a)
-2
- (b)
1
- (c)
2
- (d)
0
The product of \({ x }^{ { 2 }^{ n-1 } }+{ y }^{ { 2 }^{ n-1 } }\)and \(x^{2^{n-1}}-y^{2^{n-1}}\)
- (a)
\(x^{2^n}-y^{2^n}\)
- (b)
x2 - y2
- (c)
xa - yb
- (d)
None of these
log\(_{2\sqrt{3}}{1728}\)1728 is equal to
- (a)
2√3
- (b)
2
- (c)
6
- (d)
None of these
The logarithm of 21952 to the base of 2√7 and 19683 to the base of 3√3 are
- (a)
Equal
- (b)
Not equal
- (c)
Have a difference of 2269
- (d)
None
Given log 2 = 0.3010 and log 3 = 0.4771 then the value of log 24
- (a)
1.3081
- (b)
1.1038
- (c)
1.3801
- (d)
1.8301
If \({1\over2}log\ a={1\over3}log\ b={1\over 5}log\ c\) the value of a4-bc is -
- (a)
0
- (b)
1
- (c)
-1
- (d)
None
If a = b2 = c3 = d4 then the value of loga(abcd)i
- (a)
\(1+{1\over2}+{1\over 3}+{1\over 4}\)
- (b)
\(1+{1\over2!}+{1\over 3!}+{1\over 4!}\)
- (c)
1+2+3+4
- (d)
None
\(log5\left(1+{1\over 5}\right)+log5\left(1+{1\over 6}\right)+log5\left(1+{1\over 7}\right)+.....log5\left(1+{1\over 624}\right)\)
- (a)
5
- (b)
4
- (c)
3
- (d)
2
Value of log32log43log54.... log1514log1615 is
- (a)
1/3
- (b)
1/2
- (c)
1/5
- (d)
1/4
If log303 = a, log305 = b, then log30 8 =
- (a)
3(1-a-b)
- (b)
(a-b+1)
- (c)
(1-a-b)
- (d)
1(a-b+1)