The following data consists of a line graph showing the percentage of rural population in five different states and a table showing the total population of these states. Study the data and answer the questions.
Line Graph: Rural Population %
Table: Total Population
| State | Total Population (in millions) |
|---|---|
| A | 20 |
| B | 25 |
| C | 30 |
| D | 25 |
| E | 20 |
What is the total rural population of State A and State C together?
A number whose fifth part increased by 4 is equal to its fourth part diminished by 10. The number is:
If \(\cot \theta = 7/8\), the value of \(\frac{(1+\sin\theta)(1-\sin\theta)}{(1+\cos\theta)(1-\cos\theta)}\) is:
The angle which is four times its supplement is:
If the number 7x81y6 is divisible by 36, and y can be 7, what is the value of \(x-y\)?
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
The sum of the probabilities of all elementary events of an experiment is p, then
How many times do the hands of a clock are in perpendicular to each other in a day?
At what time between 4 and 4.59 will the hands of a watch point in opposite directions?
How much does a watch gain or lose per day, if its hands coincide every 64 minutes?
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Curved surface area of a cone is 308 cm⊃2; and its slant height is 14 cm.
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Sum of 2s + 4t -3u + 5v, -s + 2t + 9u - 11v and 3s - 4t + 2u - 3v is
Two pipes A & B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both the pipes are opened. The cistern will be filled in just 30 minutes if if the pipe B is turned OFF after how many minutes ..?
Two prime numbers A, B
If A and B are twin primes with B>23, then which of the following numbers would always divide A+B?
The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
The following data consists of a line graph showing the percentage of rural population in five different states and a table showing the total population of these states. Study the data and answer the questions.
Line Graph: Rural Population %
Table: Total Population
| State | Total Population (in millions) |
|---|---|
| A | 20 |
| B | 25 |
| C | 30 |
| D | 25 |
| E | 20 |
What is the total rural population of State A and State C together?
Your Answer : (Not Answered)
Correct Answer : C
We need to calculate the rural population for each state and then add them.
State A: Total Population = 20 million. Rural Population % = 60%.
Rural Population = 60% of 20 million = 0.60 * 20 = 12 million.
State C: Total Population = 30 million. Rural Population % = 45%.
Rural Population = 45% of 30 million = 0.45 * 30 = 13.5 million.
Total Rural Population (A + C) = 12 + 13.5 = 25.5 million.
A number whose fifth part increased by 4 is equal to its fourth part diminished by 10. The number is:
Your Answer : (Not Answered)
Correct Answer : C
Let the number be x.
The equation is \(\frac{x}{5} + 4 = \frac{x}{4} - 10\).
\(4 + 10 = \frac{x}{4} - \frac{x}{5}\).
\(14 = \frac{5x - 4x}{20}\).
\(14 = \frac{x}{20}\).
\(x = 14 \times 20 = 280\).
If \(\cot \theta = 7/8\), the value of \(\frac{(1+\sin\theta)(1-\sin\theta)}{(1+\cos\theta)(1-\cos\theta)}\) is:
Your Answer : (Not Answered)
Correct Answer : B
The expression simplifies using the difference of squares formula, \((a+b)(a-b) = a^2 - b^2\).
Numerator = \(1 - \sin^2\theta = \cos^2\theta\).
Denominator = \(1 - \cos^2\theta = \sin^2\theta\).
The expression becomes \(\frac{\cos^2\theta}{\sin^2\theta} = \cot^2\theta\).
Given \(\cot \theta = 7/8\), the value is \((\frac{7}{8})^2 = \frac{49}{64}\).
The angle which is four times its supplement is:
Your Answer : (Not Answered)
Correct Answer : B
Let the angle be x. Its supplement is 180° - x.
x = 4(180° - x)
x = 720° - 4x
5x = 720°
x = 144°.
If the number 7x81y6 is divisible by 36, and y can be 7, what is the value of \(x-y\)?
Your Answer : (Not Answered)
Correct Answer : A
For a number to be divisible by 36, it must be divisible by both 4 and 9.
1. Divisibility by 4: The number formed by the last two digits, y6, must be divisible by 4. If we take the given possibility of y=7, we get 76, which is divisible by 4 (\(19 \times 4 = 76\)).
2. Divisibility by 9: The sum of the digits must be divisible by 9. The number is 7x8176. Sum = \(7+x+8+1+7+6 = 29+x\). For this sum to be a multiple of 9, the closest multiple is 36. So, \(29+x=36\), which gives \(x=7\).
We have \(x=7\) and \(y=7\). Therefore, \(x-y = 7-7 = 0\).
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
The sum of the probabilities of all elementary events of an experiment is p, then
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
How many times do the hands of a clock are in perpendicular to each other in a day?
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
At what time between 4 and 4.59 will the hands of a watch point in opposite directions?
Your Answer : (Not Answered)
Correct Answer : D
At 4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand must gain 50 min. spaces.
55 min. spaces are gained in 60 min.
50 min. spaces are gained in 60/55 x 50 = 54 (6/11) min
Required time = 54 6/11 min past 4
How much does a watch gain or lose per day, if its hands coincide every 64 minutes?
Your Answer : (Not Answered)
Correct Answer : D
55 min. spaces are covered in 60 min.
60 min. spaces are covered in (60/55 × 60) min = 65 5/11 min
Loss in 64 min = (65 5/11 - 64) = 16/11 min
Loss in 24 hrs= (16/11 × 1/64 × 24 × 60) min = 32 (8/11) min.
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Your Answer : (Not Answered)
Correct Answer : C
On 31st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
therfore, on 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday
Curved surface area of a cone is 308 cm⊃2; and its slant height is 14 cm.
Your Answer : (Not Answered)
Correct Answer : B
Curved surface area=πrl
So r=7 cm
Now total surface area=πr⊃2;+πrl=462 cm⊃2;
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Your Answer : (Not Answered)
Correct Answer : B
S.I. = (1200 * 10 * 1)/100 = Rs. 120
C.I. = [1200 * (1 + 5/100)⊃2; - 1200] = Rs. 123 Difference = (123 - 120) = Rs. 3.
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Your Answer : (Not Answered)
Correct Answer : C
RS = 5 ¾ - 4 ½ = 1 ¼
T = 3 ½ h.
D = 5/4 * 7/2 = 35/8 = 4 3/8 km
Sum of 2s + 4t -3u + 5v, -s + 2t + 9u - 11v and 3s - 4t + 2u - 3v is
Your Answer : (Not Answered)
Correct Answer : D
No answer description available for this question.
Two pipes A & B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both the pipes are opened. The cistern will be filled in just 30 minutes if if the pipe B is turned OFF after how many minutes ..?
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Two prime numbers A, B
If A and B are twin primes with B>23, then which of the following numbers would always divide A+B?
Your Answer : (Not Answered)
Correct Answer : A
Any prime number greater than 3 will be in the form of 6x+1 or 6x−1.
Thus, both prime number are twins:
Let first be 6x−1
and 2nd be 6x+1
Sum=12x
Thus it is always divisible by 12.
The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?
Your Answer : (Not Answered)
Correct Answer : C
Given that, \( A + B = 12+ B + C \)
\(⇒ A - C = 12\)
Therefore, C is younger than A by 12 years
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
Your Answer : (Not Answered)
Correct Answer : C
Let required number of buckets \(=x\)
If capacity of buckets are reduced, more number of buckets are required (indirect proportion).
Therefore,
\(25:x=\dfrac{2}{5}:1\\ \Rightarrow 25=\dfrac{2x}{5}\\ \Rightarrow x=62.5\)
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
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