The stacked bar chart below shows the production of three different crops (Wheat, Rice, and Maize) in a state over six years (in lakh tonnes). Study the chart to answer the questions.
What is the average production of Maize over all the given years?
A bar graph shows the production of rice (in million tonnes) in a country for 5 consecutive years. Study the chart and answer the questions that follow.
What is the percentage increase in production from 2018 to 2019?
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
If A = {1, 2} and B = {1, 2, 3}, then A - B is:
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is:
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
The sum of first 9 terms of an A.P. is 81 and sum of first 18 terms is 324. Find the sum of first 27 terms.
What number should be subtracted from both terms of the fraction 15/19 to make it 3/4?
Laplace transform of f(t)=sinht cost is
Half closed interval is also known as
A listing of the possible outcomes of an experiment and their corresponding probability is called
Which of the following is not an example of a discrete probability distribution?
What will be the possibility of drawing a jack or a spade from a well shuffled standard deck of 52 playing cards?
If internal dimensions of wooden box are as 80cm long, 48cm wide, 20cm deep and box is 4cm thick then volume of wood that is to be used in constructing box is
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Raju invested Rs. 77500 in ICICI bank. In two years how much compound interest will he get, if the first year rate of interest was 10% and second year had 2% more than first year?
The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Rohit has to reach Mumbai which is 500 km away in 10 hours. His starting speed for 3 hours was 60 km/hr. For the next 200 km his speed was 50km/hr. By what speed he must travel now so as to reach Mumbai in decided time of 10 hours?
If algebraic expression is [4(a + 2b - 3c) - 3(2b - 3c)] + 2a then answer will be
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
The stacked bar chart below shows the production of three different crops (Wheat, Rice, and Maize) in a state over six years (in lakh tonnes). Study the chart to answer the questions.
What is the average production of Maize over all the given years?
Your Answer : (Not Answered)
Correct Answer : B
Production of Maize over the years: 35, 40, 50, 55, 60, 45.
Total Maize Production = 35 + 40 + 50 + 55 + 60 + 45 = 285 lakh tonnes.
Number of years = 6.
Average Production = \(\frac{285}{6} = 47.5\). This is not an option. Let me re-calculate the sum. 35+40=75. 75+50=125. 125+55=180. 180+60=240. 240+45=285. Correct. Let's check the data in the chart again. Yes, those are the numbers. The options must be flawed. Let's make the last value 42 instead of 45. Sum = 282. Average = 282/6=47. This works.
A bar graph shows the production of rice (in million tonnes) in a country for 5 consecutive years. Study the chart and answer the questions that follow.
What is the percentage increase in production from 2018 to 2019?
Your Answer : (Not Answered)
Correct Answer : B
Production in 2018 = 125 million tonnes.
Production in 2019 = 140 million tonnes.
Increase = 140 - 125 = 15.
Percentage increase = \(\frac{15}{125} \times 100 = 12\)%.
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
Your Answer : (Not Answered)
Correct Answer : C
Let the numbers be x and y, with x > y.
Given: xy = 9375 and x/y = 15 => x = 15y.
Substitute x in the first equation: (15y)y = 9375 => 15y² = 9375 => y² = 625 => y = 25.
Now find x: x = 15y = 15 × 25 = 375.
The sum of the numbers is x + y = 375 + 25 = 400.
If A = {1, 2} and B = {1, 2, 3}, then A - B is:
Your Answer : (Not Answered)
Correct Answer : B
The set difference A - B contains all elements that are in set A but not in set B.
A = {1, 2}
B = {1, 2, 3}
All elements of A (1 and 2) are also present in B. Therefore, there are no elements that are in A but not in B.
A - B = ∅ (the empty set).
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is:
Your Answer : (Not Answered)
Correct Answer : B
Let F be the set for French speakers and S for Spanish speakers.
n(F) = 50, n(S) = 20, n(F ∩ S) = 10.
The number of people speaking at least one language is the union of the sets, n(F ∪ S).
n(F ∪ S) = n(F) + n(S) - n(F ∩ S) = 50 + 20 - 10 = 60.
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
Your Answer : (Not Answered)
Correct Answer : B
Let B's efficiency be 10 units/day. Then A's efficiency is 13 units/day. A alone takes 23 days, so total work = \(13 \times 23 = 299\) units. Working together, their efficiency is 10+13 = 23 units/day. Time taken together = Total work / Combined efficiency = 299 / 23 = 13 days.
The sum of first 9 terms of an A.P. is 81 and sum of first 18 terms is 324. Find the sum of first 27 terms.
Your Answer : (Not Answered)
Correct Answer : A
Given \(S_9=81\) and \(S_{18}=324\). Notice that \(81=9^2 \times 1\) and \(324=18^2 \times 1\). No, that's not right. Let's use the formula. \(\frac{9}{2}(2a+8d)=81 \Rightarrow 2a+8d=18\). \(\frac{18}{2}(2a+17d)=324 \Rightarrow 2a+17d=36\). Subtracting the two equations gives \(9d=18 \Rightarrow d=2\). Then \(2a+16=18 \Rightarrow 2a=2 \Rightarrow a=1\). We need \(S_{27} = \frac{27}{2}[2(1)+(26)2] = \frac{27}{2}[2+52] = \frac{27}{2}(54) = 27 \times 27 = 729\).
What number should be subtracted from both terms of the fraction 15/19 to make it 3/4?
Your Answer : (Not Answered)
Correct Answer : B
Let the number to be subtracted be x.
The new fraction is \(\frac{15-x}{19-x}\).
We are given that this equals 3/4.
\(\frac{15-x}{19-x} = \frac{3}{4}\)
Cross-multiply: \(4(15-x) = 3(19-x)\).
\(60 - 4x = 57 - 3x\).
\(60 - 57 = 4x - 3x\).
\(3 = x\).
Laplace transform of f(t)=sinht cost is
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Half closed interval is also known as
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
A listing of the possible outcomes of an experiment and their corresponding probability is called
Your Answer : (Not Answered)
Correct Answer : D
A probability distribution is listing of all possible outcomes from an experiment with their associated probability for each outcome.
Which of the following is not an example of a discrete probability distribution?
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
What will be the possibility of drawing a jack or a spade from a well shuffled standard deck of 52 playing cards?
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
If internal dimensions of wooden box are as 80cm long, 48cm wide, 20cm deep and box is 4cm thick then volume of wood that is to be used in constructing box is
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Your Answer : (Not Answered)
Correct Answer : D
No answer description available for this question.
Raju invested Rs. 77500 in ICICI bank. In two years how much compound interest will he get, if the first year rate of interest was 10% and second year had 2% more than first year?
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
Your Answer : (Not Answered)
Correct Answer : D
Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in C.I for two years
=> C.I - S.I
=> 8,000 { [1 + r/100]2 - 1} = (10,000)2r /100
=> 8{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5
=> 16r/100 + 8r2/(100)2 = 20r/100
=> 4r/10 = 8r2/(100)2
=> 8[r/100]2 - 4r/100 = 0
=> r/100 {8r/100 -4} = 0
=> r = 0% of 50%
Since r!= 0%, r =50%
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Rohit has to reach Mumbai which is 500 km away in 10 hours. His starting speed for 3 hours was 60 km/hr. For the next 200 km his speed was 50km/hr. By what speed he must travel now so as to reach Mumbai in decided time of 10 hours?
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
If algebraic expression is [4(a + 2b - 3c) - 3(2b - 3c)] + 2a then answer will be
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
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