Write the correct answer
0 of 37 Questions completed
Questions:
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
0 of 37 Questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

If \(4 \) is a root of the quadratic equation \(x^2+px4=0 \) and the equation \(2x^2+px+k=0 \) has equal roots, find the value of \(k \).
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Solve for \(x:4x^24a^2x+(a^4b^4)=0 \).
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Solve for \(x:16x^28a^2x+(a^4b^4)=0 \).
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Find the numbers.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let the larger number be
Square of the smaller number
Square of the larger number
A/Q
square of smaller number
smaller number
The numbers are 9 and 6 or 9 and 6
Out of a number of Saras birds, one fourth the number are moving about in lotus plants, \(\dfrac{1}{9} \)th coupled (along) with \(\dfrac{1}{4} \) as well as 7 times the square root of the number move on a hill, 56 birds remain in Vakula trees. What is the total number of birds ?
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let the number of saras birds be
No. of birds moving about in lots
A/Q
No. of saras birds
A train, travelling at a uniform speed for 360 km, would have taken 48 minuts less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let original speed km/hr
A/Q
original speed km/hr
If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let age of zeba years
her age will be 14 years becomes if she was 1 year old the 5 years younger cannot happen
A sailor can row a boat 8 km downstream and return back to the starting point in 1 hour 40 minutes. If the speed of the stream is 2 km/hr, find the speed of the boat in still water.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let speed of boat in still water km/hr
A/Q
Out of a group of swans, 7/2 times the square root of the total number are playing on the shore of a pond. The two remaining ones are swinging in water. Find the total number of swans.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let total number of swans
A/Q
No. of swans
Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let present age of first friend
second friend
A/Q
Since , the equation has no real roots.
Hence the given situation is not possible.
Three consecutive positive integers are taken such that the sum of the square of the first and the product of the other two is 154. Find the integers.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let three consecutive integer be
A/Q
Integers are 8, 9, 10
The speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to the original point in 2 hrs 45 min. Find the speed of the stream.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let speed of stream km/hr
speed of boat downstream km/hr
speed of boat upstream km/hr
A/Q
Speed of stream km/hr
The product of the digits of a two digit positive number is 24. If 18 is added to the number, then the digits of the number are interchanged. Find the number.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let ten’s digit
Unit’s digit
Number
A/Q
No.
Two taps together can fill a tank in \(9\dfrac{3}{8} \) hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let the tap with smaller diameter fills in hours and larger diameter fills in hours
A/Q
The tap of smaller diameter can fill in 25 hours and larger in (25 – 10) = 15 hours
A train travels at a uniform speed for a distance of 63 km and then travels a distance of 72 km at an aveage speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train?
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let original speed km/hr
A/Q
original speed km/hr
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let larger number
Smaller number
A/Q
Smaller number
Number are 18 and 12 and 18 and 12
Two pipes running together can fill a tank in 6 minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would fill the tank separately.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let the taken to fill the cutan
Let and min respectively
A/Q
So and min
A motorboat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of stream.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Speed of boat in still water = 18 km/hr
Speed of stream km/hr
A/Q
speed of stream km/hr
A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow train was 10 km/hr less than that of the fast train, find the speed of the trains.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let speed of slow train be km/hr and fast train be km/hr
A/Q
Speed of slow train = 40 km/hr and fast train = 50 km/hr
Two pipes can together fill a tank in \(3\dfrac{1}{13} \) minutes.
If one pipe takes 3 minutes more than the other to fill it, find the time in which each pipe can fill the tank.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let one pipe fills the cetrain in minutes and other in minutes
A/Q
one pipe will take 5 min and other will take (5+3) = 8 min
By increasing the speed of a bus by 10 km/hr, it takes one and half hours less to cover a journey of 450 km. Find the original speed of the bus.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let speed of bus be km/hr
A/Q
as is not possible.
The hypotenuse of a right triangle is \(3\sqrt5 \) cm. If the smaller side is tripled and the larger side is doubled, the new hypotenuse will be 15 cm. Find the length of each side.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let smaller side be cm and larger side be cm
A/Q
…(3)
Also
…(2)
Solving (1) and (2)
Length of the smaller side = 3 cm and longer side = 6 cm
A man bought a certain number of toys for Rs 180. He kept one for his own use and sold the rest for one rupee each more than he gave for them. Besides getting his own toy for nothing, he made a profit of Rs 10. Find the number of toys, he initially bought.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let number of toys
cost of 1 toy
A/Q
SP of toys
Profit = SP – CP
Number of toys = 20
A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time, it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let usual speed be km/hr
New speed km/hr
usual speed of the plane = 750 km/hr
A train travels 300 km at a uniform speed. If the speed of the train had been 5 km/hour more, it would have taken 2 hours less for the same journey. Find the usual speed of the train.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let constant speed km/hr
A/Q
original speed = 25 km/hr
The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let speed of stream km/hr
A/Q
speed of the stream 5 km/hr
The sum of ages of father and his son is 45 years. 5 years ago, the product of their ages was 124. Determine their present ages.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The present age of son is 9 years and father is 36 years.
The numerator of a fraction is 3 less than its denominator. If 2 is addd to both numerator as well as denominator, the sum of new and original fraction is \(\dfrac{29}{20} \), find the frction.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The fraction is
The hypotenuse of a right angled triangle is 6 cm more than twice its shortest side. If third side is 2 cm less than the hypotenuse, find the sides of this triangle.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let length of shortest side m
hypotenuse
Third side
Sides are 10m, 24m, 26m
The differene of squares of two natural numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let two numbers be and
…(1)
…(2)
on solving two equation we get
If
If
Numbers are 9, 6 or 9, 6
The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is \(2\dfrac{16}{21} \), find the fraction.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Fraction
In a class test, the sum of the marks obtained by P in Mathematics and Science is 28. Had he got 3 more marks in Maths and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180. Find the marks obtained in the two subjects separately.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
…(1) and …(2)
P obtained 12 marks in mathematics and 16 in science or P obtained 9 marks in mathematics and 19 in science
A peacock is sitting on the top of a pillar which is 9 m high. From a point 27 m away from the bottom of the pillar, a snake is coming to its hole at the base of pillar. Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the hole is the snake caught?
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The snake is caught at (27 – 15) = 12m
In a class test the sum of Gagan’s, marks in Mathematics and English is 45. If he had 1 more mark in Maths and 1 less in English, the product of marks would have been 500. Find the original marks obtained by Gagan in Maths and English separately.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
on solving
speed of car at A = 60 km/hr, B = 40 km/hr
A trader bought a number of articles for Rs 900, five articles were found damaged. He sold each of the remaining articles at Rs 2 more than what he paid for it. He got a profit of Rs 80 on the whole transaction. Find the number of articles he bought.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Let no. of articles be
Hence no. of articles = 75
Two years ago a man’s age was three times the square of his son’s age. Three years hence his age will be four times his son’s age. Find their present ages.
Upload your answer to this question.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
on solving
son’s age = 5 years, father’s age = 29 years