If $$\left(\frac{P}{2}\right) = \left(\frac{Q}{5}\right) = \left(\frac{R}{6}\right)$$, then what is the value of $$P^2 : (P + Q)^2 : (Q + R)^2$$
Sign in
Please select an account to continue using cracku.in
↓ →
If $$\left(\frac{P}{2}\right) = \left(\frac{Q}{5}\right) = \left(\frac{R}{6}\right)$$, then what is the value of $$P^2 : (P + Q)^2 : (Q + R)^2$$
Two boats are travelling at the speed of 36 km/hr and 54 km/hr respectively towards each other. What will be the distance between the two boats one second before they collide?
Loading solution...
The average of the set of scores 512, 528, 556, 584 and 615 is:
Loading solution...
A certain sum of money becomes triple of itself in 8 years at simple interest. In how many years it will becomes five times of itself?
Loading solution...
Three partners P, Q and R share profit such that 4 times of the P's share is equal to 5 times of the Q's share and equal to 8 times of the R's share. What is the ratio of the profits of P, Q and R respectively?
Loading solution...
Shreyas can complete 4/5 part of a work in 16 days. Ruchi is 2.5 times as efficient as Shreyas. In how many days will Ruchi alone complete the same work?
Loading solution...
The table given below shows the marked price and selling price of 6 articles.

Discount Percentage = [(Marked price - Selling price)/Marked price] $$\times$$ 100
Which of the following sequence is correct of discount percentage?
Loading solution...
The length, breadth and height of a cuboid are 4 cm, 6 cm and 10 cm respectively. Find the total surface area.
Loading solution...
What will be the area of a rectangular field of length 45 cm and breadth 32 cm?
Loading solution...
Cost price of an article is Rs. 2650. If the loss percentage is 16 percent, then what is the selling price of the article?
Loading solution...
The average of marks obtained by S1 and S2 is 30 more than the average marks obtained by S2 and S3. If the marks obtained by S3 is 50, then what are the marks obtained by S1?
Loading solution...
40 men can construct a building in 100 days. How long will it take 80 men to do this work?
Loading solution...
The Least Common multiple of three different numbers is 40. Which of the following cannot be their Highest Common Factor?
Loading solution...
A trader buys two articles for Rs. 4000 each article. If he earns a profit of 10 percent on one and losses 30 percent on the other, then what will be his overall loss percentage?
Loading solution...
An item is sold at two successive discounts of 20 percent and 20 percent. The selling price of article after second discount is Rs. 3616. If it is sold only at one discount of 20 percent, then what be the selling price of the article?
Loading solution...
A = Rs 6000 is invested at simple interest for 5 years and annual rate of interest is 15 percent. B = Rs. 5000 is invested at simple interest for 2 years and annual rate of interest is 20 percent. What is the ratio of interests earned in A and B respectively?
Loading solution...
What is the value of $$\frac{43 \times 2 - 21 \ of \ 4}{28 - 7 \ of \ 5 + 9}$$?
Loading solution...
The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 schools is 10000. Number of boys in a particular school is shown as a percent of total number of boys in all these 8 schools.
What is the ratio of central angle formed by sector C, D and F together to the central angle formed by sector A, G and H together?
Loading solution...
A is 5 times B. B is how much percentage less than A?
Loading solution...
What is the value of $$\frac{1}{7} \times \frac{1}{8} \div \frac{72}{51} \ of \ \left(\frac{1}{9} + \frac{1}{8}\right) + \left(\frac{63}{56} \times \frac{48}{72}\right)$$?
Loading solution...
Which of the following letter cluster will replace the question mark(?) in the given series?
PB, RZ, TX, VV, ?
Loading solution...
Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All trees are flowers.
All flowers are petals.
Some petals are leaves.
Conclusions:
I. All trees are petals.
II. Some petals are flowers.
Loading solution...
Select the option that is related to the third word in the same way as the second word is related to the first word.
Resistance : Ohm :: Energy : ?
Loading solution...
Select the option that is related to the third word in the same way as the second word is related to the first word.
Canada : Ottawa :: Italy : ?
Loading solution...
In a certain code language, 'HOME' is written as 'MOHE'. How will 'CALM' be written in that language?
Loading solution...
In a certain code language, 'BONUS' is written as '215142119'. How will 'FANCY' be written in that language?
Loading solution...
Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All notebooks are pencils.
Some pens are notebooks.
Conclusions:
I. All pens are pencils.
II. Some pencils are pens.
Loading solution...
Select the option in which the numbers shares the same relationship in set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g.13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(2, 3, 5)
(5, 7, 11)
Loading solution...
Which of the following numbers will replace the question mark (?) in the given series?
3, 7, 15, 31, 63, 127, 255, ?
Loading solution...
Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern.(rotation is not allowed)

Loading solution...
Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).

Loading solution...
By Interchanging the given two numbers which of the following equation will be correct?
8 and 4
Loading solution...
In a certain code language. 'BHAKTI" is coded as 'GSIZFA'. What is the code for 'BIKCER' in that code language?
Loading solution...
Select the option that is related to the third number in the same way as the second number is related to the first number.
64 : 512 :: 81 : ?
Loading solution...
Seven players Virat, Rahul, Rohit, Surya, Hardik, Rishabh and Deepak are sitting around a circular table facing towards the centre (not necessarily in the same order). Rohit is second to the left of Virat. Virat is fourth to the right of Deepak. Hardik is to immediate left of Deepak. Surya is not the immediate neighbour of Rohit. Rishabh is second to the right of Hardik. Who is fourth to the right of Hardik?
Loading solution...
Which two numbers should be interchanged to make the given equation correct?
$$7 - 5 + 4 \times 2 = 25$$
Loading solution...
Seven friends H, J, K, L, M, N, and O are sitting around a circular table facing the centre. His sitting to the immediate right of L. N is sitting exactly between J and K. M sits to the immediate left of O. N sits second to the left of M. Who sits to the immediate right of O?
Loading solution...
Select the correct mirror image of the given figure when the mirror MN is placed to the right side of the figure.

Loading solution...
Which of the following numbers will replace the question mark (?) in the given series?
72, 78, 89, 95, 106, 112, 123, ?
Loading solution...
Amongst seven girls I, II, III, IV, V, VI and VII, each has a different age. VI is elder than only III. II is younger than only VII. IV is older than four other girls. I is younger than V. Who is the fourth eldest among the girls?
Loading solution...
The terms Kumi-Kata, Shintai, Ukemi are associated with which sports?
Loading solution...
The Muslim Women (Protection of Rights on Marriage) Act, 2019 declares the instant divorce granted by pronouncement of talaq three times as void and illegal. It provides for imprisonment for a term up to ________ and fine to the husband who practiced instant Triple Talaq.
Loading solution...
Which of the following is celebrated as birth anniversary of Gautama Buddha?
Loading solution...
'Romancing with Life' is an autobiography of the evergreen star _____________
Loading solution...
Minal wrote an essay on the largest moon of Saturn. Which among the following moons is it?
Loading solution...
FIFA World Cup is associated with ________ sport.
Loading solution...
Which of the following is NOT an example of Mass Media?
Loading solution...
The last Mughal Emperor who was sent to Jail in Rangoon was _____________
Loading solution...
Which of the following vitamins helps our body to use calcium for bones and teeth?
Loading solution...
Which among the following dance forms of India is associated with Odisha?
Loading solution...
Which layer of the soil has maximum concentration of humus?
Loading solution...
Which among the following is a tributary of river Narmada?
Loading solution...
Which part of the Indian constitution talks about the Union Territories?
Loading solution...
Which among the following memoir is based on ex-Prime Minister Dr Manmohan Singh?
Loading solution...
Which famous ruler was known as the "Second Ashoka"?
Loading solution...
The Union Minister of Petroleum and Natural Gas, Hardeep Singh Puri, in October 2022 inaugurated Asia's largest Compressed Bio Gas (CBG) plant in _________
Loading solution...
All human beings have ______________ pairs of chromosomes in the nuclei of their cells.
Loading solution...
Islamic style of architecture is also known as ______________ style.
Loading solution...
Which among the following is a noble chemical element of science periodic table?
Loading solution...
Which of the following tribe belongs to Indo-European Linguistic family?
Loading solution...
When was the Battle of Talikota fought?
Loading solution...
How many types of revenue receipts exist in the economy?
Loading solution...
According to the 2011 census, the sex ratio for India's population is __________
Loading solution...
Who administers the Union Territories of India?
Loading solution...
Mahatma Gandhi called off the Non-cooperation Movement in February 1922 after which incident?
Loading solution...
Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
These include the nature/ documentaries, including/ The Blue Planet and Planet Earth.
Loading solution...
Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
A long hoped-for revival in private investment has not take place.
Loading solution...
Select the most appropriate option to fill in the blank.
Still, this is a Frank Black album, with its ________ references and abstruse lyrics.
Loading solution...
Fill in the blank with the most appropriate option.
Be present ______________ the moment.
Loading solution...
Select the most appropriate antonym of the given word.
Complicate
Loading solution...
Select the most appropriate meaning of the given idiom.
Hit the hay
Loading solution...
Select the most appropriate word for the given group of words.
A group of ants
Loading solution...
Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
In the summer, the bear eaten a lot of berries.
Loading solution...
Choose the sentence with no spelling error.
Loading solution...
Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
There is not one/ that have not/ been duplicated.
Loading solution...
Select the appropriate synonym for the underlined word.
She couldn't really be irritated with him.
Loading solution...
Select the most appropriate meaning of the bracketed idiom in the given sentence.
He bought (a baker's dozen) of biscuits.
Loading solution...
Select the most appropriate option to fill in the blank.
The event, promised to be a grand show, will see a display of grit, ________ and mettle.
Loading solution...
Select the appropriate antonym for the underlined Word.
Our children need vital lessons in wealth management.
Loading solution...
Select the appropriate synonym for the underlined word.
The symbols were useless to him.
Loading solution...
Select the correctly spelt word.
Loading solution...
Choose the word that can substitute the given group of words.
A person, who travels in spacecraft
Loading solution...
Fill in the blank with the most appropriate choice.
His students from his time at Manchester University remember his lectures as extraordinarily ____________.
Loading solution...
Select the most appropriate option to substitute the bracketed segment in the given sentence. If there is no need to substitute it, select 'no substitution required'.
(Hardly had I started mowing the lawn that) it started raining.
Loading solution...
Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
If you want to have two cats, a male and a female will usually gotten along.
Loading solution...
In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Each went his way, the prince to ( 1 ) _______ the ways of the court, the brahmin to (2) ______ with Parasuram, the renowned scholar-warrior. He mastered (3) _______ , married a virtuous woman, and (4) ________ a beautiful son. (5) _________ poor, he was proud of his learning.
Select the most appropriate option to fill in blank number 1.
Loading solution...
Select the most appropriate option to fill in blank number 2.
Loading solution...
Select the most appropriate option to fill in blank number 3.
Loading solution...
Select the most appropriate option to fill in blank number 4.
Loading solution...
Select the most appropriate option to fill in blank number 5.
Loading solution...
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation