15 IPMAT Rohtak 2019
15.1 Quantitative Ability
Instructions [1-5]: Study the data given below and answer the following questions. The pie charts show the distance covered by a boat moving upstream and downstream on different days of a week, and the table shows the speed of the stream (in km/hr) on different days of a week.
If the time taken by boat to travel upstream on Wednesday is \(\frac{6}{7}\) times the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph, then find the speed of boat in still water on Wednesday.
If the time taken by boat to travel upstream on Monday is \(27\frac{1}{5}\) hours more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday.
If the speed of boat in still water on Saturday was 27 km/hr and the speed of boat in still water on Wednesday was more than that of Saturday and time taken to travel upstream on Wednesday is \(66\frac{2}{3}\%\) times the time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday.
The speed of boat in still water on Saturday was 21 km/hr and that on Sunday was more than that on Saturday. If the time taken by boat to travel upstream on Saturday is \(28\frac{4}{7}\%\) times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday.
If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday.
A container contains \(X\) litres of milk. A thief stole 50 litres of milk and replaced it with the same quantity of water. He repeated the same process further two times. Thus, milk in the container is only \(X - 122\) litres. Then what is the quantity of water in the final mixture?
Veena has to pay Rs. 2460 to Sita, 5 months later at 6% SI per annum, and Gita has to pay Sita same amount at 7.5% SI per annum after certain months. If both took the same amount of loan from Sita then Gita paid loan after how many months?
Use the figure below to answer Questions 8 through 9. What is the area of the shaded figure?
Use the figure below to answer Questions 8 through 9. What is the ratio of the area of Circle M and the area of Circle K?
If \(x\%\) of \(y\) is equal to \(z\) then what percentage of \(z\) is \(x\)?
The ratio of ages of A and B is 4 : 5 respectively. Four years later the ratio of ages of A and B will become 5 : 6 respectively. What is the present age of B?
The average marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?
A and B can complete a piece of work in 12 days and 18 days respectively. They started the work together but A left after 4 days. In how many more days will B alone complete the remaining work?
A sum becomes Rs. 8820 in 2 years and Rs. 9261 in 3 years at compound interest. Find the rate percent per annum.
The difference between simple interest and compound interest on a sum of money for 2 years at 10% per annum is Rs. 25. Find the principal.
Two trains of lengths 120 m and 180 m are running in opposite directions with speeds 54 kmph and 36 kmph respectively. In how much time will they cross each other?
A shopkeeper marks his goods 25% above the cost price and allows a discount of 10%. What is his profit percentage?
A man buys an article for Rs. 800 and sells it at a loss of 15%. At what price should he sell it to gain 20%?
If the numerator of a fraction is increased by 20% and the denominator is decreased by 20%, then the value of the fraction becomes 3. Find the original fraction.
In how many ways can a committee of 5 members be formed from 8 men and 7 women such that the committee contains at least 3 women?
15.2 Logical Reasoning
Eight Girls M, N, O, P, Q, R, S and T are sitting in a line facing north and likes different colours such as Red, Pink, Yellow, White, Blue, Violet, Brown and Black but not necessarily in the same order.
The one who likes yellow sits fourth to the right of M. Neither M nor yellow sits at extreme ends. N sits third to the left of R. The number of girls sits between T and the one who likes violet is same as S and the one who likes blue. T sits to the immediate left of black. The number of girls sits between the one who likes red and white is same as the one who likes white and pink. P does not sit adjacent to T. R likes violet colour and O likes brown colour. One person sits between S and the one who likes yellow. S does not like red colour and does not sit at any of the extreme end.
How many girls sit between M and N?
Eight Girls M, N, O, P, Q, R, S and T are sitting in a line facing north and likes different colours such as Red, Pink, Yellow, White, Blue, Violet, Brown and Black but not necessarily in the same order.
The one who likes yellow sits fourth to the right of M. Neither M nor yellow sits at extreme ends. N sits third to the left of R. The number of girls sits between T and the one who likes violet is same as S and the one who likes blue. T sits to the immediate left of black. The number of girls sits between the one who likes red and white is same as the one who likes white and pink. P does not sit adjacent to T. R likes violet colour and O likes brown colour. One person sits between S and the one who likes yellow. S does not like red colour and does not sit at any of the extreme end.
T likes which of the following colour?
B is the father of Q. B has only two children. Q is the brother of R. R is the daughter of P. A is the granddaughter of P. S is the father of A. How is S related to Q?
Six dice with upper faces erased are as shown. The sum of the numbers of dots on the opposite face is 7. If the odd numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?
In a certain code, 15789 is written as XTZAL and 2346 is written as NPSU. How is 23549 written in that code?
Saurabh walks 80 meters towards south. Then, turns to his right and starts walking straight till he completes another 80 meters. Then, again turning to his left he walks for 60 meters. He then turns to his left and walks for 80 meters. How far is he from his initial position?
Fact 1: All cats like to run. Fact 2: Some cats like to swim. Fact 3: Some cats look like their masters.
If the first three statements are facts, which of the following statements must also be a fact?
(I): All cats who like to swim look like their masters. (II): Cats who like to swim also like to run. (III): Cats who like to run do not look like their masters.
Nurse Kemp has worked more night shifts in a row than Nurse Rogers, who has worked five. Nurse Miller has worked fifteen night shifts in a row, more than Nurses Kemp and Rogers combined. Nurse Calvin has worked eight night shifts in a row, less than Nurse Kemp. How many night shifts in a row has Nurse Kemp worked?
P, Q, R and T answered an Examination. In the results, Q was immediately followed by P but no one was there after P. R was ahead of Q but could not score as much as T. Who scored the second highest?
In this question, one term in number series is incorrect. Find out the incorrect number.
56, 72, 90, 110, 132, 139
In a procession, 7 boys are standing in a row. Kavikant is standing left to Anurag but right to Bipin. Jayant is standing right to Gourav and left to Bipin. Similarly, Komal is standing right to Anurag and left to Ramu. Find out who is standing in the middle.
A total of 78 celebrities were standing in a row. Karan Johar was standing at the 25th position from the left. Salman Khan was standing at 20th position from the right. How many celebrities were standing between Karan Johar and Salman Khan?
Find the missing number in the given series 12, 38, 116, 350, 1052, ?.
If A+B means A is the brother of B; A-B means A is the sister of B; A×B means A is the father of B.
Which of the following means that ‘C is the son of M’?
Following analogy shows the relationship between two words. Select the pair which has the same relationship.
“Theft : Confess”
Statements: Some ships are boats. All boats are submarines. Some submarines are yatches.
Conclusions: I. Some yatches are boats. II. Some submarines are boats. III. Some submarines are ships. IV. Some yatches are ships.
Statements: Some Google is Twitter. No Twitter is Facebook. All Facebook are WhatsApp.
Conclusions: (I) Some WhatsApp are Google is a possibility. (II) Some Twitter can never be Facebook.
In a trade fair 7 cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order:
Cadillac is next to right of Fargo. Fargo is fourth to the right of Fiat. Maruti car is between Ambassador and Bedford. Fiat which is third to the left of Ambassador, is at one end.
Which of the cars are on both the sides of Cadillac car?
In a trade fair 7 cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order:
Cadillac is next to right of Fargo. Fargo is fourth to the right of Fiat. Maruti car is between Ambassador and Bedford. Fiat which is third to the left of Ambassador, is at one end.
Which of the following statement is correct?
If A stands for ‘+’, B stands for ‘-’, C stands for ‘×’, what is the value of (10C4) (A) (4C4)B6 ?
15.3 English Language
SEDATIVE : SLEEP
JEOPARDY : PERIL
Agog
Tantamount
- Especially in their own languages because it ensures a better understanding of subjects
- Of the important themes are to ensure that students have ready access to the right learning material
- The unemployment rate has dropped sharply this quarter.
- It may only be temporary.
“But”
Doordarshan is also a great window to the global market place. Goods and services are continuously being sold through Doordarshan’s dream world.
All news is elite centered; but Doordarshan telecast is usually more ethnocentric. Its accent is on people, places and events.
With over 1 billion people talking in several languages and a variety of lifestyles to boot, it is obvious one cannot address all of them together all the time.
Doordarshan’s promotions must go beyond mere reportage of facts, and capture the story between the lines.
“Because”
It is ironic, not tragic, that minorities in our country have come to be identified with religion and not with community or profession.
The establishment of many such organizations are testimony to the growing antagonism to secularism.
Secularism today is being taken as a threat to religious identities, to the existence of religious diversities, though secularism was never conceived as such.
This is the reason that secularism today has come to mean as preservation of religious minorities in their traditional modes.
Kindly choose the appropriate word for connecting the following sentences.
- The milkman in my neighborhood likes to talk to his customers.
- He provides them milk in every morning.
Naveen is so lazy that he …….
“You are thinking very highly about Prashant but he is not so” means
The war of Mahabharata (a) / is the full length illustration (b) / of a righteous war (c) / No error (d)
To perform this experiment (a) / drop little sugar (b) / into a glass of water(c) / No error (d)
One spring, while visiting in the little village among the High Mountains where her ancestors had dwelt for _____________ my Aunt kindled the callow fancy of my uncle, Howard Carpenter, then an idle, shiftless boy of twenty-one.
Which word, if inserted in the blank, makes the most sense in the context of the passage?
One spring, while visiting in the little village among the High Mountains where her ancestors had dwelt for _____________ my Aunt kindled the callow fancy of my uncle, Howard Carpenter, then an idle, shiftless boy of twenty-one.
What is the meaning of the word shiftless as it is used in the passage?
Mahatma Gandhi believed that industrialisation was no answer to the problems that plague the mass of India’s poor and that villagers should be taught to be self-sufficient in food, weave their own cloth from cotton and eschew the glittering prizes that the 20th century so temptingly offers. Such an idyllic and rural paradise did not appear to those who inherited the reins of political power.
The meaning of ‘glittering prizes that the century so temptingly offers’ is
Mahatma Gandhi believed that industrialisation was no answer to the problems that plague the mass of India’s poor and that villagers should be taught to be self-sufficient in food, weave their own cloth from cotton and eschew the glittering prizes that the 20th century so temptingly offers. Such an idyllic and rural paradise did not appear to those who inherited the reins of political power.
The basis of ‘an idyllic and rural paradise’ is
Someone who is willing to take risks or to do something shocking
To use special chemicals, smoke or gas to destroy the harmful insects or bacteria in a place
It’s a state in which a person has apprehensions all the time about their well-being and considers that they are ill.