11 JIPMAT 2023
11.1 Quantitative Ability
Given below are two statements:
Statement (I): 4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.
Statement (II): The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days. Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.
In light of the above statements, choose the most appropriate answer.
The number of integral solutions of the equation \(7\bigl(y+\frac{1}{y}\bigr)-2\bigl(y^{2}+\frac{1}{y^{2}}\bigr)=9\) is:
Given below are two statements:
Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1:5:12. The product of the two numbers is 18.
Statement (II): The last digit in the decimal representation of \(2^{91}\) is 6.
In light of the above statements, choose the most appropriate answer.
In a Women’s Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:
The total number of seconds in \(P\) weeks, \(P\) days, \(P\) hours, \(P\) minutes, and \(P\) seconds is:
Sumit has Rs. 90,000. He purchases three items A, B, and C for Rs. 15,000, Rs. 13,000, and Rs. 35,000 respectively and puts the remaining money in a bank deposit that pays compound interest @15% per annum. After 2 years, he sells the three items at 80% of their original price and withdraws his entire money from the bank. What is the total change in his asset?
How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?
If the difference between the circumference and radius of a circle is 37 cm, using \(\pi=\frac{22}{7}\), what is the circumference (in cm) of the circle?
Let A and B be two events such that \(P(A)=0.25\), \(P(B)=0.50\), and \(P(A\cap B)=0.14\). The probability that neither A nor B occurs is:
Which of the following statements are True in the context of circles?
A. A tangent of a circle touches it at two points.
B. A circle
can have two parallel tangents at the most.
C. There is no tangent
to a circle passing through a point inside the circle.
Choose the correct answer from the options given below:
\(\sqrt{3+\sqrt{5}}=\)
Which of the following statements are True?
A. If the mean of x, y, z is y, then \(x+z=2y\).
B. Median of 15, 28, 72, 56,
44, 32, 31, 43 and 51 is 43.
C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4,
and 3 is 3.
Choose the correct answer from the options given below:
If \(k^{2}-1\) is divisible by 8, then \(k\) is:
A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:
If the eight-digit number \(5a32465b\) is divisible by 88, then \(2a+5b=\)
Sonali buys 2 Pen Drives A and B; their cost prices are in the ratio 5:6. If she sells them at a 10% profit each, she earns a total profit of ₹22. What will be her total profit, if she sells Pen Drive A at a 20% loss and Pen Drive B at a 30% profit?
If \(\sin\theta-\cos\theta=0\), the value of \(\sin^{4}\theta+\cos^{4}\theta\) is:
The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is:
The graph of a polynomial \(y=f(x)\) is shown in the figure. The number of its zeros is:
Given below are two statements:
Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is \(1540\ \text{cm}^3\) (Take \(\pi=\frac{22}{7}\)).
Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm² (Take \(\pi=\frac{22}{7}\)).
In light of the above statements, choose the most appropriate answer.
If the pair of linear equations \(2x+3y=7\) and \(2px+(p+q)y=28\) has an infinite number of solutions, then (p, q):
In \(\triangle ABC\), \(\angle B=90^{\circ}\), \(BC=5\ \text{cm}\), \(AC-AB=1\ \text{cm}\). The value of \(\frac{1+\sin C}{1+\cos C}\) is:
In a survey of 100 students, the number of students studying various languages were found to be:
- English only — 18
- English but not Hindi — 23
- English and German — 8
- English — 26
- German — 48
- German and Hindi — 8
- No language — 24
Then, which of the following statements are true?
A. Number of students who were studying Hindi is 18.
B. Number of
students who were studying English and Hindi is 3.
C. Number of
students who were studying English, Hindi and German is 3.
Choose the correct answer from the options given below:
Amicable numbers are a pair of distinct natural numbers (a, b) such that the sum of the proper divisors of a equals b and the sum of the proper divisors of b equals a. Given that (220, y) is a pair of amicable numbers, y equals:
Given below are two statements in the context of throwing two different dice together:
Statement (I): The probability that the two numbers obtained have an even sum is 0.50.
Statement (II): The probability that the two numbers obtained have an even product is 0.75.
In light of the above statements, choose the most appropriate answer.
The expression \(2x^{3}+ax^{2}+bx+3\) where a and b are constants, has a factor of \(x-1\) and leaves a remainder of 15 when divided by \(x+2\). Then, \((a,b)=\)
Aman takes half the time in rowing a certain distance downstream than upstream.
Statement (I): Ratio of the speed of the boat in still water to the speed of the water current is 2:1.
Statement (II): If the speed of the boat in still water is 6 km per hour, then the speed of the water current is 2 km per hour.
Choose the most appropriate answer.
The probabilities that A, B, and C can solve a problem independently are \(1/3,\ 1/3,\) and \(1/4\) respectively. The probability that only two of them are able to solve the problem is:
Given below are two statements:
Statement (I): \((x^{2}+3x+1)=(x-2)^{2}\) is not a quadratic equation.
Statement (II): The nature of roots of the quadratic equation \(x^{2}+2x\sqrt{3}+3=0\) are real and equal.
In light of the above statements, choose the most appropriate answer.
Two identical solid cubes of side 5 cm are joined end to end. The total surface area of the resulting cuboid is:
Assertion [A]: Sum of the first hundred even natural numbers divisible by 5 is 45050. Reason (R): Sum of the first n-terms of an Arithmetic Progression is given by \(S=(n/2)(a+l)\) where a = first term, l = last term.
The area of the circle that can be inscribed in a square of side 6 cm is:
The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. The ratio of their heights is:
11.2 Logical Reasoning
Instructions [34-37]:
The table below gives the marks obtained by 6 students in 6 subjects in an examination. The numbers in brackets are the maximum marks in each subject.
| STUDENTS | Physics (120) | Biology (120) | Maths (120) | Geology (120) | Economics (120) | English (120) |
|---|---|---|---|---|---|---|
| A | 70 | 75 | 70 | 65 | 60 | 70 |
| B | 80 | 70 | 75 | 60 | 50 | 75 |
| C | 75 | 72 | 71 | 70 | 60 | 65 |
| D | 60 | 70 | 65 | 55 | 60 | 70 |
| E | 70 | 75 | 65 | 50 | 55 | 60 |
| F | 65 | 70 | 60 | 65 | 50 | 60 |
Based on the provided table of student marks, what is the overall percentage of students A, B and C respectively?
Find the average marks obtained by students in Economics and Physics respectively.
How many students have obtained more than 65% overall marks in all the subjects and who are those students?
In which subject is the overall percentage maximum and what is the percentage?
Instructions [38-40]:
The pie chart below shows the brand-wise share of total sales (value-wise) in 2005 for five brands A, B, C, D and E. Refer to the chart and answer the questions that follow.
Based on the pie chart of brand sales, if in 2006, sales of brand A increased by 50% and brand E increased by 10%, with other brands remaining the same, by what percentage did total sales grow in 2006 compared to 2005?
Considering the same sales changes as the previous question, if total sales in 2006 were ₹2,16,000, what was the approximate sale of brand A in 2005?
In 2006, if sales value of B increases by 10% and that of A decreases by 10%, what is the percentage change in total sales, if sales of all other brands remain the same?
Five people A, B, C, D, and E participated in a race. D ran faster than E but slower than B. C ran slower than E but was not the slowest. Who ran at the fastest speed?
BJMS: EMPV :: AWPL:?
Instructions [43-44]:
Number of vehicles (in 100s) passing through toll plaza in September:
| Week | Bus | Truck | Car |
|---|---|---|---|
| I | 28.3 | 15.4 | 40.2 |
| II | 24.5 | 12.3 | 36.1 |
| III | 20.4 | 14.2 | 42.9 |
| IV | 24.4 | 24.4 | 39.8 |
Based on the table of vehicles passing a toll plaza, in which week of September was the total number of vehicles the second highest?
What was the average number of buses passing through the toll plaza per week?
In a certain coded language CAT is coded as 6423. How will LION be coded in that language?
Suppose that the year 2008 starts on a ‘Monday’. The calendar for the year 2009 will be the same in the year:
Two cars A and B start running from the opposite ends X and Y of a national highway with a length of 120 Km. Car A starts from end X and runs 30 Km straight. It then takes a right turn and runs 15 Km, then turns left and runs for 30 Km. Thereafter, the car turns towards the highway and reaches back on the highway. In the meantime, the car B has also started running from the other end Y of the highway, but due to a minor breakdown could run only for 35 Km along the highway till the time the car A has reached back on the highway. What is the distance between two cars at this point?
Six persons P, Q, R, S, T, and U were sitting around a hexagon table facing the center. U was opposite to P, who was to the immediate left of R. S was to the immediate right of U and T was exactly between P and S. What was the sitting location of Q?
Find the missing term in the series: 10, 11, 13, 17, 25, 31, 33, ?
Unscramble the letters to form meaningful words and find the odd one out: EIWNTR, LCUOD, UMRSME, PIGRSN
Find the number that can replace the question mark in the series: 15, 18, 17, 21, 20, 25, 24, 30, 29, ?
Find the number that can replace the question mark in the series: 2, 12, 30, 56, 90, ?
Match List I and List II and choose the correct answer from the options given below.
| List I (Angle between hour and minute hand) | List II (Time) |
|---|---|
| A. \(105°\) | I. 7:15 |
| B. \(45°\) | II. 9:15 |
| C. \(127.5°\) | III. 4:30 |
| D. \(187.5°\) | IV. 2:30 |
A clock shows the time as 3:00 p.m. What would be the time on the clock when the hour hand moves 135°?
A boy runs 150 meters towards south from his house. He then turns left and runs 300 meters, again turns left and runs 350 meters. Now he turns right and runs 50 meters to reach the stadium. In which direction is the stadium from the boy’s house?
Six books are kept in a shelf one on top of the other. The Electronics book is just above Chemistry. Statistics is between Commerce and Environmental Science. Botany is between Electronics and Commerce. Which book is at the top?
Find the odd one among the following jumbled words: PWSORAR, GPΝΕΙΟ, CTPORAR, D JRABLNI
In a certain coding language, HE is coded as 418 and GO is coded as 240. How will SHE be coded?
- Neither S nor the person from Calcutta plays Cricket.
- Q plays either Football or Chess.
- P is from Bombay.
- P plays either Chess or Tennis.
- The person who plays Tennis is from Jaipur. Each of four persons P, Q, R, and S play one game out of four different games namely Chess, Tennis, Cricket, and Football not necessarily in the same order. These persons live in one of the four different cities of Bombay, Calcutta, Ahmedabad, and Jaipur not necessarily in the same order. Further information is provided. The person who lives in Ahmedabad plays which of the following sports?
Eight persons A, B, C, D, E, F, G, and H are sitting around a circle, facing the center. E sits fourth to the right of F and second to the left of A. D is not a neighbour of A or C. B sits third to the right of D. F never sits next to H. Which pair sits between G and A?
Ecology is related to Environment in the same way as Histology is related to?
Ram and Sham are real brothers. Sita and Gita are real sisters. Ram’s son is Gita’s real brother. How is Sham related to Sita?
The main statement is followed by four answers. Select the one that logically follows from the main statement:
‘If the game is interesting, then I play it.’ Which answer logically follows?
Which of the words cannot be formed from the letters of the word ‘CONSULTATION’?
Sham knows Ram’s birthday is between 14th and 21st October. Shalini knows it is between 15th and 20th October. They both know it falls on a Wednesday this year. If 2nd October is a Monday, when is Ram’s birthday?
Using the logic/pattern in the figure, find the number that can replace ‘?’.
11.3 Verbal Ability
Pick out the correct sentence in indirect narration of the following sentence:
She said to him, “Please wait here till I return”
Instructions [68-71]:
Read the passage and answer the questions that follow.
The night was cold and dark. There was a great storm, thunder and lightning also. Most men and animals, adequately protected, were asleep in their homes. They were warm and happy. But some monkeys were running through the forest. They had no warm home and there was cold. Worried monkeys looked everywhere for shelter. They had almost resigned themselves to be flattened out by the cold. Suddenly they saw some fireflies. Now, fireflies have a light in their tails, as all our children know. The monkeys took the light for fire. Poor things, they did not know any better. They said, ‘We will go near the fire and warm ourselves.’ There was a flock of birds in a tree nearby. One bird had a kind heart, and it felt sorry for the monkeys. It called out, ‘That is not fire, my friends! Those are fireflies. They give no heat. It is futile to run after them.’
Then monkeys got furious and their rage knew no bounds. They did not thank the bird. One monkey said rudely, ‘Is it so? We do not want unsolicited advice. I will teach you to say there is no fire.’ He jumped up the tree and pulled the poor bird out of its nest. ‘Alas!’ said the poor bird. ‘Why did I try to help a fool?’
From the passage, why were the monkeys running through the forest?
What did the monkeys mistake for fire?
The bird tried to help the monkeys because she:
What happens when you try to help a fool, according to the passage?
Pick out the correct sentence from the following sentences.
Pick out the part of the sentence which has an error. If there is no error, mark “No Error”. A) Writing the letter, B) is often cheaper, C) than telephoning
This question has a word followed by four choices. From the choices, identify the one which is opposite in meaning (antonym) for the main word and mark its number as your answer.
CONSIDERATE
Pick out the correct sentence in indirect narration of the following sentence:
He said, “Let us wait for the award.”
Pick out the correctly spelt word.
Fill in the blank with a suitable form of verb.
‘Time and tide ________ for none.’
Pick out the synonym of the word ‘reproach’.
Read the following sentence and choose the best definition for the underlined word by searching for context clues in the sentence.
The attorney wanted to expedite the process, because her client was becoming impatient.
Arrange the parts to make a meaningful sentence: P: around the town, Q: when I was young, R: delivering food to customers, S: shopkeepers would cycle
Pick out the correct sentence from the following sentences.
Arrange the parts to make a meaningful sentence: P: an extra person, Q: this card entitles, R: with you free, S: you to take
Fill in the blank with a suitable preposition: While going to Chandigarh, our car broke ____ in midway.
Give the meaning of the underlined idiom: He requested her to reconsider the decision but she put her foot down.
Pick the correct sentence in passive voice: He will finish the work in a fortnight.
This question gives a word followed by four choices. From the choices, select the most suitable synonym (word which means the same) for the main word and mark its number as the answer.
PALPABLE
Read the following paragraph and determine carefully the main idea. From the given four choices, select the one statement that best supports the author’s point:
Critical Reading is a demanding process. To read critically, you must slow down reading and with pencil in hand, perform specific operations on the text. Mark-up the text with your reactions, conclusions and questions. When you read, you become an active participant.
This paragraph best supports the statement that
Read the following sentence and choose the best definition for the underlined word by searching for context clues in the sentence.
Mr. Powers was so gullible that he believed even the most outlandish excuses of his insincere employees.
Fill in the blank with a suitable word.
There are more things in heaven and earth ________ are dreamt of in our philosophy.
Pick out the correct sentence in active voice of the following sentence:
Why was such a letter written by your father?
This question gives a word followed by four choices. From the choices, select the most suitable synonym (word which means the same) for the main word and mark its number as the answer.
FAMISHED
This question gives a word followed by four choices. From the choices, select the most suitable synonym (word which means the same) for the main word and mark its number as the answer.
OSTENSIBLE
Fill in the blank with a suitable preposition: He put ____ his departure for a week.
Fill in the blank with suitable form of verb.
Read ____________; nor to believe; but to weigh and consider.
Pick out the synonym of the word ‘Communicable.’
Pick out the correctly spelt word.
Pick out the correct sentence from the following sentences.
Read the following paragraph and determine carefully the main idea. From the four choices, select the one statement that best supports the author’s point:
Litigation is not always the only or best way to resolve conflicts. Mediation offers an alternative approach and it is the one that can be quite efficient and successful. Mediation can be faster, less expensive and can lead to create solutions not always possible in a court of law. Additionally, mediation focuses on mutually acceptable solutions, rather than on winning or losing.
This paragraph best supports the idea that
Pick out the correct sentence from the following sentences.
Fill in the blank with suitable form of verb.
A bird in the hand ____________ worth two in the bush.