120 original questions laid out like NPAT. Set a timer for 100 minutes, answer in order, and watch your score below. Solutions open under each question.
Quantitative and Numerical Ability40 questions · +1
Q1Rohtak / JIPMAT levelMCQ
In a survey of 124 people, 52 read paper A, 47 read B and 42 read C; 17 read A and B, 16 read B and C, 10 read C and A, and 5 read all three. How many read exactly two papers?
The cost price of 22 articles equals the selling price of 16 articles. Find the profit percentage.
Solution
Let each article cost Rs. 1. Selling 16 articles brings Rs. 22, so SP per article = 118.
Profit = 37.5%.
Answer: (C) 37.5%
Q19Rohtak / JIPMAT levelMCQ
If f(x) = 2x − 5, find f(f(1)).
Solution
f(1) = −3.
f(−3) = −11.
Answer: (A) −11
Q20NPAT / SET levelMCQ
The average of 12 consecutive numbers is 42.5. What is the largest of them?
Solution
For an evenly spaced list the average is the middle value; the numbers run from 37 to 48.
Largest = 42.5 + 1 × 112 = 48.
Answer: (D) 48
Q21Rohtak / JIPMAT levelMCQ
How many integers x satisfy |2x − 8| ≤ 4?
Solution
|2x − 8| ≤ 4 means −4 ≤ 2x − 8 ≤ 4.
So 2 ≤ x ≤ 6.
That range contains 5 integers.
Answer: (A) 5
Q22Rohtak / JIPMAT levelMCQ
How many even factors does 42 have?
Solution
42 = 2 × 3 × 7.
An even factor must contain at least one 2: 1 × (1 + 1) × (1 + 1) = 4.
Answer: (D) 4
Q23Rohtak / JIPMAT levelMCQ
In an election between two candidates, 20% of the votes were invalid. The winner got 70% of the valid votes and won by 1600 votes. How many votes were cast in all?
Solution
Winning margin = 70% − 30% = 40% of the valid votes.
Valid votes = 1600 ÷ 25 = 4000.
Total votes = 4000 ÷ 45 = 5000.
Answer: (D) 5000
Q24Rohtak / JIPMAT levelMCQ
4 chairs and 2 stools cost Rs. 126; 2 chairs and 4 stools cost Rs. 78. What is the cost of one chair and one stool together?
Solution
Let a chair cost x and a stool cost y: 4x + 2y = 126 and 2x + 4y = 78.
In a row of 56 children, Ravi is 11th from the left and Mohan is 9th from the right. How many children sit between them?
Solution
Mohan is 48th from the left.
Between = 48 − 11 − 1 = 36.
Answer: (A) 36
Q8Rohtak / JIPMAT levelMCQ
If the 9th of a month is a Wednesday, what day of the week is the 31st of that month?
Solution
31 − 9 = 22 days, which leaves 1 after removing whole weeks.
Wednesday + 1 = Thursday.
Answer: (C) Thursday
Q9Rohtak / JIPMAT levelMCQ
In a row, A is 11th from the left and B is 17th from the right. When they swap places, A becomes 22nd from the left. How many people are in the row?
Solution
After swapping, A is in B's old seat: 22nd from the left and 17th from the right.
Total = 22 + 17 − 1 = 38.
Answer: (A) 38
Q10Rohtak / JIPMAT levelMCQ
The calendar of the year 2000 will be the same as the calendar of which year?
Solution
A calendar repeats when the year starts on the same day and is of the same type (leap or ordinary).
Odd days from 2000 to 2027: 35, a multiple of 7, and 2028 is a leap year like 2000.
So the answer is 2028.
Answer: (C) 2028
Q11Rohtak / JIPMAT levelMCQ
What comes next in the series: 4, 5, 9, 18, 34, 59, ?
Solution
Differences are squares: 1, 4, 9, 16, 25.
Next = 59 + 36 = 95.
Answer: (C) 95
Q12NPAT / SET levelMCQ
WIND : VHMC :: LAB : ?
Solution
Each letter of WIND moves 1 place backward to give VHMC.
Doing the same to LAB: KZA.
Answer: (A) KZA
Q13Rohtak / JIPMAT levelMCQ
What comes next in the series: 9, 25, 49, 121, 169, 289, ?
Solution
Squares of consecutive primes.
The next one is 361.
Answer: (A) 361
Q14Rohtak / JIPMAT levelMCQ
How many times are the hands of a clock at right angles in a day?
Solution
In 12 hours the hands coincide 11 times and are opposite 11 times (not 12, because one meeting is shared between two hours), and they are at right angles 22 times.
A day has two 12-hour cycles.
So the answer is 44.
Answer: (A) 44
Q15Rohtak / JIPMAT levelMCQ
In a row of students, Arun is 15th from the left and 15th from the right. How many students are in the row?
Solution
Total = 15 + 15 − 1 = 29.
Answer: (D) 29
Q16Rohtak / JIPMAT levelMCQ
What comes next in the series: 18, 41, 20, 37, 22, 33, 24, ?
Solution
Two series alternate: 18, 20, 22, 24 (+2) and 41, 37, 33 (−4).
The next term continues the second: 33 − 4 = 29.
Answer: (B) 29
Q17NPAT / SET levelMCQ
Find the odd one out: IR, EW, LO, DW
Solution
In LO, IR, DW the two letters are opposites (positions add to 27).
In EW they add to 28.
Answer: (A) EW
Q18Rohtak / JIPMAT levelMCQ
Pointing to a woman in a photograph, Ritu said, "She is the mother of my brother's son." How is the person related to Ritu?
Solution
My brother's son's mother is my brother's wife, my sister-in-law.
So the person is Ritu's sister-in-law.
Answer: (B) sister-in-law
Q19NPAT / SET levelMCQ
What comes next in the series: V, T, R, P, N, ?
Solution
Each letter moves 2 places backward.
N − 2 = L.
Answer: (D) L
Q20Rohtak / JIPMAT levelMCQ
In a certain code, BRIDGE is written as IRBEGD. How is FOREST written in that code?
Solution
Split the word into two halves and reverse each: BRI | DGE → IRB | EGD.
So FOREST → ROFTSE.
Answer: (C) ROFTSE
Q21Rohtak / JIPMAT levelMCQ
Pointing to a woman in a photograph, Sneha said, "She is the wife of my father's only son." How is the person related to Sneha?
Solution
I am a girl, so my father's only son is my brother; his wife is my sister-in-law.
So the person is Sneha's sister-in-law.
Answer: (C) sister-in-law
Q22Rohtak / JIPMAT levelMCQ
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. V and T cannot both be selected.
2. If Q is selected, U must also be selected.
3. Q and P cannot both be selected.
4. If S is selected, V must also be selected.
Which of the following could be the team?
Solution
QRTU meets every condition.
PRTV breaks condition 1.
PRSU breaks condition 4.
PQST breaks condition 2, 3, 4.
Answer: (B) QRTU
Q23Rohtak / JIPMAT levelMCQ
Statements: Some teachers are doctors. Some teachers are singers. Some dancers are singers.
Conclusions:
I. Some singers are not doctors.
II. No dancers being singers is a possibility.
Solution
'Some singers are not doctors.' does not follow: it is possible that all singers are doctors.
'No dancers being singers is a possibility.' does not follow: the statements force 'some dancers are singers'.
Answer: (D) Neither I nor II follows
Q24Rohtak / JIPMAT levelMCQ
Statements: All pens are books. No books are tables. All tables are chairs.
Conclusions:
I. Some pens not being books is a possibility.
II. All tables are pens.
Solution
'Some pens not being books is a possibility.' does not follow: the statements force 'all pens are books'.
'All tables are pens.' does not follow: it is possible that some tables are not pens.
Answer: (D) Neither I nor II follows
Q25NPAT / SET levelMCQ
Find the odd one out: 9-100, 8-80, 4-24, 7-63
Solution
8-80, 4-24, 7-63 follow n² + 2n.
9-100 does not: n² + 2n for 9 gives 99.
Answer: (A) 9-100
Q26Rohtak / JIPMAT levelMCQ
E is the daughter of K. K is the wife of H. How is E related to H?
Solution
Start from H: K is H's wife. E is K's daughter.
So E is H's daughter.
Answer: (C) daughter
Q27NPAT / SET levelMCQ
5-25-125 :: 8-64-?
Solution
The pattern is n, n², n³: 5-25-125.
For 8: 8-64-512.
Answer: (A) 512
Q28NPAT / SET levelMCQ
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 50. Is x divisible by 4?
I. x > 40.
II. x leaves remainder 7 when divided by 8.
Solution
From I alone, x can be 41, 42, 43, 44, 45, 46, 47, 48, …: the answer is not fixed.
From II alone, x can be 7, 15, 23, 31, 39, 47: the answer is always No.
Answer: Statement II alone is sufficient, but statement I alone is not.
Answer: (B) Statement II alone is sufficient, but statement I alone is not
Q29Rohtak / JIPMAT levelMCQ
In a certain code, ORANGE is written as AROEGN. How is OFFICE written in that code?
Solution
Split the word into two halves and reverse each: ORA | NGE → ARO | EGN.
So OFFICE → FFOECI.
Answer: (D) FFOECI
Q30NPAT / SET levelMCQ
Which pair of letters completes the pattern? a m d a a m d a a m d a a _ _
Solution
The block 'amda' repeats.
So the next two letters are m d.
Answer: (B) m d
Q31Rohtak / JIPMAT levelMCQ
In a row of students, Rekha is 7th from the left and 19th from the right. How many students are in the row?
Solution
Total = 7 + 19 − 1 = 25.
Answer: (D) 25
Q32NPAT / SET levelMCQ
Which letter replaces the question mark: B, ?, F, H, J, L
Solution
The letters move 2 places each time.
? = B + 2 = D.
Answer: (A) D
Q33Rohtak / JIPMAT levelMCQ
Through how many degrees does the hour hand of a clock turn in 2 hours 20 minutes?
Solution
The hour hand turns 30° per hour, that is 0.5° per minute.
140 minutes × 0.5° = 70°.
Answer: (C) 70°
Q34NPAT / SET levelMCQ
DOG : 26 :: PAPER : ?
Solution
The number is the sum of the letter positions: 4 + 15 + 7 = 26.
For PAPER: 16 + 1 + 16 + 5 + 18 = 56.
Answer: (A) 56
Q35Rohtak / JIPMAT levelMCQ
What comes next in the series: 23, 29, 38, 50, 65, 83, ?
Solution
Differences: 6, 9, 12, 15, 18, increasing by 3.
Next = 83 + 21 = 104.
Answer: (C) 104
Q36NPAT / SET levelMCQ
Bank : Money :: Library : ?
Solution
Bank is related to Money in the same way as Library is related to Books.
Answer: (D) Books
Set 1
Revenue of five companies, 2019–2022 (in Rs. crore)
2019
2020
2021
2022
Kolhapur
110
115
85
95
Nagpur
230
280
255
245
Nashik
140
190
200
185
Pune
210
240
270
310
Aurangabad
300
330
320
320
Questions 37–40 are based on this table.
Q37Rohtak / JIPMAT levelMCQ
What was the average revenue per company in 2021?
Solution
Total in 2021 = 85 + 255 + 200 + 270 + 320 = 1130.
Average = 11305 = 226.
Answer: (C) 226
Q38Rohtak / JIPMAT levelMCQ
In how many of the four years was the revenue of Aurangabad more than that of Kolhapur?
Solution
Compare year by year: 2019: 300 vs 110; 2020: 330 vs 115; 2021: 320 vs 85; 2022: 320 vs 95.
Aurangabad is higher in 4 years.
Answer: (A) 4
Q39Rohtak / JIPMAT levelMCQ
Which one had the largest increase in revenue from 2021 to 2022?
By the time we reached the station, the train ____.
Solution
An action completed before another past action takes the past perfect.
Answer: (A) had left
Q6Rohtak / JIPMAT levelMCQ
Choose the grammatically correct sentence.
Solution
Reported questions use statement word order and no question mark.
Answer: (D) She asked me where I lived.
Q7NPAT / SET levelMCQ
Choose the one word for: a building where an aircraft is kept.
Solution
Hangar: a building where an aircraft is kept.
Answer: (A) Hangar
Q8Rohtak / JIPMAT levelMCQ
Fill in the blank:
The minister's speech was deliberately ____, leaving everyone unsure of the government's real position.
Solution
If listeners are unsure of the meaning, the speech was ambiguous (open to more than one reading).
Answer: (C) ambiguous
Q9IPMAT Indore levelMCQ
Arrange the sentences in the most logical order.
1. Their success came from searching millions of positions every second.
2. Computers proved that view only partly right when they began to beat world champions.
3. Strong human players, by contrast, look at only a few moves but judge them with remarkable insight.
4. Chess was once thought to be a test of pure calculation.
Solution
The order is 4-2-1-3:
4. Chess was once thought to be a test of pure calculation.
2. Computers proved that view only partly right when they began to beat world champions.
1. Their success came from searching millions of positions every second.
3. Strong human players, by contrast, look at only a few moves but judge them with remarkable insight.
The first sentence introduces the topic; each following sentence picks up a word or idea from the one before it.
Answer: (D) 4-2-1-3
Q10IPMAT Indore levelMCQ
Choose the word or phrase closest in meaning to EMULATE.
Solution
To emulate someone is to copy them in the hope of matching their success.
Answer: (A) Imitate
Q11Rohtak / JIPMAT levelMCQ
Find the part of the sentence that contains an error. If there is none, choose 'No error'.
(A) Unless you do not work hard, / (B) you will not / (C) clear the examination.
Solution
'Unless' already means 'if not': 'Unless you work hard'.
Answer: (A) Unless you do not work hard,
Q12IPMAT Indore levelMCQ
Arrange the sentences in the most logical order.
1. One reason is that they offer credit to regular customers, often without any paperwork.
2. Another is that they deliver to homes in the neighbourhood within minutes.
3. Personal trust, it seems, can compete with low prices.
4. Small shops in Indian towns have survived the arrival of large supermarkets better than many expected.
Solution
The order is 4-1-2-3:
4. Small shops in Indian towns have survived the arrival of large supermarkets better than many expected.
1. One reason is that they offer credit to regular customers, often without any paperwork.
2. Another is that they deliver to homes in the neighbourhood within minutes.
3. Personal trust, it seems, can compete with low prices.
The first sentence introduces the topic; each following sentence picks up a word or idea from the one before it.
Answer: (C) 4-1-2-3
Q13Rohtak / JIPMAT levelMCQ
Fill in the blank:
He tried to ____ the blame on his juniors, but the inquiry found him responsible.
Solution
One shifts blame onto others. One shirks a duty, not blame onto someone.
Answer: (D) shift
Q14Rohtak / JIPMAT levelMCQ
Fill in the blank:
Her ____ to detail made her the best editor in the office.
Solution
The fixed phrase is 'attention to detail'.
Answer: (B) attention
Q15NPAT / SET levelMCQ
Choose the one word for: something that cannot be corrected.
Solution
Incorrigible: something that cannot be corrected.
Answer: (C) Incorrigible
Q16IPMAT Indore levelMCQ
Arrange the sentences in the most logical order.
1. So a few minutes spent writing answers from memory may be worth an hour of rereading.
2. Many students believe that rereading their notes is the best way to revise.
3. Testing yourself, even when you get answers wrong, builds stronger memories than reading the same page again.
4. Research on memory suggests otherwise.
Solution
The order is 2-4-3-1:
2. Many students believe that rereading their notes is the best way to revise.
4. Research on memory suggests otherwise.
3. Testing yourself, even when you get answers wrong, builds stronger memories than reading the same page again.
1. So a few minutes spent writing answers from memory may be worth an hour of rereading.
The first sentence introduces the topic; each following sentence picks up a word or idea from the one before it.
Answer: (A) 2-4-3-1
Q17IPMAT Indore levelMCQ
Choose the word or phrase closest in meaning to VENERATE.
Solution
To venerate is to regard with great respect.
Answer: (B) Revere
Q18NPAT / SET levelMCQ
Choose the correct indirect (reported) form of:
The teacher said, "The earth goes round the sun."
Solution
Universal truths keep the present tense.
Answer: (D) The teacher said that the earth goes round the sun.
Q19NPAT / SET levelMCQ
Choose the one word for: a person who sells flowers.
Solution
Florist: a person who sells flowers.
Answer: (B) Florist
Q20Rohtak / JIPMAT levelMCQ
Find the part of the sentence that contains an error. If there is none, choose 'No error'.
(A) He has been working here / (B) since five years / (C) and is well liked.
Solution
A period of time takes 'for': 'for five years'.
Answer: (B) since five years
Q21Rohtak / JIPMAT levelMCQ
Choose the grammatically correct sentence.
Solution
'No sooner' takes inversion with 'had' and is followed by 'than'.
Answer: (B) No sooner had the bell rung than the students ran out.
Q22NPAT / SET levelMCQ
Choose the correct passive form of:
You must finish the work today.
Solution
Modal + 'be' + past participle.
Answer: (A) The work must be finished today.
Q23Rohtak / JIPMAT levelMCQ
Choose the grammatically correct sentence.
Solution
When 'each' qualifies subjects joined by 'and', the verb is singular.
Answer: (D) Each boy and each girl was given a prize.
Q24NPAT / SET levelMCQ
Choose the correct passive form of:
Everyone knows him.
Solution
'Know' usually takes 'to' in the passive: 'known to'.
Answer: (A) He is known to everyone.
Q25NPAT / SET levelMCQ
Choose the one word for: a person who believes that nothing can be known about God.
Solution
Agnostic: a person who believes that nothing can be known about God.
Answer: (A) Agnostic
Q26Rohtak / JIPMAT levelMCQ
Find the part of the sentence that contains an error. If there is none, choose 'No error'.
(A) He did not know / (B) where was the station / (C) so he asked a policeman.
Solution
In an indirect question the word order is statement order: 'where the station was'.
Answer: (B) where was the station
Q27NPAT / SET levelMCQ
Choose the correct indirect (reported) form of:
He said, "What a beautiful garden!"
Solution
An exclamation becomes 'exclaimed that' + a statement.
Answer: (A) He exclaimed that it was a very beautiful garden.
Q28Rohtak / JIPMAT levelMCQ
Choose the grammatically correct sentence.
Solution
'Insist' takes 'on' + -ing.
Answer: (B) He insisted on paying the bill.
Q29NPAT / SET levelMCQ
Choose the correct indirect (reported) form of:
She said, "I was reading a novel."
Solution
Past continuous becomes past perfect continuous.
Answer: (B) She said that she had been reading a novel.
Q30Rohtak / JIPMAT levelMCQ
Find the part of the sentence that contains an error. If there is none, choose 'No error'.
(A) She is senior than me / (B) by two years / (C) in the same department.
Solution
'Senior' takes 'to', not 'than': 'senior to me'.
Answer: (A) She is senior than me
Q31Rohtak / JIPMAT levelMCQ
Find the part of the sentence that contains an error. If there is none, choose 'No error'.
(A) The book which / (B) you gave me / (C) is very interesting.
Solution
The sentence is correct. No error.
Answer: (D) No error
Q32IPMAT Indore levelMCQ
Choose the word or phrase closest in meaning to IMPETUOUS.
Solution
An impetuous decision is made quickly and without thought.
Answer: (A) Rash
Q33IPMAT Indore levelMCQ
Choose the word or phrase closest in meaning to WARY.
Solution
Wary means watchful and careful about possible danger. Do not confuse it with weary (tired).
Answer: (A) Cautious
Q34Rohtak / JIPMAT levelMCQ
Choose the grammatically correct sentence.
Solution
'Such a' + adjective + singular noun; 'seen' is the past participle.
Answer: (D) I have never seen such a beautiful sunset.
Q35NPAT / SET levelMCQ
Choose the correct passive form of:
Did she solve the puzzle?
Solution
A 'did' question becomes 'Was/Were + object + past participle'.
Answer: (D) Was the puzzle solved by her?
Passage 1: The return of the bicycle
In many cities, the bicycle is enjoying an unexpected revival. A generation ago it was seen as the vehicle of those who could not afford anything better. Today, office workers in some cities cycle to work by choice, and governments are building separate lanes to keep them safe.
The reasons are partly practical. In congested city centres, a bicycle can be faster than a car for short trips, and it needs no fuel and little parking space. Health is another reason: regular cycling builds fitness without the need for a gym. Electric bicycles, which give the rider a gentle push, have made longer or hillier journeys possible for people who would not otherwise try them.
Yet the revival is uneven. Where roads are designed only for cars, cycling remains dangerous, and few people take it up regardless of its benefits. Experience from several countries suggests that the decisive factor is not enthusiasm but infrastructure: when safe, connected lanes are built, cyclists appear; when they are not, even keen riders give up.
Questions 36–40 are based on this passage.
Q36IPMAT Indore levelMCQ
According to the passage, what is the decisive factor in whether people cycle?
Solution
The last paragraph says the decisive factor is infrastructure, not enthusiasm.
Answer: (A) Safe, connected cycling lanes
Q37IPMAT Indore levelMCQ
How was the bicycle seen a generation ago, according to the passage?
Solution
Stated in the first paragraph.
Answer: (A) As the vehicle of those who could not afford better
Q38IPMAT Indore levelMCQ
Which advantage of the bicycle is NOT mentioned?
Solution
Carrying heavy goods is not mentioned.
Answer: (A) It is useful for carrying heavy goods.
Q39IPMAT Indore levelMCQ
What role do electric bicycles play, according to the passage?
Solution
Stated in the second paragraph.
Answer: (A) They make longer or hillier trips possible for more people.
Q40IPMAT Indore levelMCQ
The word 'revival' in the first paragraph is closest in meaning to
Solution
A revival is a return to popularity.
Answer: (D) comeback
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.