# IIFT 2023 Question Paper | IIFT Quants

###### IIFT Quantitative Aptitude | IIFT 2023 Question Paper

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2023 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

1. #### IIFT 2023 Question Paper QA

Determine what day of the week was on 6th July, 2003 if 10 th July, 2010 was a Thursday?

1. Monday
2. Wednesday
3. Friday
4. Sunday

1. 8
2. 4
3. 6
4. 1

14. #### IIFT 2023 Question Paper QA

An $n$-digit number is a positive number with exactly $n$ digits. Nine hundred distinct $n$-digit numbers are to be formed using digits $2,3,4,5,7$ such that each $n$-digit number has the

(i) first and last digits are same
(ii) first and third are prime numbers
(iii) second should be greater than or equal to 4 .

What should be the minimum value of $n$ such that the above is possible?

1. 5
2. 6
3. 7
4. 8

15. #### IIFT 2023 Question Paper QA

Pot "A" contains 5 blue and 10 green balls and another pot "B" contains 7 blue and 2 green balls. A biased dice with six sides numbered 1 to 6 is rolled. The probability of each odd outcome is same and the probability of each even outcome is same. But the probability of an odd outcome is twice than the probability of an even outcome. If the face 1 or 2 or 3 comes up, a ball is taken from the pot "A" else a ball is taken from the pot "B". Find the probability of drawing a green ball.

1. $38 / 81$
2. $33 / 81$
3. $28 / 81$
4. $25 / 81$

16. #### IIFT 2023 Question Paper QA

In 1920 , the "Sahitya Shakti" society was established by 500 members who read Premchand. In 1921 , due to internal conflict, it removed all 200 members who also read Shakespeare. In 1922 , further the members who also read Tolstoy numbering 100 left the society. In 1923 , the society added only those ex-members who read both Shakespeare and Premchand but not Tolstoy after which the Sahitya Shakti society consisted of 350 members. Which of the following is true?

1. 200 original members read both Premchand and Tolstoy
2. 50 original members read together Premchand and Shakespeare and Tolstoy
3. 300 original members read both Premchand and Shakespeare but not Tolstoy
4. 150 original members read both Shakespeare and Tolstoy

17. #### IIFT 2023 Question Paper QA

It is given that $P ( A $cup B ) < 3 / 4 , $mathrm { P }$ A$> 1 / 8 , P ( A / B ) < 1 / 2$. Which of the following is true?

1. $P ( A $cap B ) + P$ A ) > 7 / 8$
2. $P ( A $cap B ) + P$ A ) > 3 / 4$
3. $P ( A $cap B ) < 5 / 8$ 4. $P$ A $cap B ) > 7 / 8$ 18. #### IIFT 2023 Question Paper QA Find $$tan ^ { 4 } \alpha + \tan ^ { 4 } \gamma$ using the information given below: $\tan$ $theta - \gamma$ = $frac { 1 } { \sqrt { 2 } } , \quad \tan \theta \tan \gamma = \tan ^ { 2 } \alpha$ 1. $\frac { \tan ^ { 2 } \gamma } { 2 } \left[ \left$ $tan ^ { 2 } \alpha + 3 \right$ ^ { 2 } - 8 $right]$ 2. $\frac { \tan ^ { 2 } \gamma } { 2 } \left[ \left$ $tan ^ { 2 } \alpha - 3 \right$ ^ { 2 } + 8 $right]$ 3. $\frac { \tan ^ { 2 } \gamma } { 4 } \left[ \left$ 3 $tan ^ { 2 } \alpha + 1 \right$ ^ { 2 } - 4 $right]$ 4. $\frac { \tan ^ { 2 } \gamma } { 4 } \left[ \left$ 3 $tan ^ { 2 } \alpha - 3 \right$ ^ { 2 } + 4 $right]$ 19. #### IIFT 2023 Question Paper QA A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60 degrees. When he retires ' $y$ ' metre from the bank perpendicular to the tree, he finds the angle to be 45 degrees. When he further retires $15 - 5 \sqrt { 3 }$ metre perpendicular to the tree, he finds the angle to be 30 degrees. Find the height of the tree in metres? 1. $10 \sqrt { 3 }$ 2. $15 + \sqrt { 3 }$ 3. $5 \sqrt { 3 }$ 4. $15 - \sqrt { 3 }$ 20. #### IIFT 2023 Question Paper QA Let $a - d , a , a + d , a + 2 d$ be four terms of an arithmetic progression with integer entries and $a , a + d , a + 2 d , a + 3 d$ be another four terms of the same arithmetic progression. Let $x = a$ a - d$ ( a + d ) ( a + 2 d ) + d ^ { 4 }$ and $y = a ( a + d ) ( a + 2 d ) ( a + 3 d ) + d ^ { 4 }$. Then $x + y$ is equal to ?

1. $$left$ a ^ { 2 } - d ^ { 2 } + 5 a d $right) ^ { 2 } + $left$ 2 a ^ { 2 } - 3 a d $right$ ^ { 2 }$ 2. $$left$ a ^ { 2 } - 2 d ^ { 2 } + 2 a d $right$ ^ { 2 } + $left$ 2 a ^ { 2 } - $mathrm { d } ^ { 2 } - a d \right$ ^ { 2 }$ 3. $$left$ a ^ { 2 } + 3 d ^ { 2 } - a d $right$ ^ { 2 } + $left$ a ^ { 2 } + d ^ { 2 } $right$ ^ { 2 }$ 4. $$left$ a ^ { 2 } + d ^ { 2 } + 3 a d $right$ ^ { 2 } + $left$ a ^ { 2 } - d ^ { 2 } + a d $right$ ^ { 2 }$ 21. #### IIFT 2023 Question Paper QA A green liquid is mixed with a blue liquid in the proportion $4 : 5$ and the mixture is sold at Rs. 20 per litre at a $20 $%$ profit. If the green liquid costs Rs. 4 more per litre than the blue liquid, what does the green liquid cost per litre approximately? 1. Rs. $16.33$ 2. Rs. $18.88$ 3. Rs. $17.66$ 4. Rs. $19.22$ 22. #### IIFT 2023 Question Paper QA Two trains of equal length are running on parallel lines in the same direction at $54 \mathrm {~km} /$ hour and $40 \mathrm {~km} /$ hour. The slower train started first and then the faster train started after some time. The faster train passes the length of the slower train in 36 seconds completely. The length of each train is? 1. $50 \mathrm {~m}$ 2. $70 \mathrm {~m}$ 3. $80 \mathrm {~m}$ 4. $90 \mathrm {~m}$ 23. #### IIFT 2023 Question Paper QA $\mathrm { AB }$ and $\mathrm { CD }$ are two chords intersecting at point $\mathrm { E }$. Ram started from point A with a speed of $2 \mathrm {~km} / \mathrm { hr }$. After reaching point $\mathrm { E }$, Ram moved to point $\mathrm { D }$ with same speed and covered ED in one-fifth of the time taken for AE. Similarly, Shyam moved from point $\mathrm { C }$ to point $\mathrm { B }$ through point $\mathrm { E }$. If Shyam takes in total 18 hours to cover the whole distance from $\mathrm { C }$ to $\mathrm { B }$ through point $\mathrm { E }$ with same speed, what is the time Shyam took to cover BE? 1. $1.5$ hours 2. 2 hours 3. 3 hours 4. $4.5$ hours 24. #### IIFT 2023 Question Paper QA Find the area of the shaded region. Given that $\mathrm { ABCD }$ is a square with side length ' $b$ ' units and $\mathrm { E }$ is the midpoint of $\mathrm { AB }$. 1. $\frac { \pi b ^ { 2 } } { 4 ^ { 2 } } [ 36 - 16 \sqrt { 3 } ]$ 2. $\frac { \pi b ^ { 2 } } { 4 ^ { 2 } } [ 34 + 14 \sqrt { 5 } ]$ 3. $\frac { \pi b ^ { 2 } } { 4 ^ { 2 } } [ 34 - 14 \sqrt { 5 } ]$ 4. $\frac { \pi b ^ { 2 } } { 4 ^ { 2 } } [ 36 + 16 \sqrt { 3 } ]$ 25. #### IIFT 2023 Question Paper QA A large solid iron sphere of diameter $10 \mathrm {~m}$ is melted and $2 / 5$ of the melted amount is recast into several small spheres of diameter $2 \mathrm {~m}$. What is the ratio of the total surface area of the smaller spheres and the surface area of the large sphere? 1. $1 : 1$ 2. 2:1 3. $3 : 1$ 4. $4 : 1$ ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2023 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91$ 99626 48484 / 94459 38484
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