MAH-CET 2024(Slot 1): Past Year Question Paper with Solutions | Mock Test Series for MAH-CET - CAT PDF Download

 Page 1


Logical Reasoning 
 
1. There is a lot of interest in the fir st fiv e ranks 
for Class XI students. One student guessed the 
rank order as Ankita, Bhagyashree, Chanchal, 
Devroopa and Esha. Later upon announcement of 
the results, it was found that not only did he get 
each student out off h er true positi on, none of 
the students in his ranking correctly followed her 
immediate predecessor. Another student guessed 
Devroopa, Ankita, Esha, Chanchal and 
Bhagyashree. Even his guess was wrong. It was 
found that he had got two positi ons correct, and 
two students in his ranking correctly followed 
their immediate predecessors. 
Which of the following is true about the correct 
rank order? 
a) Devroopa got the fir st positi on 
b) Esha got the fourth positio n 
c) Bhagyashree got the fourth positi on 
d) Chanchal got the second positi on 
e) Ankita got the third positio n 
 
2. Two ants A and B start from a point P on a 
circle at the same ti me, with A moving clock-wise 
and B moving anti -clockwise. They meet for the 
fir st ti me at 10:00 am when A has covered 60% of 
the track. If A returns to P at 10:12 am, then B 
returns to P at: 
a) 10:49 AM 
b) 10:23 AM 
c) 10:27 AM 
d) 10:39 AM 
e) 10:45 AM   
 
3. If the outer border of width 1 cm of a cube 
with side 5 cm is painted green on each side and 
remaining space enclosed by this 1 cm path is 
painted black. This cube then gets cut into 125 
smaller cubes of each side 1 cm. If the smaller 
cube so obtained is separated, then how many 
such smaller cubes shall have one face coloured 
green and the adjacent face coloured black ? 
a)16 
b)2 
c)0 
d)8 
e)1 
 
4. Complete the series given below: 
149, 162536, 496481, 100121144, ? 
a) 16819225 
b) 169196200 
c) 144289324 
d) 169169225 
e) 169196225 
 
5. Questi on 
How many 3-digit positi ve integers, with digits a, 
b and c exist such that a < band c<b? 
Assume that a is in hundred's place, b is in ten's 
place, c is in unit's place and that a is a non-zero 
digit. 
a)240 
b)256 
c)648 
d)302 
e)364 
 
6. Questi on 
A company Off ers Five types of successive 
discounts, specific ally 
Off er 1: 5% and 30%; 
Off er II: 10% and 25%; 
Off er III: 40% and 5%; 
Off er IV: 20% and 15%; & 
Off er V: 10% and 10%. 
Determine, which Off er is the best for a 
customer? 
a)off er I 
b)off er II 
c)off er III 
d)off er IV 
e)off er V 
 
 
7. Questi on 
70% of the students in a school play football, 
75% play cricket, 80% play basketball and 85% 
play carrom. 
The minimum percentage of students who play 
all four games is: 
a)10 
b)20 
c)66.66 
MAH-CET - 2024
Slot-1
Page 2


Logical Reasoning 
 
1. There is a lot of interest in the fir st fiv e ranks 
for Class XI students. One student guessed the 
rank order as Ankita, Bhagyashree, Chanchal, 
Devroopa and Esha. Later upon announcement of 
the results, it was found that not only did he get 
each student out off h er true positi on, none of 
the students in his ranking correctly followed her 
immediate predecessor. Another student guessed 
Devroopa, Ankita, Esha, Chanchal and 
Bhagyashree. Even his guess was wrong. It was 
found that he had got two positi ons correct, and 
two students in his ranking correctly followed 
their immediate predecessors. 
Which of the following is true about the correct 
rank order? 
a) Devroopa got the fir st positi on 
b) Esha got the fourth positio n 
c) Bhagyashree got the fourth positi on 
d) Chanchal got the second positi on 
e) Ankita got the third positio n 
 
2. Two ants A and B start from a point P on a 
circle at the same ti me, with A moving clock-wise 
and B moving anti -clockwise. They meet for the 
fir st ti me at 10:00 am when A has covered 60% of 
the track. If A returns to P at 10:12 am, then B 
returns to P at: 
a) 10:49 AM 
b) 10:23 AM 
c) 10:27 AM 
d) 10:39 AM 
e) 10:45 AM   
 
3. If the outer border of width 1 cm of a cube 
with side 5 cm is painted green on each side and 
remaining space enclosed by this 1 cm path is 
painted black. This cube then gets cut into 125 
smaller cubes of each side 1 cm. If the smaller 
cube so obtained is separated, then how many 
such smaller cubes shall have one face coloured 
green and the adjacent face coloured black ? 
a)16 
b)2 
c)0 
d)8 
e)1 
 
4. Complete the series given below: 
149, 162536, 496481, 100121144, ? 
a) 16819225 
b) 169196200 
c) 144289324 
d) 169169225 
e) 169196225 
 
5. Questi on 
How many 3-digit positi ve integers, with digits a, 
b and c exist such that a < band c<b? 
Assume that a is in hundred's place, b is in ten's 
place, c is in unit's place and that a is a non-zero 
digit. 
a)240 
b)256 
c)648 
d)302 
e)364 
 
6. Questi on 
A company Off ers Five types of successive 
discounts, specific ally 
Off er 1: 5% and 30%; 
Off er II: 10% and 25%; 
Off er III: 40% and 5%; 
Off er IV: 20% and 15%; & 
Off er V: 10% and 10%. 
Determine, which Off er is the best for a 
customer? 
a)off er I 
b)off er II 
c)off er III 
d)off er IV 
e)off er V 
 
 
7. Questi on 
70% of the students in a school play football, 
75% play cricket, 80% play basketball and 85% 
play carrom. 
The minimum percentage of students who play 
all four games is: 
a)10 
b)20 
c)66.66 
MAH-CET - 2024
Slot-1 d)15 
e)33.33 
 
 
 
8. Question 
Leaving home at the same time, A mal reaches 
office at 10:15 am if he travels at 8 km/hr, and at 
9:40 am if he travels at 15 km/hr. 
Leaving home at 9:10 am, at what speed, in 
km/hr, must he travel so as to reach office exactly 
at 10 am ? 
a)14 
b)12 
c)13 
d)15 
e)11 
 
 
 
9. Question 
If India celebrated its Republic Day on a 
Thursday in the year 1989, then on which day of 
the week, would the Indians be celebrating their 
Independence Day in the year 1993? 
 
a)Tuesday  
b)Friday 
c)Monday 
d)Sunday 
e)Thursday 
 
 
10. Question 
Two unbiased dice D1 and D2 are rolled and the 
number appearing on the uppermost face is 
noted as S1 and S2 respectively. 
What is the probability that (S1 + S2) > 10? 
a)7/36 
b)1/18 
c)5/36 
d)1/6 
e)1/12 
 
 
 
 
11. Question 
If: 
A + B = A is the son of A; 
A*BA is the wife of B 
A# B = A is the father of B 
A@BA is the brother of B 
Then: 
P@L+M#N*Q 
shall mean that: 
a)N is the sister of L 
b)L is the sister of N 
c)Q is the wife of N 
d)N is the brother L 
e)Q is the Brother of N 
 
 
 
12. Question 
The salaries of Ajay, Abhay and Ashay were in 
the ratio 6:5.7 in 2018, and in the ratio 3:4:3 in 
2023. If Ajay's salary increased by 25% during 
2018 - 2023, then the percentage increase in 
Ashay's salary during this period is closest to: 
a)6% 
b)7% 
c)5% 
d)9% 
e)4% 
 
 
 
13. Question 
The six faces of a wooden cube of side 6 cm are 
labelled A, B, C, D, E and F respectively. Three of 
these faces A, B, and C are each adjacent to the 
other two, and are painted red. The other three 
faces are not painted. Then, the wooden cube is 
neatly cut into 216 little cubes of equal size. How 
many of the little cubes have no sides painted at 
all? 
a)96 
b)125 
c)108 
d)222 
e)16 
 
14. Question 
Here are some words translated from an 
artificial language: 
Page 3


Logical Reasoning 
 
1. There is a lot of interest in the fir st fiv e ranks 
for Class XI students. One student guessed the 
rank order as Ankita, Bhagyashree, Chanchal, 
Devroopa and Esha. Later upon announcement of 
the results, it was found that not only did he get 
each student out off h er true positi on, none of 
the students in his ranking correctly followed her 
immediate predecessor. Another student guessed 
Devroopa, Ankita, Esha, Chanchal and 
Bhagyashree. Even his guess was wrong. It was 
found that he had got two positi ons correct, and 
two students in his ranking correctly followed 
their immediate predecessors. 
Which of the following is true about the correct 
rank order? 
a) Devroopa got the fir st positi on 
b) Esha got the fourth positio n 
c) Bhagyashree got the fourth positi on 
d) Chanchal got the second positi on 
e) Ankita got the third positio n 
 
2. Two ants A and B start from a point P on a 
circle at the same ti me, with A moving clock-wise 
and B moving anti -clockwise. They meet for the 
fir st ti me at 10:00 am when A has covered 60% of 
the track. If A returns to P at 10:12 am, then B 
returns to P at: 
a) 10:49 AM 
b) 10:23 AM 
c) 10:27 AM 
d) 10:39 AM 
e) 10:45 AM   
 
3. If the outer border of width 1 cm of a cube 
with side 5 cm is painted green on each side and 
remaining space enclosed by this 1 cm path is 
painted black. This cube then gets cut into 125 
smaller cubes of each side 1 cm. If the smaller 
cube so obtained is separated, then how many 
such smaller cubes shall have one face coloured 
green and the adjacent face coloured black ? 
a)16 
b)2 
c)0 
d)8 
e)1 
 
4. Complete the series given below: 
149, 162536, 496481, 100121144, ? 
a) 16819225 
b) 169196200 
c) 144289324 
d) 169169225 
e) 169196225 
 
5. Questi on 
How many 3-digit positi ve integers, with digits a, 
b and c exist such that a < band c<b? 
Assume that a is in hundred's place, b is in ten's 
place, c is in unit's place and that a is a non-zero 
digit. 
a)240 
b)256 
c)648 
d)302 
e)364 
 
6. Questi on 
A company Off ers Five types of successive 
discounts, specific ally 
Off er 1: 5% and 30%; 
Off er II: 10% and 25%; 
Off er III: 40% and 5%; 
Off er IV: 20% and 15%; & 
Off er V: 10% and 10%. 
Determine, which Off er is the best for a 
customer? 
a)off er I 
b)off er II 
c)off er III 
d)off er IV 
e)off er V 
 
 
7. Questi on 
70% of the students in a school play football, 
75% play cricket, 80% play basketball and 85% 
play carrom. 
The minimum percentage of students who play 
all four games is: 
a)10 
b)20 
c)66.66 
MAH-CET - 2024
Slot-1 d)15 
e)33.33 
 
 
 
8. Question 
Leaving home at the same time, A mal reaches 
office at 10:15 am if he travels at 8 km/hr, and at 
9:40 am if he travels at 15 km/hr. 
Leaving home at 9:10 am, at what speed, in 
km/hr, must he travel so as to reach office exactly 
at 10 am ? 
a)14 
b)12 
c)13 
d)15 
e)11 
 
 
 
9. Question 
If India celebrated its Republic Day on a 
Thursday in the year 1989, then on which day of 
the week, would the Indians be celebrating their 
Independence Day in the year 1993? 
 
a)Tuesday  
b)Friday 
c)Monday 
d)Sunday 
e)Thursday 
 
 
10. Question 
Two unbiased dice D1 and D2 are rolled and the 
number appearing on the uppermost face is 
noted as S1 and S2 respectively. 
What is the probability that (S1 + S2) > 10? 
a)7/36 
b)1/18 
c)5/36 
d)1/6 
e)1/12 
 
 
 
 
11. Question 
If: 
A + B = A is the son of A; 
A*BA is the wife of B 
A# B = A is the father of B 
A@BA is the brother of B 
Then: 
P@L+M#N*Q 
shall mean that: 
a)N is the sister of L 
b)L is the sister of N 
c)Q is the wife of N 
d)N is the brother L 
e)Q is the Brother of N 
 
 
 
12. Question 
The salaries of Ajay, Abhay and Ashay were in 
the ratio 6:5.7 in 2018, and in the ratio 3:4:3 in 
2023. If Ajay's salary increased by 25% during 
2018 - 2023, then the percentage increase in 
Ashay's salary during this period is closest to: 
a)6% 
b)7% 
c)5% 
d)9% 
e)4% 
 
 
 
13. Question 
The six faces of a wooden cube of side 6 cm are 
labelled A, B, C, D, E and F respectively. Three of 
these faces A, B, and C are each adjacent to the 
other two, and are painted red. The other three 
faces are not painted. Then, the wooden cube is 
neatly cut into 216 little cubes of equal size. How 
many of the little cubes have no sides painted at 
all? 
a)96 
b)125 
c)108 
d)222 
e)16 
 
14. Question 
Here are some words translated from an 
artificial language: 
gorbiflur means fan belt 
pixngorbl means ceiling fan 
arthtusl means tile roof 
Which word could mean "ceiling til e" in the 
given language 
a) pixnarth 
b) gorbigorbl 
c) arthflur 
d) gorbitusl 
e) flurgorbl 
 
15. Question 
Dutta is planning to invest on annual Simple 
Interest plans, a sum of Rs. 15 Lakhs for the 
higher education of his two daughters, Deepali 
and Neena. Neena is 15 years and Deepali is 12 
years old. Datta wishes that when Neena and 
Deepali turn 21 years old, they get Rs. 21 Lakhs 
each. 
What should be the rate of interest at which 
Datta should invest the sum for Neena and 
Deepali respectively? 
a) 20% and 28% 
b) 10% and 28% 
c) 7% and 25% 
d) 18% and 28% 
e) 20% and 30% 
 
16. Question 
Five Scores in a classroom are broken into Five 
respective different ranges: 
51-60, 
61-70, 
71-80, 
81-90 and 
91-100. 
The number of students who have scored in 
each range is given below. 
51 to 60-3 students, 
61 to 70 - 8 students, 
71 to 80-7 students, 
81 to 90-4 students, and 
91 o 100-3 students. 
Furthermore, we know that the number of 
students who scored 76 or more is atleast one 
more than those who scored below 75. What is 
the minimum possible average overall of this 
class? 
a)74.2 
b)75 
c)69.2 
d)70.6 
e)72.6 
 
17. Question 
Manda walks to the market and comes back in 
an auto. It takes her 90 minutes to make the 
round trip. If she takes an auto both ways it takes 
her 30 minutes. On a Sunday, she decides to walk 
both ways. How long would it take her ? 
a)150 minutes 
b)120 minutes 
c)100 minutes 
d)140 minutes 
e)130 minutes 
 
18. Question 
At any point of time, let x be the smaller of the 
two angles made by the hour hand with the 
minute hand on an analogue clock (in degrees). 
During the time interval from 2:30 p.m. to 3:00 
p.m. Determine, what is the minimum possible 
value of x in the given case ? 
 
a)90 
b)300 
c)45 
d)180 
e)75 
 
19. Question 
Two tanks of similar volume are full of a mixture 
of oil and water. In the first, the ratio of oil and 
water is 5:8 and in the second, it is 
7:19. 
If both these tanks are poured in a larger tank, 
what would be the resultant ratio of oil and 
water? 
a)17:53 
b)17:35 
c)151:304 
d)17:52 
e)1:3 
 
20. Question 
Page 4


Logical Reasoning 
 
1. There is a lot of interest in the fir st fiv e ranks 
for Class XI students. One student guessed the 
rank order as Ankita, Bhagyashree, Chanchal, 
Devroopa and Esha. Later upon announcement of 
the results, it was found that not only did he get 
each student out off h er true positi on, none of 
the students in his ranking correctly followed her 
immediate predecessor. Another student guessed 
Devroopa, Ankita, Esha, Chanchal and 
Bhagyashree. Even his guess was wrong. It was 
found that he had got two positi ons correct, and 
two students in his ranking correctly followed 
their immediate predecessors. 
Which of the following is true about the correct 
rank order? 
a) Devroopa got the fir st positi on 
b) Esha got the fourth positio n 
c) Bhagyashree got the fourth positi on 
d) Chanchal got the second positi on 
e) Ankita got the third positio n 
 
2. Two ants A and B start from a point P on a 
circle at the same ti me, with A moving clock-wise 
and B moving anti -clockwise. They meet for the 
fir st ti me at 10:00 am when A has covered 60% of 
the track. If A returns to P at 10:12 am, then B 
returns to P at: 
a) 10:49 AM 
b) 10:23 AM 
c) 10:27 AM 
d) 10:39 AM 
e) 10:45 AM   
 
3. If the outer border of width 1 cm of a cube 
with side 5 cm is painted green on each side and 
remaining space enclosed by this 1 cm path is 
painted black. This cube then gets cut into 125 
smaller cubes of each side 1 cm. If the smaller 
cube so obtained is separated, then how many 
such smaller cubes shall have one face coloured 
green and the adjacent face coloured black ? 
a)16 
b)2 
c)0 
d)8 
e)1 
 
4. Complete the series given below: 
149, 162536, 496481, 100121144, ? 
a) 16819225 
b) 169196200 
c) 144289324 
d) 169169225 
e) 169196225 
 
5. Questi on 
How many 3-digit positi ve integers, with digits a, 
b and c exist such that a < band c<b? 
Assume that a is in hundred's place, b is in ten's 
place, c is in unit's place and that a is a non-zero 
digit. 
a)240 
b)256 
c)648 
d)302 
e)364 
 
6. Questi on 
A company Off ers Five types of successive 
discounts, specific ally 
Off er 1: 5% and 30%; 
Off er II: 10% and 25%; 
Off er III: 40% and 5%; 
Off er IV: 20% and 15%; & 
Off er V: 10% and 10%. 
Determine, which Off er is the best for a 
customer? 
a)off er I 
b)off er II 
c)off er III 
d)off er IV 
e)off er V 
 
 
7. Questi on 
70% of the students in a school play football, 
75% play cricket, 80% play basketball and 85% 
play carrom. 
The minimum percentage of students who play 
all four games is: 
a)10 
b)20 
c)66.66 
MAH-CET - 2024
Slot-1 d)15 
e)33.33 
 
 
 
8. Question 
Leaving home at the same time, A mal reaches 
office at 10:15 am if he travels at 8 km/hr, and at 
9:40 am if he travels at 15 km/hr. 
Leaving home at 9:10 am, at what speed, in 
km/hr, must he travel so as to reach office exactly 
at 10 am ? 
a)14 
b)12 
c)13 
d)15 
e)11 
 
 
 
9. Question 
If India celebrated its Republic Day on a 
Thursday in the year 1989, then on which day of 
the week, would the Indians be celebrating their 
Independence Day in the year 1993? 
 
a)Tuesday  
b)Friday 
c)Monday 
d)Sunday 
e)Thursday 
 
 
10. Question 
Two unbiased dice D1 and D2 are rolled and the 
number appearing on the uppermost face is 
noted as S1 and S2 respectively. 
What is the probability that (S1 + S2) > 10? 
a)7/36 
b)1/18 
c)5/36 
d)1/6 
e)1/12 
 
 
 
 
11. Question 
If: 
A + B = A is the son of A; 
A*BA is the wife of B 
A# B = A is the father of B 
A@BA is the brother of B 
Then: 
P@L+M#N*Q 
shall mean that: 
a)N is the sister of L 
b)L is the sister of N 
c)Q is the wife of N 
d)N is the brother L 
e)Q is the Brother of N 
 
 
 
12. Question 
The salaries of Ajay, Abhay and Ashay were in 
the ratio 6:5.7 in 2018, and in the ratio 3:4:3 in 
2023. If Ajay's salary increased by 25% during 
2018 - 2023, then the percentage increase in 
Ashay's salary during this period is closest to: 
a)6% 
b)7% 
c)5% 
d)9% 
e)4% 
 
 
 
13. Question 
The six faces of a wooden cube of side 6 cm are 
labelled A, B, C, D, E and F respectively. Three of 
these faces A, B, and C are each adjacent to the 
other two, and are painted red. The other three 
faces are not painted. Then, the wooden cube is 
neatly cut into 216 little cubes of equal size. How 
many of the little cubes have no sides painted at 
all? 
a)96 
b)125 
c)108 
d)222 
e)16 
 
14. Question 
Here are some words translated from an 
artificial language: 
gorbiflur means fan belt 
pixngorbl means ceiling fan 
arthtusl means tile roof 
Which word could mean "ceiling til e" in the 
given language 
a) pixnarth 
b) gorbigorbl 
c) arthflur 
d) gorbitusl 
e) flurgorbl 
 
15. Question 
Dutta is planning to invest on annual Simple 
Interest plans, a sum of Rs. 15 Lakhs for the 
higher education of his two daughters, Deepali 
and Neena. Neena is 15 years and Deepali is 12 
years old. Datta wishes that when Neena and 
Deepali turn 21 years old, they get Rs. 21 Lakhs 
each. 
What should be the rate of interest at which 
Datta should invest the sum for Neena and 
Deepali respectively? 
a) 20% and 28% 
b) 10% and 28% 
c) 7% and 25% 
d) 18% and 28% 
e) 20% and 30% 
 
16. Question 
Five Scores in a classroom are broken into Five 
respective different ranges: 
51-60, 
61-70, 
71-80, 
81-90 and 
91-100. 
The number of students who have scored in 
each range is given below. 
51 to 60-3 students, 
61 to 70 - 8 students, 
71 to 80-7 students, 
81 to 90-4 students, and 
91 o 100-3 students. 
Furthermore, we know that the number of 
students who scored 76 or more is atleast one 
more than those who scored below 75. What is 
the minimum possible average overall of this 
class? 
a)74.2 
b)75 
c)69.2 
d)70.6 
e)72.6 
 
17. Question 
Manda walks to the market and comes back in 
an auto. It takes her 90 minutes to make the 
round trip. If she takes an auto both ways it takes 
her 30 minutes. On a Sunday, she decides to walk 
both ways. How long would it take her ? 
a)150 minutes 
b)120 minutes 
c)100 minutes 
d)140 minutes 
e)130 minutes 
 
18. Question 
At any point of time, let x be the smaller of the 
two angles made by the hour hand with the 
minute hand on an analogue clock (in degrees). 
During the time interval from 2:30 p.m. to 3:00 
p.m. Determine, what is the minimum possible 
value of x in the given case ? 
 
a)90 
b)300 
c)45 
d)180 
e)75 
 
19. Question 
Two tanks of similar volume are full of a mixture 
of oil and water. In the first, the ratio of oil and 
water is 5:8 and in the second, it is 
7:19. 
If both these tanks are poured in a larger tank, 
what would be the resultant ratio of oil and 
water? 
a)17:53 
b)17:35 
c)151:304 
d)17:52 
e)1:3 
 
20. Question 
G's father's mother-in-law's great-grandchild's 
mother is Y . How is Y related to G? 
a) Niece 
b)Sister 
c)Grandmother 
d)Daughter 
e)Aunt 
 
21. Question 
'Ranjan' is the father of 'Amit' but 'Amit' is not 
his son. 'Manjula' is the daughter of 'Amit'. 
'Sangeeta' is the spouse of 'Ranjan'. 'Gurpal' is 
the brother of 'Amit'. 'Harry' is the son of 
'Gurpal'. 'Mini' is the spouse of 'Gurpal'. 'Gurtej' 
is the father of 'Mini'. Who is the grandchild of 
'Sangeeta'? 
a)Gurpal 
b)Mini 
c)Harry 
d)Amit  
e)Ranjan 
 
22. Question 
Determine the total whole numbers that lie 
between 100 and 800 which contain the digit 2: 
a)232 
b)240 
c)224 
d)230 
e)214 
 
23. Question 
In how many ways 11 identical toys be placed in 
3 distinct boxes such that no box is empty ? 
a)44 
b)33 
c)42 
d)72 
e)45 
 
24. Question 
A small store has five units of a new phone 
model in stock: two white, two black, and one 
red. Three customers arrive at the shop to buy a 
unit each. Each one has a pre- determined choice 
of the colour and will not buy a unit of any other 
colour. All the three customers are equally likely 
to have chosen any of the three colours. What is 
the probability that the store will be able to 
satisfy all the three customers ? 
a)7/9 
b)4/5 
c)1/3 
d)8/9 
e)2/3 
 
25. Question 
What will be the last two digits of the number 
7
45
? 
a)45 
b)35 
c)07 
d)49 
e)21 
 
26. Question 
In an examination, Rama's score was one -twelfth 
of the sum of the scores of Mohan and Anjali. 
After a review, the score of each of them 
increased by 6. The revised scores of Anjali, 
Mohan, and Rama were in the ratio 11:10:3. Then 
Anjali's score exceeded Rama's score by: 
a)29 
b)32 
c)26 
d)27 
e)31 
 
27. Question 
A card is drawn from a well shuffled pack of 
cards. What is the probability that it is a red card 
or a face card? 
a)9/13 
b)37/52 
c)31/52 
d)8/27 
e)8/13 
 
28. Question 
Find how many times in the giv en series, a 
number is preceded by an even number but not 
followed by 0 or a multiple of 3? 
759461803967389201393043912 
a)5 
b)7 
c)4 
Page 5


Logical Reasoning 
 
1. There is a lot of interest in the fir st fiv e ranks 
for Class XI students. One student guessed the 
rank order as Ankita, Bhagyashree, Chanchal, 
Devroopa and Esha. Later upon announcement of 
the results, it was found that not only did he get 
each student out off h er true positi on, none of 
the students in his ranking correctly followed her 
immediate predecessor. Another student guessed 
Devroopa, Ankita, Esha, Chanchal and 
Bhagyashree. Even his guess was wrong. It was 
found that he had got two positi ons correct, and 
two students in his ranking correctly followed 
their immediate predecessors. 
Which of the following is true about the correct 
rank order? 
a) Devroopa got the fir st positi on 
b) Esha got the fourth positio n 
c) Bhagyashree got the fourth positi on 
d) Chanchal got the second positi on 
e) Ankita got the third positio n 
 
2. Two ants A and B start from a point P on a 
circle at the same ti me, with A moving clock-wise 
and B moving anti -clockwise. They meet for the 
fir st ti me at 10:00 am when A has covered 60% of 
the track. If A returns to P at 10:12 am, then B 
returns to P at: 
a) 10:49 AM 
b) 10:23 AM 
c) 10:27 AM 
d) 10:39 AM 
e) 10:45 AM   
 
3. If the outer border of width 1 cm of a cube 
with side 5 cm is painted green on each side and 
remaining space enclosed by this 1 cm path is 
painted black. This cube then gets cut into 125 
smaller cubes of each side 1 cm. If the smaller 
cube so obtained is separated, then how many 
such smaller cubes shall have one face coloured 
green and the adjacent face coloured black ? 
a)16 
b)2 
c)0 
d)8 
e)1 
 
4. Complete the series given below: 
149, 162536, 496481, 100121144, ? 
a) 16819225 
b) 169196200 
c) 144289324 
d) 169169225 
e) 169196225 
 
5. Questi on 
How many 3-digit positi ve integers, with digits a, 
b and c exist such that a < band c<b? 
Assume that a is in hundred's place, b is in ten's 
place, c is in unit's place and that a is a non-zero 
digit. 
a)240 
b)256 
c)648 
d)302 
e)364 
 
6. Questi on 
A company Off ers Five types of successive 
discounts, specific ally 
Off er 1: 5% and 30%; 
Off er II: 10% and 25%; 
Off er III: 40% and 5%; 
Off er IV: 20% and 15%; & 
Off er V: 10% and 10%. 
Determine, which Off er is the best for a 
customer? 
a)off er I 
b)off er II 
c)off er III 
d)off er IV 
e)off er V 
 
 
7. Questi on 
70% of the students in a school play football, 
75% play cricket, 80% play basketball and 85% 
play carrom. 
The minimum percentage of students who play 
all four games is: 
a)10 
b)20 
c)66.66 
MAH-CET - 2024
Slot-1 d)15 
e)33.33 
 
 
 
8. Question 
Leaving home at the same time, A mal reaches 
office at 10:15 am if he travels at 8 km/hr, and at 
9:40 am if he travels at 15 km/hr. 
Leaving home at 9:10 am, at what speed, in 
km/hr, must he travel so as to reach office exactly 
at 10 am ? 
a)14 
b)12 
c)13 
d)15 
e)11 
 
 
 
9. Question 
If India celebrated its Republic Day on a 
Thursday in the year 1989, then on which day of 
the week, would the Indians be celebrating their 
Independence Day in the year 1993? 
 
a)Tuesday  
b)Friday 
c)Monday 
d)Sunday 
e)Thursday 
 
 
10. Question 
Two unbiased dice D1 and D2 are rolled and the 
number appearing on the uppermost face is 
noted as S1 and S2 respectively. 
What is the probability that (S1 + S2) > 10? 
a)7/36 
b)1/18 
c)5/36 
d)1/6 
e)1/12 
 
 
 
 
11. Question 
If: 
A + B = A is the son of A; 
A*BA is the wife of B 
A# B = A is the father of B 
A@BA is the brother of B 
Then: 
P@L+M#N*Q 
shall mean that: 
a)N is the sister of L 
b)L is the sister of N 
c)Q is the wife of N 
d)N is the brother L 
e)Q is the Brother of N 
 
 
 
12. Question 
The salaries of Ajay, Abhay and Ashay were in 
the ratio 6:5.7 in 2018, and in the ratio 3:4:3 in 
2023. If Ajay's salary increased by 25% during 
2018 - 2023, then the percentage increase in 
Ashay's salary during this period is closest to: 
a)6% 
b)7% 
c)5% 
d)9% 
e)4% 
 
 
 
13. Question 
The six faces of a wooden cube of side 6 cm are 
labelled A, B, C, D, E and F respectively. Three of 
these faces A, B, and C are each adjacent to the 
other two, and are painted red. The other three 
faces are not painted. Then, the wooden cube is 
neatly cut into 216 little cubes of equal size. How 
many of the little cubes have no sides painted at 
all? 
a)96 
b)125 
c)108 
d)222 
e)16 
 
14. Question 
Here are some words translated from an 
artificial language: 
gorbiflur means fan belt 
pixngorbl means ceiling fan 
arthtusl means tile roof 
Which word could mean "ceiling til e" in the 
given language 
a) pixnarth 
b) gorbigorbl 
c) arthflur 
d) gorbitusl 
e) flurgorbl 
 
15. Question 
Dutta is planning to invest on annual Simple 
Interest plans, a sum of Rs. 15 Lakhs for the 
higher education of his two daughters, Deepali 
and Neena. Neena is 15 years and Deepali is 12 
years old. Datta wishes that when Neena and 
Deepali turn 21 years old, they get Rs. 21 Lakhs 
each. 
What should be the rate of interest at which 
Datta should invest the sum for Neena and 
Deepali respectively? 
a) 20% and 28% 
b) 10% and 28% 
c) 7% and 25% 
d) 18% and 28% 
e) 20% and 30% 
 
16. Question 
Five Scores in a classroom are broken into Five 
respective different ranges: 
51-60, 
61-70, 
71-80, 
81-90 and 
91-100. 
The number of students who have scored in 
each range is given below. 
51 to 60-3 students, 
61 to 70 - 8 students, 
71 to 80-7 students, 
81 to 90-4 students, and 
91 o 100-3 students. 
Furthermore, we know that the number of 
students who scored 76 or more is atleast one 
more than those who scored below 75. What is 
the minimum possible average overall of this 
class? 
a)74.2 
b)75 
c)69.2 
d)70.6 
e)72.6 
 
17. Question 
Manda walks to the market and comes back in 
an auto. It takes her 90 minutes to make the 
round trip. If she takes an auto both ways it takes 
her 30 minutes. On a Sunday, she decides to walk 
both ways. How long would it take her ? 
a)150 minutes 
b)120 minutes 
c)100 minutes 
d)140 minutes 
e)130 minutes 
 
18. Question 
At any point of time, let x be the smaller of the 
two angles made by the hour hand with the 
minute hand on an analogue clock (in degrees). 
During the time interval from 2:30 p.m. to 3:00 
p.m. Determine, what is the minimum possible 
value of x in the given case ? 
 
a)90 
b)300 
c)45 
d)180 
e)75 
 
19. Question 
Two tanks of similar volume are full of a mixture 
of oil and water. In the first, the ratio of oil and 
water is 5:8 and in the second, it is 
7:19. 
If both these tanks are poured in a larger tank, 
what would be the resultant ratio of oil and 
water? 
a)17:53 
b)17:35 
c)151:304 
d)17:52 
e)1:3 
 
20. Question 
G's father's mother-in-law's great-grandchild's 
mother is Y . How is Y related to G? 
a) Niece 
b)Sister 
c)Grandmother 
d)Daughter 
e)Aunt 
 
21. Question 
'Ranjan' is the father of 'Amit' but 'Amit' is not 
his son. 'Manjula' is the daughter of 'Amit'. 
'Sangeeta' is the spouse of 'Ranjan'. 'Gurpal' is 
the brother of 'Amit'. 'Harry' is the son of 
'Gurpal'. 'Mini' is the spouse of 'Gurpal'. 'Gurtej' 
is the father of 'Mini'. Who is the grandchild of 
'Sangeeta'? 
a)Gurpal 
b)Mini 
c)Harry 
d)Amit  
e)Ranjan 
 
22. Question 
Determine the total whole numbers that lie 
between 100 and 800 which contain the digit 2: 
a)232 
b)240 
c)224 
d)230 
e)214 
 
23. Question 
In how many ways 11 identical toys be placed in 
3 distinct boxes such that no box is empty ? 
a)44 
b)33 
c)42 
d)72 
e)45 
 
24. Question 
A small store has five units of a new phone 
model in stock: two white, two black, and one 
red. Three customers arrive at the shop to buy a 
unit each. Each one has a pre- determined choice 
of the colour and will not buy a unit of any other 
colour. All the three customers are equally likely 
to have chosen any of the three colours. What is 
the probability that the store will be able to 
satisfy all the three customers ? 
a)7/9 
b)4/5 
c)1/3 
d)8/9 
e)2/3 
 
25. Question 
What will be the last two digits of the number 
7
45
? 
a)45 
b)35 
c)07 
d)49 
e)21 
 
26. Question 
In an examination, Rama's score was one -twelfth 
of the sum of the scores of Mohan and Anjali. 
After a review, the score of each of them 
increased by 6. The revised scores of Anjali, 
Mohan, and Rama were in the ratio 11:10:3. Then 
Anjali's score exceeded Rama's score by: 
a)29 
b)32 
c)26 
d)27 
e)31 
 
27. Question 
A card is drawn from a well shuffled pack of 
cards. What is the probability that it is a red card 
or a face card? 
a)9/13 
b)37/52 
c)31/52 
d)8/27 
e)8/13 
 
28. Question 
Find how many times in the giv en series, a 
number is preceded by an even number but not 
followed by 0 or a multiple of 3? 
759461803967389201393043912 
a)5 
b)7 
c)4 
d)3 
e)6 
 
 
29. Question 
B F L P R $
$ 
H D 
Find the alphabet that should come in place of 
$$ from the following: 
a)J 
b)A 
c)Z 
d)N 
e)M 
 
30. Question 
Rizz and Suzz invested INR 36,000 and INR 
54,000 respectively to start a business together. 
At the end of every year, Rizz got a fixed amount 
as annual salary from out of the year's profit, for 
managing the business. After Rizz was paid his 
salary, the remaining profit was distributed to 
both of them, In the ratio of their investments. If 
at the end of the first year, the total amounts 
received by Rizz and Suzz was to be in the ratio of 
3:2, then, determine as to what percent of profit 
did Rizz receive as salary? 
a)66.66% 
b)25% 
c)33.33% 
d)50% 
e)20.33% 
 
31. Question 
Two normal dice are thrown on a game board, 
the face of the two dice show the numbers 3 and 
2 respectively. 
What shall be the total of faces that lie exactly 
opposite to the face of the dice ? 
a)9 
b)12 
c)6 
d)7 
e)10 
 
. 
 
32. Question 
Given below is a detailing of a particular code 
language 
Nu
mb
ers 
9 8 7 6 5 4 3 2 1 0 
Le
ttte
r 
Q U I C K L Y R O D 
How shall 3060589404 be written in that 
language: 
a) YDCDKULQDL 
b) YDCDKUQLDL 
c) YDCKDQLUDL 
d) YDCDKUDLQL 
e) YDCDKQULDL 
 
 
33. Question 
The average age of a couple was 24 years. After 
their 1st and 2nd children (twins) were born, the 
average age of the family became 13.5 years. The 
average age of the family just after 3rd child was 
born was 13.2 years. The average age of the 
family after 4th child was born was 16 years. 
The current average age of the family is 19 years. 
Determine, what is the current age of the twin 
children? 
a)12 Years 
b)10 Years 
c)14 Years 
d)13 Years 
e)15 Years 
 
34. Question 
In the country of Four, there are four cities, A, B, 
C and D. 
B is to the East of A, C is to the South of B, 
D is to the West of C, and 
A is to the North of D. 
The Government of Four is planning to connect 
these four cities by road such that it is possible 
for a person to go from a city to any of the other 
three cities. At the same time, the Government 
wants to ensure that the total road length is 
minimum. 
The distances between A to B, B to C, C to D and 
D to A are all equal to 10 km.