SSC MTS Previous Year Question Papers (21 October 2024) Shift 1 | SSC MTS Mock Test Series 2026 - SSC MTS / SSC GD PDF Download

 Page 1


Q.1 A man bought an article for ?500 and sold it for ?400. Find his loss percentage.
Ans 1. 25%
2. 20%
3. 30%
4. 100%
Q.2 Two numbers are in the ratio of 7:9 and their LCM is 630. Find the numbers
Ans 1. 56, 72
2. 77, 99
3. 70, 90
4. 63, 81
Q
.
3
A
n
s
1. 20%
2. 10%
3. 25%
4. 15%
Q.4 Find the simple interest (in ?) on ?3500 as a sum borrowed at 4% per year rate of interest for 4 years.
Ans 1. 600
2. 520
3. 500
4. 560
Q.5
Ans 1. 10,437.43
2. 11,282.85
3. 10,182.86
4. 10,128.85
Q.6 One train is moving with at twice the speed of a second train. The lengths of the trains are equal. The ratio of the time taken
by these trains to cross each other when moving in the same direction and in opposite directions, respectively, is:
Ans
1. 
2. 
3. 
4. 
Section : Numerical and Mathematical Ability
Page 2


Q.1 A man bought an article for ?500 and sold it for ?400. Find his loss percentage.
Ans 1. 25%
2. 20%
3. 30%
4. 100%
Q.2 Two numbers are in the ratio of 7:9 and their LCM is 630. Find the numbers
Ans 1. 56, 72
2. 77, 99
3. 70, 90
4. 63, 81
Q
.
3
A
n
s
1. 20%
2. 10%
3. 25%
4. 15%
Q.4 Find the simple interest (in ?) on ?3500 as a sum borrowed at 4% per year rate of interest for 4 years.
Ans 1. 600
2. 520
3. 500
4. 560
Q.5
Ans 1. 10,437.43
2. 11,282.85
3. 10,182.86
4. 10,128.85
Q.6 One train is moving with at twice the speed of a second train. The lengths of the trains are equal. The ratio of the time taken
by these trains to cross each other when moving in the same direction and in opposite directions, respectively, is:
Ans
1. 
2. 
3. 
4. 
Section : Numerical and Mathematical Ability
Q.7 A boat can travel at a speed of 42 km/hr in still water. If the speed of the stream is 3 km/hr, how much time (in hours and
minutes) will be taken by the boat to go 157.5 km downstream, and then 78 km upstream?
Ans 1. 6 h 20 min
2. 4 h 45 min
3. 5 h 30 min
4. 7 h 25 min
Q.8 A vessel contains 80 litres of a mixture of alcohol and water in the ratio of 3 : 7. If 40 litres of the mixture is taken out from
the vessel and replaced with 40 litres of water, then the ratio of alcohol and water becomes:
Ans 1. 3 : 17
2. 1 : 11
3. 3 : 23
4. 2 : 15
Q.9 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 65 kg and 39 kg is:
Ans 1. 48.8
2. 49.8
3. 50.8
4. 51.8
Q.10 There are two groups C and D of a class consisting of 32 and 40 students, respectively. If the average weight of group C is
60 kg and that of group D is 33 kg, then find the average weight of the whole class.
Ans 1. 46.5 kg
2. 45 kg
3. 45.2 kg
4. 44 kg
Q.11
b is the sum of two quantities, one of which varies inversely as the square of a
2
 , and the other of which varies directly as a.
Identify the relationship between a and b if b = 49 when a = 3 or 5.
Ans 1. a = 3b
2. a = 3b
2
 - 7/a
3. b = 8a + 225/a
2
4. b = 2a 
Q.12 If apples and pears in a basket are in the ratio of 5 : 8, then find the percentage of pears (correct to two decimal places) in
the basket.
Ans 1. 69.5%
2. 63.45%
3. 61.54%
4. 59.44%
Q.13 Study the given table carefully and answer the question that follows.
The below table shows the production of the number of bottles (1 L) of soft drinks of three companies during 2016-2020.
Year A (in lakhs) B (in lakhs) C (in lakhs)
2016 38000 43000 52000
2017 42000 52000 58000
2018 53000 65000 63000
2019 30000 35000 32000
2020 20000 25000 28000
What was the percentage decrease in B's production in 2020 as compared to B's production in 2018 (approximate to two
decimals)?
Ans 1. 60%
2. 75.50%
3. 85.56%
4. 61.54%
Page 3


Q.1 A man bought an article for ?500 and sold it for ?400. Find his loss percentage.
Ans 1. 25%
2. 20%
3. 30%
4. 100%
Q.2 Two numbers are in the ratio of 7:9 and their LCM is 630. Find the numbers
Ans 1. 56, 72
2. 77, 99
3. 70, 90
4. 63, 81
Q
.
3
A
n
s
1. 20%
2. 10%
3. 25%
4. 15%
Q.4 Find the simple interest (in ?) on ?3500 as a sum borrowed at 4% per year rate of interest for 4 years.
Ans 1. 600
2. 520
3. 500
4. 560
Q.5
Ans 1. 10,437.43
2. 11,282.85
3. 10,182.86
4. 10,128.85
Q.6 One train is moving with at twice the speed of a second train. The lengths of the trains are equal. The ratio of the time taken
by these trains to cross each other when moving in the same direction and in opposite directions, respectively, is:
Ans
1. 
2. 
3. 
4. 
Section : Numerical and Mathematical Ability
Q.7 A boat can travel at a speed of 42 km/hr in still water. If the speed of the stream is 3 km/hr, how much time (in hours and
minutes) will be taken by the boat to go 157.5 km downstream, and then 78 km upstream?
Ans 1. 6 h 20 min
2. 4 h 45 min
3. 5 h 30 min
4. 7 h 25 min
Q.8 A vessel contains 80 litres of a mixture of alcohol and water in the ratio of 3 : 7. If 40 litres of the mixture is taken out from
the vessel and replaced with 40 litres of water, then the ratio of alcohol and water becomes:
Ans 1. 3 : 17
2. 1 : 11
3. 3 : 23
4. 2 : 15
Q.9 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 65 kg and 39 kg is:
Ans 1. 48.8
2. 49.8
3. 50.8
4. 51.8
Q.10 There are two groups C and D of a class consisting of 32 and 40 students, respectively. If the average weight of group C is
60 kg and that of group D is 33 kg, then find the average weight of the whole class.
Ans 1. 46.5 kg
2. 45 kg
3. 45.2 kg
4. 44 kg
Q.11
b is the sum of two quantities, one of which varies inversely as the square of a
2
 , and the other of which varies directly as a.
Identify the relationship between a and b if b = 49 when a = 3 or 5.
Ans 1. a = 3b
2. a = 3b
2
 - 7/a
3. b = 8a + 225/a
2
4. b = 2a 
Q.12 If apples and pears in a basket are in the ratio of 5 : 8, then find the percentage of pears (correct to two decimal places) in
the basket.
Ans 1. 69.5%
2. 63.45%
3. 61.54%
4. 59.44%
Q.13 Study the given table carefully and answer the question that follows.
The below table shows the production of the number of bottles (1 L) of soft drinks of three companies during 2016-2020.
Year A (in lakhs) B (in lakhs) C (in lakhs)
2016 38000 43000 52000
2017 42000 52000 58000
2018 53000 65000 63000
2019 30000 35000 32000
2020 20000 25000 28000
What was the percentage decrease in B's production in 2020 as compared to B's production in 2018 (approximate to two
decimals)?
Ans 1. 60%
2. 75.50%
3. 85.56%
4. 61.54%
Q.14 The whole surface area of a right circular cone of radius 15 metres and height 8 metres is:
Ans
1. 
2. 
3. 
4. 
Q.15 The average weight of two persons A and B is 70 kg. Another person C joins A and B and the average weight now becomes
72 kg. If another person D, whose weight is 2 kg less than that of C, replaces A, then the average weight of B, C and D
becomes 70 kg. Find the weight of A (in kg).
Ans 1. 75
2. 80
3. 73
4. 74
Q.16 The bar graph shows the number of cars and the number of total vehicles in thousands, registered in given months. What
was the total number of vehicles other than cars registered in the given months?
Ans 1. 48000
2. 54000
3. 55000
4. 52000
Q.17 Find the simple interest (in ?) on ?2500 as a sum borrowed at 5% per year rate of interest for 5 years.
Ans 1. 665
2. 585
3. 625
4. 565
Q.18 Akhil bought two articles at ?4,500 each. He sold one article at a 12% gain but had to sell the second article at a loss. If he
had suffered a loss of ?395 on the whole transaction, then what was the selling price of the second article?
Ans 1. ?3,500
2. ?3,595
3. ?3,565
4. ?3,550
Page 4


Q.1 A man bought an article for ?500 and sold it for ?400. Find his loss percentage.
Ans 1. 25%
2. 20%
3. 30%
4. 100%
Q.2 Two numbers are in the ratio of 7:9 and their LCM is 630. Find the numbers
Ans 1. 56, 72
2. 77, 99
3. 70, 90
4. 63, 81
Q
.
3
A
n
s
1. 20%
2. 10%
3. 25%
4. 15%
Q.4 Find the simple interest (in ?) on ?3500 as a sum borrowed at 4% per year rate of interest for 4 years.
Ans 1. 600
2. 520
3. 500
4. 560
Q.5
Ans 1. 10,437.43
2. 11,282.85
3. 10,182.86
4. 10,128.85
Q.6 One train is moving with at twice the speed of a second train. The lengths of the trains are equal. The ratio of the time taken
by these trains to cross each other when moving in the same direction and in opposite directions, respectively, is:
Ans
1. 
2. 
3. 
4. 
Section : Numerical and Mathematical Ability
Q.7 A boat can travel at a speed of 42 km/hr in still water. If the speed of the stream is 3 km/hr, how much time (in hours and
minutes) will be taken by the boat to go 157.5 km downstream, and then 78 km upstream?
Ans 1. 6 h 20 min
2. 4 h 45 min
3. 5 h 30 min
4. 7 h 25 min
Q.8 A vessel contains 80 litres of a mixture of alcohol and water in the ratio of 3 : 7. If 40 litres of the mixture is taken out from
the vessel and replaced with 40 litres of water, then the ratio of alcohol and water becomes:
Ans 1. 3 : 17
2. 1 : 11
3. 3 : 23
4. 2 : 15
Q.9 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 65 kg and 39 kg is:
Ans 1. 48.8
2. 49.8
3. 50.8
4. 51.8
Q.10 There are two groups C and D of a class consisting of 32 and 40 students, respectively. If the average weight of group C is
60 kg and that of group D is 33 kg, then find the average weight of the whole class.
Ans 1. 46.5 kg
2. 45 kg
3. 45.2 kg
4. 44 kg
Q.11
b is the sum of two quantities, one of which varies inversely as the square of a
2
 , and the other of which varies directly as a.
Identify the relationship between a and b if b = 49 when a = 3 or 5.
Ans 1. a = 3b
2. a = 3b
2
 - 7/a
3. b = 8a + 225/a
2
4. b = 2a 
Q.12 If apples and pears in a basket are in the ratio of 5 : 8, then find the percentage of pears (correct to two decimal places) in
the basket.
Ans 1. 69.5%
2. 63.45%
3. 61.54%
4. 59.44%
Q.13 Study the given table carefully and answer the question that follows.
The below table shows the production of the number of bottles (1 L) of soft drinks of three companies during 2016-2020.
Year A (in lakhs) B (in lakhs) C (in lakhs)
2016 38000 43000 52000
2017 42000 52000 58000
2018 53000 65000 63000
2019 30000 35000 32000
2020 20000 25000 28000
What was the percentage decrease in B's production in 2020 as compared to B's production in 2018 (approximate to two
decimals)?
Ans 1. 60%
2. 75.50%
3. 85.56%
4. 61.54%
Q.14 The whole surface area of a right circular cone of radius 15 metres and height 8 metres is:
Ans
1. 
2. 
3. 
4. 
Q.15 The average weight of two persons A and B is 70 kg. Another person C joins A and B and the average weight now becomes
72 kg. If another person D, whose weight is 2 kg less than that of C, replaces A, then the average weight of B, C and D
becomes 70 kg. Find the weight of A (in kg).
Ans 1. 75
2. 80
3. 73
4. 74
Q.16 The bar graph shows the number of cars and the number of total vehicles in thousands, registered in given months. What
was the total number of vehicles other than cars registered in the given months?
Ans 1. 48000
2. 54000
3. 55000
4. 52000
Q.17 Find the simple interest (in ?) on ?2500 as a sum borrowed at 5% per year rate of interest for 5 years.
Ans 1. 665
2. 585
3. 625
4. 565
Q.18 Akhil bought two articles at ?4,500 each. He sold one article at a 12% gain but had to sell the second article at a loss. If he
had suffered a loss of ?395 on the whole transaction, then what was the selling price of the second article?
Ans 1. ?3,500
2. ?3,595
3. ?3,565
4. ?3,550
Q.19 A cylinder of radius 10 cm and height 30 cm is cut, parallel to the base, into two pieces of different sizes. The total surface
area of the larger piece formed is 70% of that of the given cylinder. The smaller piece is melted and made into a sphere. The
radius (in cm) of the sphere is:
Ans
1. 
2. 
3. 
4. 
Q.20
A sum of money was lent on simple interest. After 7 years it’s simple
interest became of it. Find the rate of interest per annum.
Ans 1. 10%
2. 12%
3. 8%
4. 5%
Q.1 Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Ans
1. 
2. 
3. 
4. 
Section : Reasoning Ability and Problem Solving
Page 5


Q.1 A man bought an article for ?500 and sold it for ?400. Find his loss percentage.
Ans 1. 25%
2. 20%
3. 30%
4. 100%
Q.2 Two numbers are in the ratio of 7:9 and their LCM is 630. Find the numbers
Ans 1. 56, 72
2. 77, 99
3. 70, 90
4. 63, 81
Q
.
3
A
n
s
1. 20%
2. 10%
3. 25%
4. 15%
Q.4 Find the simple interest (in ?) on ?3500 as a sum borrowed at 4% per year rate of interest for 4 years.
Ans 1. 600
2. 520
3. 500
4. 560
Q.5
Ans 1. 10,437.43
2. 11,282.85
3. 10,182.86
4. 10,128.85
Q.6 One train is moving with at twice the speed of a second train. The lengths of the trains are equal. The ratio of the time taken
by these trains to cross each other when moving in the same direction and in opposite directions, respectively, is:
Ans
1. 
2. 
3. 
4. 
Section : Numerical and Mathematical Ability
Q.7 A boat can travel at a speed of 42 km/hr in still water. If the speed of the stream is 3 km/hr, how much time (in hours and
minutes) will be taken by the boat to go 157.5 km downstream, and then 78 km upstream?
Ans 1. 6 h 20 min
2. 4 h 45 min
3. 5 h 30 min
4. 7 h 25 min
Q.8 A vessel contains 80 litres of a mixture of alcohol and water in the ratio of 3 : 7. If 40 litres of the mixture is taken out from
the vessel and replaced with 40 litres of water, then the ratio of alcohol and water becomes:
Ans 1. 3 : 17
2. 1 : 11
3. 3 : 23
4. 2 : 15
Q.9 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 65 kg and 39 kg is:
Ans 1. 48.8
2. 49.8
3. 50.8
4. 51.8
Q.10 There are two groups C and D of a class consisting of 32 and 40 students, respectively. If the average weight of group C is
60 kg and that of group D is 33 kg, then find the average weight of the whole class.
Ans 1. 46.5 kg
2. 45 kg
3. 45.2 kg
4. 44 kg
Q.11
b is the sum of two quantities, one of which varies inversely as the square of a
2
 , and the other of which varies directly as a.
Identify the relationship between a and b if b = 49 when a = 3 or 5.
Ans 1. a = 3b
2. a = 3b
2
 - 7/a
3. b = 8a + 225/a
2
4. b = 2a 
Q.12 If apples and pears in a basket are in the ratio of 5 : 8, then find the percentage of pears (correct to two decimal places) in
the basket.
Ans 1. 69.5%
2. 63.45%
3. 61.54%
4. 59.44%
Q.13 Study the given table carefully and answer the question that follows.
The below table shows the production of the number of bottles (1 L) of soft drinks of three companies during 2016-2020.
Year A (in lakhs) B (in lakhs) C (in lakhs)
2016 38000 43000 52000
2017 42000 52000 58000
2018 53000 65000 63000
2019 30000 35000 32000
2020 20000 25000 28000
What was the percentage decrease in B's production in 2020 as compared to B's production in 2018 (approximate to two
decimals)?
Ans 1. 60%
2. 75.50%
3. 85.56%
4. 61.54%
Q.14 The whole surface area of a right circular cone of radius 15 metres and height 8 metres is:
Ans
1. 
2. 
3. 
4. 
Q.15 The average weight of two persons A and B is 70 kg. Another person C joins A and B and the average weight now becomes
72 kg. If another person D, whose weight is 2 kg less than that of C, replaces A, then the average weight of B, C and D
becomes 70 kg. Find the weight of A (in kg).
Ans 1. 75
2. 80
3. 73
4. 74
Q.16 The bar graph shows the number of cars and the number of total vehicles in thousands, registered in given months. What
was the total number of vehicles other than cars registered in the given months?
Ans 1. 48000
2. 54000
3. 55000
4. 52000
Q.17 Find the simple interest (in ?) on ?2500 as a sum borrowed at 5% per year rate of interest for 5 years.
Ans 1. 665
2. 585
3. 625
4. 565
Q.18 Akhil bought two articles at ?4,500 each. He sold one article at a 12% gain but had to sell the second article at a loss. If he
had suffered a loss of ?395 on the whole transaction, then what was the selling price of the second article?
Ans 1. ?3,500
2. ?3,595
3. ?3,565
4. ?3,550
Q.19 A cylinder of radius 10 cm and height 30 cm is cut, parallel to the base, into two pieces of different sizes. The total surface
area of the larger piece formed is 70% of that of the given cylinder. The smaller piece is melted and made into a sphere. The
radius (in cm) of the sphere is:
Ans
1. 
2. 
3. 
4. 
Q.20
A sum of money was lent on simple interest. After 7 years it’s simple
interest became of it. Find the rate of interest per annum.
Ans 1. 10%
2. 12%
3. 8%
4. 5%
Q.1 Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Ans
1. 
2. 
3. 
4. 
Section : Reasoning Ability and Problem Solving
Q.2 Select the option in which the given figure is embedded (rotation is NOT allowed).
Ans
1. 
2. 
3. 
4. 
Q.3 Seven friends - P, Q, R, A, X, Y, and Z - are sitting around a circular table, facing the centre (but not necessarily in the same
order). Y is sitting sixth to the right of Q. P is sitting third to the left of Y. A has Q and X as immediate neighbours. Z is to the
immediate right of P.
Who is sitting to the immediate right of R?
Ans 1. Q
2. P
3. Y
4. X
Q.4 What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’
are interchanged?
25 – 45 × 9 ÷ 5 + 20 = ?
Ans 1. 30
2. 35
3. 33
4. 32