Page 1
Q.1
A car travels from Kanpur to Delhi at an average speed of 60 km/h and returns at an average speed of 90
km/h. Find the average speed of the car in the whole journey.
Ans 1. 65 km/h
2. 78 km/h
3. 60 km/h
4. 72 km/h
Q.2 A shopkeeper declares the following three schemes of discounts. Which scheme is most beneficial to a customer?
A. Buy 25 items and get 30 of the same items
B. Two successive discounts of 12% and 18%
C. Two successive equal discounts of 15%
Ans 1. A
2. B and C
3. Only C
4. Only B
Q.3 The simple interest on a certain sum of money at the rate of 5% per annum for 9 years is ?1,260. At what rate of interest can
the same amount of interest be received on the same sum after 6 years?
Ans 1.
2.
3.
4.
Q.4 By selling an article for ?20, a dealer makes a profit of 10%. By how much should he increase his selling price (in ?, rounded
off to two decimal place) so as to make a profit of 40%?
Ans 1. 5.45
2. 8.45
3. 6.45
4. 7.45
Q.5 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 70 kg and 35 kg is:
Ans 1. 50
2. 52
3. 51
4. 49
Section : Numerical and Mathematical Ability
Page 2
Q.1
A car travels from Kanpur to Delhi at an average speed of 60 km/h and returns at an average speed of 90
km/h. Find the average speed of the car in the whole journey.
Ans 1. 65 km/h
2. 78 km/h
3. 60 km/h
4. 72 km/h
Q.2 A shopkeeper declares the following three schemes of discounts. Which scheme is most beneficial to a customer?
A. Buy 25 items and get 30 of the same items
B. Two successive discounts of 12% and 18%
C. Two successive equal discounts of 15%
Ans 1. A
2. B and C
3. Only C
4. Only B
Q.3 The simple interest on a certain sum of money at the rate of 5% per annum for 9 years is ?1,260. At what rate of interest can
the same amount of interest be received on the same sum after 6 years?
Ans 1.
2.
3.
4.
Q.4 By selling an article for ?20, a dealer makes a profit of 10%. By how much should he increase his selling price (in ?, rounded
off to two decimal place) so as to make a profit of 40%?
Ans 1. 5.45
2. 8.45
3. 6.45
4. 7.45
Q.5 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 70 kg and 35 kg is:
Ans 1. 50
2. 52
3. 51
4. 49
Section : Numerical and Mathematical Ability
Q.6 Three red lights on the same road start blinking at the same time and blink repeatedly after every 4, 6 and 8 minutes,
respectively. How many times will they blink together in an interval of 3 hours, excluding blinking together at the starting
moment?
Ans 1. 5
2. 7
3. 6
4. 4
Q.7 In a mixture of 60 litres, milk and water are in the ratio 7 : 3. If 3 litres of water be added, find the ratio of milk and water in
the new mixture.
Ans
1. 2:3
2. 3:2
3. 2:1
4. 1:2
Q.8 In a 5-km race, A beats B by 750 metres and C by 1260 metres. By how many metres does B beat C in the same race?
Ans 1. 700 metres
2. 600 metres
3. 500 metres
4. 400 metres
Q.9 A solid cone of base radius 7 cm and height 18 cm is melted and recast into a hollow metal hemisphere of internal and
external radii 20 cm and R cm, respectively. What is the value of R (in cm)?
Ans
1.
2.
3.
4.
Q.10
Ans 1. 712
2. 826
3. 956
4. 789
Page 3
Q.1
A car travels from Kanpur to Delhi at an average speed of 60 km/h and returns at an average speed of 90
km/h. Find the average speed of the car in the whole journey.
Ans 1. 65 km/h
2. 78 km/h
3. 60 km/h
4. 72 km/h
Q.2 A shopkeeper declares the following three schemes of discounts. Which scheme is most beneficial to a customer?
A. Buy 25 items and get 30 of the same items
B. Two successive discounts of 12% and 18%
C. Two successive equal discounts of 15%
Ans 1. A
2. B and C
3. Only C
4. Only B
Q.3 The simple interest on a certain sum of money at the rate of 5% per annum for 9 years is ?1,260. At what rate of interest can
the same amount of interest be received on the same sum after 6 years?
Ans 1.
2.
3.
4.
Q.4 By selling an article for ?20, a dealer makes a profit of 10%. By how much should he increase his selling price (in ?, rounded
off to two decimal place) so as to make a profit of 40%?
Ans 1. 5.45
2. 8.45
3. 6.45
4. 7.45
Q.5 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 70 kg and 35 kg is:
Ans 1. 50
2. 52
3. 51
4. 49
Section : Numerical and Mathematical Ability
Q.6 Three red lights on the same road start blinking at the same time and blink repeatedly after every 4, 6 and 8 minutes,
respectively. How many times will they blink together in an interval of 3 hours, excluding blinking together at the starting
moment?
Ans 1. 5
2. 7
3. 6
4. 4
Q.7 In a mixture of 60 litres, milk and water are in the ratio 7 : 3. If 3 litres of water be added, find the ratio of milk and water in
the new mixture.
Ans
1. 2:3
2. 3:2
3. 2:1
4. 1:2
Q.8 In a 5-km race, A beats B by 750 metres and C by 1260 metres. By how many metres does B beat C in the same race?
Ans 1. 700 metres
2. 600 metres
3. 500 metres
4. 400 metres
Q.9 A solid cone of base radius 7 cm and height 18 cm is melted and recast into a hollow metal hemisphere of internal and
external radii 20 cm and R cm, respectively. What is the value of R (in cm)?
Ans
1.
2.
3.
4.
Q.10
Ans 1. 712
2. 826
3. 956
4. 789
Q.11 The ratio of income to expenditure of a family is 18:15. Find the savings if the income of the family is ?81,000.
Ans 1. ?12,750
2. ?15,000
3. ?13,500
4. ?17,500
Q.12
The curved surface area of a cylinder is three-fifth of its total surface area. Find the ratio
between the height and radius of the cylinder.
Ans 1. 3 : 2
2. 2 : 5
3. 3 : 5
4. 8 : 3
Q.13
The given bar graph shows the number of bicycles produced by a company from 1996 to 2000. Study
the given bar graph and answer the question that follows.
The combined number of bicycles produced during 1996, 1997 and 2000 is what percentage (rounded
off to 1 decimal place) of the combined bicycles produced from 1996 to 2000?
Ans 1.
2.
3.
4.
Q.14 A man sold an article for ?247.50, thereby gaining 12.5%. The cost of the article (in ?) was:
Ans 1. 225
2. 220
3. 224
4. 210
Page 4
Q.1
A car travels from Kanpur to Delhi at an average speed of 60 km/h and returns at an average speed of 90
km/h. Find the average speed of the car in the whole journey.
Ans 1. 65 km/h
2. 78 km/h
3. 60 km/h
4. 72 km/h
Q.2 A shopkeeper declares the following three schemes of discounts. Which scheme is most beneficial to a customer?
A. Buy 25 items and get 30 of the same items
B. Two successive discounts of 12% and 18%
C. Two successive equal discounts of 15%
Ans 1. A
2. B and C
3. Only C
4. Only B
Q.3 The simple interest on a certain sum of money at the rate of 5% per annum for 9 years is ?1,260. At what rate of interest can
the same amount of interest be received on the same sum after 6 years?
Ans 1.
2.
3.
4.
Q.4 By selling an article for ?20, a dealer makes a profit of 10%. By how much should he increase his selling price (in ?, rounded
off to two decimal place) so as to make a profit of 40%?
Ans 1. 5.45
2. 8.45
3. 6.45
4. 7.45
Q.5 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 70 kg and 35 kg is:
Ans 1. 50
2. 52
3. 51
4. 49
Section : Numerical and Mathematical Ability
Q.6 Three red lights on the same road start blinking at the same time and blink repeatedly after every 4, 6 and 8 minutes,
respectively. How many times will they blink together in an interval of 3 hours, excluding blinking together at the starting
moment?
Ans 1. 5
2. 7
3. 6
4. 4
Q.7 In a mixture of 60 litres, milk and water are in the ratio 7 : 3. If 3 litres of water be added, find the ratio of milk and water in
the new mixture.
Ans
1. 2:3
2. 3:2
3. 2:1
4. 1:2
Q.8 In a 5-km race, A beats B by 750 metres and C by 1260 metres. By how many metres does B beat C in the same race?
Ans 1. 700 metres
2. 600 metres
3. 500 metres
4. 400 metres
Q.9 A solid cone of base radius 7 cm and height 18 cm is melted and recast into a hollow metal hemisphere of internal and
external radii 20 cm and R cm, respectively. What is the value of R (in cm)?
Ans
1.
2.
3.
4.
Q.10
Ans 1. 712
2. 826
3. 956
4. 789
Q.11 The ratio of income to expenditure of a family is 18:15. Find the savings if the income of the family is ?81,000.
Ans 1. ?12,750
2. ?15,000
3. ?13,500
4. ?17,500
Q.12
The curved surface area of a cylinder is three-fifth of its total surface area. Find the ratio
between the height and radius of the cylinder.
Ans 1. 3 : 2
2. 2 : 5
3. 3 : 5
4. 8 : 3
Q.13
The given bar graph shows the number of bicycles produced by a company from 1996 to 2000. Study
the given bar graph and answer the question that follows.
The combined number of bicycles produced during 1996, 1997 and 2000 is what percentage (rounded
off to 1 decimal place) of the combined bicycles produced from 1996 to 2000?
Ans 1.
2.
3.
4.
Q.14 A man sold an article for ?247.50, thereby gaining 12.5%. The cost of the article (in ?) was:
Ans 1. 225
2. 220
3. 224
4. 210
Q.15 Find the simple interest (in ?) on ?2000 as a sum borrowed at 7% per year rate of interest for 4 years.
Ans 1. 600
2. 500
3. 520
4. 560
Q.16 The average of the present ages of P and Q is 56 years and their ages are in the ratio 5:3. What will be the age of Q seven
years hence?
Ans 1. 54 years
2. 42 years
3. 52 years
4. 49 years
Q.17 A tunnel elevator can carry a maximum of 15 passengers with an average weight of 81 kg. However, four persons beyond
the maximum capacity entered the elevator, resulting in an average weight of 82 kg and causing it to be overloaded. Find the
average weight (in kg) of the additional four persons.
Ans 1. 90.41
2. 100
3. 102.37
4. 85.75
Q.18 The average weight of three friends Ram, Ramesh and Shyam is 76 kg. Somesh joins them and the average weight of the
four friends becomes 74 kg. If Mohan, whose weight is 2 kg more than that of Somesh replaces Ramesh, the average weight
of Ram, Shyam, Somesh and Mohan becomes 68 kg. Find the weight of Ramesh.
Ans 1. 89 kg
2. 94 kg
3. 75 kg
4. 84 kg
Q.19 Find the simple interest (in ?) on ?3000 as a sum borrowed at 8% per year rate of interest for 5 years.
Ans 1. 1240
2. 1140
3. 1200
4. 1160
Q.20
Ans 1. 3 : 5
2. 4 : 7
3. 3 : 4
4. 2 : 3
Q.1 DFIE is related to CGHF in a certain way based on the English alphabetical order. In the same way, MOFC is related to LPED.
To which of the following is GRRP related, following the same logic?
Ans 1. DSPQ
2. ERQQ
3. FSQQ
4. FSQR
Section : Reasoning Ability and Problem Solving
Page 5
Q.1
A car travels from Kanpur to Delhi at an average speed of 60 km/h and returns at an average speed of 90
km/h. Find the average speed of the car in the whole journey.
Ans 1. 65 km/h
2. 78 km/h
3. 60 km/h
4. 72 km/h
Q.2 A shopkeeper declares the following three schemes of discounts. Which scheme is most beneficial to a customer?
A. Buy 25 items and get 30 of the same items
B. Two successive discounts of 12% and 18%
C. Two successive equal discounts of 15%
Ans 1. A
2. B and C
3. Only C
4. Only B
Q.3 The simple interest on a certain sum of money at the rate of 5% per annum for 9 years is ?1,260. At what rate of interest can
the same amount of interest be received on the same sum after 6 years?
Ans 1.
2.
3.
4.
Q.4 By selling an article for ?20, a dealer makes a profit of 10%. By how much should he increase his selling price (in ?, rounded
off to two decimal place) so as to make a profit of 40%?
Ans 1. 5.45
2. 8.45
3. 6.45
4. 7.45
Q.5 The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 70 kg and 35 kg is:
Ans 1. 50
2. 52
3. 51
4. 49
Section : Numerical and Mathematical Ability
Q.6 Three red lights on the same road start blinking at the same time and blink repeatedly after every 4, 6 and 8 minutes,
respectively. How many times will they blink together in an interval of 3 hours, excluding blinking together at the starting
moment?
Ans 1. 5
2. 7
3. 6
4. 4
Q.7 In a mixture of 60 litres, milk and water are in the ratio 7 : 3. If 3 litres of water be added, find the ratio of milk and water in
the new mixture.
Ans
1. 2:3
2. 3:2
3. 2:1
4. 1:2
Q.8 In a 5-km race, A beats B by 750 metres and C by 1260 metres. By how many metres does B beat C in the same race?
Ans 1. 700 metres
2. 600 metres
3. 500 metres
4. 400 metres
Q.9 A solid cone of base radius 7 cm and height 18 cm is melted and recast into a hollow metal hemisphere of internal and
external radii 20 cm and R cm, respectively. What is the value of R (in cm)?
Ans
1.
2.
3.
4.
Q.10
Ans 1. 712
2. 826
3. 956
4. 789
Q.11 The ratio of income to expenditure of a family is 18:15. Find the savings if the income of the family is ?81,000.
Ans 1. ?12,750
2. ?15,000
3. ?13,500
4. ?17,500
Q.12
The curved surface area of a cylinder is three-fifth of its total surface area. Find the ratio
between the height and radius of the cylinder.
Ans 1. 3 : 2
2. 2 : 5
3. 3 : 5
4. 8 : 3
Q.13
The given bar graph shows the number of bicycles produced by a company from 1996 to 2000. Study
the given bar graph and answer the question that follows.
The combined number of bicycles produced during 1996, 1997 and 2000 is what percentage (rounded
off to 1 decimal place) of the combined bicycles produced from 1996 to 2000?
Ans 1.
2.
3.
4.
Q.14 A man sold an article for ?247.50, thereby gaining 12.5%. The cost of the article (in ?) was:
Ans 1. 225
2. 220
3. 224
4. 210
Q.15 Find the simple interest (in ?) on ?2000 as a sum borrowed at 7% per year rate of interest for 4 years.
Ans 1. 600
2. 500
3. 520
4. 560
Q.16 The average of the present ages of P and Q is 56 years and their ages are in the ratio 5:3. What will be the age of Q seven
years hence?
Ans 1. 54 years
2. 42 years
3. 52 years
4. 49 years
Q.17 A tunnel elevator can carry a maximum of 15 passengers with an average weight of 81 kg. However, four persons beyond
the maximum capacity entered the elevator, resulting in an average weight of 82 kg and causing it to be overloaded. Find the
average weight (in kg) of the additional four persons.
Ans 1. 90.41
2. 100
3. 102.37
4. 85.75
Q.18 The average weight of three friends Ram, Ramesh and Shyam is 76 kg. Somesh joins them and the average weight of the
four friends becomes 74 kg. If Mohan, whose weight is 2 kg more than that of Somesh replaces Ramesh, the average weight
of Ram, Shyam, Somesh and Mohan becomes 68 kg. Find the weight of Ramesh.
Ans 1. 89 kg
2. 94 kg
3. 75 kg
4. 84 kg
Q.19 Find the simple interest (in ?) on ?3000 as a sum borrowed at 8% per year rate of interest for 5 years.
Ans 1. 1240
2. 1140
3. 1200
4. 1160
Q.20
Ans 1. 3 : 5
2. 4 : 7
3. 3 : 4
4. 2 : 3
Q.1 DFIE is related to CGHF in a certain way based on the English alphabetical order. In the same way, MOFC is related to LPED.
To which of the following is GRRP related, following the same logic?
Ans 1. DSPQ
2. ERQQ
3. FSQQ
4. FSQR
Section : Reasoning Ability and Problem Solving
Q.2 8 is related to 93 following a certain logic. Following the same logic, 10 is related to 117. To which of the following is 14
related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent
digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into
1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Ans 1. 166
2. 187
3. 165
4. 189
Q.3 CA 19 is related to ID 14 in a certain way. In the same way, ML 53 is related to SO 48. To which of the following is GD 8
related, following the same logic?
Ans 1. NF -3
2. MG 3
3. MH -3
4. NH 3
Q.4 What will come in the place of ‘?’ in the following equation, if ‘÷’ and ‘-‘ are interchanged and ‘×’ and ‘+’ are interchanged?
12 × 96 - 24 + 8 ÷ 38 = ?
Ans 1. 16
2. 6
3. -4
4. -14
Q.5 Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even
if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the
statement(s).
Statements:
Some cups are glasses.
No cup is a plate.
Conclusions:
(I) No glass is a plate.
(II) Some glasses are not cups.
Ans 1. Both conclusions I and II follow.
2. Neither conclusion I nor II follows.
3. Only conclusion I follows.
4. Only conclusion II follows.
Q.6 Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even
if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the
statement(s).
Statements:
No teacher is a male.
No male is an Engineer.
Conclusions:
I. No teacher is an Engineer.
II. Some male are teachers.
Ans 1. Neither conclusion I nor II follows.
2. Both conclusions I and II follow.
3. Only conclusion II follows.
4. Only conclusion I follows.
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