ARITHMETIC AND MENTAL ABILITY
ARITHMETIC AND MENTAL ABILITY TOPICS
(These syllabus may change from time to time. Please check with the relevant Public Service Commission websites for any changes in the syllabus)

RECOMMENDED BOOKS:
1. SSC MTS General Intelligence Success Master Course  2017 2. CLAT Study Kit (Legal Reasoning, English, Logical Reasoning, Mathematics and Legal Awareness & General Knowledge) 3. Analytical Reasoning Paperback – 2009 by M. K. Pandey (Author) 4. CAMPUS 500  Quantitative Aptitude for Company Recruitment Exams Paperback – 2015 by Atul Bhargava (Author)

1. The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
Ans: A
2. Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today. Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king’s greatness, as we know him today, is interpreted by historians.
Ans: D
3. Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Ans: B
4. Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
Ans: C
5:Average of first four even multiple of 3 is
A:15
B:16
C:21
D:12
Ans: A
6:3`xx`14÷2 of 7 = ?
A:21
B:147
C:98
D:3
Ans: D
7:If 8 men or 12 women can do a piece of work in 25 days then in how many days can 6 men and 11 women do the same piece of work ?
A:10
B:15
C:18
D:21
Ans: B
8:A fractional number lies between `(1)/(3)` and `(3)/(4)` is
A:Greater than 1
B:Equal to 1
C:Less than 1
D:None
Ans: C
(A) 39 (B) 57 (C) 66 (D) 93
Ans: A
2. Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today. Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king’s greatness, as we know him today, is interpreted by historians.
Ans: D
3. Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Ans: B
4. Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
Ans: C
5:Average of first four even multiple of 3 is
A:15
B:16
C:21
D:12
Ans: A
6:3`xx`14÷2 of 7 = ?
A:21
B:147
C:98
D:3
Ans: D
7:If 8 men or 12 women can do a piece of work in 25 days then in how many days can 6 men and 11 women do the same piece of work ?
A:10
B:15
C:18
D:21
Ans: B
8:A fractional number lies between `(1)/(3)` and `(3)/(4)` is
A:Greater than 1
B:Equal to 1
C:Less than 1
D:None
Ans: C
9:A shopkeeper sold 16 chairs at the cost price of 10 chairs. Find his loss or gain percent.
A:10% loss
B:10% gain
C:60% loss
D:60% gain
Ans: C
10:If A:B = 2:3 and B:C = 5:6 then A:B:C is
A:2:3:6
B:2:8:6
C:8:12:15
D:10:15:18
Ans: D
11:(5°4°)×(5°+4°) = ?
A:0
B:`1`
C:2
D:9
Ans: A
12:A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid ?
A:250
B:450
C:300
D:400
Ans: B
13:What percent of 158000 is 4740 ?
A:1%
B:5%
C:10%
D:3%
Ans: D
14:If a man goes to a place at an average speed of 10 km/h and then returns at the average speed of 15 km/h. If he takes 10 hrs. in all. Find the total distance covered by him.
A:120 km
B:125 km
C:130 km
D:150 km
Ans: A
15:Find the missing term.
E3M, H7J, K15G, N31D, ?
A:Q65A
B:Q63A
C:P63A
D:Q63Z
Ans: B
16:If × means +, + means ÷, ÷ means –, – means × then what is 8×2–3÷10+5
A:12
B:15
C:10
D:18
Ans: A
17:Find odd man out : 14, 21, 28, 34, 42, 49
A:21
B:28
C:34
D:42
Ans: C
18:If in a code language CLERK is codded as AHYJA then JOB is coded as
A:HKW
B:HKU
C:HKV
D:HLW
Ans: C
19:January 1, 2008 is Tuesday. What day of the week lies on January 1, 2009 ?
A:Wednesday
B:Tuesday
C:Monday
D:Thursday
Ans: D
20:Rahul traveled 8 km straight towards South. He turned left and traveled 12 km straight. Then turned right and traveled 8 km straight. How far is he from the starting point ?
A:16 km
B:20 km
C:24 km
D:18 km
Ans: B
21:'Fly' is related to 'Parrot' in the same way 'Creep' is related to what ?
A:Snake
B:Rabbit
C:Fish
D:Crocodile
Ans: A
22:Pointing to a woman, a man said, "Her father is the only son of my father". How is the man related to the woman ?
A:Brother
B:Grandfather
C:Father
D:Son
Ans: C
23:An accurate clock shows 10 O' Clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 4 O' Clock in the afternoon ?
A:144°
B:150°
C:169°
D:180°
Ans: D
24:Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number.
A:10
B:4
C:17
D:15
Ans: B
A:10% loss
B:10% gain
C:60% loss
D:60% gain
Ans: C
10:If A:B = 2:3 and B:C = 5:6 then A:B:C is
A:2:3:6
B:2:8:6
C:8:12:15
D:10:15:18
Ans: D
11:(5°4°)×(5°+4°) = ?
A:0
B:`1`
C:2
D:9
Ans: A
12:A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid ?
A:250
B:450
C:300
D:400
Ans: B
13:What percent of 158000 is 4740 ?
A:1%
B:5%
C:10%
D:3%
Ans: D
14:If a man goes to a place at an average speed of 10 km/h and then returns at the average speed of 15 km/h. If he takes 10 hrs. in all. Find the total distance covered by him.
A:120 km
B:125 km
C:130 km
D:150 km
Ans: A
15:Find the missing term.
E3M, H7J, K15G, N31D, ?
A:Q65A
B:Q63A
C:P63A
D:Q63Z
Ans: B
16:If × means +, + means ÷, ÷ means –, – means × then what is 8×2–3÷10+5
A:12
B:15
C:10
D:18
Ans: A
17:Find odd man out : 14, 21, 28, 34, 42, 49
A:21
B:28
C:34
D:42
Ans: C
18:If in a code language CLERK is codded as AHYJA then JOB is coded as
A:HKW
B:HKU
C:HKV
D:HLW
Ans: C
19:January 1, 2008 is Tuesday. What day of the week lies on January 1, 2009 ?
A:Wednesday
B:Tuesday
C:Monday
D:Thursday
Ans: D
20:Rahul traveled 8 km straight towards South. He turned left and traveled 12 km straight. Then turned right and traveled 8 km straight. How far is he from the starting point ?
A:16 km
B:20 km
C:24 km
D:18 km
Ans: B
21:'Fly' is related to 'Parrot' in the same way 'Creep' is related to what ?
A:Snake
B:Rabbit
C:Fish
D:Crocodile
Ans: A
22:Pointing to a woman, a man said, "Her father is the only son of my father". How is the man related to the woman ?
A:Brother
B:Grandfather
C:Father
D:Son
Ans: C
23:An accurate clock shows 10 O' Clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 4 O' Clock in the afternoon ?
A:144°
B:150°
C:169°
D:180°
Ans: D
24:Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number.
A:10
B:4
C:17
D:15
Ans: B
25:If 15 apples and 20 oranges cost as much as 20 apples and 15 oranges, which of the following conclusions is correct.
A:Orange and apples have identical prices
B:Orange's price is double that of apple
C:Non conclusion can be drawn
D:Apple is cheater than orange
Ans: A
26:In a class, Ann's rank is `15^(th)` from the top and`21^(th)` from the bottom. How many students are there in the class ?
A:31
B:36
C:35
D:None of these
Ans: C
27:If P is the husband of Q and R is the mother of S and Q. What is R to P ?
A:Mother
B:Sister
C:Aunt
D:Mother in law
Ans: D
28:If BOY is Coded as ACNPXZ, what would be the code for LIFE ?
A:KMHJEGDF
B:LMGHEGDF
C:LMHJGEFD
D:None of these
Ans: A
29:A, B, C, D and E are 5 Boys, A is shorter than B, but longer than E. C is the longest and D is little shorter than B and a little longer than A which comes in the middle according to size
A:A
B:B
C:C
D:D
Ans: D
30:If the following members are written in the ascending order, then what will be the middle digit of the middle term ?
815, 686, 795, 835, 765, 822, 719
A:8
B:1
C:3
D:9
Ans: D
31:In an examination 40% of the students fail in Math's, 30% in English and 15% in both. Find the pass percentage
A:50%
B:65%
C:30%
D:45%
Ans: D
32:What angle will the two hands of a clock make at 6.20 a.m. ?
A:60°
B:70°
C:75°
D:45°
Ans: B
33:Facing to South Juan turns in certain ways, which of the following turns will not lead him to the same side ?
A:left, left, right, left, left, right
B:left, left, left, right, right, right
C:left, right, left, right, left, right
D:right, left, right, left, right, left
Ans: A
A:Orange and apples have identical prices
B:Orange's price is double that of apple
C:Non conclusion can be drawn
D:Apple is cheater than orange
Ans: A
26:In a class, Ann's rank is `15^(th)` from the top and`21^(th)` from the bottom. How many students are there in the class ?
A:31
B:36
C:35
D:None of these
Ans: C
27:If P is the husband of Q and R is the mother of S and Q. What is R to P ?
A:Mother
B:Sister
C:Aunt
D:Mother in law
Ans: D
28:If BOY is Coded as ACNPXZ, what would be the code for LIFE ?
A:KMHJEGDF
B:LMGHEGDF
C:LMHJGEFD
D:None of these
Ans: A
29:A, B, C, D and E are 5 Boys, A is shorter than B, but longer than E. C is the longest and D is little shorter than B and a little longer than A which comes in the middle according to size
A:A
B:B
C:C
D:D
Ans: D
30:If the following members are written in the ascending order, then what will be the middle digit of the middle term ?
815, 686, 795, 835, 765, 822, 719
A:8
B:1
C:3
D:9
Ans: D
31:In an examination 40% of the students fail in Math's, 30% in English and 15% in both. Find the pass percentage
A:50%
B:65%
C:30%
D:45%
Ans: D
32:What angle will the two hands of a clock make at 6.20 a.m. ?
A:60°
B:70°
C:75°
D:45°
Ans: B
33:Facing to South Juan turns in certain ways, which of the following turns will not lead him to the same side ?
A:left, left, right, left, left, right
B:left, left, left, right, right, right
C:left, right, left, right, left, right
D:right, left, right, left, right, left
Ans: A
34:Ram's present age is onefourth of his father's present age. If the difference between their present ages is 18 years, then what is Ram's present age ?
A:10 Years
B:8 Years
C:6 Years
D:12 Years
Ans: C
35:In an examination, a candidate scores 2 marks for every correct answer and losses 1 mark for every wrong answer. A candidate attempts all the 100 s and scores 56 marks. How many s did he answer correctly ?
A:52
B:48
C:60
D:56
Ans: A
36:By selling an umbrella for Rs. 300 a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the market price. Find his gain percent during the sale season.
A:4%
B:8%
C:20%
D:6%
Ans: B
37:In a bag, there are coins of 50 paise, 25 paise and 1 Rupee in the ratio of 5 : 6 : 2. If there are in all Rs. 48 in the bag. How many coins if Rs. 50 paise do the bag have ?
A:42
B:16
C:48
D:40
Ans: D
38:The 14th term of the series 1, 3, 6, 10, 15, ........... is
A:105
B:110
C:115
D:124
Ans: A
A:10 Years
B:8 Years
C:6 Years
D:12 Years
Ans: C
35:In an examination, a candidate scores 2 marks for every correct answer and losses 1 mark for every wrong answer. A candidate attempts all the 100 s and scores 56 marks. How many s did he answer correctly ?
A:52
B:48
C:60
D:56
Ans: A
36:By selling an umbrella for Rs. 300 a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the market price. Find his gain percent during the sale season.
A:4%
B:8%
C:20%
D:6%
Ans: B
37:In a bag, there are coins of 50 paise, 25 paise and 1 Rupee in the ratio of 5 : 6 : 2. If there are in all Rs. 48 in the bag. How many coins if Rs. 50 paise do the bag have ?
A:42
B:16
C:48
D:40
Ans: D
38:The 14th term of the series 1, 3, 6, 10, 15, ........... is
A:105
B:110
C:115
D:124
Ans: A