Indian Institute of Management – Bangalore (IIM-B) conducted the CAT 2016 on December 4^{th}, 2016. Candidates can check the CAT 2016 Question Paper Analysis to know the detailed sectional analysis of the paper.
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CAT 2016 Question Paper (Memory Based):
CAT 2016 Question Paper |
CAT 2016 Solutions |
Click on the CAT Question Papers to get the previous year CAT questions along with their detailed solutions. Some important CAT questions from previous years are also given below with their solutions to acquaint the students with the type and level of the questions asked in the CAT exam.
Quantitative Aptitude:
Q1) A wooden box (open at the top) of thickness 0.5, length 21, width 11 and height 6is painted on the inside. The expenses of the painting are Rs. 70. What is the rate of painting?
(a) Re 0.7
(b) Re 0.5
(c) Re 0.1
(d) Re 0.2
Solution:
The total area to be painted=530 cm2.
Rate of painting=70/530=0.13=Re 0.1 per sq.cm.
Answer:(c)Re 0.1
Q2) Akash was to calculate the arithmetic mean of 10 positive integers, each of which had 2digits. He interchanged the 2 digits – a and b, in one of these 10 integers. As a result, his answer for the arithmetic mean was 1.8 more than what it should have been. Then b–a equals 1?
Solution: Arithmetic mean is more by 1.8 means sum is more by 18. So, ba–ab = 18 b>a because sum has gone up, e.g. 31–13=18 Hence, b–a=2.
Q3)The set of all positive integers is the union of two disjoint subsets: {f(1),f(2),…,f(n),…}and {g(1),g(2),…,g(n),…},where f(1)< f(2)<…< f(n)…and g(1)< g(2)<…< g(n)… and g(n)=f(f(n))+1 for all n≥1.
What is the value of g(1)?
(a) 0
(b) 2
(c) 1
(d) Undeterminable
Solution:g(1)= f[f(1)]+1=2
Answer: (b) 2.
Q4) Instead of a meter scale, a cloth merchant uses a 120cm scale while buying but uses an 80cm scale while selling the same cloth. What’s his overall profit percentage?
(a) 50%
(b) 25%
(c) 40%
(d) 15%
Solution: If Shopkeeper buys 120m and pays the only 100m. Same while selling he sells 80m instead of 100m. Gain=40/80=50%
Answer: (a) 50%.
Q5) From a circular sheet of paper with a radius 20cm, four circles of radius 5cm each is cut out.
What is the ratio of the uncut to the cut portion?
(a) 1:3
(b) 4:1
(c) 3:1
(d) 4:3
Solution: The ratio of the area of a small circle to big circle is 1:16. Total 4 small circles are (cut area) to big circles area(uncut) ratio is 4:16 = 1:4. Therefore the uncut to cut will be 3:1
Answer: (c) 3:1
Data Interpretation and Logical Reasoning:
Q1) Y is in the east of X, which is in the north of Z. If P is in the south of Z, then in which direction of Y, is P?
(a)North
(b)South
(c)South-East
(d)None
Solution:
Answer: (c) South-West.
(For Questions 2-5)In the following table R-index=highest score-lowest score; M-index=middle number.
Player | Pakistan | South Africa | Australia |
Yuvraj’s Runs | 40 | 87 | |
Virender’s Runs | 130 | ||
Kaif’s Runs | 28 | 51 | |
Saurav’s Runs | 75 | 50 | |
Rahul’s Runs | 49 | 55 | |
Score Percentage(%) | 90 | 70 | 80 |
Q2) For how many Indian players is it possible to calculate the exact M-index?
(a) 0
(b) 1
(c) 2
(d) More than 2
Q3)Among the players mentioned, who can have the lowest R-index from the tournament?
(a) Only Kaif, Rahul or Yuvraj
(b) Only Kaif or Rahul
(c) Only Kaif or Yuvraj
(d) Only Kaif
Q4) How many players among those listed scored less than Yuvraj in the tournament?
(a) 0
(b) 1
(c) 2
(d) More than 2
Q5)Which of the players had the best M-index from the tournament?
(a) Rahul
(b) Saurav
(c) Virender
(d) Yuvraj
Solution:
Player | Pakistan | South Africa | Australia |
Y | 40 | <49 | 87 |
V | 130 | <49 | <48 |
K | 28 | 51 | <48 |
S | <22 | 75 | 50 |
R | <22 | 49 | 55 |
Top 3 | 198 | 175 | 192 |
Total | 220 | 250 | 240 |
Answers:
Q2: (c) 2
Q3: (a) Only Kaif, Rahul or Yuvraj
Q4: (b) 1
Q5: (b) Saurav
Verbal Aptitude and Reading Comprehension:
Q1) Rajeev failed in the examination because none of her answers was _______ to the questions asked.
(a)Allusive
(b)Revealing
(c)Pertinent
(d)Referential
Answer: (c)
Q2)To make a clean breast of:
(a)To gain prominence
(b)To praise oneself
(c)To confess without reserve
(d)None
Answer: (c)
Q3) To keep one’s temper:
(a) To become hungry
(b) To be in good mood
(c) To be aloof from
(d) None
Solution: (b)
Q4) Synonym of Garrulity
(a) Credulity
(b) Senility
(c) Loquaciousness
(d) Spaciousness
Solution: (c)
Q5)Antonym for Capacious
(a) Limited
(b) Caring
(c) Foolish
(d) Changeable
Solution: (a)
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