AMCAT Quantitative ability Papers 2015 with Answers

Quantitative Ability Question Paper 2015

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1) Find the number to be multiplied by (-6)^-1. so as to get (-8)^-1 as the product?

a) 3/4

b) -(3/4)

c) 4/3

d) -(4/3)

2) Abu company provides taxi for call center employees. The company has 7 Taveras. 5 Qualis. 6 Innovas and few small cars. If Tavera makes one fourth of the total fleet, how many small cars are there in the company?

a) 12

b) 7

c) 6

d) 10

3) If log5 = 0.69897, find the value of log500.

a) 2.7

b) 2.6

c) 1.7

d) 1.6

4) (17³ * 17^5/2 * (173)^3/2) * (17⁵)^3/35 * (17⁶)^1/7)^-1=

a) 17^51/7

b) 17^43/7

c)175

d)1

5) What is the value of the expression 3√(√(0.000729))?

a) 0.03

b) 0.3

c) 3

d) 0.27

e) 0.027

6) A written exam consists of 6 questions with the answer options as yes/no/none. In how many ways can the examinees select the answers? 

a) ⁶P₃ ways

b) ⁶C₃ ways

c) ³C₁. ³C₁. ³C₁. ³C₁.³C₁

d) (³C₁)6

7) The LCM of  2⁶ x 3² x 5 x 7.2³ x 3⁵ x 7 and 2 x 3⁴ x 5 is

a) 2⁶ x 3⁵

b) 2⁶ x 3⁵ x 5

c) 2⁶ x 3⁵ x 7

d) 2⁶ x 3⁵ x 5 x 7

8) Which number should be subtracted from 321 so that it becomes prime?

a) 2

b) 4

c) 6

d) 9

9) In how many ways can the team members be arranged for the team picture if all the males are always together and if the team comprises of 7 males and 6 females?

a) 13!

b) 7! 7!

c) 7! 6!

d) 141

10) What is the value of (3³ * 81² * 2⁰)/9⁵?

a) 0

b) 3

c) 1/3

d) None of the above

11) Write 4.004 as a fraction of the lowest form.

a) 500/125

b) 2002/500

c) 1001/250

d) 500/225

12)  A seller buys 10 phone chargers for Rs. 800 and sells them at the rate of Rs. 100 per charger. His gain percent is:

a) 0.25

b) 0.2

c) 0.3

d) 0.15

13) The velocity of water flowing over a water fall is 12 m/sec. After going over the fall the water slows to 6 m/sec in 3 seconds. What is the acceleration of water?

a) 5 m/s²

b) 2 m/s²

c) (-) 5 m/s²

d) (-) 2 m/s²

14) There are 5 letters and 5 addressed envelopes. The number of ways in which all the letters can be put in wrong envelopes are?

a) 119

b) 44

c) 59

d) 40

15) Body and Soul Gym Centre sells its brand new treadmill on an online bidding site at a profit of 20%. Had the centre sold the treadmill for Rs. 500 more, the profit would have been 25%. How much did the treadmill cost the gym centre when they had bought it initially?

a) Rs. 5,000

b) Rs. 6,000

c) Rs. 10,000

d) Rs. 15,000

16) A real estate developer purchased 2 acres of land for Rs. 1.5 crore. He divided it into 25 residential plots. He sold them at Rs. 25 lakhs per plot. What is his profit percentage?

a) About 200%

b) About 100%

c) About 366%

d) About 316%

17) Which of the following numbers is divisible by 6?

a) 4322

b) 3142

c) 2256

d) 1640

18) There are Red, Yellow and Green marbles in a jar. How many marbles are Yellow in color?

Given:

A. Probability of finding a Red marble is the same as that of a Green marble but is double that of finding a Yellow marble 

B. There are 6 Green marbles in the jar.

a) If the question can be answered by using statement A alone but not by using B alone

b) If the question can be answered by using statement B alone but not by using A alone

c) If the question can be answered by using statements alone

d) If the question can be answered by using both the statements but not by either statement alone.

19) What is the LCM of 3,2.7 and .09?

a) 0.27

b) 2.7

c) 27

d) 2700

20) Simplify the expression 7log5 p + √3/2 log5 q - 1/2 log5 2r

a) log5 p⁷ + q^(√3)/2 - (√2)(√r)

b) log5 (p⁷ + q^(√3)/2)/r

c) ln p⁷ . q^(√3/2)/((√2)(√r))

d) log5 p⁷ . q^(√3/2)/((√2)(√r))

21) Paul can complete a project in 6 days. With the help of an intern, he can do it in 4 days. In what time can the intern complete the project alone?

a) 6 days
b) 6 ¹/₄ days
c) 12 days
d) 12 ¹/₂ days

22) What is the percentage incurred by a company when it buys an assest for Rs. 1,50,000 and sells it for Rs. 75,500?

a) 49.67%
b) 49.34%
c) 98.68%
d) 98.34%

23) Probability of one of the power plants over heating is 0.15 per day and the probability of failure of the backup cooling system is 0.11. If these events are independent, what is the probability of 'big trouble'(i.e. both events taking place)?

a) 0.35
b) 0.0185
c) 0.0165
d) 0.26


24) A question paper consists of 4 sections with 7 questions in each section. A candidate has to select 2 sections and has to solve 9 questions choosing at least 3 from each of the selected sections. In how many ways can he answer the paper?

a) 80
b) 440
c) 792
d) 1320

25) Evaluate log5 (17/10)

a) log5 17 - log5 10
b) log5 7
c) log5 17-1
d) log5 17/log5 10
e) log17 - 2

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