AMCAT Mock Paper | Quantitative Aptitude 4

This is an AMCAT model paper for Quantitative Aptitude. This placement paper will cover aptitude that is asked in AMCAT exams and also strictly follows the pattern of questions asked in AMCAT papers. It is recommended to solve each one of the following questions to increase your chances of clearing the AMCAT Exam.

If f(x) = e^x and g(x) = log_ex, then what is the value of {f of g(x)}?
1. x
2. e^x
3. log^ez
4. Cannot be determined
Answer:
```
x
```
Find the value of log(sqrt(16))/log 16
1. 0
2. 1/2
3. 3/2
4. 1
Answer:
```
1/2
```
In how many ways can 7 members of the content team, 5 members of the R&D team, 3 members of HR and 2 members of the sales team be allotted workstations in a row so that all employees of the same team sit together?
1. 12! * 5!
2. 7*5*3*2
3. 7!*5!*3!*2!
4. 7!*5!*4!*3!*2!
5. 17!
Answer:
```
7!*5!*4!*3!*2!
```
A group of 6 is to be made out of 8 girls and 6 boys. What is the probability that exactly 3 boys are selected?
1. (⁸C₃ * ⁶C₃)/¹⁴C₆
2. ⁸C₃/¹⁴C₆
3. 3/4
4. 1/2
Answer:
```
(⁸C₃ * ⁶C₃)/¹⁴C₆
```
How many three digits numbers can be formed using 2, 3, 4 and 5 with the digits being repeated?
1. 216
2. 256
3. 400
4. 120
5. 64
Answer:
```
64
```
What is the value of square of 4 1/2, when it is expressed as a mixed fraction?
1. 9/4
2. 8 1/4
3. 19 5/4
4. 21 5/4
Answer:
```
19 5/4
```
If a = 0.24 and b = 1.76, then compute the following expression.
a⁴ + 4ab³ + 6(a²)(b²) + 4ab³ + b⁴
1. 1.52
2. 4
3. 1
4. 2
5. 16
Answer:
```
16
```
The correct value of log₅25 – log₇49 is
1. 0
2. 1
3. -1
4. 2
Answer:
```
0
```
In how many ways Arthi, Pooja, Mona and Payal can stand in a queue
1. 120
2. 5
3. 24
4. 150
Answer:
```
24
```
Find the remainder when 2²¹ is divided by 6.
1. 0
2. 1
3. 2
4. 3
Answer:
```
2
```
Evaluate: (4.56³ + 5.44³) / (4.56² – 4.56 * 5.44 + 5.44²)
1. 0.88
2. -0.88
3. 1
4. 10
Answer:
```
10
```
One third of a two digit number exceeds its one fourth by 7. What is the sum of the digits of the number?
1. 72
2. 84
3. 15
4. 12
Answer:
```
12
```
What is the least number that should be subtracted from 3592 to obtain a number exactly divisible by 19?
1. 0
2. 1
3. 2
4. 3
Answer:
```
1
```
Find the smallest number which when divided by 24, 30, 48 and 60, leaves a remainder 2 in each case
1. 238
2. 242
3. 8
4. 4
Answer:
```
242
```
What is the smallest number that should be divided by 10500 to make it a perfect cube?
1. 4
2. 84
3. 12
4. 21
Answer:
```
84
```
20 men can do a job in 10 days, working 8 hours a day. If women are 33.33% more efficient than men, how many women will it take to finish the same job in 10 days working 6 hours a day?
1. 10
2. 12
3. 15
4. 16
5. 20
Answer:
```
20
```

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