# Numerical Ability [GATE (Graduate Aptitude Test in Engineering) Aptitude]: Questions 83 - 86 of 103

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## Question 83

Numerical Ability

Appeared in Year: 2021

### Question

MCQ▾

IF . Then, the value of , is ________.

### Choices

Choice (4)Response

a.

0

b.

1

c.

4

d.

16

## Question 84

Numerical Ability

Appeared in Year: 2019

### Question

MCQ▾

The police arrested four criminals – P, Q, R and S. The criminals knew each other. They made the following statements:

P says “Q committed the crime.”

Q says “S committed the crime.”

R says “I did not do it.”

S says “What Q said about me is false.”

Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?

### Choices

Choice (4)Response

a.

P

b.

R

c.

S

d.

Q

## Question 85

Numerical Ability

Appeared in Year: 2019

### Question

MCQ▾

Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay ₹ 150 more. The cost of the gift was ₹ ________.

### Choices

Choice (4)Response

a.

6000

b.

3000

c.

666

d.

12000

## Question 86

Numerical Ability

Appeared in Year: 2019

### Question

MCQ▾

In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of ________.

### Choices

Choice (4)Response

a.

46 to 60

b.

16 to 30

c.

31 to 45

d.

0 to 15

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