Architecture and Planning
GATE AR topic:quantitative-aptitude PYQs
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How to practice topic:quantitative-aptitude
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Questions 1–10 of 49. Imported answers require independent review unless marked reviewed.
Question 2
Open questionGAMCQ1 markNeeds review
The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is ______
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
Consider two distinct positive real numbers
, with
. Let
and
. The relation between
and
is ______.Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20. Ignoring permutations, the number of ways to pick these five integers is _____.
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
,
,
,
,
, and
are distinct single-digit whole numbers taking values from 0 to 9.
is a two-digit number with
being in the units place and
in the tens place. Similarly,
is a two-digit number. It is known that
and
are consecutive numbers and
, with
being a three-digit number. The value of
is __________.Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
In the given figure,
,
, and
are three points on a circle of radius 10 cm with
as its center,
, and
. The figure is representative. The area of the shaded region
is ______________ cm
. 
Your answerChoose one option.
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Open questionAR-B2NAT1 markNeeds review
In a particular year, the status of Consolidated Funds of India is shown in the table below. For the given data, the fiscal deficit of that year (Rupees in crores) is ____________ (in integer).
Consolidated Funds of India | | | |
|---|---|---|---|
Receipt | Amount (Rupees in Crores) | Expenditure | Amount (Rupees in Crores) |
Revenue | 2,65,279 | Revenue | 3,75,582 |
Non-debt capital receipt | 3,646 | Capital | 31,295 |
Recovery of loans and advances | 20,733 | Disbursement of loans and advances | 38,614 |
Public debt | 4,36,689 | Public debt repayment | 3,21,725 |
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Open questionGAMCQ1 markNeeds review
Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The ceiling function of a real number
, denoted by
, is defined as the smallest integer that is greater than or equal to
. Similarly, the floor function, denoted by
, is defined as the largest integer that is smaller than or equal to
. Which one of the following statements is NOT correct for all possible values of
?Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches.
If they play 3 more matches, what is the probability of P win exactly 2 of these 3 matches?
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from companies S and T to be 0.8 and 0.6, respectively. Let
be the probability that she receives job offers from both the companies. Select the most appropriate option.Your answerChoose one option.
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