GATE AE format:mcq PYQs & Answers — Page 7

Questions 61–70 of 326. Imported answers require independent review unless marked reviewed.

Topic practice 326 questionsPage 7 of 33

An ideal two-stage rocket has identical specific impulse and structural coefficient for its two stages. For an optimized rocket, the two stages have identical payload ratio as well. The payload is 2 tons and the initial mass of the rocket is 200 tons. The mass of the second stage of the rocket (including the final payload mass) is ____ tons.

Your answerChoose one option.

100

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A gaseous fuel mixture comprising 3 moles of methane and 2 moles of ammonia is combusted in X moles of pure oxygen in stoichiometric amount. Assuming complete combustion, with only CO

, H

O and N

in the product gases, the value of X is ____. The displayed reaction is: 3 CH

+ 2 NH

+ X O

→ Products (CO

, H

O, N

Your answerChoose one option.

7.5

5.5

8.5

9.5

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A lifting surface has a spanwise circulation distribution of

(where

) over its span

, and

is the spanwise coordinate. Furthermore, the downwash varies along the span as

, where

is the free stream velocity. Which one of the following options represents total lift (

) and induced drag (

Your answerChoose one option.

and

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A 1 m long rod is to be designed to support an axial tensile load

(

weight of the rod). The material for the rod is to be chosen from one of the four provided in the table. Using strength-based failure criterion for design, which material results in the lowest weight of the rod?

Properties	Material α	Material β	Material γ	Material δ
Density (kg/m )	2700	450	780	900
Young’s modulus (GPa)	70	115	200	130
Yield Strength (MPa)	270	900	520	540

Your answerChoose one option.

Material α

Material β

Material γ

Material δ

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If ‘→’ denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ______ ]. Which one of the given options is appropriate to fill the blank?

Your answerChoose one option.

starve

reject

feast

deny

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If two distinct non-zero real variables

and

are such that

is proportional to

then the value of

Your answerChoose one option.

depends on

depends only on

and not on

depends only on

and not on

is a constant

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Consider the following sample of numbers:

9, 18, 11, 14, 15, 17, 10, 69, 11, 13

The median of the sample is

Your answerChoose one option.

13.5

18.7

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The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

Your answerChoose one option.

21%

10%

30%

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For positive non-zero real variables

and

, if

, then, the value of

Your answerChoose one option.

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In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.

Steve was advised to keep his head (i) ______ before heading (ii) ______ to bat; for, while he had a head (iii) ______ batting, he could only do so with a cool head (iv) ______ his shoulders.

Your answerChoose one option.

(i) down (ii) down (iii) on (iv) for

(i) on (ii) down (iii) for (iv) on

(i) down (ii) out (iii) for (iv) on

(i) on (ii) out (iii) on (iv) for

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GATE AE format:mcq PYQs

Question 32

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Question 36

Question 37

Question 1

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Question 6