GATE Mock Test Mechanical Engineering (ME) - 1 - Mechanical Engineering MCQ

(ACTION AND PURPOSE) One slices a cake before eating: one carves a turkey before cooking.

42 = 7²−7
72 = 9²−9
110 = 11²−11
152 = 12²+8
Except 152, others show the trend x²−x.

Let original price = p, and original sales = s.
Therefore, original gross receipts = ps.
Let new price = 0.80p, and new sales = 1.15s.
Therefore, new gross receipts = 0.92ps.
Gross receipts are only 92% of what they were.
Hence, gross receipts decrease by 8%.

This is a case of mixed series

3 + 3 = 6

6 x 4 = 24

24 + 5 = 29

29 x 6 = 174

174 + 7 = 181

∴ The missing number is 181

Ratio = The no. of persons who hove exactly two characteristics/The no. of persons who have exactly only one characteristics = 61/22

Dist covered by a wheel in 1 rev

= Circumference of the wheel

= 2πr

= 2 x 22/7 x 1.5

∴ Time taken to cover the distance = 560/28

= 20 min

The correct answer is the first option as it is stated in the passage that most Reality TV shows centre on two common motivators: fame and money.

Choices 2 and 4 are not supported by the passage because passage is about Reality TV stars and not Reality TV.

Choice 3 is incorrect because the paragraph states that some Reality TV stars manage to parlay their fifteen minutes of fame into celebrity.

5 consecutive integers → n, n+1, n+ 2, n+3, n+4

As the series in AP, the middle term is average

∴ m = n+2

6 consecutive integers starting with (n+2)

→ (n+2), (n+3), (n+4), (n+5), (n+6), (n+7)

Average of 6 consecutive integers

= Average of 1^st and last terms

Since fuel consumption/litre is asked and not total fuel consumed, only average speed is relevant. Maximum efficiency comes at 45 km/hr. So, least fuel was consumed per litre in lap Q.

Colburn analogy

Let

This limit does not exist as tan(x/2) does not approach any value

The compression ratio of diesel engine ranges between 14 to 25 whereas for S.I. engine, it ranges between 6 to 12.
Diesel Engine gives more power but efficiency of diesel engine is less as compared to the S.I. engine for same compression ratio.

Full mold casting is an evaporative pattern casting process which is a combination of sand casting and lost foam casting. It uses an expanded polystyrene foam pattern which is then surrounded by sand, much like sand casting. The metal is then poured directly into the mold, which vaporizes the foam upon contact. This casting process is advantageous for very complex castings, that would regularly require cores. It is also dimensionally accurate, requires no draft and has no parting lines so no flash is formed.

∴ Size of NO - GO gauge = upper limit of hole

= 42.0 + 0.2

= 42.2 mm

4-Bar Mechanism;

• Quadric cycle chain → Ackermann steering
• Single slider crank chain → Oscillating cylinder engine mechanism
• Double slider crank chain → Oldham coupling
• Crossed slider crank chain →Rapson's slide

Disadvantages of ECM:

• Use of corrosive media as electrolytes makes it difficult to handle
• Sharp interior edges and corners (< 0.2 mm radius) are difficult to produce
• Very expensive machine
• Forces are large with this method because of fluid pumping forces
• Very high specific energy consumption (about 150 times that required for conventional process)
• Not applicable with electrically non-conducting materials and jobs with very small dimensions
• Lower fatigue strength

Characteristics of Pelton wheel

• Impulse turbine
• High head turbine (300 - 2000 m)
• Low specific discharge turbine
• Axial flow turbine
• Low specific speed turbine( 4 - 70 rpm)

Characteristic of Francis turbine

• Reaction turbine
• Medium head turbine (30 - 500 m)
• Medium specific discharge
• Radial flow turbine, but modern francis turbine are mixed flow turbine.
• Medium specific speed turbine (60 m - 400 rpm)

Characteristic of Kalpan turbine

• Reaction turbine
• Low head turbine(2 m - 70 m)
• High specific discharge
• Axial loading
• High specific speed (300 - 1100 rpm)

Method B is not favourable to prevent boundary layer separation. However, if slots are provided at the leading edge, then boundary layer separation may be avoided.

= 1/3

⇒ Discriminant of p'(s) < 0.

⇒ p(s) will have exactly one real root.

Integrating on both sides, we get

Residue of (z² x e^1/z) at z = 0 is equal to the constant term in the expansion of z(z² x e^1/z)

Constant term = 1/6 = 0.167

Here h = 1, the trapezoidal rule is