GATE ME kind:question PYQs & Answers — Page 7

Questions 61–70 of 1040. Imported answers require independent review unless marked reviewed.

The inventory holding cost of an item is ₹ 0.50 per unit per month and the ordering cost per order is ₹ 550. A stockist needs to supply 1000 units of the item per year to the customers. Assume demand is fixed and shortage cost is infinite. Using classical economic order quantity (EOQ) model, the optimal lot size is ________ units per order (rounded off to nearest integer).

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A metal has FCC crystal structure with 2.71 g/cm

density and 26.98 g/mol of atomic weight. The Avogadro’s number is 6.023 × 10

. The atomic radius of the metal is ________ nm (rounded off to 2 decimal places).

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During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut chip thickness is 0.23 mm. The shear angle, tangential force component, and radial force component are 20°, 800 N, and 150 N, respectively. The value of shear force is ________ N (rounded off to 2 decimal places).

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A drill bit during its lifetime can produce 150 through holes in a plate at a drill-speed of 200 RPM. If the drill-speed increases to 300 RPM, then it can produce 60 through holes in the same plate before the drill bit fails. Assume all other parameters remain constant. The value of the exponent in Taylor’s tool life equation is ________ (rounded off to 2 decimal places).

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The activities of a PERT network and their corresponding activity time estimates (in weeks) i.e., optimistic (

), most likely (

), and pessimistic (

) are given in the table below.

Activity
1–2	2	4	12
1–3	2	4	6
1–4	3	4	11
2–5	3	6	9
3–4	2	5	14
3–5	3	3	3
4–5	3	6	15
5–6	2	5	8

The expected project length is ________ weeks (in integer).

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Fish : Shoal :: Lion : ______

Select the correct option to complete the analogy.

Your answerChoose one option.

Pride

School

Forest

Series

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Identify the grammatically correct sentence:

Your answerChoose one option.

It is I who am responsible for this fiasco.

It is myself who is responsible for this fiasco.

It is I who is responsible for this fiasco.

It is I who are responsible for this fiasco.

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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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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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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 winning exactly 2 of these 3 matches?

Your answerChoose one option.

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GATE ME kind:question PYQs

Question 61

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