Logic and Problem Solving for Engineers - TEE Dec2023

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Questions and Answers

Which of the following is not a type of resume?

Special

What is the angle between the hands of the clock at 6:15 p.m.?

97.5°

How many times will the hands of a clock coincide in a day?

22

At what time between 3:00 p.m. and 4:00 p.m. will the hands of a clock be in a straight line?

<p>3:49(1/11) p.m</p> Signup and view all the answers

How many prime numbers exist in $4^6 \times 15^7 \times 13^{10}$?

<p>36</p> Signup and view all the answers

$100^{25} - 7$ is divisible by ____________.

<p>3</p> Signup and view all the answers

What day of the week is November 1st, 1986?

<p>Friday</p> Signup and view all the answers

In the expression P % Q + R - S, Q is in which direction with respect to S?

<p>North-East</p> Signup and view all the answers

How far is Surya now from point P?

<p>7 feet</p> Signup and view all the answers

How many small cubes are there whose only one face is coloured?

<p>96</p> Signup and view all the answers

X can do a piece of work in 20 days. He worked for 5 days and then Y finished it in 15 days. In how many days can X and Y together finish the work?

<p>10</p> Signup and view all the answers

X and Y can do a piece of work in 40 days. After working for 10 days, they are assisted by Z and work is finished in 20 days more. If Z does as much work as what Y does in 3 days, how many days could X alone do the same work?

<p>48</p> Signup and view all the answers

Choose the pair that exhibits a relationship closest to the one exhibited by the lead: After : Before

<p>successor: predecessor</p> Signup and view all the answers

Fill in the blank with the appropriate preposition: When we get ready for dinner, I have to take my books __________ the table.

<p>off</p> Signup and view all the answers

Choose the word from the options that is farthest in meaning to the given word: Hostility

<p>Amicability</p> Signup and view all the answers

What type of resume is not mentioned in the list?

<p>Creative</p> Signup and view all the answers

Which number is $100^{25} - 7$ divisible by?

<p>2, 3 and 9</p> Signup and view all the answers

What is the value of $(479)^2 - (53)^2$?

<p>7661040</p> Signup and view all the answers

What is the value of $(523)^2 - (73)^2$?

<p>268200</p> Signup and view all the answers

How many prime numbers exist in $4^6 \times 15^7 \times 13^{10}$?

<p>23</p> Signup and view all the answers

What will be the angle between the hands of the clock at 6:15 p.m.?

<p>95°</p> Signup and view all the answers

In the expression P % Q + R - S, Q is in which direction with respect to S?

<p>South-West</p> Signup and view all the answers

How far is Surya now from point P?

<p>5 feet</p> Signup and view all the answers

How many small cubes are there whose only one face is coloured?

<p>120</p> Signup and view all the answers

In how many days can X and Y together finish the work?

<p>10</p> Signup and view all the answers

What is the sum of two consecutive even numbers, the difference of whose squares is 84?

<p>38</p> Signup and view all the answers

Putting off or avoiding something that must be done is called

<p>procrastination</p> Signup and view all the answers

Which one is NOT a reason for procrastinating?

<p>Good Organization</p> Signup and view all the answers

Which of the following is NOT a way to overcome procrastination?

<p>Doing all the fun stuff first</p> Signup and view all the answers

The surface area of a cube is 1734 sq. cm. Find its volume

<p>3478 cubic.cm</p> Signup and view all the answers

A pole of length 8.5 feet was resting against a wall with its foot at a distance of 1.3 feet from the base of the wall. Due to a hit, the top of the pole slipped by 0.7 feet. By how much did the foot slip?

<p>0.6 feet</p> Signup and view all the answers

Study Notes

Resume Types

  • Functional, Chronological, and Combination are types of resumes.
  • There is no mention of "Types of resume" as a type of resume.

Clock and Time

  • At 6:15 p.m., the angle between the hands of the clock is 157.5 degrees.
  • The hands of a clock coincide 22 times in a day.
  • Between 3:00 p.m. and 4:00 p.m., the hands of a clock will be in a straight line at 3:39 p.m.

Numbers and Mathematics

  • $100^{25} - 7$ is divisible by 7.
  • The number of prime numbers in $4^6 \times 15^7 \times 13^{10}$ is unknown.
  • $(479)^2 - (53)^2 = 229,441 - 2,809 = 226,632$
  • $(523)^2 - (73)^2 = 273,529 - 5,329 = 268,200$

Word Problems

  • X can do a piece of work in 20 days, and Y can do it in 30 days. X and Y together can finish the work in 12 days.
  • X and Y working together can finish a piece of work in 40 days. With Z's help, they can finish it in 30 days. Z can do the same work in 60 days.
  • X alone can do the same work in 80 days.

Prepositions and Vocabulary

  • The correct preposition to use is "off" (take my books off the table).
  • A word farthest in meaning to "Hostility" is "Friendship".
  • Putting off or avoiding something that must be done is called Procrastination.
  • Not having a deadline is not a reason for procrastinating.
  • Breaking down tasks into smaller steps is a way to overcome procrastination.

Geometry and Measurement

  • The surface area of a cube is 1734 sq.cm, and its volume is 1331 cubic cm.
  • If a pole of length 8.5 feet slipped by 0.7 feet, its foot slipped by 1.3 feet.

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