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CAT | Accenture Logical Questions




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Q #6
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Logical Question

Directions: In each question, you are given certain data followed by two statements. For answering the questions:

  • Mark 1. If  statement (a) is insufficient to answer the question.
  • Mark 2. If  statement (b) is insufficient to answer the question.
  • Mark 3. If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
  • Mark 4. If each statement alone is sufficient to answer the question.
  • Mark 5. If both the statements together are not sufficient to answer the question.

How many apples does Ram have ? Ram, Mohan and Laxman have at least one apple each.

  1. Ram has at least one more apple than Laxman but 26 less than Mohan.
  2. Mohan and Laxman together have at least 30 apples.   

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Explanation: You will never be able to determine the no.of apples for anyone of them.

Q #7
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Logical Question

Directions: In each question, you are given certain data followed by two statements. For answering the questions:

  • Mark 1. If both the statements together are insufficient to answer the question.
  • Mark 2. If any one of the two statements is sufficient to answer the question.
  • Mark 3. If each statement alone is sufficient to answer the question.
  • Mark 4. If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

A tractor travelled a distance of  5 m. What is the radius of the rear wheel?

  1. The front wheel rotates “N” times more than the rear wheel over this distance.
  2. The circumference of the rear wheel is “t” times that of the front wheel.


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Explanation: To find the radius of the rear wheel, we need to know the numerical value of its circumference. From statement (I), we get a relation between the circumferences of the two wheels in terms of “N”. From statement (II), we get similar information in terms of “t”. Thus, the radius cannot be determined from the given data and the answer is (1).

Q #8
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Logical Question

Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.

  • Mark 1If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  • Mark 2. If the question can be answered by using either statement alone.
  • Mark 3. If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
  • Mark 4. If the question cannot be answered even by using both the statements together.

What is the area of the rectangle ABCD?

  1. AB = 10 cms; CD = 10 cms
  2. The diagonals AC and BD are 10 2 cm each.


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Explanation:From statement B, as the diagonals measure the same and the two adjacent sides are equal (from statement A) the figure is a square of side 10 cm. So the area of the figure can be determined.

Q #9
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Logical Question

Directions: In this Question , Each Alphabet used is for a distinct digit & the equation given is mathematically true .

Here OAT is a 3 digit number , BO0T is a 4- digit number . OAT+OAT+OAT=BOOT if t=0 then what will the value of BOO - TOO?

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Explanation: OAT+OAT+OAT = BOOT. As T=0, no carry for A+A+A(3A). Possible values of A and O can be calculated by 1) 3A= O 2) 3A = 10 +O 3) 3A = 20 + O Here Largest carry generated by addition of three one digit number is 27(9+9+9). Hence value of O is less than 7 for equation 3. For Equation 3) Assume value of O is 7. Therefore value of A=9 now carry + O + O + O = BO. (2) + (7) + (7) + (7) = 23. but 7 is not equal to 3. Contradict to our assumption. Try another value of O as 4 for equation 3 O=4 therefore, A = 8. now carry + O + O + O = BO. (2) + (4) + (4) + (4) = 14. hence value satisfied with our prediction. hence O=4 A=8 and B=1 now TOO + TOO = TAA

Q #10
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Logical Question

Directions: In this Question , Each Alphabet used is for a distinct digit & the equation given is mathematically true .

Here ALL is a 3 digit number , BAIT is a 4- digit number & RIFTS is a 5-digit number. BAIT+ALL=RIFTS, if all letters have digits then what is the value of B+I+L+L -T

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