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CDS Logical Questions




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Q #11
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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.

Is xy + yz  + zx positive?

  1. The product of X and Y is positive.
  2. The sum of Y and Z is positive.

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Explanation: The answer could not be achieved even by both the options together.

Q #12
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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.

What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume)

  1. The ratio of liquid A to liquid B in the first and second vessel is, respectively, 3: 5, 2: 3.
  2. The ratio liquid A to liquid B in vessel 3 is 4: 3.


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Explanation: There is a catch in the problem. Although the containers are of equal volume, it is not known to what extent these containers are filled by the liquids A and B. (i.e. the first container might be half full, while the second might be two-thirds full). Until such details are known, the final ratio of liquids A and B cannot be found out. Thus, the answer is (1).

Q #13
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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 volume of the cylinder?

  1. The base area is 25πsq.cms
  2. The maximum possible volume of a cone that exactly fits into the cylinder is 100 cubic cms.


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Explanation: From statement A, no information is given about the other two sides. From statement A, as the height of the cylinder is not given, its volume cannot be determined. From statement B, as the volume of the cone with the maximum possible volume that exactly fits into the cylinder is 100 cubic cms which implies the volume of the cylinder is 3 x 100 = 300 cubic cms.

Q #14
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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 TOO+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 044 + 044 = 088

Q #15
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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 I*T*A +R

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