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CTET Quants Questions




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Q #16
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Quants 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 number of type 2 widgets produced, if the total number of widgets produced is 20,000?

  1. If the production of type - 1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same.
  2. The ratio in which type - 1 and type - 2 widgets are produced is 2 : 1.


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Explanation: If the number of type - 1 widgets produced is A and that of type - 2 widgets is B, then we get the basic equation [A + B = 20,000] from the data in the question. From statement (I), we get [1.1 A + 0.94 B = 20,000]. This is enough to give us the value of B. Similarly from statement (2), we get A = 2B. This is enough to give us the value of B.

Q #17
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Quants 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 value of the product of ‘n’ consecutive odd integers?

  1. n = 10
  2. The square of the number of consecutive integers taken is 100.


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Explanation: From statement A we only know n = 10 but we do not know what are the values of the number in the last. ?statement A alone is not sufficient From statement B the square of the number of integers on the last is 100, so the number of integers are 10, but still the values of the integers is not known hence statement B alone is not sufficient.

Q #18
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Quants 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.

Is 3x + 4y = 15?

  1. 2x + 3y = 7
  2. 12x + 16y = 60


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Explanation: From statement A, unique values of x and y cannot be determined. Hence statement A alone is not sufficient. From statement B, 12x + 16y = 60  3x + 4y = 15 statement B alone is sufficient.

Q #19
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Quants 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.

Sita and Geeta are twin sisters. When Geeta wears green dress, Sita wears green dress on the next day. Did Sita wear green dress on Thursday ?

  1. Sita wore green dress on 2 days of the week
  2. On Tuesday, Geeta wore a red dress


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Explanation: For Sita to wear green dress on Thursday, Geeta has to wear green on Wednesday. The information from both statements is not sufficient to answer the question

Q #20
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Quants Question

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

Here bin is a 3 digit number , pipa is a 4- digit number . bin+bin+bin=pipa+pipa where i=4 & a =3 Find the value of bin.

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Explanation: The question is what is the value of bin From question we get 3n =2a, possibility of (n,a)=(2,3) Then, 3i=12 which should be equal to 2p assuming p=1 Then, solving the above equation we get b=9, p=1, n=2, a=3 Hence value of bin = 942.