Central Teacher Eligibility Test - Mathematics and Science PYQ Quiz 13
10 PYQ questions from Central Teacher Eligibility Test - Mathematics and Science
About This Quiz
This is one set from a larger bank. See all Central Teacher Eligibility Test Mathematics and Science previous year questions.
Central Teacher Eligibility Test - Mathematics and Science PYQ Quiz 13 — Questions with Solutions
All 10 questions from this quiz with the correct answer and explanation. Attempt them yourself first, then open each solution to check your reasoning.
Q1.If 504 = 2^p × 3^q × 7^r, then what is the value of (2p+q−r)?
- A.5
- B.6
- C.7
- D.8
Show answer
Answer: C. 7
Q2.∛(8⁴) × ∛(125²) ÷ √(4³) is equal to
- A.50
- B.40
- C.100
- D.80
Show answer
Answer: A. 50
Q3.The LCM and HCF of two numbers are 1485 and 33, respectively. If one of the numbers is divided by 31, the quotient is 9 and the remainder is 18. What is the other number?
- A.165
- B.198
- C.231
- D.264
Show answer
Answer: A. 165
Q4.If x is subtracted from each of 26, 24, 56 and 49, then the numbers, so obtained in this order are in proportion. What is the value of (2x−6)/2?
- A.10
- B.11
- C.12
- D.15
Show answer
Answer: B. 11
Q5.A factor common to both x² + 7x + 12 and x² − 5x − 36 is
- A.x + 1
- B.x + 3
- C.x + 4
- D.x − 6
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Answer: C. x + 4
Q6.If 4 − 2(x−4)/3 = ½(2x+5), then (2x+1)/2 is equal to
- A.2/3
- B.5/2
- C.3
- D.4
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Answer: C. 3
Q7.If (3x²−6x−4) + (4x−3−x²) − (5+x−2x²) = (Ax²+Bx−C), then what is the value of (A+B−C)?
- A.10
- B.12
- C.13
- D.16
Show answer
Answer: A. 10
This question was dropped by CBSE; full marks were awarded to all candidates.
Q8.If x + y = 3 and x² + y² = 29, then what is the value of 1/x + 1/y?
- A.3/29
- B.−3/10
- C.−1/5
- D.3/10
Show answer
Answer: B. −3/10
Q9.The external and internal radii of a cylindrical pipe are 16 cm and 15 cm, respectively. The length of the pipe is 63 cm. What is the volume (in cm³) of the material used in making it? (Take π = 22/7)
- A.5940
- B.6039
- C.6138
- D.6820
Show answer
Answer: C. 6138
Q10.The perimeter of a rhombus-shaped field is 400 m and the length of one its diagonals is 160 m. What is the area (in m²) of the field?
- A.1600
- B.4800
- C.6400
- D.9600
Show answer
Answer: D. 9600
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Mathematics and Science questions appear regularly in SSC CGL, CHSL, MTS, GD; IBPS PO, Clerk; SBI PO, Clerk; RRB NTPC, Group D; UPSC prelims and most State PSC exams. The specific weightage varies by exam — check the exam pattern on the corresponding AajExam exam page for details.