Simplification

CET 2026 Simplification

Quick Recap

  • BODMAS rule: solve Brackets, Orders, Division, Multiplication, Addition, and Subtraction in order.
  • Multiplication and division are solved from left to right when they appear together.
  • (a – b)² = a² – 2ab + b²
  • a² – b² = (a – b)(a + b)
  • a × 999 = a × (1000 – 1)
  • For decimal division, remove decimals carefully by multiplying numerator and denominator by the same power of 10.
  • In telescopic products, cancel common numerator and denominator terms.
Q1. Find the value of: (1 – 1/3)(1 – 1/4)(1 – 1/5)…(1 – 1/100)
  • A) 99/100
  • B) 2/100
  • C) 1
  • D) 100
Correct Option: B Rationale: (1 – 1/3)(1 – 1/4)…(1 – 1/100) = 2/3 × 3/4 × 4/5 × … × 99/100 All middle terms cancel. Final value = 2/100 = 1/50.
Q2. Calculate: 1397 × 1397
  • A) 1981709
  • B) 1951609
  • C) 2031719
  • D) 1951719
  • E) 2011609
Correct Option: B Rationale: 1397 × 1397 = 1397² Using (a – b)² = a² – 2ab + b²: (1400 – 3)² = 1400² – 2(1400)(3) + 3² = 1960000 – 8400 + 9 = 1951609.
Q3. Solve: (53 × 2 × 106) – (47 × 2 × 94)
  • A) 2200
  • B) 2400
  • C) 2000
  • D) 1906
  • E) 1904
Correct Option: B Rationale: (53 × 2 × 106) – (47 × 2 × 94) Since 106 = 2 × 53 and 94 = 2 × 47: = 4(53² – 47²) Using a² – b² = (a – b)(a + b): = 4(53 – 47)(53 + 47) = 4 × 6 × 100 = 2400.
Q4. Solve: 587 × 999 = ?
  • A) 586413
  • B) 587523
  • C) 614823
  • D) 615173
  • E) 615976
Correct Option: A Rationale: 587 × 999 = 587 × (1000 – 1) = 587000 – 587 = 586413.
Q5. Solve: 400 ÷ 0.1 × 0.2 = ?
  • A) 0.8
  • B) 8
  • C) 80
  • D) 8000
  • E) 800
Correct Option: E Rationale: 400 ÷ 0.1 × 0.2 Division and multiplication are performed from left to right. 400 ÷ 0.1 = 4000 4000 × 0.2 = 800.
Q6. Given 168 × 32 = 5376, then 5.376 ÷ 16.8 is equal to?
  • A) 0.032
  • B) 0.32
  • C) 3.2
  • D) 320
  • E) 32
Correct Option: B Rationale: Given: 168 × 32 = 5376 So: 5376 ÷ 168 = 32 Now: 5.376 ÷ 16.8 = 5376 ÷ 168 × 1/100 = 32/100 = 0.32.
Q7. What will come in place of the question mark? (39.3 × 53.4) + (26.7 × 5.9) = ?
  • A) 2246.15
  • B) 2251.85
  • C) 2256.15
  • D) 2261.50
  • E) 2270.25
Correct Option: C Rationale: 39.3 × 53.4 = 2098.62 26.7 × 5.9 = 157.53 Therefore: 2098.62 + 157.53 = 2256.15.

CET 2026 Simplification Practice Questions

Simplification is one of the most scoring topics in the CET 2026 Quant section. These questions test calculation speed, number sense, decimal handling, approximation, algebraic identities, and BODMAS-based operations. A strong command of simplification helps students save valuable time in the exam because many problems can be solved using shortcuts instead of long calculations. Important areas include squares, products near base numbers, decimal division, telescopic cancellation, multiplication tricks, difference of squares, and left-to-right calculation rules. Regular practice of CET simplification questions improves accuracy and builds confidence for arithmetic, data interpretation, and logical calculation sets. This quiz is useful for MBA CET, MAH CET, CMAT, banking aptitude, placement tests, and other competitive exams where fast mental calculation is required. Students should revise formulas, identify patterns, avoid common decimal mistakes, and practice timed quizzes to improve performance. Use this CET 2026 Simplification module to strengthen your basics, sharpen calculation speed, and prepare effectively for high-scoring quant attempts.

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