Course (Part 301)

Course: Criteria Cognitive Aptitude Test (CCAT) Practice Questions

Lesson

Topic: Introduction to the Course, CCAT overview, and Core Number Concepts

Learning Outcomes

1. Understand the purpose and structure of the CCAT (Criteria Cognitive Aptitude Test).
2. Recall fundamental number types and the decimal (base‑10) system.
3. Apply place value to perform basic arithmetic with decimals.
4. Convert and operate with fractions; interpret fraction ⇄ division.
5. Compute percentages, averages, LCM, HCF, and solve simple time‑and‑work problems.
6. Use quick tricks for speed (percent shortcuts, divisibility, averaging shortcuts).

Conceptual Explanation

What is the CCAT?

The CCAT is a timed, multiple‑choice cognitive aptitude assessment used in hiring to measure numerical, verbal, and abstract reasoning. Typical format: 50 items, 15 minutes. Focus: problem solving, learning potential, pattern recognition.

Answer — CCAT quick facts

• Sections: Numerical, Verbal, Abstract
• Timing: speed+accuracy (practice timing is essential)
• Preparation: practice sample items; build numeric fluency and pattern recognition

Numbers & Decimal System

Decimal (base‑10) positional notation uses digits 0–9. Each place represents a power of ten. Example: 345.67 = 3×10² + 4×10¹ + 5×10⁰ + 6×10⁻¹ + 7×10⁻².

Answer — Quick checks

To convert: identify each digit's place value and sum; for arithmetic align by decimal point.

Place Value & Fractions

Place value underpins all arithmetic. A fraction a/b represents a ÷ b. Division and fraction operations use reciprocal method for division: (a/b) ÷ (c/d) = (a/b)×(d/c).

Answer — Example

Example: (2/3) ÷ (1/6) = (2/3)×(6/1) = 12/3 = 4.

Percentages, Averages, LCM/HCF, Time & Work

Percent as fraction of 100. Mean = sum/count. LCM for synchronizing cycles; HCF for simplifying ratios. Time & work problems use rates: person who completes job in t hours has rate 1/t job/hour; combine by summing rates.

Answer — Short formulas

• Percent: part = (percent/100) × whole
• Mean: (Σvalues)/n
• LCM via prime factors or LCM(a,b)=|a·b|/GCD(a,b)
• Time & work: combined rate = rate₁ + rate₂; time = 1/(combined rate)

Bilingual (EN → বাংলা)

English	বাংলা (Bangla)
Decimal / Place value	দশমিক / স্থান মান
Fraction (numerator/denominator)	ভগ্নাংশ (উপরের/নিচের)
Percentage	শতাংশ
Least Common Multiple (LCM)	ন্যূনতম সাধারণ গুণক (LCM)
Highest Common Factor (HCF/GCD)	সর্বোচ্চ সাধারণ গুণনীয়ক (HCF/GCD)
Rate (work per hour)	হার (প্রতি ঘণ্টায় কাজ)

Answer — pronunciation tips

Read Bangla terms aloud and pair them with English definitions; this aids bilingual comprehension for CCAT verbal items that use English vocabulary.

Important Notes

• Practice under time pressure: simulate 15‑minute blocks and gradually increase speed with accuracy.
• Memorize small tables (multiplication up to 12×12), common fraction↔percent conversions (½=50%, ⅓≈33.33%, ¼=25%).
• Use divisibility rules to eliminate choices quickly (2,3,4,5,6,8,9,10,11 rules).
• For abstract reasoning, scan for rotational, reflectional, numeric patterns and progressive transformations.

Exercises — True / False / Fill in the Blanks / MCQ / Matching / Descriptive / Creative

True / False

1. The decimal 0.25 equals the fraction 1/4.
   Answer

   True. 0.25 = 25/100 = 1/4.

2. LCM(6, 8) = 12.
   Answer

   False. LCM(6,8) = 24 (6′s multiples: 6,12,18,24; 8′s: 8,16,24).

3. The mean of 2, 3, 7 is 4.
   Answer

   True. (2+3+7)/3 = 12/3 = 4.

4. If A fills a tank in 5 hours and B in 10 hours, together they fill it in 7 hours.
   Answer

   False. Combined rate = 1/5 + 1/10 = 3/10 ⇒ time = 10/3 ≈ 3.333 hours.

5. To divide by 0.5 you multiply by 2.
   Answer

   True. Dividing by 0.5 = multiplying by 2.

Fill in the Blanks

1. LCM of 4 and 10 is ______.
   Answer

   20. (Multiples of 4: 4,8,12,16,20; of 10:10,20...)

2. HCF (GCD) of 18 and 24 = ______.
   Answer

   6.

3. 25% of 360 = ______.
   Answer

   90. (10% = 36; 25% = 2×10% + 5% = 72 + 18 = 90.)

4. Convert 7/4 to a mixed number: ______.
   Answer

   1 3/4.

5. Average of 8, 12, 20 = ______.
   Answer

   (8+12+20)/3 = 40/3 ≈ 13.333.

Multiple Choice (MCQ)

1. Which number is divisible by 9? A) 437 B) 459 C) 372 D) 481
   Answer

   B) 459 — sum of digits 4+5+9=18, 18 divisible by 9.

2. What is 15% of 240? A) 30 B) 36 C) 40 D) 48
   Answer

   B) 36. 10% = 24, 5% = 12, total 36.

3. If a=2 and b=3, value of (a² + b²) = ? A) 12 B) 13 C) 10 D) 9
   Answer

   B) 13 (4+9).

4. Which is the odd one out? A) 2,3,5 B) 4,6,9 C) 7,11,13 D) 17,19,23
   Answer

   B) 4,6,9 — contains a composite (9) and 4,6 are even; others are prime lists.

5. Reciprocal of 7/3 is: A) 3/7 B) 7/3 C) -3/7 D) 1/7
   Answer

   A) 3/7.

Matching

Match the left column (concept) with the right column (example):

Concept	Example
1. Proper fraction	A. 3/2
2. Improper fraction	B. 2/5
3. Mixed number	C. 1 1/3

Answer

1. 1 → B (Proper: numerator < denominator, e.g., 2/5)
2. 2 → A (Improper: numerator ≥ denominator, e.g., 3/2)
3. 3 → C (Mixed: whole + proper fraction, e.g., 1 1/3)

Descriptive (Short Answer)

1. Explain in one sentence how to convert a decimal to a percent.
   Answer

   Multiply the decimal by 100 and add the % sign. Example: 0.45 → 45%.

2. Give the LCM and HCF of 9 and 12.
   Answer

   LCM = 36; HCF = 3.

Creative

Design a 2‑minute mental trick to calculate 18% of any two‑digit number; describe it in one paragraph.

Answer

Find 10% (move decimal left), find 5% (half of 10%), find 1% (divide original by 100). Then 18% = 10% + 5% + 3×1%. Example: 18% of 54 → 10%=5.4, 5%=2.7, 1%=0.54 → 5.4+2.7+3×0.54=5.4+2.7+1.62=9.72.

Activities, Vocabulary, Homework, Practice Task

Activities

1. Timed drill: 20 arithmetic questions in 10 minutes (use the quick percentage and divisibility tricks).
2. Group activity: create 5 abstract patterns and swap with peers to solve within 2 minutes each.

Answer — activity tips

Use index cards for quick pattern display; keep track of response time; review wrong answers immediately.

Vocabulary

• Divisor / Divisible — ভাজক / বিভাজ্য
• Reciprocal — বিপরীত
• Discriminant (in quadratic formula) — বিচ্ছেদক

Answer — memory aid

Associate each term with a one‑sentence definition and an example; flashcards work well.

Homework

1. Complete 30 mixed CCAT practice items under 10 minutes (record score).
2. Write solutions for 5 time & work problems showing rate method.

Answer — sample time & work solution

Problem: A fills in 6 h, B fills in 3 h. Together? Rate = 1/6+1/3=1/6+2/6=3/6=1/2 ⇒ time = 2 h.

Practice Task

Daily: 10 minutes of fast arithmetic (multiplication table, percentages, simple fractions) for 14 days. Track improvement.

Answer — recommended schedule

1. Days 1–3: multiplication + addition speed
2. Days 4–7: percentages and quick tricks
3. Days 8–11: fractions & division (reciprocal method)
4. Days 12–14: mixed timed CCAT mini tests

Final Remarks

Use this lecture sheet as your compact study guide: review the learning outcomes, practice the exercises, and use the answer details toggles for self‑checking. For CCAT success, focus on accuracy first, then speed—training both together will yield the best results.

Answer — quick checklist

• Know place value and decimal operations
• Practice fraction/division reciprocal method
• Memorize percent shortcuts (10%, 5%, 1%)
• Use divisibility rules & LCM/HCF fundamentals
• Time & work: practice rate addition