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Full Syllabus Mock Test

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Q1 Logical Reasoning
Continue the pattern of terms: n, 2n, 3n, ___ ?
The next multiple of n is 4n.
Q2 Achievers Section
On a map 1 cm represents 50 km. What distance does 4 cm represent?
4 × 50 = 200 km.
Q3 Everyday Mathematics
How many lines of symmetry does the letter O have?
A circular O has many lines of symmetry.
Q4 Logical Reasoning
If each letter moves forward by 1, the code for DOG is ___ ?
D→E, O→P, G→H gives EPH.
Q5 Logical Reasoning
Which is the odd one out: 11, 13, 15, 17?
15 = 3 × 5 is composite; the others are prime.
Q6 Logical Reasoning
Find the next number: 5, 10, 20, 40, ___ ?
Each term doubles: 40 × 2 = 80.
Q7 Achievers Section
Simplify: 3 + 4 × (10 − 2) ÷ 8 = ?
10 − 2 = 8, then 4 × 8 ÷ 8 = 4, so 3 + 4 = 7.
Q8 Logical Reasoning
Which is the greatest decimal?
0.99 is the greatest.
Q9 Everyday Mathematics
A student scores 80, 90 and 100 in three tests. What is the mean score?
(80 + 90 + 100) ÷ 3 = 90.
Q10 Mathematical Reasoning
Which of these is a prime number?
23 has only the factors 1 and 23, so it is prime.
Q11 Everyday Mathematics
A truck travels 1,250 km on each trip. How far in 4 trips?
1,250 × 4 = 5,000 km.
Q12 Mathematical Reasoning
What is the LCM of 6 and 9?
The smallest common multiple of 6 and 9 is 18.
Q13 Mathematical Reasoning
Which ratio is equivalent to 2 : 3?
Multiply both by 2: 2 : 3 = 4 : 6.
Q14 Achievers Section
What is the order of rotational symmetry of an equilateral triangle?
It matches three times in a full turn.
Q15 Mathematical Reasoning
What is 12 : 18 in simplest form?
Divide both by 6: 12 : 18 = 2 : 3.
Q16 Mathematical Reasoning
How many edges does a cuboid have?
A cuboid has 12 edges.
Q17 Everyday Mathematics
Railway tracks are a real-life example of ___ ?
Railway tracks stay the same distance apart, so they are parallel lines.
Q18 Logical Reasoning
What is 10/15 in simplest form?
Divide both by 5: 10/15 = ⅔.
Q19 Mathematical Reasoning
If x = 3, what is 2x + 1?
2 × 3 + 1 = 7.
Q20 Mathematical Reasoning
How many lines of symmetry does a rectangle have?
A rectangle has 2 lines of symmetry.
Q21 Mathematical Reasoning
Solve: x − 6 = 9.
x = 9 + 6 = 15.
Q22 Logical Reasoning
Which is the smallest: −3, −7, 2, 5?
−7 is furthest left, so it is the smallest.
Q23 Mathematical Reasoning
What is the smallest whole number?
The smallest whole number is 0.
Q24 Logical Reasoning
Which is the largest number?
98,765 is the greatest of these.
Q25 Mathematical Reasoning
Is 1,287 divisible by 9?
Digit sum 1 + 2 + 8 + 7 = 18, which is divisible by 9, so yes.
Q26 Logical Reasoning
Which integer is greater, −2 or −9?
−2 is to the right of −9, so it is greater.
Q27 Achievers Section
Use the distributive property: 17 × 8 + 17 × 2 = ?
17 × (8 + 2) = 17 × 10 = 170.
Q28 Mathematical Reasoning
What is the mean of 5, 5, 5?
(5 + 5 + 5) ÷ 3 = 5.
Q29 Everyday Mathematics
A diver is at −15 m and descends 10 m more. What is the new depth?
−15 − 10 = −25 m.
Q30 Everyday Mathematics
A car costs ₹7,50,000. How much do 2 such cars cost?
7,50,000 × 2 = ₹15,00,000.
Q31 Mathematical Reasoning
Is 456 divisible by 8?
456 ÷ 8 = 57, so yes.
Q32 Logical Reasoning
Which whole number has no predecessor?
0 is the smallest whole number, so it has no predecessor.
Q33 Logical Reasoning
Which is the odd one out (three have at least one line of symmetry)?
A scalene triangle has no line of symmetry.
Q34 Mathematical Reasoning
How many sides does a hexagon have?
A hexagon has 6 sides.
Q35 Logical Reasoning
Which is the odd one out (three are prime numbers)?
4 = 2 × 2 is composite; the others are prime.
Q36 Mathematical Reasoning
What is the perimeter of a square of side 9 cm?
4 × 9 = 36 cm.
Q37 Logical Reasoning
Facing North, you turn left. Which way do you now face?
Turning left from North faces West.
Q38 Everyday Mathematics
A recipe uses 2 cups of flour to 1 cup of sugar. For 6 cups of flour, how much sugar?
The ratio 2 : 1 means 6 cups flour needs 3 cups sugar.
Q39 Logical Reasoning
If A = 1, B = 2, …, Z = 26, then E = ___ ?
E is the 5th letter, so 5.
Q40 Mathematical Reasoning
What is the order of rotational symmetry of an equilateral triangle?
It matches three times in a full turn, so order 3.
Q41 Mathematical Reasoning
A triangle has ___ sides.
A triangle has 3 sides.
Q42 Everyday Mathematics
A garden is 25 m by 15 m. How much fencing is needed around it?
Perimeter = 2 × (25 + 15) = 80 m.
Q43 Achievers Section
What is 5 − 1.35 − 1.65?
1.35 + 1.65 = 3.00, and 5 − 3 = 2.0.
Q44 Mathematical Reasoning
Simplify: 8 + 2 × 5 = ?
Multiply first: 8 + 10 = 18.
Q45 Mathematical Reasoning
On a pictograph 1 symbol = 5. How many do 7 symbols show?
7 × 5 = 35.
Q46 Everyday Mathematics
A worker earns ₹500 each day. How much in 6 days?
500 × 6 = ₹3,000.
Q47 Mathematical Reasoning
What is −6 + 4?
6 − 4 = 2, keep the negative sign, so −2.
Q48 Logical Reasoning
Which is the odd one out: 2, 4, 6, 7?
7 is odd; the others are even.
Q49 Everyday Mathematics
A pen costs ₹12.50. What do 4 pens cost?
12.50 × 4 = ₹50.
Q50 Mathematical Reasoning
What is 7 + (−10)?
10 − 7 = 3, keep the negative sign, so −3.
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