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Full Syllabus Mock Test

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Q1 Logical Reasoning
Which fraction is the largest?
As 40/60, 45/60, 48/60, 30/60, the largest is ⅘.
Q2 Everyday Mathematics
A student scores 36 out of 40. What percentage is that?
(36/40) × 100 = 90%.
Q3 Mathematical Reasoning
What is ¾ ÷ 3?
3/(4 × 3) = 3/12 = ¼.
Q4 Logical Reasoning
In a bar graph, the taller bar shows the ___ value.
A taller bar means a larger value.
Q5 Mathematical Reasoning
What is ½ × ¼?
(1 × 1)/(2 × 4) = 1/8.
Q6 Mathematical Reasoning
CP = ₹80, SP = ₹100. What is the profit?
Profit = 100 − 80 = ₹20.
Q7 Achievers Section
What is the smallest 8-digit number minus the largest 7-digit number?
1,00,00,000 − 99,99,999 = 1.
Q8 Mathematical Reasoning
What is the difference between 38°C and 25°C?
38 − 25 = 13°C.
Q9 Everyday Mathematics
A patient's temperature is 39°C. Normal is 37°C. How much above normal is it?
39 − 37 = 2°C above normal.
Q10 Mathematical Reasoning
Which is greater, 0.45 or 0.5?
0.5 = 0.50 > 0.45.
Q11 Mathematical Reasoning
What is 250 ÷ 1000?
Move the point three places left: 0.25.
Q12 Mathematical Reasoning
CP = ₹50, SP = ₹60. What is the profit percent?
Profit = ₹10; profit% = (10 ÷ 50) × 100 = 20%.
Q13 Logical Reasoning
What is the perimeter of a square of side 5 cm?
4 × 5 = 20 cm.
Q14 Logical Reasoning
Which quantity is measured in cubic units?
Volume is measured in cubic units.
Q15 Logical Reasoning
Which Roman numeral equals 40?
X before L means 50 − 10 = 40.
Q16 Everyday Mathematics
A ₹600 item has a 20% discount. How much do you pay?
20% of 600 = ₹120 off, so 600 − 120 = ₹480.
Q17 Logical Reasoning
Tenths, hundredths, ___ : what comes next?
The third decimal place is thousandths.
Q18 Everyday Mathematics
Two lights blink every 6 seconds and 8 seconds. After how many seconds do they blink together?
They blink together at the LCM of 6 and 8, which is 24 seconds.
Q19 Mathematical Reasoning
CP = ₹200, SP = ₹160. What is the loss percent?
Loss = ₹40; loss% = (40 ÷ 200) × 100 = 20%.
Q20 Mathematical Reasoning
What is the LCM of 6 and 8?
6 = 2 × 3 and 8 = 2³; LCM = 2³ × 3 = 24.
Q21 Mathematical Reasoning
A complete angle measures ___ degrees.
A complete angle is 360°.
Q22 Achievers Section
Starting at 20°C, the temperature rises 3°C every hour. What is it after 4 hours?
3 × 4 = 12°C rise, so 20 + 12 = 32°C.
Q23 Mathematical Reasoning
3 L 200 mL − 1 L 500 mL = ?
Borrow: 2 L 1200 mL − 1 L 500 mL = 1 L 700 mL.
Q24 Everyday Mathematics
36 apples and 24 oranges are packed into boxes with equal numbers of each, using the largest box size. How many fruits of each go in a box?
Largest equal box size = HCF of 36 and 24 = 12.
Q25 Mathematical Reasoning
What is the perimeter of a rectangle 10 cm by 4 cm?
2 × (10 + 4) = 28 cm.
Q26 Everyday Mathematics
A room floor is 5 m by 4 m. What is its area?
5 × 4 = 20 sq m.
Q27 Logical Reasoning
Getting heads when you toss a fair coin is ___ to getting tails.
Heads and tails are equally likely on a fair coin.
Q28 Logical Reasoning
1 crore equals how many lakhs?
1 crore = 100 lakhs.
Q29 Logical Reasoning
A triangle has 3 sides; a quadrilateral has ___ ?
A quadrilateral has 4 sides.
Q30 Logical Reasoning
Speed = distance ÷ ___ ?
Speed = distance ÷ time.
Q31 Logical Reasoning
Which is colder, 5°C or 15°C?
5°C is the lower number, so it is colder.
Q32 Achievers Section
Write 444 in Roman numerals.
444 = 400 + 40 + 4 = CD + XL + IV = CDXLIV.
Q33 Logical Reasoning
What is 1 ÷ ½?
There are 2 halves in 1, so 1 ÷ ½ = 2.
Q34 Mathematical Reasoning
Is 156 divisible by 4?
Last two digits 56 ÷ 4 = 14, so yes.
Q35 Logical Reasoning
Which is the odd one out (three are equal to ½)?
3/5 is not equal to ½; the other three are.
Q36 Everyday Mathematics
A factory makes 1,25,000 units each month. How many in 4 months?
1,25,000 × 4 = 5,00,000.
Q37 Mathematical Reasoning
What is the difference between 45°C and 19°C?
45 − 19 = 26°C.
Q38 Everyday Mathematics
It is 18°C in the morning and 29°C at noon. By how much did it rise?
29 − 18 = 11°C.
Q39 Achievers Section
What is 2.345 + 1.655?
2.345 + 1.655 = 4.000.
Q40 Mathematical Reasoning
What is the perimeter of a square of side 6 cm?
4 × 6 = 24 cm.
Q41 Everyday Mathematics
A city has 12,50,000 people and another has 8,50,000. What is the total?
12,50,000 + 8,50,000 = 21,00,000.
Q42 Logical Reasoning
Which number is divisible by 9?
Digit sum of 108 is 1 + 0 + 8 = 9, divisible by 9.
Q43 Mathematical Reasoning
What is 4 ÷ ½?
There are 2 halves in each whole, so 4 ÷ ½ = 8.
Q44 Mathematical Reasoning
5 kg − 2 kg 300 g = ?
5 kg = 4 kg 1000 g; 4 kg 1000 g − 2 kg 300 g = 2 kg 700 g.
Q45 Everyday Mathematics
A shirt costs ₹600 with a 25% discount. How much do you pay?
25% of 600 = ₹150 off, so you pay ₹450.
Q46 Mathematical Reasoning
How many equal sides does a square have?
A square has 4 equal sides.
Q47 Mathematical Reasoning
Euler's formula is F + V − E = ___ ?
For a solid, Faces + Vertices − Edges = 2.
Q48 Achievers Section
A solid has 5 faces and 6 vertices. How many edges does it have (use Euler's formula)?
F + V − E = 2, so 5 + 6 − E = 2, giving E = 9.
Q49 Mathematical Reasoning
What is the mean of 10, 20, 30, 40?
(10 + 20 + 30 + 40) ÷ 4 = 100 ÷ 4 = 25.
Q50 Logical Reasoning
Which is the odd one out (three measure capacity)?
kg measures weight; the others measure capacity.
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