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Full Syllabus Mock Test

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Q1 Logical Reasoning
Area of a triangle = ½ × base × ___ ?
Area of a triangle = ½ × base × height.
Q2 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.
Q3 Mathematical Reasoning
The distance all the way around a circle is the ___ ?
The distance around a circle is its circumference.
Q4 Mathematical Reasoning
Normal body temperature is about ___ ?
Normal body temperature is about 37°C.
Q5 Everyday Mathematics
A ₹400 item has a 20% discount. How much is taken off?
20% of 400 = ₹80.
Q6 Mathematical Reasoning
A pie chart shows parts of a ___ ?
A pie chart shows parts of a whole.
Q7 Mathematical Reasoning
CP = ₹200, SP = ₹160. What is the loss percent?
Loss = ₹40; loss% = (40 ÷ 200) × 100 = 20%.
Q8 Logical Reasoning
Which Roman numeral equals 40?
X before L means 50 − 10 = 40.
Q9 Mathematical Reasoning
Change 7 g into milligrams.
7 × 1000 = 7000 mg.
Q10 Logical Reasoning
What is 1 ÷ ½?
There are 2 halves in 1, so 1 ÷ ½ = 2.
Q11 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.
Q12 Logical Reasoning
What is a 10% discount on ₹200?
10% of 200 = ₹20.
Q13 Logical Reasoning
¼ is the same as ___ percent.
¼ × 100 = 25%.
Q14 Mathematical Reasoning
What is ⅔ ÷ 2?
2/(3 × 2) = 2/6 = ⅓.
Q15 Mathematical Reasoning
What is 36 ÷ 100?
Move the point two places left: 0.36.
Q16 Mathematical Reasoning
What is ½ × ¼?
(1 × 1)/(2 × 4) = 1/8.
Q17 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.
Q18 Mathematical Reasoning
CP = ₹100, SP = ₹80. What is the loss percent?
Loss = ₹20; loss% = (20 ÷ 100) × 100 = 20%.
Q19 Everyday Mathematics
A room floor is 5 m by 4 m. What is its area?
5 × 4 = 20 sq m.
Q20 Logical Reasoning
1 crore equals how many lakhs?
1 crore = 100 lakhs.
Q21 Mathematical Reasoning
What is 3½ − 1¾?
3 2/4 − 1 3/4 = 1 3/4 = 1¾.
Q22 Mathematical Reasoning
In 4.567, the digit 7 is in the ___ place.
The third digit after the point is thousandths.
Q23 Mathematical Reasoning
A triangle with exactly 2 equal sides is ___ ?
Two equal sides make an isosceles triangle.
Q24 Logical Reasoning
Rolling a 7 on a normal six-sided dice is ___ ?
A normal dice only has 1 to 6, so a 7 is impossible.
Q25 Logical Reasoning
Water boils at 100°C; it freezes at ___ ?
Water freezes at 0°C.
Q26 Achievers Section
What is ½ × ⅔ × ¾?
½ × ⅔ = ⅓, and ⅓ × ¾ = 3/12 = ¼.
Q27 Logical Reasoning
Is 153 divisible by 9?
Digit sum 1 + 5 + 3 = 9, which is divisible by 9, so yes.
Q28 Everyday Mathematics
3 kg of rice cost ₹150. What do 5 kg cost?
1 kg = ₹50, so 5 kg = ₹250.
Q29 Everyday Mathematics
⅔ of the 30 students in a class wear glasses. How many is that?
⅔ × 30 = 20 students.
Q30 Logical Reasoning
What is the perimeter of a square of side 5 cm?
4 × 5 = 20 cm.
Q31 Everyday Mathematics
A ₹200 item has a 10% discount. How much is taken off?
10% of 200 = ₹20.
Q32 Mathematical Reasoning
What is the mean of 10, 20, 30, 40?
(10 + 20 + 30 + 40) ÷ 4 = 100 ÷ 4 = 25.
Q33 Mathematical Reasoning
Write 7 thousandths as a decimal.
7 thousandths = 0.007.
Q34 Logical Reasoning
Difference in temperature = higher − ___ ?
Difference = higher temperature − lower temperature.
Q35 Everyday Mathematics
A shirt costs ₹600 with a 25% discount. How much do you pay?
25% of 600 = ₹150 off, so you pay ₹450.
Q36 Achievers Section
What is 5.6 ÷ 100?
Move the point two places left: 0.056.
Q37 Logical Reasoning
If 1 pen costs ₹12, what do 6 pens cost?
6 × 12 = ₹72.
Q38 Achievers Section
What is 15% of 300?
(15/100) × 300 = 45.
Q39 Mathematical Reasoning
What is the volume of a cube of side 4 cm?
4 × 4 × 4 = 64 cubic cm.
Q40 Everyday Mathematics
A car travels at 40 km/hr for 4 hours. How far does it go?
40 × 4 = 160 km.
Q41 Achievers Section
A shirt costs ₹800 with a 25% discount. What is the price after the discount?
25% of 800 = ₹200 off, so 800 − 200 = ₹600.
Q42 Mathematical Reasoning
Write 25% as a fraction in simplest form.
25% = 25/100 = ¼.
Q43 Mathematical Reasoning
CP = ₹50, SP = ₹60. What is the profit percent?
Profit = ₹10; profit% = (10 ÷ 50) × 100 = 20%.
Q44 Logical Reasoning
Perimeter is to 'distance around' as volume is to ___ ?
Volume is the space a solid takes up.
Q45 Mathematical Reasoning
What is 10% of 250?
250 ÷ 10 = 25.
Q46 Logical Reasoning
An angle of 250° is a ___ angle.
Between 180° and 360° is a reflex angle.
Q47 Mathematical Reasoning
Which is the prime factorization of 30?
30 = 2 × 3 × 5, all primes.
Q48 Logical Reasoning
1 L = ___ mL?
1 L = 1000 mL.
Q49 Mathematical Reasoning
Write ⅗ as a percentage.
⅗ = 60/100 = 60%.
Q50 Everyday Mathematics
A rope is 4 m 50 cm and another 3 m 75 cm. Joined, how long are they?
450 + 375 = 825 cm = 8 m 25 cm.
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