mpt · CSS study notes
04 · General Ability — Q91–120
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Study order: attempt the question → open the yellow hint only if needed → reveal the green answer → try the related question. Check the revision box only when you can explain the rule without looking.
30 original questions + 30 related recall exercises. Study solutions, not an official KIPS key. Wording and options are retained with spacing and obvious numbering normalised. Consult the attached original PDF for exact typography.
Q91
0.003 x 0.02 =?
(a) 0.06
(b) 0.006
(c) 0.0006
(d) 0.00006
Source PDF page 9.
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💡 Hint — try before revealing
Multiply the digits and count the decimal places in both factors.
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✅ Answer & explanation
Answer: D — 0.00006
Reasoning: 3×2=6 with five total decimal places.
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Related practice: What is 0.03×0.2?
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✅ Related answer & memory link
Answer: 0.006.
Why / remember: 0.03×0.2=0.006; three total decimal places follow from 2+1.
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Confident after revision
Q92
40 is subtracted from 60 % of a number, the result is 50. Find the number?
(a) 150
(b) 140
(c) 130
(d) 110
Source PDF page 9.
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💡 Hint — try before revealing
Undo the subtraction before dividing by the percentage multiplier.
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✅ Answer & explanation
Answer: A — 150
Reasoning: 0.6x−40=50, so x=90/0.6=150.
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Related practice: What is 60% of 150?
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✅ Related answer & memory link
Answer: 90.
Why / remember: 0.60×150=90; subtracting 40 checks the stated result of 50.
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Confident after revision
Q93
85 % of a number is added to 24, the result is the same number. Find the number?
(a) 150
(b) 140
(c) 130
(d) 160
Source PDF page 9.
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💡 Hint — try before revealing
The missing percentage of the number equals the added amount.
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✅ Answer & explanation
Answer: D — 160
Reasoning: 0.85x+24=x, so 0.15x=24.
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Related practice: What is 15% of 160?
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✅ Related answer & memory link
Answer: 24.
Why / remember: 15% of 160 is 24, completing the other 85% to the whole.
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Confident after revision
Q94
60 % of a number is added to 120, the result is the same number. Find the number?
(a) 300
(b) 200
(c) 400
(d) 500
Source PDF page 9.
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💡 Hint — try before revealing
Move the percentage term to the other side of the equation.
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✅ Answer & explanation
Answer: A — 300
Reasoning: 0.6x+120=x, so 0.4x=120.
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Related practice: What is 60% of 300?
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✅ Related answer & memory link
Answer: 180.
Why / remember: 0.60×300=180; adding 120 returns the original 300.
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Confident after revision
Q95
25 % of 30 % of 45 % is equal to _?
(a) 0.03375
(b) 0.3375
(c) 3.375
(d) 33.75
Source PDF page 9.
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💡 Hint — try before revealing
Each percent sign introduces division by one hundred.
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✅ Answer & explanation
Answer: A — 0.03375
Reasoning: Multiply the three decimal factors: 0.25×0.30×0.45=0.03375, equivalent to 3.375%.
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Related practice: Express 0.03375 as a percentage.
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✅ Related answer & memory link
Answer: 3.375%.
Why / remember: To turn 0.03375 back into a percentage, multiply by 100 to obtain 3.375%.
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Confident after revision
Q96
40 % of a number is more than 20 % of 650 by 190. Find the number?
(a) 600
(b) 700
(c) 800
(d) 900
Source PDF page 10.
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💡 Hint — try before revealing
Evaluate the right-hand numerical percentage before solving for x.
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✅ Answer & explanation
Answer: C — 800
Reasoning: 0.4x=0.2×650+190=320, so x=800.
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Related practice: What is 20% of 650?
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✅ Related answer & memory link
Answer: 130.
Why / remember: 20% of 650 is 0.2×650=130.
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Confident after revision
Q97
How much is 80 % of 40 is greater than 4/5 of 25?
(a) 4
(b) 6
(c) 9
(d) 12
Source PDF page 10.
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💡 Hint — try before revealing
Calculate each part before taking their difference.
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✅ Answer & explanation
Answer: D — 12
Reasoning: 80% of 40=32; 4/5 of 25=20; difference=12.
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Related practice: What fraction equals 80%?
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✅ Related answer & memory link
Answer: 4/5.
Why / remember: 80/100 reduces to 4/5, giving the equivalence used in the question.
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Confident after revision
Q98
After decreasing 24 % in the price of an article costs Rs. 912. Find the actual cost of an article?
(a) 1400
(b) 1300
(c) 1200
(d) 1100
Source PDF page 10.
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💡 Hint — try before revealing
A 24% decrease leaves 76% of the original.
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✅ Answer & explanation
Answer: C — Rs 1200
Reasoning: After 24% reduction, 76% remains. Original=912/0.76=1200.
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Related practice: What was the rupee reduction?
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✅ Related answer & memory link
Answer: 288.
Why / remember: The reduction is 1200−912=288; check 0.24×1200=288.
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Confident after revision
Q99
What percent of 120 are 90?
(a) 25 %
(b) 50 %
(c) 75 %
(d) 33 %
Source PDF page 10.
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💡 Hint — try before revealing
Keep the reference whole in the denominator.
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✅ Answer & explanation
Answer: C — 75%
Reasoning: 90/120×100=75%.
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Related practice: What is 120 as a percentage of 90?
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✅ Related answer & memory link
Answer: 133⅓%.
Why / remember: 120/90×100=133⅓%; reversing a percentage comparison does not simply subtract from 100.
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Confident after revision
Q100
Today is Khadija‘s birthday. After one year, she will become two times as she was ten years ago. Current age of Khadija is?
(a) 19
(b) 20
(c) 21
(d) 22
Source PDF page 10.
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💡 Hint — try before revealing
Translate each time phrase relative to the same present age x.
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✅ Answer & explanation
Answer: C — 21 years
Reasoning: x+1=2(x−10), hence x=21.
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Related practice: How old was she ten years ago?
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✅ Related answer & memory link
Answer: 11.
Why / remember: Ten years before 21 is 11; next year is 22, which is twice 11.
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Confident after revision
Q101
The average of two numbers is XY. If one number is equal to X, the other number is equal to _?
(a) X
(b) 2Y
(c) XY - X
(d) 2XY – X
Source PDF page 10.
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💡 Hint — try before revealing
The total of two numbers is twice their average.
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✅ Answer & explanation
Answer: D — 2XY−X
Reasoning: Two-number total is twice the average, 2XY. Subtract the known number X.
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Related practice: If the average is 12 and one number is 9, what is the other?
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✅ Related answer & memory link
Answer: 15.
Why / remember: For average 12 the total is 24; subtract the known 9 to get 15.
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Confident after revision
Q102
The average of first 10 even numbers is _?
(a) 18
(b) 22
(c) 9
(d) 11
Source PDF page 10.
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💡 Hint — try before revealing
Check whether the sequence begins at zero or at two.
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✅ Answer & explanation
Answer: D — 11, for positive evens
Reasoning: The first ten positive even numbers run 2 to 20; mean=(2+20)/2=11. Including zero changes the answer.
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Related practice: What is the mean of 0,2,…,18?
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✅ Related answer & memory link
Answer: 9.
Why / remember: For the ten terms 0 to 18 in steps of two, the mean is (0+18)/2=9.
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Confident after revision
Q103
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4. The sixth number is
_?
(a) 11.0
(b) 11.3
(c) 11.4
(d) 11.5
Source PDF page 10.
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💡 Hint — try before revealing
The sixth observation belongs to both overlapping groups.
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✅ Answer & explanation
Answer: D — 11.5
Reasoning: First six sum=63; last six sum=68.4. Their overlap is the sixth: 63+68.4−119.9=11.5.
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Related practice: Why subtract the total of all eleven?
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✅ Related answer & memory link
Answer: The sixth item was counted twice.
Why / remember: Adding both partial totals counts the sixth twice; subtracting the full total leaves it once.
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Confident after revision
Q104
The average of first ten prime numbers which are odd is _?
(a) 12.9
(b) 13.8
(c) 15.8
(d) 17
Source PDF page 10.
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💡 Hint — try before revealing
Odd primes exclude the one even prime.
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✅ Answer & explanation
Answer: C — 15.8
Reasoning: First ten odd primes: 3,5,7,11,13,17,19,23,29,31; sum=158.
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Related practice: What is the only even prime?
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✅ Related answer & memory link
Answer: 2.
Why / remember: Two is prime but not odd, so it must be omitted when listing odd primes.
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Confident after revision
Q105
The average of first 10 natural numbers is ?
(a) 5
(b) 5.5
(c) 6.5
(d) 6
Source PDF page 10.
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💡 Hint — try before revealing
For equally spaced numbers, the mean is halfway between the endpoints.
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✅ Answer & explanation
Answer: B — 5.5
Reasoning: For natural numbers 1–10, mean=(1+10)/2.
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Related practice: What is their sum?
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✅ Related answer & memory link
Answer: 55.
Why / remember: The sum 1+…+10 is 10×11/2=55; dividing by ten gives 5.5.
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Confident after revision
Q106
The average of first 10 odd numbers is _?
(a) 11
(b) 10
(c) 12
(d) 17
Source PDF page 10.
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💡 Hint — try before revealing
The first ten positive odd numbers run from one to nineteen.
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✅ Answer & explanation
Answer: B — 10
Reasoning: First ten positive odd numbers run 1–19; mean=(1+19)/2=10.
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Related practice: What is their sum?
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✅ Related answer & memory link
Answer: 100.
Why / remember: The first n positive odd numbers sum to n², so the sum is 10²=100.
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Confident after revision
Q107
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest
boy?
(a) 15
(b) 9
(c) 18
(d) 21
Source PDF page 11.
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💡 Hint — try before revealing
Divide the total age by the sum of the ratio parts.
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✅ Answer & explanation
Answer: B — 9 years
Reasoning: Total=45; ratio parts sum to 15, so each part=3 and youngest=3×3=9.
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Related practice: What is the oldest boy’s age?
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✅ Related answer & memory link
Answer: 21.
Why / remember: The largest share is seven parts; each part is three years, giving 21.
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Confident after revision
Q108
In a fort, there is sufficient food for 600 men for a month. If 400 more men arrive the fort then how long the food is
sufficient for now?
(a) 20 days
(b) 18 days
(c) 28 days
(d) 36 days
Source PDF page 11.
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💡 Hint — try before revealing
Treat food supply as a fixed number of person-days and state the month-length assumption.
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✅ Answer & explanation
Answer: B — 18 days, using a 30-day month
Reasoning: Food=600×30=18000 person-days. Divide by 1000 people.
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Related practice: How long would it last 900 people?
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✅ Related answer & memory link
Answer: 20 days.
Why / remember: 18000 person-days divided by 900 people gives 20 days.
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Confident after revision
Q109
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is ?
(a) 1/13
(b) 2/13
(c) 1/26
(d) 1/52
Source PDF page 11.
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💡 Hint — try before revealing
Count the specified distinct cards among all fifty-two.
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✅ Answer & explanation
Answer: C — 1/26
Reasoning: Two specified distinct cards are favourable: 2/52=1/26.
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Related practice: What is the chance of drawing any queen?
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✅ Related answer & memory link
Answer: 4/52=1/13.
Why / remember: There are four queens, one per suit, so probability=4/52=1/13.
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Confident after revision
Q110
In the total investment of $500,000, B‘s share is 20%. While A‘s share is 40% of the B‘s. What is the share of A?
(a) $32,000
(b) $34,000
(c) $36,000
(d) $40,000
Source PDF page 11.
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💡 Hint — try before revealing
Apply A’s percentage to B’s share, not directly to the overall total.
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✅ Answer & explanation
Answer: D — $40,000
Reasoning: B=20%×500000=100000; A=40%×100000=40000.
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Related practice: What percentage of the total belongs to A?
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✅ Related answer & memory link
Answer: 8%.
Why / remember: 20%×40%=8%; nested shares multiply rather than add.
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Confident after revision
Q111
2 + 2 − 2 × 2 ’ 2 =?
(a) 0
(b) 1
(c) 2
(d) 4
Source PDF page 11.
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💡 Hint — try before revealing
Multiplication and division precede addition and subtraction.
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✅ Answer & explanation
Answer: C — 2
Reasoning: 2+2−2×2÷2 = 4−2 = 2. Evaluate multiplication and division from left to right before addition/subtraction.
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Related practice: What is 2+2×2?
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✅ Related answer & memory link
Answer: 6.
Why / remember: 2+2×2=2+4=6; adding the first two numbers before multiplication would be wrong.
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Confident after revision
Q112
The ratio of two numbers a and b is 3:5. If 2 is added to both the numbers, the ratio becomes 2:3. Find b?
(a) 15
(b) 10
(c) 8
(d) 5
Source PDF page 11.
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💡 Hint — try before revealing
Represent the original ratio as 3k and 5k.
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✅ Answer & explanation
Answer: B — 10
Reasoning: a=3k,b=5k. (3k+2)/(5k+2)=2/3 gives k=2.
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Related practice: What is a?
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✅ Related answer & memory link
Answer: 6.
Why / remember: The equation gives k=2, so a=3k=6 while b=10.
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Confident after revision
Q113
The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180 cm2.
(a) 54 cm
(b) 27 cm
(c) 12 cm
(d) 15 cm
Source PDF page 11.
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💡 Hint — try before revealing
Use the side ratio in the area equation before finding the perimeter.
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✅ Answer & explanation
Answer: A — 54 cm
Reasoning: Sides=5k,4k; 20k²=180 gives k=3. Perimeter=2(15+12)=54.
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Related practice: What are the side lengths?
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✅ Related answer & memory link
Answer: 15 cm and 12 cm.
Why / remember: 5k×4k=180 gives k=3, so the sides are 15 and 12 cm.
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Confident after revision
Q114
The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.
(a) 45 cm
(b) 40 cm
(c) 36 cm
(d) 27 cm
Source PDF page 11.
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💡 Hint — try before revealing
Use the perimeter to calculate the value of one ratio part.
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✅ Answer & explanation
Answer: C — 36 cm
Reasoning: Ratio totals nine parts; one part=81/9=9. Largest=4×9.
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Related practice: What is the smallest side?
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✅ Related answer & memory link
Answer: 18 cm.
Why / remember: The smallest side has two parts at nine cm each: 18 cm.
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Confident after revision
Q115
A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.
(a) 48
(b) 42
(c) 60
(d) 70
Source PDF page 11.
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💡 Hint — try before revealing
The ratio’s denominator is the sum of boys’ and girls’ parts.
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✅ Answer & explanation
Answer: B — 42
Reasoning: Boys=90×7/(7+8)=42.
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Related practice: How many girls?
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✅ Related answer & memory link
Answer: 48.
Why / remember: Girls are 8/15 of 90, or 48; 42+48 checks the total.
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Confident after revision
Q116
The sum of three consecutive even numbers is 78. What is the largest number?
(a) 22
(b) 24
(c) 26
(d) 28
Source PDF page 11.
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💡 Hint — try before revealing
Three consecutive even numbers are centred on their average.
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✅ Answer & explanation
Answer: D — 28
Reasoning: The middle number=78/3=26; consecutive evens are 24,26,28.
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Related practice: What is the smallest number?
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✅ Related answer & memory link
Answer: 24.
Why / remember: With middle 26, the numbers are 24,26,28; the smallest is 24.
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Confident after revision
Q117
What is the sum of the sequence: 2+4+6+ …... +98+100 =?
(a) 2450
(b) 2500
(c) 2550
(d) 2600
Source PDF page 11.
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💡 Hint — try before revealing
Use the arithmetic-series sum or factor two from the series.
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✅ Answer & explanation
Answer: C — 2550
Reasoning: There are 50 terms; sum=50(2+100)/2=2550.
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Related practice: What is the sum of the first 50 odd numbers?
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✅ Related answer & memory link
Answer: 2500.
Why / remember: The first 50 positive odd numbers sum to 50²=2500, a different series from the even numbers.
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Confident after revision
Q118
The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.
(a) 30, 19
(b) 21, 37
(c) 15, 34
(d) 15, 27
Source PDF page 11.
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💡 Hint — try before revealing
Subtract five from both actual numbers, not from their ratio labels alone.
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✅ Answer & explanation
Answer: D — 15 and 27
Reasoning: Let the numbers be 5k and 9k. Then 11(5k−5)=5(9k−5), giving k=3. Thus 15 and 27; after subtracting five their ratio is 10:22=5:11.
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Related practice: What is the difference between the numbers?
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✅ Related answer & memory link
Answer: 12.
Why / remember: 27−15=12; the altered ratio 10:22 reduces to 5:11.
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Confident after revision
Q119
What is the sum of the numbers: 1, 2, 3, 4, …... 99, 100?
(a) 5000
(b) 5050
(c) 5100
(d) 5150
Source PDF page 12.
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💡 Hint — try before revealing
Pair the first and last terms of the series.
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✅ Answer & explanation
Answer: B — 5050
Reasoning: Use n(n+1)/2=100×101/2.
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Related practice: What is the sum 1 to 20?
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✅ Related answer & memory link
Answer: 210.
Why / remember: 1+…+20=20×21/2=210 using n(n+1)/2.
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Confident after revision
Q120
If 6 men take 9 days to complete a work, how many men can complete the work in 3 days?
(a) 2 men
(b) 12 men
(c) 9 men
(d) 18 men
Source PDF page 12.
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💡 Hint — try before revealing
For fixed work, person-days stay constant.
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✅ Answer & explanation
Answer: D — 18 men
Reasoning: Work=6×9=54 person-days; 54/3=18.
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Related practice: How many days for nine men?
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✅ Related answer & memory link
Answer: 6.
Why / remember: The job requires 54 person-days; at nine people it takes 54/9=6 days.
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Confident after revision