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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.

  • 💡 Hint — try before revealing

    Multiply the digits and count the decimal places in both factors.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 0.006.

    Why / remember: 0.03×0.2=0.006; three total decimal places follow from 2+1.

  • 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.

  • 💡 Hint — try before revealing

    Undo the subtraction before dividing by the percentage multiplier.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 90.

    Why / remember: 0.60×150=90; subtracting 40 checks the stated result of 50.

  • 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.

  • 💡 Hint — try before revealing

    The missing percentage of the number equals the added amount.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 24.

    Why / remember: 15% of 160 is 24, completing the other 85% to the whole.

  • 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.

  • 💡 Hint — try before revealing

    Move the percentage term to the other side of the equation.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 180.

    Why / remember: 0.60×300=180; adding 120 returns the original 300.

  • 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.

  • 💡 Hint — try before revealing

    Each percent sign introduces division by one hundred.

  • ✅ 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.

  • ✅ Related answer & memory link

    Answer: 3.375%.

    Why / remember: To turn 0.03375 back into a percentage, multiply by 100 to obtain 3.375%.

  • 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.

  • 💡 Hint — try before revealing

    Evaluate the right-hand numerical percentage before solving for x.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 130.

    Why / remember: 20% of 650 is 0.2×650=130.

  • 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.

  • 💡 Hint — try before revealing

    Calculate each part before taking their difference.

  • ✅ 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%?

  • ✅ Related answer & memory link

    Answer: 4/5.

    Why / remember: 80/100 reduces to 4/5, giving the equivalence used in the question.

  • 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.

  • 💡 Hint — try before revealing

    A 24% decrease leaves 76% of the original.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 288.

    Why / remember: The reduction is 1200−912=288; check 0.24×1200=288.

  • Confident after revision


Q99

What percent of 120 are 90?

(a) 25 %

(b) 50 %

(c) 75 %

(d) 33 %

Source PDF page 10.

  • 💡 Hint — try before revealing

    Keep the reference whole in the denominator.

  • ✅ Answer & explanation

    Answer: C — 75%

    Reasoning: 90/120×100=75%.

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Related practice: What is 120 as a percentage of 90?

  • ✅ Related answer & memory link

    Answer: 133⅓%.

    Why / remember: 120/90×100=133⅓%; reversing a percentage comparison does not simply subtract from 100.

  • 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.

  • 💡 Hint — try before revealing

    Translate each time phrase relative to the same present age x.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 11.

    Why / remember: Ten years before 21 is 11; next year is 22, which is twice 11.

  • 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.

  • 💡 Hint — try before revealing

    The total of two numbers is twice their average.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 15.

    Why / remember: For average 12 the total is 24; subtract the known 9 to get 15.

  • Confident after revision


Q102

The average of first 10 even numbers is _?

(a) 18

(b) 22

(c) 9

(d) 11

Source PDF page 10.

  • 💡 Hint — try before revealing

    Check whether the sequence begins at zero or at two.

  • ✅ 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?

  • ✅ 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.

  • 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.

  • 💡 Hint — try before revealing

    The sixth observation belongs to both overlapping groups.

  • ✅ 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?

  • ✅ 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.

  • 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.

  • 💡 Hint — try before revealing

    Odd primes exclude the one even prime.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 2.

    Why / remember: Two is prime but not odd, so it must be omitted when listing odd primes.

  • 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.

  • 💡 Hint — try before revealing

    For equally spaced numbers, the mean is halfway between the endpoints.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 55.

    Why / remember: The sum 1+…+10 is 10×11/2=55; dividing by ten gives 5.5.

  • Confident after revision


Q106

The average of first 10 odd numbers is _?

(a) 11

(b) 10

(c) 12

(d) 17

Source PDF page 10.

  • 💡 Hint — try before revealing

    The first ten positive odd numbers run from one to nineteen.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 100.

    Why / remember: The first n positive odd numbers sum to n², so the sum is 10²=100.

  • 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.

  • 💡 Hint — try before revealing

    Divide the total age by the sum of the ratio parts.

  • ✅ Answer & explanation

    Answer: B — 9 years

    Reasoning: Total=45; ratio parts sum to 15, so each part=3 and youngest=3×3=9.

🔁

Related practice: What is the oldest boy’s age?

  • ✅ Related answer & memory link

    Answer: 21.

    Why / remember: The largest share is seven parts; each part is three years, giving 21.

  • 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.

  • 💡 Hint — try before revealing

    Treat food supply as a fixed number of person-days and state the month-length assumption.

  • ✅ Answer & explanation

    Answer: B — 18 days, using a 30-day month

    Reasoning: Food=600×30=18000 person-days. Divide by 1000 people.

🔁

Related practice: How long would it last 900 people?

  • ✅ Related answer & memory link

    Answer: 20 days.

    Why / remember: 18000 person-days divided by 900 people gives 20 days.

  • 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.

  • 💡 Hint — try before revealing

    Count the specified distinct cards among all fifty-two.

  • ✅ 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?

  • ✅ Related answer & memory link

    Answer: 4/52=1/13.

    Why / remember: There are four queens, one per suit, so probability=4/52=1/13.

  • 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.

  • 💡 Hint — try before revealing

    Apply A’s percentage to B’s share, not directly to the overall total.

  • ✅ Answer & explanation

    Answer: D — $40,000

    Reasoning: B=20%×500000=100000; A=40%×100000=40000.

🔁

Related practice: What percentage of the total belongs to A?

  • ✅ Related answer & memory link

    Answer: 8%.

    Why / remember: 20%×40%=8%; nested shares multiply rather than add.

  • Confident after revision


Q111

2 + 2 − 2 × 2 ’ 2 =?

(a) 0

(b) 1

(c) 2

(d) 4

Source PDF page 11.

  • 💡 Hint — try before revealing

    Multiplication and division precede addition and subtraction.

  • ✅ 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.

🔁

Related practice: What is 2+2×2?

  • ✅ Related answer & memory link

    Answer: 6.

    Why / remember: 2+2×2=2+4=6; adding the first two numbers before multiplication would be wrong.

  • 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.

  • 💡 Hint — try before revealing

    Represent the original ratio as 3k and 5k.

  • ✅ Answer & explanation

    Answer: B — 10

    Reasoning: a=3k,b=5k. (3k+2)/(5k+2)=2/3 gives k=2.

🔁

Related practice: What is a?

  • ✅ Related answer & memory link

    Answer: 6.

    Why / remember: The equation gives k=2, so a=3k=6 while b=10.

  • 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.

  • 💡 Hint — try before revealing

    Use the side ratio in the area equation before finding the perimeter.

  • ✅ Answer & explanation

    Answer: A — 54 cm

    Reasoning: Sides=5k,4k; 20k²=180 gives k=3. Perimeter=2(15+12)=54.

🔁

Related practice: What are the side lengths?

  • ✅ 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.

  • 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.

  • 💡 Hint — try before revealing

    Use the perimeter to calculate the value of one ratio part.

  • ✅ Answer & explanation

    Answer: C — 36 cm

    Reasoning: Ratio totals nine parts; one part=81/9=9. Largest=4×9.

🔁

Related practice: What is the smallest side?

  • ✅ Related answer & memory link

    Answer: 18 cm.

    Why / remember: The smallest side has two parts at nine cm each: 18 cm.

  • 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.

  • 💡 Hint — try before revealing

    The ratio’s denominator is the sum of boys’ and girls’ parts.

  • ✅ Answer & explanation

    Answer: B — 42

    Reasoning: Boys=90×7/(7+8)=42.

🔁

Related practice: How many girls?

  • ✅ Related answer & memory link

    Answer: 48.

    Why / remember: Girls are 8/15 of 90, or 48; 42+48 checks the total.

  • 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.

  • 💡 Hint — try before revealing

    Three consecutive even numbers are centred on their average.

  • ✅ Answer & explanation

    Answer: D — 28

    Reasoning: The middle number=78/3=26; consecutive evens are 24,26,28.

🔁

Related practice: What is the smallest number?

  • ✅ Related answer & memory link

    Answer: 24.

    Why / remember: With middle 26, the numbers are 24,26,28; the smallest is 24.

  • 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.

  • 💡 Hint — try before revealing

    Use the arithmetic-series sum or factor two from the series.

  • ✅ Answer & explanation

    Answer: C — 2550

    Reasoning: There are 50 terms; sum=50(2+100)/2=2550.

🔁

Related practice: What is the sum of the first 50 odd numbers?

  • ✅ 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.

  • 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.

  • 💡 Hint — try before revealing

    Subtract five from both actual numbers, not from their ratio labels alone.

  • ✅ 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.

🔁

Related practice: What is the difference between the numbers?

  • ✅ Related answer & memory link

    Answer: 12.

    Why / remember: 27−15=12; the altered ratio 10:22 reduces to 5:11.

  • 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.

  • 💡 Hint — try before revealing

    Pair the first and last terms of the series.

  • ✅ Answer & explanation

    Answer: B — 5050

    Reasoning: Use n(n+1)/2=100×101/2.

🔁

Related practice: What is the sum 1 to 20?

  • ✅ Related answer & memory link

    Answer: 210.

    Why / remember: 1+…+20=20×21/2=210 using n(n+1)/2.

  • 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.

  • 💡 Hint — try before revealing

    For fixed work, person-days stay constant.

  • ✅ Answer & explanation

    Answer: D — 18 men

    Reasoning: Work=6×9=54 person-days; 54/3=18.

🔁

Related practice: How many days for nine men?

  • ✅ Related answer & memory link

    Answer: 6.

    Why / remember: The job requires 54 person-days; at nine people it takes 54/9=6 days.

  • Confident after revision