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mpt · CSS study notes

05 · General Ability — Q121–150

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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.

Q121

Which of the following comprises of two radii?

a) Circumference

b) Chord

c) Sector

d) None of these

Source PDF page 13.

  • 💡 Hint — try before revealing

    A sector uses radii; a segment uses a chord.

  • ✅ Answer & explanation

    Answer: C — Sector, intended

    Reasoning: A sector is bounded by two radii and an arc. A diameter also has length two radii, but it is not listed.

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Related practice: What bounds a circular segment?

  • ✅ Related answer & memory link

    Answer: A chord and an arc.

    Why / remember: A segment is the region between a chord and its corresponding arc, not two radii and an arc.

  • Confident after revision


Q122

Sum of all angles around a main point equal to

a) 3600

b) 1800

c) 2700

d) 900

Source PDF page 13.

  • 💡 Hint — try before revealing

    Angles around a point make one complete revolution.

  • ✅ Answer & explanation

    Answer: A — 360°

    Reasoning: Angles around a point complete a full turn. The printed 3600 is a formatting error for 360°.

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Related practice: How many degrees form a straight angle?

  • ✅ Related answer & memory link

    Answer: 180°.

    Why / remember: A straight angle is half a full turn: 360°/2=180°.

  • Confident after revision


Q123

20% of 25% of 100 is:

a) 25

b) 5

c) 20

d) 2

Source PDF page 13.

  • 💡 Hint — try before revealing

    Successive percentage operations multiply their decimal factors.

  • ✅ Answer & explanation

    Answer: B — 5

    Reasoning: 0.20×0.25×100=5.

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Related practice: What is 25% of 20?

  • ✅ Related answer & memory link

    Answer: 5.

    Why / remember: 25% of 20 is one-quarter of 20, giving five; the reversed percentage product has the same value.

  • Confident after revision


Q124

If the length of a rectangle is 4 times its width, and if its area is 144, what is its perimeter?

a) 40

b) 60

c) 75

d) 90

Source PDF page 13.

  • 💡 Hint — try before revealing

    Express length as four times width and use area to find the scale.

  • ✅ Answer & explanation

    Answer: B — 60

    Reasoning: Let width=w, length=4w. Area=4w²=144 gives w=6, length=24, perimeter=60.

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Related practice: What is the width?

  • ✅ Related answer & memory link

    Answer: 6 units.

    Why / remember: 4w²=144 gives w²=36 and positive width w=6; length is 24.

  • Confident after revision


Q125

If South-east becomes North, North-East becomes west and so on. What will West become?

a) North-east

b) North-west

c) South-east

d) South-west

Source PDF page 13.

  • 💡 Hint — try before revealing

    Find one compass rotation that satisfies both stated renamings.

  • ✅ Answer & explanation

    Answer: C — South-east

    Reasoning: Both stated mappings rotate compass labels 135° counterclockwise: SE→N and NE→W. W then maps to SE.

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Related practice: Under the same mapping, what becomes of North?

  • ✅ Related answer & memory link

    Answer: South-west.

    Why / remember: The mapping rotates labels 135° counterclockwise; north becomes south-west under the same rule.

  • Confident after revision


Q126

Ten men made 60 fans in a month. How many men will make 180 fans in two months?

a) 12

b) 15

c) 20

d) 30

Source PDF page 13.

  • 💡 Hint — try before revealing

    Calculate output per worker per month.

  • ✅ Answer & explanation

    Answer: B — 15 men

    Reasoning: Rate=60/(10×1)=6 fans per person-month. Need 180/(6×2)=15 people.

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Related practice: How many fans can five men make in one month?

  • ✅ Related answer & memory link

    Answer: 30.

    Why / remember: At six fans per person-month, five workers produce 5×6=30 fans in a month.

  • Confident after revision


Q127

If takes 2 minutes to boil a single egg. How many minutes will it take to boil 5 eggs together?

a) 5 minutes

b) 7 minutes

c) 2 minutes

d) 10 minutes

Source PDF page 13.

  • 💡 Hint — try before revealing

    Ask whether the tasks happen simultaneously or sequentially.

  • ✅ Answer & explanation

    Answer: C — 2 minutes, under simultaneous identical conditions

    Reasoning: Cooking the eggs together means their times overlap. Real cooking time depends on water temperature and heating conditions.

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Related practice: When would five times the duration be appropriate?

  • ✅ Related answer & memory link

    Answer: If eggs had to be processed one at a time with no overlap.

    Why / remember: Multiplying time by five would require five non-overlapping cooking periods; simultaneous processing changes the model.

  • Confident after revision


Q128

The age of the baby will be 5 times after 20 years. The present age of this baby is __.

a) 4 years

b) 5 years

c) 3 years

d) 2 years

Source PDF page 13.

  • 💡 Hint — try before revealing

    Translate after twenty years as x+20.

  • ✅ Answer & explanation

    Answer: B — 5 years

    Reasoning: x+20=5x gives x=5.

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Related practice: How old after twenty years?

  • ✅ Related answer & memory link

    Answer: 25.

    Why / remember: If present age is five, adding twenty gives twenty-five, five times the present age.

  • Confident after revision


Q129

A person purchased a TV in Rs. 3000 and sells it with 2% loss. Find the selling price.

a) Rs. 60

b) Rs. 3060

c) Rs. 2940

d) Rs. 2400

Source PDF page 13.

  • 💡 Hint — try before revealing

    A 2% loss means the selling price is 98% of cost.

  • ✅ Answer & explanation

    Answer: C — Rs 2940

    Reasoning: Selling price=3000×0.98=2940.

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Related practice: What is the loss amount?

  • ✅ Related answer & memory link

    Answer: Rs 60.

    Why / remember: Loss=0.02×3000=Rs 60; subtracting it gives Rs 2940.

  • Confident after revision


Q130

The price of a mobile has increased from Rs. 200,000 to Rs. 300,000. What is the percentage increases?

A. 30%

B. 20%

C. 50%

D. 100%

Source PDF page 13.

  • 💡 Hint — try before revealing

    Use the original value as the percentage-change denominator.

  • ✅ Answer & explanation

    Answer: C — 50%

    Reasoning: Increase=100000; divide by original 200000 to get 50%.

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Related practice: What percentage decrease returns 300000 to 200000?

  • ✅ Related answer & memory link

    Answer: 33⅓%.

    Why / remember: A drop of 100000 from 300000 is 1/3, or 33⅓%; upward and downward percentages use different bases.

  • Confident after revision


Q131

Angle is made by two ....... originating from a single point.

A. Rays

B. Lines

C. Circles

D. Sectors

Source PDF page 13.

  • 💡 Hint — try before revealing

    The angle is formed by two rays sharing one endpoint.

  • ✅ Answer & explanation

    Answer: A — Rays

    Reasoning: Two rays with a common endpoint define an angle; that endpoint is the vertex.

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Related practice: What is the endpoint called?

  • ✅ Related answer & memory link

    Answer: Vertex.

    Why / remember: The common endpoint is the vertex; the rays are the angle’s arms.

  • Confident after revision


Q132

A ladder is standing with a wall. If the height of wall is 12 feet and that of ladder is 13 feet, then what will be the distance

between the wall and the ladder?

A. 25 feet

B. 5 feet

C. 1 feet

D. None of these

Source PDF page 14.

  • 💡 Hint — try before revealing

    Identify the ladder as the hypotenuse and apply Pythagoras.

  • ✅ Answer & explanation

    Answer: B — 5 feet

    Reasoning: The horizontal distance=√(13²−12²)=5, assuming a vertical wall and level ground.

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Related practice: Which side is the hypotenuse?

  • ✅ Related answer & memory link

    Answer: The 13-foot ladder.

    Why / remember: The hypotenuse is opposite the right angle and is the longest side: thirteen feet here.

  • Confident after revision


Q133

P, Q and R have share in a business with ratio of 2:3:5. If they earn a profit of Rs. 75000, find the smallest share in this profit.

A. Rs. 15000

B. Rs. 22500

C. Rs. 37500

D. None of these

Source PDF page 14.

  • 💡 Hint — try before revealing

    Convert the ratio into a fraction of the full amount.

  • ✅ Answer & explanation

    Answer: A — Rs 15,000

    Reasoning: Ten total ratio parts; smallest=2/10×75000.

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Related practice: What is R’s share?

  • ✅ Related answer & memory link

    Answer: Rs 37,500.

    Why / remember: R has five of ten parts, so R receives 5/10×75000=Rs 37500.

  • Confident after revision


Q134

2/5 of whose number is 600?

A. 1500

B. 240

C. 60

D. None of these

Source PDF page 14.

  • 💡 Hint — try before revealing

    Undo multiplication by two-fifths by multiplying by five-halves.

  • ✅ Answer & explanation

    Answer: A — 1500

    Reasoning: 2x/5=600, so x=600×5/2=1500.

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Related practice: What is 3/5 of the number?

  • ✅ Related answer & memory link

    Answer: 900.

    Why / remember: Once x=1500, three-fifths is 1500×3/5=900.

  • Confident after revision


Q135

Find the volume of a cube whose length is equals to 11 cm.

A. 121 cm2

B. 33 cm3

C. 22 cm3

D. 1331 cm3

Source PDF page 14.

  • 💡 Hint — try before revealing

    Volume uses cubic units, while surface area uses square units.

  • ✅ Answer & explanation

    Answer: D — 1331 cm³

    Reasoning: Cube volume=side³=11³=1331. Square centimetres measure area, not volume.

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Related practice: What is its total surface area?

  • ✅ Related answer & memory link

    Answer: 6×11²=726 cm².

    Why / remember: A cube has six square faces; total area=6×11²=726 cm².

  • Confident after revision


Q136

Three men paint six houses in a week. How many houses will be painted by 10 men in two weeks?

A. 40

B. 30

C. 25

D. 50

Source PDF page 14.

  • 💡 Hint — try before revealing

    Calculate houses per person-week before scaling.

  • ✅ Answer & explanation

    Answer: A — 40 houses

    Reasoning: Three people paint six houses per week, or two houses per person-week. Ten people for two weeks paint forty.

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Related practice: How many houses can five people paint in one week?

  • ✅ Related answer & memory link

    Answer: 10.

    Why / remember: Two houses per person-week times five people gives ten houses in one week.

  • Confident after revision


Q137

In a population of 220 million, 70% of the population has been vaccinated. Find the number of people who are not vaccinated

yet.

A. 154 million

B. 66 million

C. 144 million

D. None of these

Source PDF page 14.

  • 💡 Hint — try before revealing

    Use the complement of the vaccinated percentage.

  • ✅ Answer & explanation

    Answer: B — 66 million

    Reasoning: Unvaccinated share=30%; 220×0.30=66 million.

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Related practice: How many are vaccinated?

  • ✅ Related answer & memory link

    Answer: 154 million.

    Why / remember: 70% of 220 million is 154 million; the remaining 66 million makes the total 220.

  • Confident after revision


Q138

The ratio between pass and fail students of a class is 7:5. If there are 36 students in the class then find the number of failed

students.

A. 7

B. 18

C. 15

D. None of these

Source PDF page 14.

  • 💡 Hint — try before revealing

    The denominator is the sum of pass and fail ratio parts.

  • ✅ Answer & explanation

    Answer: C — 15

    Reasoning: Failure share=5/(7+5); 36×5/12=15.

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Related practice: How many pass?

  • ✅ Related answer & memory link

    Answer: 21.

    Why / remember: Seven of twelve parts pass: 36×7/12=21; fifteen fail.

  • Confident after revision


Q139

Who invented '0'?

A. Brahmagupta

B. Aryabhata

C. Al-Khwarizmi

D. Al Kindi

Source PDF page 14.

  • 💡 Hint — try before revealing

    Distinguish formal arithmetic rules for zero from the long history of zero notation.

  • ✅ Answer & explanation

    Answer: A — Brahmagupta, conventional answer

    Reasoning: Brahmagupta formulated influential arithmetic rules for zero in 628 CE. Zero evolved across cultures; crediting one person with its entire invention is oversimplified.

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Related practice: Is division by zero defined in ordinary arithmetic?

  • ✅ Related answer & memory link

    Answer: No.

    Why / remember: Division by zero has no ordinary real-number value; giving a person credit for zero does not make it valid.

  • Confident after revision


Q140

What is the supplement of 600?

A. 300

B. -600

C. 1200

D. 900

Source PDF page 14.

  • 💡 Hint — try before revealing

    Supplementary means a straight-angle total, not a right-angle total.

  • ✅ Answer & explanation

    Answer: C — 120°

    Reasoning: Supplementary angles sum to 180°; 180−60=120. Printed 600 and 1200 represent degree-symbol errors.

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Related practice: What is the complement of 60°?

  • ✅ Related answer & memory link

    Answer: 30°.

    Why / remember: Complementary angles sum to ninety degrees, so the complement of sixty is thirty.

  • Confident after revision


Q141

Find out the wrong number in the series: 1, 1, 2, 6, 24, 96, 720.

(a) 6

(b) 24

(c) 96

(d) 720

Source PDF page 14.

  • 💡 Hint — try before revealing

    Compare the sequence with successive factorials.

  • ✅ Answer & explanation

    Answer: C — 96

    Reasoning: The intended factorial series is 0!,1!,2!,3!,4!,5!,6!=1,1,2,6,24,120,720.

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Related practice: What should replace 96?

  • ✅ Related answer & memory link

    Answer: 120.

    Why / remember: 5!=5×4×3×2×1=120; replacing 96 restores the factorial sequence.

  • Confident after revision


Q142

Find the one which does not belong to that group.

(a) Pakistan: Rupee

(b) America: Dollar

(c) Kuwait: Dinar

(d) Australia: Pound

Source PDF page 14.

  • 💡 Hint — try before revealing

    Check the current currency, not a country’s historical currency.

  • ✅ Answer & explanation

    Answer: D — Australia: Pound

    Reasoning: Australia’s currency is the Australian dollar; the other country–currency pairs are valid.

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Related practice: What is Kuwait’s currency?

  • ✅ Related answer & memory link

    Answer: Kuwaiti dinar.

    Why / remember: Kuwait uses the dinar; Australia uses the dollar. The old Australian pound is historical.

  • Confident after revision


Q143

Find the one which does not belong to that group.

(a) Regiment

(b) Lieutenant

(c) Colonel

(d) Major

Source PDF page 15.

  • 💡 Hint — try before revealing

    Distinguish the name of a military unit from the rank of a person.

  • ✅ Answer & explanation

    Answer: A — Regiment

    Reasoning: Regiment is a military unit; lieutenant, colonel and major are ranks.

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Related practice: Which is higher, major or colonel?

  • ✅ Related answer & memory link

    Answer: Colonel.

    Why / remember: Colonel ranks above major; regiment is an organisational unit rather than a rank.

  • Confident after revision


Q144

Find the one which does not belong to that group.

(a) Square

(b) Triangle

(c) Circle

(d) Cube

Source PDF page 15.

  • 💡 Hint — try before revealing

    Separate three-dimensional solids from two-dimensional plane figures.

  • ✅ Answer & explanation

    Answer: D — Cube

    Reasoning: A cube is three-dimensional; square, triangle and circle are plane figures.

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Related practice: How many faces does a cube have?

  • ✅ Related answer & memory link

    Answer: Six.

    Why / remember: A cube has six square faces, twelve edges and eight vertices; faces are not edges.

  • Confident after revision


Q145

A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76. The daily

earning of C is ?

(a) 10 Rs.

(b) 15 Rs.

(c) 20 Rs.

(d) 25 Rs.

Source PDF page 15.

  • 💡 Hint — try before revealing

    Add the pair totals, then compare with the overall total to isolate the repeated amount.

  • ✅ Answer & explanation

    Answer: C — Rs 20

    Reasoning: Add A+C=94 and B+C=76: A+B+2C=170. Subtract total 150 to obtain C=20.

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Related practice: What is A’s daily earning?

  • ✅ Related answer & memory link

    Answer: Rs 74.

    Why / remember: C=20 and A+C=94, so A=94−20=74.

  • Confident after revision


Q146

Find the one which does not belong to that group.

(a) 30

(b) 27

(c) 36

(d) 45

Source PDF page 15.

  • 💡 Hint — try before revealing

    State the common property instead of simply choosing the least familiar number.

  • ✅ Answer & explanation

    Answer: A — 30, intended pattern

    Reasoning: 27,36,45 are multiples of 9; 30 is not. Odd-one-out questions require the shared rule to be stated.

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Related practice: What is the next multiple of 9 after 45?

  • ✅ Related answer & memory link

    Answer: 54.

    Why / remember: Multiples of nine increase by nine; 45+9=54.

  • Confident after revision


Q147

Mr. and Mrs. Sajjad have seven daughters. Each daughter has one brother. What is the total number of persons in the family?

(a) 14

(b) 10

(c) 15

(d) 12

Source PDF page 15.

  • 💡 Hint — try before revealing

    All daughters can share the same brother; do not assign one brother to each.

  • ✅ Answer & explanation

    Answer: B — 10

    Reasoning: Seven daughters share one brother, plus two parents: 7+1+2=10.

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Related practice: How many children are there?

  • ✅ Related answer & memory link

    Answer: Eight.

    Why / remember: Seven daughters plus one shared son equals eight children; the two parents bring the family total to ten.

  • Confident after revision


Q148

A shepherd had 15 sheep, all sheep died except 9, then how many sheep he has?

(a) 6

(b) 9

(c) 10

(d) 12

Source PDF page 15.

  • 💡 Hint — try before revealing

    All except nine means nine did not die.

  • ✅ Answer & explanation

    Answer: B — 9

    Reasoning: All except nine died means nine survive; do not subtract again.

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Related practice: How many died?

  • ✅ Related answer & memory link

    Answer: 6.

    Why / remember: Original fifteen minus nine survivors gives six deaths. The word except identifies survivors directly.

  • Confident after revision


Q149

5 cats eat 5 mice in 5 minutes, then in how many minutes 2 cat will eat 2 mice?

(a) 2 min

(b) 1 min

(c) 5 min

(d) 10 min

Source PDF page 15.

  • 💡 Hint — try before revealing

    Find the rate for one cat and account for simultaneous work.

  • ✅ Answer & explanation

    Answer: C — 5 minutes

    Reasoning: Each cat eats one mouse in five minutes; two cats work simultaneously.

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Related practice: How long would one cat take to eat two mice at that rate?

  • ✅ Related answer & memory link

    Answer: 10 minutes.

    Why / remember: One cat handles one mouse per five minutes; two sequential mice take ten minutes for that one cat.

  • Confident after revision


Q150

Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys

between P and Q, how many boys are there in the row?

(a) 25

(b) 23

(c) 21

(d) 19

Source PDF page 15.

  • 💡 Hint — try before revealing

    Consider both possible relative orders of P and Q.

  • ✅ Answer & explanation

    Answer: A — 25 if P is left of Q; alternative arrangement gives 15

    Reasoning: Usual order gives 14+4+7=25. If Q lies left of P, Q is ninth from left and total=9+7−1=15, absent from options.

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Related practice: What extra condition makes 25 unique?

  • ✅ Related answer & memory link

    Answer: P is to the left of Q.

    Why / remember: Saying P is left of Q eliminates the fifteen-person alternative and makes twenty-five uniquely determined.

  • Confident after revision