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.
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💡 Hint — try before revealing
A sector uses radii; a segment uses a chord.
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✅ 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?
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✅ 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.
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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.
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💡 Hint — try before revealing
Angles around a point make one complete revolution.
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✅ 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?
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✅ Related answer & memory link
Answer: 180°.
Why / remember: A straight angle is half a full turn: 360°/2=180°.
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Confident after revision
Q123
20% of 25% of 100 is:
a) 25
b) 5
c) 20
d) 2
Source PDF page 13.
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💡 Hint — try before revealing
Successive percentage operations multiply their decimal factors.
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✅ Answer & explanation
Answer: B — 5
Reasoning: 0.20×0.25×100=5.
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Related practice: What is 25% of 20?
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✅ 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.
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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.
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💡 Hint — try before revealing
Express length as four times width and use area to find the scale.
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✅ 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?
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✅ Related answer & memory link
Answer: 6 units.
Why / remember: 4w²=144 gives w²=36 and positive width w=6; length is 24.
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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.
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💡 Hint — try before revealing
Find one compass rotation that satisfies both stated renamings.
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✅ 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?
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✅ Related answer & memory link
Answer: South-west.
Why / remember: The mapping rotates labels 135° counterclockwise; north becomes south-west under the same rule.
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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.
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💡 Hint — try before revealing
Calculate output per worker per month.
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✅ 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?
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✅ Related answer & memory link
Answer: 30.
Why / remember: At six fans per person-month, five workers produce 5×6=30 fans in a month.
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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.
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💡 Hint — try before revealing
Ask whether the tasks happen simultaneously or sequentially.
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✅ 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?
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✅ 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.
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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.
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💡 Hint — try before revealing
Translate after twenty years as x+20.
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✅ Answer & explanation
Answer: B — 5 years
Reasoning: x+20=5x gives x=5.
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Related practice: How old after twenty years?
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✅ Related answer & memory link
Answer: 25.
Why / remember: If present age is five, adding twenty gives twenty-five, five times the present age.
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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.
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💡 Hint — try before revealing
A 2% loss means the selling price is 98% of cost.
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✅ Answer & explanation
Answer: C — Rs 2940
Reasoning: Selling price=3000×0.98=2940.
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Related practice: What is the loss amount?
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✅ Related answer & memory link
Answer: Rs 60.
Why / remember: Loss=0.02×3000=Rs 60; subtracting it gives Rs 2940.
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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.
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💡 Hint — try before revealing
Use the original value as the percentage-change denominator.
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✅ 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?
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✅ 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.
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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.
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💡 Hint — try before revealing
The angle is formed by two rays sharing one endpoint.
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✅ 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?
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✅ Related answer & memory link
Answer: Vertex.
Why / remember: The common endpoint is the vertex; the rays are the angle’s arms.
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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.
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💡 Hint — try before revealing
Identify the ladder as the hypotenuse and apply Pythagoras.
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✅ 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?
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✅ 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.
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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.
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💡 Hint — try before revealing
Convert the ratio into a fraction of the full amount.
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✅ 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?
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✅ Related answer & memory link
Answer: Rs 37,500.
Why / remember: R has five of ten parts, so R receives 5/10×75000=Rs 37500.
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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.
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💡 Hint — try before revealing
Undo multiplication by two-fifths by multiplying by five-halves.
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✅ 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?
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✅ Related answer & memory link
Answer: 900.
Why / remember: Once x=1500, three-fifths is 1500×3/5=900.
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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.
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💡 Hint — try before revealing
Volume uses cubic units, while surface area uses square units.
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✅ 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?
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✅ Related answer & memory link
Answer: 6×11²=726 cm².
Why / remember: A cube has six square faces; total area=6×11²=726 cm².
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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.
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💡 Hint — try before revealing
Calculate houses per person-week before scaling.
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✅ 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?
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✅ Related answer & memory link
Answer: 10.
Why / remember: Two houses per person-week times five people gives ten houses in one week.
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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.
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💡 Hint — try before revealing
Use the complement of the vaccinated percentage.
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✅ 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?
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✅ Related answer & memory link
Answer: 154 million.
Why / remember: 70% of 220 million is 154 million; the remaining 66 million makes the total 220.
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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.
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💡 Hint — try before revealing
The denominator is the sum of pass and fail ratio parts.
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✅ Answer & explanation
Answer: C — 15
Reasoning: Failure share=5/(7+5); 36×5/12=15.
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Related practice: How many pass?
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✅ Related answer & memory link
Answer: 21.
Why / remember: Seven of twelve parts pass: 36×7/12=21; fifteen fail.
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Confident after revision
Q139
Who invented '0'?
A. Brahmagupta
B. Aryabhata
C. Al-Khwarizmi
D. Al Kindi
Source PDF page 14.
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💡 Hint — try before revealing
Distinguish formal arithmetic rules for zero from the long history of zero notation.
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✅ 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?
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✅ 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.
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Confident after revision
Q140
What is the supplement of 600?
A. 300
B. -600
C. 1200
D. 900
Source PDF page 14.
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💡 Hint — try before revealing
Supplementary means a straight-angle total, not a right-angle total.
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✅ 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°?
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✅ Related answer & memory link
Answer: 30°.
Why / remember: Complementary angles sum to ninety degrees, so the complement of sixty is thirty.
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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.
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💡 Hint — try before revealing
Compare the sequence with successive factorials.
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✅ 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?
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✅ Related answer & memory link
Answer: 120.
Why / remember: 5!=5×4×3×2×1=120; replacing 96 restores the factorial sequence.
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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.
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💡 Hint — try before revealing
Check the current currency, not a country’s historical currency.
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✅ 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?
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✅ Related answer & memory link
Answer: Kuwaiti dinar.
Why / remember: Kuwait uses the dinar; Australia uses the dollar. The old Australian pound is historical.
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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.
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💡 Hint — try before revealing
Distinguish the name of a military unit from the rank of a person.
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✅ 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?
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✅ Related answer & memory link
Answer: Colonel.
Why / remember: Colonel ranks above major; regiment is an organisational unit rather than a rank.
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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.
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💡 Hint — try before revealing
Separate three-dimensional solids from two-dimensional plane figures.
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✅ 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?
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✅ Related answer & memory link
Answer: Six.
Why / remember: A cube has six square faces, twelve edges and eight vertices; faces are not edges.
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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.
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💡 Hint — try before revealing
Add the pair totals, then compare with the overall total to isolate the repeated amount.
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✅ 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?
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✅ Related answer & memory link
Answer: Rs 74.
Why / remember: C=20 and A+C=94, so A=94−20=74.
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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.
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💡 Hint — try before revealing
State the common property instead of simply choosing the least familiar number.
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✅ 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?
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✅ Related answer & memory link
Answer: 54.
Why / remember: Multiples of nine increase by nine; 45+9=54.
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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.
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💡 Hint — try before revealing
All daughters can share the same brother; do not assign one brother to each.
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✅ 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?
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✅ 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.
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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.
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💡 Hint — try before revealing
All except nine means nine did not die.
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✅ 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?
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✅ Related answer & memory link
Answer: 6.
Why / remember: Original fifteen minus nine survivors gives six deaths. The word except identifies survivors directly.
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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.
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💡 Hint — try before revealing
Find the rate for one cat and account for simultaneous work.
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✅ 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?
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✅ 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.
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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.
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💡 Hint — try before revealing
Consider both possible relative orders of P and Q.
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✅ 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?
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✅ 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.
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Confident after revision