05 · General Ability — Q121–150 — KIPS Mock Tests — CSS MPT 2026

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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

Complete the series: 4,8,9,13,14,18, __?

(a) 22

(b) 32

(d) 19

Source PDF page 12.

💡 Hint — try before revealing

Test an alternating difference rather than one constant increment.
✅ Answer & explanation

Answer: D — 19

Reasoning: Alternate +4 and +1: 4,8,9,13,14,18,19.

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Related practice: What follows 19?

✅ Related answer & memory link

Answer: 23.

Why / remember: After adding one to reach 19, the next step adds four, giving 23.
Confident after revision

Q122

Which Muslim Scientist wrote first book on Algebra?

(a) Al-Khwarizmi

(b) Ibn Sina

(d) Euclid

Source PDF page 12.

💡 Hint — try before revealing

Distinguish a conventional historical title from a claim about the first work in every civilisation.
✅ Answer & explanation

Answer: A — Al-Khwarizmi

Reasoning: His influential treatise on al-jabr gave algebra its name. First book is too broad across all civilisations.

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Related practice: What mathematical word also derives from his name?

✅ Related answer & memory link

Answer: Algorithm.

Why / remember: Algorithm derives from Latinised forms of al-Khwarizmi’s name; algebra derives from al-jabr in his treatise’s title.
Confident after revision

Q123

What is the largest known Prime Number?

(a) 2^82,589,933-3

(b) 2^82,589,933-1

(d) None of these

Source PDF page 12.

💡 Hint — try before revealing

Largest known is date-sensitive; inspect the exponent, not just the printed option letter.
✅ Answer & explanation

Answer: D — None, current record

Reasoning: The listed 2^82,589,933−1 was superseded. GIMPS lists 2^136,279,841−1 as the largest known prime when checked on 1 October 2026. GIMPS.

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Related practice: What form defines a Mersenne number?

✅ Related answer & memory link

Answer: 2^p−1.

Why / remember: A Mersenne number has form 2^p−1, but not every such number is prime. The known record can change after discovery.
Confident after revision

Q124

1 acre is equal to _ square foot.

(a) 45434 square feet

(b) 34343 square feet

(d) 43560 square feet

Source PDF page 12.

💡 Hint — try before revealing

Use the standard area conversion, not a length conversion.
✅ Answer & explanation

Answer: D — 43,560 sq ft

Reasoning: One acre equals 43,560 square feet.

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Related practice: How many square yards equal an acre?

✅ Related answer & memory link

Answer: 4840.

Why / remember: A square yard contains nine square feet, so 43560/9=4840 square yards per acre.
Confident after revision

Q125

If the sum of two numbers is 16, and their product is 63. Then the larger number is

(a) 9

(b) 10

(d) 12

Source PDF page 12.

💡 Hint — try before revealing

Find two factors of the product whose sum matches the total.
✅ Answer & explanation

Answer: A — 9

Reasoning: The factor pair 7 and 9 has product 63 and sum 16.

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Related practice: What quadratic has these roots?

✅ Related answer & memory link

Answer: x²−16x+63=0.

Why / remember: For roots 7 and 9, the monic quadratic is x²−(7+9)x+7×9=x²−16x+63.
Confident after revision

Q126

If 75 percent of a number is y. And, 80 percent of y is 60, then what is the number?

(a) 100

(b) 110

(d) 130

Source PDF page 12.

💡 Hint — try before revealing

Work backwards through the nested percentages.
✅ Answer & explanation

Answer: A — 100

Reasoning: 0.8y=60 gives y=75; 0.75x=75 gives x=100.

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Related practice: What fraction of x is 80% of 75% of x?

✅ Related answer & memory link

Answer: 60%.

Why / remember: 0.80×0.75=0.60; successive percentages multiply to 60%, rather than adding to 155%.
Confident after revision

Q127

There are 20 Multiple Choice Questions (MCQs) in an exam with 4 options in every question. A student attempted the exam

just on random guessing. How many questions he will attempt correctly?

(a) 4

(b) 5

(d) 7

Source PDF page 12.

💡 Hint — try before revealing

Expected score is number of guesses times probability of success, not a guaranteed score.
✅ Answer & explanation

Answer: B — 5 expected, not guaranteed

Reasoning: Each independent guess has probability 1/4; expected correct=20×1/4=5. The actual score is random.

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Related practice: Can the student get zero correct?

✅ Related answer & memory link

Answer: Yes; expectation is not certainty.

Why / remember: Even an unlikely outcome remains possible; independent random guessing can produce zero correct answers.
Confident after revision

Q128

Find the Missing Number in the series 1, 6,13, 22, 33, ?

(a) 36

(b) 40

(d) 52

Source PDF page 12.

💡 Hint — try before revealing

Inspect how the gaps themselves change.
✅ Answer & explanation

Answer: C — 46

Reasoning: Differences are 5,7,9,11; next is 13, so 33+13=46.

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Related practice: What is the following term?

✅ Related answer & memory link

Answer: 61, adding 15.

Why / remember: The gaps increase by two; after adding 13 to reach 46, add 15 to reach 61.
Confident after revision

Q129

One Gross is equal to __?

(a) 5 dozen

(b) 10 dozen

(d) None of these

Source PDF page 12.

💡 Hint — try before revealing

A gross is a dozen dozens.
✅ Answer & explanation

Answer: C — 12 dozen

Reasoning: A gross is 12×12=144 items.

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Related practice: How many items are in a score?

✅ Related answer & memory link

Answer: 20.

Why / remember: A score is twenty items; it is a separate counting term from dozen and gross.
Confident after revision

Q130

Co-ordinates of Origin are: ?

(a) (0,1)

(b) (1,1)

(d) (1,0)

Source PDF page 13.

💡 Hint — try before revealing

The origin is where both coordinate displacements are zero.
✅ Answer & explanation

Answer: C — (0,0)

Reasoning: The origin is the intersection of the coordinate axes.

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Related practice: What is a point’s x-coordinate called?

✅ Related answer & memory link

Answer: Its abscissa.

Why / remember: Abscissa is x-coordinate; ordinate is y-coordinate. Learn the pair with their axis letters.
Confident after revision

Q131

Zero is a __ number?

(a) Odd number

(b) Even number

(d) None of these

Source PDF page 13.

💡 Hint — try before revealing

Zero can belong to more than one valid number class.
⚠️ Answer & question issue

Answer: B and C — even and whole

Reasoning: Zero is an integer divisible by 2 and also a whole number. The MCQ has two true options.

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Related practice: Is zero positive or negative?

✅ Related answer & memory link

Answer: Neither.

Why / remember: Zero is neither positive nor negative, yet is an even integer and a whole number.
Confident after revision

Q132

A Quadrillion has __ zeros?

(a) 15 zeros

(b) 18 zeros

(d) None of these

Source PDF page 13.

💡 Hint — try before revealing

State the short-scale convention before counting zeros.
✅ Answer & explanation

Answer: A — 15 zeros, short scale

Reasoning: A short-scale quadrillion is 10^15. Long-scale usage differs, so the convention matters.

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Related practice: How many zeros are in a short-scale trillion?

✅ Related answer & memory link

Answer: 12.

Why / remember: In the short scale, trillion=10^12 and quadrillion=10^15; each step adds three zeros.
Confident after revision

Q133

Who is known as the Father of Geometry?

(a) Kepler

(b) Euclid

(d) Newton

Source PDF page 13.

💡 Hint — try before revealing

Think of Elements and the classical systematisation of geometry.
✅ Answer & explanation

Answer: B — Euclid

Reasoning: Euclid’s Elements systematised geometry; father of geometry is a conventional honorific.

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Related practice: What is a geometric axiom?

✅ Related answer & memory link

Answer: A foundational statement accepted without proof within a system.

Why / remember: An axiom is accepted as a starting statement within a system; a theorem is established from such premises.
Confident after revision

Q134

What is the value of x in the equation: 0.2x − 0.03 = 0.4 × 0.05?

(a) 0.20

(b) 0.02

(d) 0.025

Source PDF page 13.

💡 Hint — try before revealing

Compute each side’s constants before isolating x.
✅ Answer & explanation

Answer: C — 0.25

Reasoning: Right side=0.02; 0.2x=0.05, so x=0.25.

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Related practice: What is 0.2×0.25?

✅ Related answer & memory link

Answer: 0.05.

Why / remember: 0.2×0.25=0.05; substituting back checks whether x satisfies the equation.
Confident after revision

Q135

P is 50 % more than q. Find the ratio of p to q.

(a) 3:2

(b) 1:5

(d) 1:2

Source PDF page 13.

💡 Hint — try before revealing

Translate fifty percent more into a multiplier, then form the ratio.
✅ Answer & explanation

Answer: A — 3:2

Reasoning: p=1.5q, so p:q=1.5:1=3:2.

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Related practice: By what percent is q less than p?

✅ Related answer & memory link

Answer: 33⅓%, not 50%.

Why / remember: If p=1.5q, the shortfall q below p is 0.5q/1.5q=1/3, or 33⅓%.
Confident after revision

Q136

Bilal‘s salary is 120% of Ahmed salary. And, Saba‘s salary is 60% of Ahmed‘s salary. The total of all three salaries is

Rs.112,000. What is Saba‘s salary?

(a) Rs. 24,000

(b) Rs. 24,500

(d) Rs. 25,500

Source PDF page 13.

💡 Hint — try before revealing

Express all three salaries in terms of Ahmed’s salary.
✅ Answer & explanation

Answer: A — Rs 24,000

Reasoning: Total=1.2A+A+0.6A=2.8A=112000. Ahmed=40000; Saba=24000.

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Related practice: What is Bilal’s salary?

✅ Related answer & memory link

Answer: Rs 48,000.

Why / remember: Bilal is 1.2×40000=48000; Saba is 0.6×40000=24000. Their total checks Rs 112000.
Confident after revision

Q137

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

(a) 4

(b) 6

(d) 2

Source PDF page 13.

💡 Hint — try before revealing

Cube each ratio expression before adding.
✅ Answer & explanation

Answer: A — 4

Reasoning: Numbers=2k,3k; cubes sum=35k³=280. k=2, so smaller=4.

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Related practice: What is the larger number?

✅ Related answer & memory link

Answer: 6.

Why / remember: With k=2, the larger number 3k is 6; 4³+6³=64+216=280.
Confident after revision

Q138

What is the first 70 odd numbers added together?

(a) 4900

(b) 4970

(d) None of these

Source PDF page 13.

💡 Hint — try before revealing

Recall the square-number identity for the first n odd numbers.
✅ Answer & explanation

Answer: A — 4900

Reasoning: The first n positive odd numbers sum to n²; 70²=4900.

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Related practice: Sum of first 12 positive odd numbers?

✅ Related answer & memory link

Answer: 144.

Why / remember: For n=12 the sum is 12²=144; this identity applies to consecutive positive odd numbers starting at one.
Confident after revision

Q139

What fraction of an hour is a second?

(a) 1/24

(b) 1/60

(d) 1/3600

Source PDF page 13.

💡 Hint — try before revealing

Convert the entire hour to seconds before forming the fraction.
✅ Answer & explanation

Answer: D — 1/3600

Reasoning: An hour has 60×60 seconds.

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Related practice: What fraction of an hour is 45 seconds?

✅ Related answer & memory link

Answer: 1/80.

Why / remember: 45/3600 simplifies by 45 to 1/80 of an hour.
Confident after revision

Q140

The first even number is:

(a) 0

(b) 1

(d) 3

Source PDF page 13.

💡 Hint — try before revealing

Clarify whether the domain is integers, nonnegative integers or positive integers.
⚠️ Answer & question issue

Answer: Ambiguous — A for nonnegative integers; C for positive integers

Reasoning: Even integers extend indefinitely below zero, so there is no first even integer without a domain. Starting at zero gives 0; positive evens start at 2.

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Related practice: What is the smallest positive even number?

✅ Related answer & memory link

Answer: 2.

Why / remember: Positive excludes zero, so the first positive even integer is 2; all even integers have no smallest member.
Confident after revision

Q141

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

(a) 8.2

(b) 4.2

(d) 7.2

Source PDF page 13.

💡 Hint — try before revealing

Keep distance and time units consistent.
✅ Answer & explanation

Answer: D — 7.2 km/h

Reasoning: 600 m/5 min=120 m/min; multiply by 60 and divide by 1000.

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Related practice: What is the speed in m/s?

✅ Related answer & memory link

Answer: 2.

Why / remember: 600 metres in 300 seconds gives 600/300=2 m/s; multiplying by 3.6 converts it to 7.2 km/h.
Confident after revision

Q142

What is the average of 3%, 7%, 10% and 16%?

(a) 8%

(b) 9%

(d) 11%

Source PDF page 14.

💡 Hint — try before revealing

A simple average assumes each listed percentage has equal weight.
✅ Answer & explanation

Answer: B — 9%

Reasoning: Arithmetic mean=(3+7+10+16)/4=9%. Weighting would be needed if different base amounts were intended.

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Related practice: What is their total in percentage points?

✅ Related answer & memory link

Answer: 36 percentage points.

Why / remember: 3+7+10+16=36 percentage points; dividing by four gives a 9% arithmetic mean.
Confident after revision

Q143

Two taps X and Y can fill a tank in 10 hours and 15 hours respectively. If the both taps are opened together, the tank will be

full in___?

(a) 3 hours

(b) 4 hours

(d) 6 hours

Source PDF page 14.

💡 Hint — try before revealing

Add filling rates, not the times themselves.
✅ Answer & explanation

Answer: D — 6 hours

Reasoning: Rates add: 1/10+1/15=1/6 tank per hour.

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Related practice: How much is filled in three hours?

✅ Related answer & memory link

Answer: Half the tank.

Why / remember: The combined rate is 1/6 tank per hour; in three hours it fills 3/6=1/2 tank.
Confident after revision

Q144

If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in?

(a) 1.8 days

(b) 1.5 days

(d) 1 day

Source PDF page 14.

💡 Hint — try before revealing

Convert the job to person-days per sofa before scaling workers and output.
✅ Answer & explanation

Answer: C — 1.2 days

Reasoning: One sofa requires 6×2/10=1.2 person-days. Eight sofas require 9.6 person-days; divide by 8 workers.

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Related practice: What assumption is essential?

✅ Related answer & memory link

Answer: Equal, constant productivity with no interference.

Why / remember: The inverse worker-time relationship assumes equal constant productivity, no bottlenecks and divisible work.
Confident after revision

Q145

If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?

(a) 1

(b) 5

(d) 25

Source PDF page 14.

💡 Hint — try before revealing

Work increases with tables and decreases with the number of equally productive workers.
✅ Answer & explanation

Answer: C — 10 days

Reasoning: Each table needs 10 person-days. Five tables need 50 person-days; five workers take ten days.

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Related practice: How long would ten workers need for five tables?

✅ Related answer & memory link

Answer: 5 days.

Why / remember: Five tables require fifty person-days; ten workers therefore need five days.
Confident after revision

Q146

10 shoes are placed at somewhere in room. What is probability that a pair of shoes will always be together?

(a) 8/10

(b) 2/5

(d) 9/10

Source PDF page 14.

💡 Hint — try before revealing

Probability is meaningless until the random process is specified.
✅ Answer & explanation

Answer: C — 1/5 only under an unstated row-arrangement model

Reasoning: If ten distinct shoes are randomly arranged in a row, a specified pair is adjacent with probability 2×9!/10!=1/5. Randomly selecting two shoes gives 1/9 for a matching pair; the question omits the experiment.

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Related practice: What must be specified before calculating probability?

✅ Related answer & memory link

Answer: The random experiment and sample space.

Why / remember: Arranging shoes in a row and selecting two shoes have different sample spaces and therefore different probabilities.
Confident after revision

Q147

‗A‘ starts walking towards North, turns left, again turns left, turns right, again turns right. In which direction is A walking

now?

(a) East

(b) North

(d) West

Source PDF page 14.

💡 Hint — try before revealing

Update the facing direction after each turn, not from the original heading every time.
✅ Answer & explanation

Answer: B — North

Reasoning: Directions change N→W→S→W→N.

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Related practice: What would a final left turn produce?

✅ Related answer & memory link

Answer: West.

Why / remember: A left turn from north points west; use a compass sketch to avoid reversing left and right.
Confident after revision

Q148

Three of the following four words are alike in a certain way and one is different. Pick the odd one out.

(a) Seismology

(b) Terminology

(d) Pedology

Source PDF page 14.

💡 Hint — try before revealing

Three terms name fields of study; one names their vocabulary generally.
✅ Answer & explanation

Answer: B — Terminology

Reasoning: The others name particular scientific fields; terminology denotes a subject’s specialised vocabulary.

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Related practice: What does pedology study?

✅ Related answer & memory link

Answer: Soils.

Why / remember: Pedology studies soils; pedagogy concerns teaching. The similar spellings are a common trap.
Confident after revision

Q149

In a code language, FRIEND is written as GQJDOC. How will PEACE be written in that language?

(a) QFBBF

(b) ODBBF

(d) QDBDF

Source PDF page 14.

💡 Hint — try before revealing

Compare alternating alphabet shifts and wrap A backwards to Z.
✅ Answer & explanation

Answer: D — QDBDF

Reasoning: Alternate +1,−1,+1,−1,+1 alphabet shifts, as FRIEND→GQJDOC.

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Related practice: Encode CAT by this rule.

✅ Related answer & memory link

Answer: D Z U, or DZU.

Why / remember: C→D, A→Z and T→U gives DZU under +1,−1,+1.
Confident after revision

Q150

When ―SIR‖ is coded as ―PSPIPR‖ then how MAN will be coded.

(a) PMANP

(b) PMPAPN

(d) MPANP

Source PDF page 14.

💡 Hint — try before revealing

Check whether the code inserts a fixed letter before each original letter.
✅ Answer & explanation

Answer: B — PMPAPN

Reasoning: Prefix P to each letter: SIR→PS PI PR; MAN→PM PA PN.

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Related practice: Encode GO in the same rule.

✅ Related answer & memory link

Answer: PGPO.

Why / remember: GO becomes PG plus PO, yielding PGPO; the original letters keep their order.
Confident after revision