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
4, 6, 12, 14, 28, 30, ___?
a) 32
b) 64
c) 62
d) 60
Source PDF page 9.
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💡 Hint — try before revealing
Test alternating operations rather than one repeated difference.
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✅ Answer & explanation
Answer: D — 60
Reasoning: Alternate +2 and ×2: 4→6→12→14→28→30→60.
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Related practice: What follows 60 under the same rule?
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✅ Related answer & memory link
Answer: 62.
Why / remember: After the ×2 step, the next operation is +2; 60 therefore becomes 62.
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Confident after revision
Q92
, 120, 40, 10, 2.
a) 480
b) 240
c) 220
d) 120
Source PDF page 9.
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💡 Hint — try before revealing
Inspect the successive divisors between neighbouring terms.
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✅ Answer & explanation
Answer: B — 240
Reasoning: Divide successively by 2, 3, 4 and 5: 240→120→40→10→2.
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Related practice: What follows 2 if the pattern continues?
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✅ Related answer & memory link
Answer: 1/3, after division by 6.
Why / remember: The divisors increase 2,3,4,5, so the next is 6: 2÷6=1/3.
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Confident after revision
Q93
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number
of votes was 7500, the number of valid votes that the other candidate got?
a) 2700
b) 2900
c) 3000
d) 3100
Source PDF page 9.
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💡 Hint — try before revealing
Find valid votes first, then the other candidate’s share of that smaller total.
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✅ Answer & explanation
Answer: A — 2700
Reasoning: Valid votes = 7500×0.8=6000. The other candidate gets 45%: 6000×0.45=2700.
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Related practice: How many votes were invalid?
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✅ Related answer & memory link
Answer: 1500.
Why / remember: Invalid votes are 20% of all 7500 votes: 0.20×7500=1500.
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Confident after revision
Q94
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the
sum of their marks. The marks obtained by them are?
a) 39, 30
b) 41, 32
c) 42, 33
d) 43, 34
Source PDF page 9.
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💡 Hint — try before revealing
The difference between the percentage shares corresponds to nine marks.
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✅ Answer & explanation
Answer: C — 42 and 33
Reasoning: The difference is 56%−44%=12% of the total. Total=9/0.12=75; shares are 42 and 33.
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Related practice: What percentage did the lower scorer obtain of their combined marks?
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✅ Related answer & memory link
Answer: 44%.
Why / remember: With only two shares, the lower percentage is 100−56=44%.
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Confident after revision
Q95
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year
is:
a) 4.37%
b) 5%
c) 6%
d) 8.75%
Source PDF page 9.
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💡 Hint — try before revealing
Separate a simple annual average from a compounded annual rate.
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✅ Answer & explanation
Answer: B — 5%, simple annual average
Reasoning: Total growth=(262500−175000)/175000=50%; divide by 10 for 5%. Compound annual growth is about 4.14%, not 5%.
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Related practice: What formula gives compound annual growth?
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✅ Related answer & memory link
Answer: [(Final/Initial)^(1/years)−1]×100.
Why / remember: Compounding asks what repeated annual multiplier produces the full final-to-initial ratio; take the nth root.
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Confident after revision
Q96
19 % of 900?
a) 100
b) 20
c) 81
d) None of these
Source PDF page 9.
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💡 Hint — try before revealing
Convert a percentage to a decimal before multiplying.
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✅ Answer & explanation
Answer: D — None; 171
Reasoning: 19%×900=0.19×900=171.
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Related practice: What is 21% of 900?
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✅ Related answer & memory link
Answer: 189.
Why / remember: 21% of 900 is 0.21×900=189; 1% is 9, so 21 lots give the same result.
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Confident after revision
Q97
What percent is 70 of 280?
a) 25%
b) 50%
c) 75%
d) None of these
Source PDF page 9.
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💡 Hint — try before revealing
Use part ÷ whole ×100, keeping the denominator in the correct position.
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✅ Answer & explanation
Answer: A — 25%
Reasoning: 70/280×100=25%. Divide part by whole before multiplying by 100.
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Related practice: What fraction equals 25%?
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✅ Related answer & memory link
Answer: 1/4.
Why / remember: 25/100 reduces to 1/4; percentages and fractions are alternate forms of the same proportion.
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Confident after revision
Q98
The ratio of the number of boys and girls in a college is 7: 8. If the percentage increases in the number of boys and girls by
20% and 10% respectively, what will be the new ratio?
a) 8:9
b) 17:18
c) 21:22
d) Cannot be determined
Source PDF page 10.
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💡 Hint — try before revealing
Apply each increase to its own original ratio part.
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✅ Answer & explanation
Answer: C — 21:22
Reasoning: New ratio=7×1.20 : 8×1.10=8.4:8.8=21:22.
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Related practice: What happens if both groups grow by the same percentage?
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✅ Related answer & memory link
Answer: Their ratio stays unchanged.
Why / remember: Equal percentage changes multiply both parts by the same factor, which cancels in a ratio.
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Confident after revision
Q99
Salaries of Rizwan and Salman are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57.
What is Salman salary?
a) Rs. 17,000
b) Rs. 20,000
c) Rs. 25, 000
d) Rs. 34, 000
Source PDF page 10.
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💡 Hint — try before revealing
Write an equation using the new ratio, but check whether the question asks for the old salary.
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✅ Answer & explanation
Answer: D — Rs 34,000, original salary
Reasoning: Let salaries be 2x and 3x. 57(2x+4000)=40(3x+4000), so x=11333⅓ and Salman’s original salary=34000.
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Related practice: What is Salman’s salary after the increase?
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✅ Related answer & memory link
Answer: Rs 38,000.
Why / remember: The original Rs 34,000 plus Rs 4,000 gives Rs 38,000; the two answers belong to different time points.
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Confident after revision
Q100
Point X is in North of point Y and point Y is in east of point Z. To which direction is point X w.r.t. Z?
a) North-east
b) North-west
c) East
d) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Draw east and north displacements from the reference point.
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✅ Answer & explanation
Answer: A — North-east
Reasoning: From Z go east to Y, then north to X; the displacement has east and north components.
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Related practice: What direction is Z from X?
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✅ Related answer & memory link
Answer: South-west.
Why / remember: Reversing the direction reverses both components: north-east becomes south-west.
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Confident after revision
Q101
Point A is located 8km south of B and C is located 6km west of A. What is the distance between C and B?
a) 8km
b) 12km
c) 10km
d) 9km
Source PDF page 10.
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💡 Hint — try before revealing
The two perpendicular legs require the Pythagorean theorem.
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✅ Answer & explanation
Answer: C — 10 km
Reasoning: The perpendicular legs are 8 and 6 km: √(64+36)=10.
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Related practice: What familiar right-triangle ratio is this?
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✅ Related answer & memory link
Answer: 3:4:5 scaled by 2.
Why / remember: 6:8:10 reduces to 3:4:5, a useful right-triangle triple.
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Confident after revision
Q102
A is the father of B, but B is not the son of A. what is B to A?
a) Daughter
b) Father
c) Mother
d) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Identify the stated parent before deciding the child’s relationship.
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✅ Answer & explanation
Answer: A — Daughter
Reasoning: Under the usual binary family-relation convention, a child who is not a son is a daughter.
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Related practice: If B is A’s daughter, A is B’s what?
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✅ Related answer & memory link
Answer: Father, as stated in the question.
Why / remember: The question explicitly supplies that A is the father; the answer does not come from the letters themselves.
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Confident after revision
Q103
The old man’s son is my son’s uncle. What is the old man to me?
a) Brother
b) Father
c) Uncle
d) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Ask whether the uncle could belong to either parent’s family.
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⚠️ Answer & question issue
Answer: B — Father, intended; not unique
Reasoning: If the old man’s son is my brother, the old man is my father. The uncle could instead be related through my spouse, so father-in-law is also possible.
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Related practice: What extra fact makes father certain?
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✅ Related answer & memory link
Answer: That the uncle is my own brother.
Why / remember: Stating that the uncle is my own brother removes the spouse-side possibility and fixes the older man as my father.
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Confident after revision
Q104
Two dice are thrown simultaneously. What is the probability of getting two numbers, whose product is even?
a) 1/2
b) 3/4
c) 3/8
d) 5/16
Source PDF page 10.
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💡 Hint — try before revealing
It is easier to calculate the complement: when is a product odd?
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✅ Answer & explanation
Answer: B — 3/4
Reasoning: A product is odd only if both dice show odd numbers: (3/6)²=1/4. Complement=3/4.
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Related practice: What is the probability both dice are odd?
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✅ Related answer & memory link
Answer: 1/4.
Why / remember: Each die has three odd faces out of six, so independent probabilities multiply: 1/2×1/2=1/4.
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Confident after revision
Q105
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20
years. The present age of the husband is:
a) 35 years
b) 40 years
c) 50 years
d) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Convert averages into totals and add the years gained by every person.
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✅ Answer & explanation
Answer: B — 40 years
Reasoning: Family total now=3×27+9=90. Wife+child now=2×20+10=50. Husband=40.
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Related practice: Why add 9 to the first total?
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✅ Related answer & memory link
Answer: Three people each age three years.
Why / remember: A three-person family gains 3×3=9 total age-years in three years, not just three.
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Confident after revision
Q106
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red
nor green?
a) 1/3
b) 3/4
c) 7/19
d) 9/21
Source PDF page 10.
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💡 Hint — try before revealing
Neither of two colours means the remaining colour; count all balls in the denominator.
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✅ Answer & explanation
Answer: A — 1/3
Reasoning: Neither red nor green means blue. There are 7 blue among 21 balls: 7/21=1/3.
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Related practice: Probability of red?
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✅ Related answer & memory link
Answer: 8/21.
Why / remember: Red probability is 8/(8+6+7)=8/21, assuming one uniformly random draw.
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Confident after revision
Q107
Naeem sold a computer for Rs 25000 at which he suffered 20 Percent loss. Find the purchase price of the computer?
a) 31000
b) 41250
c) 31250
d) None of these
Source PDF page 10.
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💡 Hint — try before revealing
A 20% loss means selling price is 80% of cost price.
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✅ Answer & explanation
Answer: C — Rs 31,250
Reasoning: Selling price is 80% of cost. Cost=25000/0.8=31250.
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Related practice: What would a 20% profit selling price be?
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✅ Related answer & memory link
Answer: Rs 37,500.
Why / remember: After finding cost Rs 31,250, multiply by 1.20 for a 20% profit: Rs 37,500.
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Confident after revision
Q108
Two sides of a right triangle are 12 & 13. Which of the following could be the length of third side?
a) 5
b) √31
c) 11
d) √313
Source PDF page 10.
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💡 Hint — try before revealing
Check whether the stated sides must be legs or whether one may be the hypotenuse.
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⚠️ Answer & question issue
Answer: A and D — 5 or √313
Reasoning: If 13 is the hypotenuse, third side=√(169−144)=5. If 12 and 13 are legs, hypotenuse=√313. Two listed options work.
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Related practice: What extra condition selects 5 uniquely?
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✅ Related answer & memory link
Answer: State that 13 is the hypotenuse.
Why / remember: If 13 is explicitly the hypotenuse, the remaining leg is √(13²−12²)=5; otherwise another arrangement is possible.
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Confident after revision
Q109
If A+B=2C and C+D=2A, then:
a) A+C=B+D
b) A+C=2D
c) A+D=B+C
d) A+C=2B
Source PDF page 10.
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💡 Hint — try before revealing
Translate each twice relationship into an equation before adding.
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✅ Answer & explanation
Answer: A — A+C=B+D
Reasoning: B=2C−A and D=2A−C; adding gives B+D=A+C.
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Related practice: If A=3 and C=4, what are B and D?
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✅ Related answer & memory link
Answer: B=5 and D=2.
Why / remember: With A=3 and C=4, B=2C−A=5 and D=2A−C=2; both sides of A+C=B+D equal 7.
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Confident after revision
Q110
Find out the two signs to be interchanged for making following equation correct: 5+3x8-12/4=3
a) + and –
b) - and ÷
c) + and ×
d) + and ÷
Source PDF page 11.
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💡 Hint — try before revealing
After swapping the signs, apply normal operator precedence.
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✅ Answer & explanation
Answer: B — minus and division
Reasoning: After exchange: 5+3×8÷12−4=5+2−4=3. Apply multiplication/division before addition/subtraction.
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Related practice: What is 18÷3×2?
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✅ Related answer & memory link
Answer: 12; evaluate equal-precedence operations left to right.
Why / remember: Multiplication and division have equal precedence, so 18÷3×2 is evaluated left to right: 6×2=12.
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Confident after revision
Q111
A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl gets Rs.2.40,
then the number of girls is:
a) 35
b) 40
c) 45
d) 50
Source PDF page 11.
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💡 Hint — try before revealing
Compare the actual payment with an all-boys baseline.
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✅ Answer & explanation
Answer: B — 40 girls
Reasoning: If everyone received Rs 3.60, total=360. Each girl lowers it by 1.20; girls=(360−312)/1.20=40.
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Related practice: How many boys are there?
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✅ Related answer & memory link
Answer: 60.
Why / remember: The total is 100 children; subtract 40 girls to obtain 60 boys.
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Confident after revision
Q112
If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be?
a) 10
b) 20
c) 30
d) 40
Source PDF page 11.
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💡 Hint — try before revealing
Multiply successive price factors; do not simply subtract the percentages.
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✅ Answer & explanation
Answer: A — 10% decrease
Reasoning: Price factor=0.75×1.20=0.90. The printed options omit the percent sign and direction.
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Related practice: What increase reverses a 25% decrease?
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✅ Related answer & memory link
Answer: 33⅓%.
Why / remember: After a 25% fall, the base is 75. Restoring 25 requires 25/75=33⅓% growth.
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Confident after revision
Q113
A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are:
a) 500
b) 600
c) 800
d) 1000
Source PDF page 11.
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💡 Hint — try before revealing
The passing score is obtained marks plus the shortfall.
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✅ Answer & explanation
Answer: A — 500
Reasoning: Pass marks=125+40=165=33% of total. Total=165/0.33=500.
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Related practice: What are 40% of the total marks?
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✅ Related answer & memory link
Answer: 200.
Why / remember: Once the total is 500, 40% equals 0.40×500=200.
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Confident after revision
Q114
If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?
a) 5/36
b) 4/36
c) 1/12
d) 1/2
Source PDF page 11.
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💡 Hint — try before revealing
List ordered dice pairs: (2,6) differs from (6,2).
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✅ Answer & explanation
Answer: A — 5/36
Reasoning: Sum 8 comes from (2,6),(3,5),(4,4),(5,3),(6,2): five of 36 ordered outcomes.
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Related practice: Which sum has six ordered outcomes?
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✅ Related answer & memory link
Answer: 7.
Why / remember: Sum seven has six ordered outcomes, from (1,6) through (6,1), among 36 equally likely pairs.
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Confident after revision
Q115
A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month
of 30 days beginning with a Sunday is:
a) 285
b) 290
c) 297
d) 305
Source PDF page 11.
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💡 Hint — try before revealing
Weight each daily average by how many days of that type occur.
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✅ Answer & explanation
Answer: A — 285
Reasoning: A 30-day month starting Sunday has five Sundays and 25 other days. Average=(5×510+25×240)/30=285.
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Related practice: Why not average 510 and 240 directly?
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✅ Related answer & memory link
Answer: The two daily categories occur unequal numbers of times.
Why / remember: A simple mean of the two attendance figures wrongly gives both types equal weight even though there are five versus twenty-five days.
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Confident after revision
Q116
A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half.
The number of pupils in the class is:
a) 45
b) 40
c) 39
d) 37
Source PDF page 11.
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💡 Hint — try before revealing
A change in total equals number of students times change in mean.
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✅ Answer & explanation
Answer: B — 40, if “half” means 0.5 mark
Reasoning: The erroneous total rose by 20. Class size=20/0.5=40. The paper should specify half a mark.
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Related practice: If the average rose by 0.4 mark instead, what is the class size?
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✅ Related answer & memory link
Answer: 50.
Why / remember: If the total error is 20 marks and the mean changes by 0.4, class size is 20/0.4=50.
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Confident after revision
Q117
The average weight of 8 persons increases by 2.5kg when a new person comes in place of one of them weighing 65kg. What
might be the weight of the new person?
a) 70kg
b) 75kg
c) 80kg
d) 85kg
Source PDF page 11.
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💡 Hint — try before revealing
Replacing one person changes the group total by group size times the mean change.
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✅ Answer & explanation
Answer: D — 85 kg
Reasoning: Total weight rises by 8×2.5=20 kg. New person=65+20=85.
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Related practice: If the mean fell by 2 kg, what would the replacement weigh?
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✅ Related answer & memory link
Answer: 49 kg.
Why / remember: A fall of 2 kg for eight people is a total fall of 16 kg; replacement weight=65−16=49.
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Confident after revision
Q118
The average of 7 consecutive numbers is 20. The largest of these numbers is:
a) 21
b) 22
c) 23
d) 24
Source PDF page 11.
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💡 Hint — try before revealing
For an odd number of consecutive integers, the average is the middle term.
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✅ Answer & explanation
Answer: C — 23
Reasoning: Seven consecutive integers centre on 20: 17,18,19,20,21,22,23.
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Related practice: What is their sum?
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✅ Related answer & memory link
Answer: 140.
Why / remember: Sum equals count×mean: 7×20=140.
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Confident after revision
Q119
If FRIEND is coded as HUMJTK, how is CANDLE written in that code?
a) EDRIRL
b) DCQHQK
c) ESJFME
d) DEQJQM
Source PDF page 11.
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💡 Hint — try before revealing
Compare each letter’s alphabet position with the corresponding coded letter.
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✅ Answer & explanation
Answer: A — EDRIRL
Reasoning: Add 2,3,4,5,6,7 alphabet positions successively to C,A,N,D,L,E.
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Related practice: Which shift is applied to the sixth letter?
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✅ Related answer & memory link
Answer: +7.
Why / remember: The successive shifts start at +2 and increase by one, so the sixth shift is +7.
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Confident after revision
Q120
If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH?
a) 246173
b) 214673
c) 214763
d) 216473
Source PDF page 11.
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💡 Hint — try before revealing
Build a consistent letter-to-digit substitution table from the examples.
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✅ Answer & explanation
Answer: B — 214673
Reasoning: Substitute S=2,E=1,A=4,R=6,C=7,H=3.
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Related practice: What is the code for ROACH?
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✅ Related answer & memory link
Answer: 68473.
Why / remember: R=6,O=8,A=4,C=7,H=3; substituting in ROACH gives 68473.
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Confident after revision