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
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
(A) 2:5
(B) 3:5
(C) 4:5
(D) 6:7
Source PDF page 10.
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💡 Hint — try before revealing
Represent both values as percentage multiples of the same base.
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✅ Answer & explanation
Answer: C — 4:5
Reasoning: Numbers are 1.2x and 1.5x; ratio=12:15=4:5.
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Related practice: If they were 20% and 60% more, what would the ratio be?
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✅ Related answer & memory link
Answer: 3:4.
Why / remember: 1.2x:1.6x reduces to 12:16=3:4; the common x cancels.
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Confident after revision
Q92
If a man stands upside down with his face toward south, where will his left-hand point?
(A) East
(B) West
(C) North
(D) South
Source PDF page 10.
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💡 Hint — try before revealing
The upside-down posture changes the usual upright left/right interpretation.
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✅ Answer & explanation
Answer: B — West
Reasoning: Facing south while upside down reverses the usual left-hand direction of an upright south-facing person.
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Related practice: If upright and facing south, where is the left hand?
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✅ Related answer & memory link
Answer: East.
Why / remember: An upright person facing south has east on the left. The original puzzle reverses that orientation by inversion.
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Confident after revision
Q93
The sum of three consecutive numbers is given, what is the difference between first and third number?
(A) 1
(B) 3
(C) 2
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Write three consecutive integers as x, x+1 and x+2.
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✅ Answer & explanation
Answer: C — 2
Reasoning: Consecutive integers x,x+1,x+2 differ by 2 from first to third.
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Related practice: What is the difference for three consecutive even integers?
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✅ Related answer & memory link
Answer: 4.
Why / remember: For consecutive even integers x,x+2,x+4, the first-to-third difference is four.
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Confident after revision
Q94
What number has to be added to each term of 3 : 5 to make the ratio 5 : 6?
(A) 6
(B) 7
(C) 12
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Add the same unknown to both ratio quantities and cross-multiply.
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✅ Answer & explanation
Answer: B — 7
Reasoning: 6(3+x)=5(5+x), so 18+6x=25+5x and x=7.
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Related practice: What is the resulting ratio before simplification?
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✅ Related answer & memory link
Answer: 10:12.
Why / remember: Adding seven gives 10:12, which reduces to 5:6; substitution checks the solution.
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Confident after revision
Q95
The ratio of the ages of two students is 3 : 2. One is older than the other by 5 years. What is the age of the younger student?
(A) 2 years
(B) 10 years
(C) 15 years
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
The age difference corresponds to the difference between the ratio parts.
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✅ Answer & explanation
Answer: B — 10 years
Reasoning: The difference of one ratio part is five years; younger=2×5=10.
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Related practice: How old is the elder student?
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✅ Related answer & memory link
Answer: 15.
Why / remember: One part is five years, so the elder’s three parts total fifteen years.
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Confident after revision
Q96
The mean proportional of 0.25 and 0.04 is …
(A) 0.01
(B) 0.1
(C) 10√10
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Mean proportional means geometric mean, not ordinary arithmetic average.
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✅ Answer & explanation
Answer: B — 0.1
Reasoning: Mean proportional is the geometric mean: √(0.25×0.04)=√0.01=0.1.
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Related practice: What is the arithmetic mean of those numbers?
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✅ Related answer & memory link
Answer: 0.145.
Why / remember: Arithmetic mean=(0.25+0.04)/2=0.145; geometric mean=√(0.25×0.04)=0.1.
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Confident after revision
Q97
The ratio of A‘s and B‘s salary is 9 : 4. If A‘s salary is increased by 15%, then his total salary becomes Rs 5175. What is the
salary of B?
(A) Rs 2000
(B) Rs 4000
(C) Rs 4500
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Reverse A’s percentage increase before applying the original salary ratio.
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✅ Answer & explanation
Answer: A — Rs 2000
Reasoning: Original A=5175/1.15=4500. B=4500×4/9=2000.
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Related practice: What was A’s increase in rupees?
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✅ Related answer & memory link
Answer: 675.
Why / remember: A’s increase is 15% of Rs 4500, or Rs 675; 4500+675=5175.
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Confident after revision
Q98
How is ½ % expressed as a decimal fraction?
(A) 0.005
(B) 0.05
(C) 0.5
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
Distinguish half of one percent from the fraction one-half.
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✅ Answer & explanation
Answer: A — 0.005
Reasoning: Half a percent=0.5/100=0.005.
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Related practice: Write ½ as a percentage.
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✅ Related answer & memory link
Answer: 50%, not 0.5%.
Why / remember: One-half is 0.5=50%; half a percent is 0.5%=0.005.
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Confident after revision
Q99
In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is
(A) 500
(B) 1000
(C) 1200
(D) None of these
Source PDF page 10.
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💡 Hint — try before revealing
The number failing corresponds to the complement of the pass rate.
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✅ Answer & explanation
Answer: C — 1200
Reasoning: Failure rate=35%; total=420/0.35=1200.
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Related practice: How many passed?
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✅ Related answer & memory link
Answer: 780.
Why / remember: 65% of 1200 is 780; 780 passed plus 420 failed equals the total.
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Confident after revision
Q100
9% of 64 + 32 % of 90=?
(A) 34.56
(B) 40
(C) 45
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Calculate the two percentage terms separately, then add.
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✅ Answer & explanation
Answer: A — 34.56
Reasoning: 0.09×64=5.76; 0.32×90=28.8; total=34.56.
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Related practice: What is 32% of 90?
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✅ Related answer & memory link
Answer: 28.8.
Why / remember: 32% of 90 is 0.32×90=28.8; this is only one term of the main expression.
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Confident after revision
Q101
In 1 KG mixture of sand and iron, 20% is iron. How much sand should be added so that proportion of iron becomes 10%?
(A) 1 Kg
(B) 200 gms
(C) 500 gms
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Adding sand changes total mass but leaves iron mass unchanged.
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✅ Answer & explanation
Answer: A — 1 kg
Reasoning: Iron stays 0.2 kg. For it to be 10%, total must be 2 kg; add 1 kg sand.
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Related practice: How much sand is present after adding it?
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✅ Related answer & memory link
Answer: 1.8 kg.
Why / remember: Initially sand is 0.8 kg; adding 1 kg makes 1.8 kg sand in a 2 kg mixture.
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Confident after revision
Q102
The mean of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of
23 and 11. The correct mean is
(A) 29.7
(B) 29.8
(C) 29.9
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Correct the total first by removing wrong entries and inserting right ones.
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✅ Answer & explanation
Answer: C — 29.9
Reasoning: Wrong total=3000. Replace 32+12 with 23+11: 3000−44+34=2990; divide by 100.
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Related practice: By how much was the mean overstated?
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✅ Related answer & memory link
Answer: 0.1.
Why / remember: The total is overstated by ten across one hundred items, so the mean is overstated by 10/100=0.1.
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Confident after revision
Q103
If the arithmetic mean of 6 numbers is 45, what is the total sum of these numbers?
(A) 27
(B) 45
(C) 65
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Average and total are linked by the number of observations.
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✅ Answer & explanation
Answer: D — None; 270
Reasoning: Sum=mean×number=45×6=270.
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Related practice: If their sum is 300, what is their mean?
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✅ Related answer & memory link
Answer: 50.
Why / remember: A sum of 300 divided by six gives mean 50; the mean alone is not the total.
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Confident after revision
Q104
In a class of 52 students, the number of boys is two less than the number of girls. Average weight of the boys is 42 Kg, while
the average weight of all students is 40 Kg. Approximately what is the average weight of girls?
(A) 38 Kg
(B) 40 Kg
(C) 42 Kg
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Find each group’s size before subtracting weighted totals.
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✅ Answer & explanation
Answer: A — approximately 38 kg
Reasoning: Girls=27 and boys=25. Girls’ total=52×40−25×42=1030; mean=1030/27≈38.15.
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Related practice: Why not average 42 and the girls’ mean directly?
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✅ Related answer & memory link
Answer: The group sizes differ.
Why / remember: An ordinary average of group means works only for equal group sizes; here there are 25 boys and 27 girls.
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Confident after revision
Q105
The average of 7 consecutive numbers is 20. The largest of these numbers is…
(A) 22
(B) 23
(C) 24
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
An odd-length consecutive sequence is centred on its average.
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✅ Answer & explanation
Answer: B — 23
Reasoning: The seven numbers are 17 through 23, centred on 20.
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Related practice: What is the smallest?
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✅ Related answer & memory link
Answer: 17.
Why / remember: Three terms lie below the centre 20, so the smallest is 20−3=17.
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Confident after revision
Q106
What is the greatest possible length of a scale that can be used to measure exactly the lengths 3m, 5m 10cm and 12m 90cm?
(A) 30 cm
(B) 20 cm
(C ) 10 cm
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Use the same length unit, then find the largest exact common divisor.
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✅ Answer & explanation
Answer: A — 30 cm
Reasoning: Convert to 300,510,1290 cm and take their greatest common divisor: 30.
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Related practice: Which operation is used for the greatest exact measuring unit?
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✅ Related answer & memory link
Answer: GCD/HCF.
Why / remember: GCD/HCF gives the greatest unit dividing every length without a remainder; LCM answers a different type of question.
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Confident after revision
Q107
What is the least number to be added to 631 to make it a perfect square?
(A) 25
(B) 30
(C) 45
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Find the next perfect square above the number.
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✅ Answer & explanation
Answer: C — 45
Reasoning: 25²=625 is below 631; next square=26²=676. Add 676−631=45.
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Related practice: What is the smallest number to subtract to reach a square?
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✅ Related answer & memory link
Answer: 6.
Why / remember: The previous square is 25²=625; subtracting 631−625=6 reaches it.
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Confident after revision
Q108
A number, when 35 is subtracted from it, reduces to its 80 percent. What is Four-Fifth of that number?
(A) 70
(B) 90
(C) 120
(D) 140
Source PDF page 11.
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💡 Hint — try before revealing
The difference between the whole and four-fifths is one-fifth.
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✅ Answer & explanation
Answer: D — 140
Reasoning: x−35=0.8x gives x=175; four-fifths=140.
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Related practice: What is one-fifth of the number?
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✅ Related answer & memory link
Answer: 35.
Why / remember: The equation’s 35 is one-fifth of the number, so the whole is 5×35=175.
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Confident after revision
Q109
How many numbers up to 100 are divisible by 7?
(A) 14
(B) 107
(C) 93
(D) None of these
Source PDF page 11.
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💡 Hint — try before revealing
Divide the upper bound by seven and take the integer part.
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⚠️ Answer & question issue
Answer: A — 14 positive multiples
Reasoning: ⌊100/7⌋=14, ending at 98. Include zero only if explicitly required.
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Related practice: What is the largest such multiple?
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✅ Related answer & memory link
Answer: 98.
Why / remember: 14×7=98 is within 100; 15×7=105 exceeds it. Count positive multiples unless zero is expressly included.
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Confident after revision
Q110
A father said to his son, ―I was as old as you are at the present at the time of your birth‖. If the father‘s age is 38 years now,
the son‘s age five years back was?
a) 14 years
b) 19 years
c) 33 years
d) 38 years
Source PDF page 11.
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💡 Hint — try before revealing
The father’s age when the son was born equals their present age difference.
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✅ Answer & explanation
Answer: A — 14 years
Reasoning: Father’s age at son’s birth is 38−s=s, giving s=19 now; five years ago=14.
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Related practice: What is their age difference?
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✅ Related answer & memory link
Answer: 19 years.
Why / remember: With father 38 and son 19, the difference stays nineteen years at every point in time.
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Confident after revision
Q111
I drove south for 6km, then turned left and drove for 2km, then turned right and drove for 4km, then again turned right and
turned 2km. How far am I from the starting point?
a) 8km
b) 5km
c) 4km
d) 10km
Source PDF page 12.
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💡 Hint — try before revealing
Cancel opposite horizontal movements and combine the vertical ones.
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✅ Answer & explanation
Answer: D — 10 km
Reasoning: South 6, east 2, south 4, west 2 leaves 10 km south. The horizontal movements cancel.
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Related practice: What total distance was travelled?
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✅ Related answer & memory link
Answer: 14 km.
Why / remember: Path length is 6+2+4+2=14 km; displacement is ten km because two legs cancel.
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Confident after revision
Q112
Two-Fifth of One-Third of Three-Seventh of a number is 15. What is 40% of that number?
a) 72
b) 84
c) 136
d) None of these
Source PDF page 12.
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💡 Hint — try before revealing
Multiply the fractions first, then solve for the original number.
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✅ Answer & explanation
Answer: D — None; 105
Reasoning: The fraction product is (2/5)(1/3)(3/7)=2/35. The number is 15×35/2=262.5; 40% of it is 105.
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Related practice: What is one-fifth of the number?
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✅ Related answer & memory link
Answer: 52.5.
Why / remember: One-fifth of 262.5 is 262.5/5=52.5; forty percent is twice that, 105.
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Confident after revision
Q113
If a doctor gave you 4 tablets and advised you to take tablet every half an hour, how long will you take to eat all the tablets?
a) 2 hours
b) 2.5 hours
c) 1.5 hours
d) None of these
Source PDF page 12.
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💡 Hint — try before revealing
Count intervals between doses; decide whether the first is taken immediately.
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✅ Answer & explanation
Answer: C — 1.5 hours, if the first tablet is taken immediately
Reasoning: Four doses at 0,30,60,90 minutes create three intervals. This is arithmetic practice, not medication advice.
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Related practice: How many intervals separate five equally spaced doses?
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✅ Related answer & memory link
Answer: Four.
Why / remember: Five doses have four gaps between them. The first and last times determine elapsed duration.
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Confident after revision
Q114
Which of the following is not a perfect square?
a) 225
b) 64
c) 216
d) 121
Source PDF page 12.
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💡 Hint — try before revealing
Check which values are perfect squares.
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✅ Answer & explanation
Answer: C — 216
Reasoning: 225=15²,64=8²,121=11²; 216=6³, not an integer square.
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Related practice: What is 14²?
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✅ Related answer & memory link
Answer: 196.
Why / remember: 14²=14×14=196; 216 is 6³, which explains its different classification in the original options.
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Confident after revision
Q115
A man is standing at number six from the front side of a row and 15th from the other side of the row. How many persons are
standing in the row?
a) 21
b) 19
c) 22
d) 20
Source PDF page 12.
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💡 Hint — try before revealing
Add positions from both ends and remove the double-counted person.
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✅ Answer & explanation
Answer: D — 20
Reasoning: Total=position from front+position from back−1=6+15−1.
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Related practice: Why subtract one?
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✅ Related answer & memory link
Answer: The same person is counted twice.
Why / remember: The same person appears in both position counts, so total=front+back−1.
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Confident after revision
Q116
A person sells his mobile with 2% profit. If he purchased it in Rs. 20,000, find the profit.
a) Rs. 400
b) Rs. 20,400
c) Rs. 800
d) Rs. 20,800
Source PDF page 12.
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💡 Hint — try before revealing
Profit percentage is measured on cost price.
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✅ Answer & explanation
Answer: A — Rs 400
Reasoning: Profit=2%×20000=400; selling price=20400.
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Related practice: What is the selling price?
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✅ Related answer & memory link
Answer: Rs 20,400.
Why / remember: Selling price=cost+profit=20000+400=20400.
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Confident after revision
Q117
Find the value of x: x/4 + 2x/5 = 13/20.
a) 13
b) 2
c) 1
d) None
Source PDF page 12.
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💡 Hint — try before revealing
Clear fractions by multiplying every term by the common denominator.
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✅ Answer & explanation
Answer: C — 1
Reasoning: The equation shown is x/4 + 2x/5 = 13/20. Multiply by 20: 5x+8x=13, so x=1.
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Related practice: Solve x/2+x/3=5.
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✅ Related answer & memory link
Answer: x=6, because multiplying by 6 gives 5x=30.
Why / remember: For x/2+x/3=5, multiplying by six gives 3x+2x=30, so x=6.
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Confident after revision
Q118
If a bike travels 90 Km with 2 liters of petrol, then how many distance will be covered by bike with 5 liters of petrol?
a) 450 Km
b) 250 Km
c) 225 Km
d) 500 Km
Source PDF page 12.
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💡 Hint — try before revealing
Find distance per litre, then scale by fuel quantity.
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✅ Answer & explanation
Answer: C — 225 km
Reasoning: Efficiency=90/2=45 km/litre; five litres give 225 km.
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Related practice: How much fuel for 180 km?
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✅ Related answer & memory link
Answer: 4 litres.
Why / remember: At 45 km/litre, 180 km requires 180/45=4 litres.
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Confident after revision
Q119
Father's age is 60 years while the age of son is 15 years. Find the ratio between the age of the son and that of father.
a) 4:1
b) 1:4
c) 1:3
d) 3:1
Source PDF page 12.
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💡 Hint — try before revealing
Preserve the order requested in the ratio.
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✅ Answer & explanation
Answer: B — 1:4
Reasoning: Son:father=15:60=1:4; preserve the requested order.
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Related practice: What is father:son?
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✅ Related answer & memory link
Answer: 4:1.
Why / remember: Father:son is 60:15=4:1; it is the reciprocal ordering of son:father.
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Confident after revision
Q120
A father's age is 3 times the age of his son. If four years ago, the age of father was 4 times than the age of his son. Then, what
is the age of son now?
a) 10 years
b) 12 years
c) 8 years
d) 9 years
Source PDF page 12.
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💡 Hint — try before revealing
Write both ages now, then subtract four from each for the past equation.
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✅ Answer & explanation
Answer: B — 12 years
Reasoning: F=3S and F−4=4(S−4). Thus 3S−4=4S−16, so S=12.
🔁
Related practice: What is the father’s current age?
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✅ Related answer & memory link
Answer: 36.
Why / remember: Son 12 implies father 36. Four years earlier they were 8 and 32, satisfying the four-to-one condition.
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Confident after revision