Elementary Mathematics • Topic Practice Hub
General Mathematics (ADRE Questions & PYQ Solutions)
Practice official ADRE solved questions and previous year paper sets for General Mathematics. Includes step-by-step solutions and explanations. Explore 119 questions collected from official SLRC ADRE Grade 3 & Grade 4 papers.
Total MCQs
119
Official PYQs
119
Subject
Elementary Mathematics
Format
Bilingual MCQs
Solved MCQs & Official Answer Explanations
ADRE 2024 • 2024 Paper 4Question 1
The remainder when -46 is divided by 3 is :
A.-2
B.-1
C.1
D.2 ✓ (Correct)
Explanation: Using standard division algorithm a = b*q + r with 0 <= r < |b|: -46 = 3 * (-16) + 2. Hence, the remainder is 2.
ADRE 2024 • 2024 Paper 4Question 2
The product of the mean and the median of the data set 1, 0, -5, 3, 0, -2, 4, 6, -4, 1, 2 is :
A.5/12
B.7/13
C.6/11 ✓ (Correct)
D.9/14
Explanation: Sum of 11 numbers = 6. Mean = 6/11. Ordered set: -5, -4, -2, 0, 0, 1, 1, 2, 3, 4, 6. The 6th term (median) = 1. Product = (6/11) * 1 = 6/11.
ADRE 2024 • 2024 Paper 4Question 3
Three numbers A, B and C are such that the HCF of A and B is same as the HCF of B and C. If the LCM of A and B is three times the LCM of B and C, then the ratio C : A is :
A.1 : 9
B.3 : 1
C.9 : 1
D.1 : 3 ✓ (Correct)
Explanation: Using A*B = HCF(A,B)*LCM(A,B) and B*C = HCF(B,C)*LCM(B,C). Since HCFs are equal, A/C = LCM(A,B)/LCM(B,C) = 3/1. Thus C : A = 1 : 3.
ADRE 2024 • 2024 Paper 4Question 4
Yesterday just after sunrise Rajiv met Samir and was talking, when Rajiv noticed that Samir's shadow was seen towards the right of Rajiv. Which direction was Samir facing ?
A.South
B.East
C.West
D.North ✓ (Correct)
Explanation: At sunrise, the sun is in the East, so shadows fall towards the West. Samir's shadow is to Rajiv's right, meaning West is to Rajiv's right, so Rajiv is facing South. Since Samir is facing Rajiv, Samir must be facing North.
ADRE 2024 • 2024 Paper 4Question 5
Find the value of (1/sqrt(2)+1) + (2/sqrt(6)+sqrt(2)) + (3/sqrt(4)+sqrt(3)) + ...
A.1/(6*sqrt(2))
B.1/sqrt(2)
C.3/sqrt(2) ✓ (Correct)
D.3*sqrt(2)
Explanation: Rationalizing each term of the series gives (sqrt(2)-1) + (sqrt(6)-sqrt(2)) + (3*(2-sqrt(3)))/1 ... Sum simplifies to 3/sqrt(2).
ADRE 2024 • 2024 Paper 4Question 6
A sector of angle 30° is cut out from a circular disc of radius 6 cm. The area of the cut sector in cm2 units is :
A.3π ✓ (Correct)
B.4π
C.5π
D.6π
Explanation: Area of sector = (theta / 360°) * pi * r² = (30° / 360°) * pi * 6² = (1/12) * 36 * pi = 3π cm².
ADRE 2024 • 2024 Paper 4Question 7
A + B means A is to the North of B; A%B means A is to the East of B; A-B means A is to the West of B; then in (Neptune % Saturn + Uranus - Jupiter) Uranus is in which direction with respect to Neptune ?
A.South - West ✓ (Correct)
B.North - East
C.North - West
D.South - East
Explanation: Neptune is East of Saturn, Saturn is South of Uranus (Uranus North of Saturn), Uranus is West of Jupiter. Placing them on grid shows Uranus is South-West of Neptune.
ADRE 2024 • 2024 Paper 4Question 8
Which word would you replace for the underlined word to reverse the meaning of the sentence ? "Food in this hotel is worse than that provided at our hostel."
A.good
B.better ✓ (Correct)
C.best
D.excellent
Explanation: To reverse the meaning of a sentence using comparative degree ('worse'), its antonym in comparative degree 'better' should be used.
ADRE 2024 • 2024 Paper 4Question 9
The least natural number which when divided by 2 gives remainder 1, when divided by 3 gives remainder 2 and when divided by 4 gives remainder 3, is :
A.23
B.17
C.31
D.11 ✓ (Correct)
Explanation: In each case, Divisor - Remainder = 1 (2-1=1, 3-2=1, 4-3=1). Required number = LCM(2,3,4) - 1 = 12 - 1 = 11.
ADRE 2024 • 2024 Paper 4Question 10
The three angles of a triangle are in the ratio of 1 : 3 : 5. The largest angle of the triangle is :
A.70°
B.90°
C.120°
D.100° ✓ (Correct)
Explanation: Sum of angles in a triangle = 180°. Total parts = 1 + 3 + 5 = 9. Largest angle = (5/9) * 180° = 100°.
ADRE 2024 • 2024 Paper 4Question 11
Toyota has its headquarters in :
A.China
B.South Korea
C.Singapore
D.Japan ✓ (Correct)
Explanation: Toyota Motor Corporation is a multinational automotive manufacturer headquartered in Toyota City, Aichi, Japan.
ADRE 2024 • 2024 Paper 4Question 12
"The invigilator could not detect that the two boys were exchanging notes under his nose ." What is the meaning of the marked portion ?
A.With due permission
B.Right in front ✓ (Correct)
C.With active help
D.In small pieces of paper
Explanation: The idiom 'under one's nose' means directly in front of someone or in plain sight.
ADRE 2024 • 2024 Paper 4Question 13
Mark the correct word as synonym of "affluent".
A.Meeting
B.Discussion
C.Wealthy ✓ (Correct)
D.Poverty
Explanation: 'Affluent' means having a great deal of money or wealth; its synonym is 'Wealthy'.
ADRE 2024 • 2024 Paper 4Question 14
The product of the roots of the quadratic equation 2x^2 - 5x + 6 = 0 is :
A.2
B.3 ✓ (Correct)
C.5
D.6
Explanation: For quadratic equation ax² + bx + c = 0, product of roots = c/a = 6/2 = 3.
ADRE 2024 • 2024 Paper 4Question 15
The sum of the roots of the quadratic equation 2x^2 - 5x + 3 = 0 is :
A.2
B.3/2
C.5/2 ✓ (Correct)
D.5
Explanation: For quadratic equation ax² + bx + c = 0, sum of roots = -b/a = -(-5)/2 = 5/2.
ADRE 2024 • 2024 Paper 4Question 16
A geometric figure has two pairs of parallel lines, intersecting at right angle. One pair is of length 8 cm each, and the other pair is of 6 cm. If the longer pair size is increased by 2 cm each, while the shorter pair is reduced by 2 cm, which of the following statements is correct ?
A.Area of the figure decreases ✓ (Correct)
B.Perimeter of the figure increases
C.Perimeter of the figure decreases
D.Area of the figure increases
Explanation: Initial rectangle: dimensions 8 x 6 => Area = 48 cm², Perimeter = 2(8+6) = 28 cm. Modified dimensions: (8+2) = 10 cm and (6-2) = 4 cm. New Area = 10 x 4 = 40 cm², Perimeter = 2(10+4) = 28 cm. Perimeter stays same, Area decreases from 48 to 40 cm².
ADRE 2024 • 2024 Paper 4Question 17
Which word from the following is similar to beckon ?
A.light
B.beg
C.motion ✓ (Correct)
D.hear
Explanation: 'Beckon' means to signal or gesture with the hand or head to encourage someone to come near or follow; its closest synonym is 'motion'.
ADRE 2024 • 2024 Paper 4Question 18
Which of these words is closest in meaning to the word kin ?
A.exult
B.twist
C.friend
D.relative ✓ (Correct)
Explanation: 'Kin' refers to one's family and relations; hence 'relative' is closest in meaning.
ADRE 2024 • 2024 Paper 4Question 19
What would be the synonym for the word educe ?
A.demand
B.elicit ✓ (Correct)
C.ideal
D.unlawful
Explanation: 'Educe' means to bring out or develop something latent; its synonym is 'elicit'.
ADRE 2024 • 2024 Paper 4Question 20
Choose the sentence that correctly communicates the meaning in the following sentence.
A.Barua was usually able to catch the six thirty-five train from Guwahati ✓ (Correct)
B.Barua was usually able to catch a six thirty-five train from Guwahati
C.Barua was usually able to catch on six thirty-five train from Guwahati
D.Barua was usually able to latch the six thirty-five train from Guwahati
Explanation: Option A uses correct grammar and prepositional structure ("catch the [specific time] train").
ADRE 2024 • 2024 Paper 4Question 21
Read the passage (Okapi) and answer: The word hide in the first paragraph means :
A.smell
B.evade
C.skin ✓ (Correct)
D.land
Explanation: In zoological contexts, 'striped hide' refers to the animal's skin/pelt.
ADRE 2024 • 2024 Paper 4Question 22
Zoologists assume that Okapis are relics and they respect the forestland borders. It means :
A.Okapis are humanoid creatures
B.They are culturally inclusive
C.They communicate with other bordering creatures
D.None of the above ✓ (Correct)
Explanation: None of options A, B, or C accurately reflects the evolutionary biological sense of 'relics respecting forest borders'.
ADRE 2024 • 2024 Paper 4Question 23
Mr. Powers was so gullible that he believed even the most outlandish excuses of his insincere employees. Choose the definition of gullible.
A.intelligent
B.naive ✓ (Correct)
C.dishonest
D.critical
Explanation: 'Gullible' means easily persuaded to believe something; easily deceived, which equates to 'naive'.
ADRE 2024 • 2024 Paper 4Question 24
The new shipping and receiving building is an expansive facility, large enough to meet our growing needs. Choose the definition of expansive.
A.obsolete
B.meagre
C.spacious ✓ (Correct)
D.costly
Explanation: 'Expansive' in this context means covering a wide area or extensive/large, synonymous with 'spacious'.
ADRE 2024 • 2024 Paper 4Question 25
As it is used in the sentence, the underlined word revolutionized means :
A.cancelled
B.changed drastically ✓ (Correct)
C.became outdated
D.exercised control over
Explanation: 'Revolutionized' means to change something fundamentally or drastically.
ADRE 2024 • 2024 Paper 4Question 26
Culture Shock Passage: How is reality defined as in the passage ?
A.meaning ✓ (Correct)
B.action
C.feeling
D.web
Explanation: The very first sentence states: "Reality for human beings is not action or feeling but meaning."
ADRE 2024 • 2024 Paper 5Question 27
If Raghu says that his mother is the only daughter of Himadri’s mother, how is Himadri related to Raghu ?
A.Brother
B.Maternal Uncle ✓ (Correct)
C.Grandfather
D.Son
Explanation: Himadri's mother's only daughter is Raghu's mother, which means Himadri is Raghu's mother's brother (Maternal Uncle).
ADRE 2024 • 2024 Paper 5Question 28
What does ‘fair’ in the sentence “They played a fair match” mean ?
A.Very long
B.Within the rules ✓ (Correct)
C.Breaking many rules
D.All players are seniors
Explanation: In the context of sports, 'fair' means played according to rules without cheating.
ADRE 2024 • 2024 Paper 5Question 29
What single word would mean the same as “the base frame of a car or bus, or any such wheeled vehicle” ?
A.Framework
B.Chassis ✓ (Correct)
C.Cabin
D.Monocoque
Explanation: The chassis is the base frame/under-carriage of a motor vehicle.
ADRE 2024 • 2024 Paper 5Question 30
The numbers that cannot be expressed in the form of fractions are called :
A.Whole numbers
B.Recurring numbers
C.Prime numbers
D.Irrational numbers ✓ (Correct)
Explanation: Irrational numbers cannot be written as a simple fraction p/q where p and q are integers.
ADRE 2024 • 2024 Paper 5Question 31
What is the synonym of BRAKE ?
A.Parking
B.Slow ✓ (Correct)
C.Clutch
D.Gear
Explanation: In the context of vehicle operations, to brake means to slow down or bring a vehicle to a stop.
ADRE 2024 • 2024 Paper 5Question 32
What does “apple of one’s eye” mean ?
A.Target for practice
B.Special favourite, beloved person or thing ✓ (Correct)
C.Most hated person
D.A sincere and loyal person
Explanation: The idiom 'apple of one's eye' refers to someone or something that is cherished above all others.
ADRE 2024 • 2024 Paper 5Question 33
Dangerous driving means :
A.Jumping a red traffic light
B.Violating stop line
C.Using phone
D.Any one of all three ✓ (Correct)
Explanation: Red light jumping, stop line violations, and driving while using a mobile phone all fall under dangerous driving.
ADRE 2024 • 2024 Paper 5Question 34
How can you distinguish a Transport vehicle from other vehicles ?
A.Looking at tyre size
B.By the colour of the vehicle
C.By vehicle size
D.Registration number plate ✓ (Correct)
Explanation: Commercial/transport vehicles in India are distinguished by their distinct yellow registration number plates.
ADRE 2024 • 2024 Paper 5Question 35
Zebra crossing lines marked on roads are meant for :
A.Reducing speed
B.Pedestrian crossing ✓ (Correct)
C.Giving preference to other vehicles
D.Crossing of Animals
Explanation: Zebra crossings are designated road spaces marked for pedestrians to safely cross the street.
ADRE 2024 • 2024 Paper 5Question 36
A person purchases a defective item at ` 1,500, repairs it at ` 900 and sells the item at ` 5,000. The sales tax he had to pay is ` 100. The net profit percentage the person earns on selling the item is :
A.80%
B.60%
C.120%
D.100% ✓ (Correct)
Explanation: Total Cost Price = 1500 + 900 + 100 = Rs 2500. Selling Price = Rs 5000. Profit = 5000 - 2500 = Rs 2500. Profit % = (2500 / 2500) * 100 = 100%.
ADRE 2024 • 2024 Paper 5Question 37
The number plate of an Electric Vehicle (EV) in India is coloured _________.
A.White
B.Yellow
C.Green ✓ (Correct)
D.Black
Explanation: Electric Vehicles (EVs) in India have green registration plates with white lettering (private) or yellow lettering (commercial).
ADRE 2024 • 2024 Paper 5Question 38
Which word is the Synonym of STRANGE ?
A.Abnormal ✓ (Correct)
B.Complete
C.Strong
D.Perfect
Explanation: 'Abnormal' means unusual or extraordinary, which is synonymous with 'strange'.
ADRE 2024 • 2024 Paper 5Question 39
Each angle of an equilateral triangle is :
A.90°
B.60° ✓ (Correct)
C.45°
D.30°
Explanation: The sum of angles in a triangle is 180°. In an equilateral triangle, all 3 angles are equal: 180° / 3 = 60°.
ADRE 2024 • 2024 Paper 5Question 40
The perimeter of a rectangle is 34 cm and the length is longer than the breadth by 7 cm. The area of the rectangle is :
A.40 cm2
B.60 cm2 ✓ (Correct)
C.238 cm2
D.64 cm2
Explanation: Perimeter = 2(L + B) = 34 => L + B = 17. Given L - B = 7. Solving: L = 12 cm, B = 5 cm. Area = L * B = 12 * 5 = 60 cm^2.
ADRE 2024 • 2024 Paper 5Question 41
A person purchases a defective item for ` 900, repairs it for ` 100 and sells the item for ` 1800. His percentage of profit is :
A.100%
B.80% ✓ (Correct)
C.90%
D.180%
Explanation: Total Cost = 900 + 100 = Rs 1000. Selling Price = Rs 1800. Profit = 800. Profit % = (800 / 1000) * 100 = 80%.
ADRE 2024 • 2024 Paper 5Question 42
The area of a square is 169 metre^2 . The measure of the side of the square is :
A.17 metre
B.19 metre
C.12 metre
D.13 metre ✓ (Correct)
Explanation: Area of square = side^2 = 169 => side = sqrt(169) = 13 metres.
ADRE 2024 • 2024 Paper 5Question 43
Which of the following is not mandatory for a commercial vehicle in Assam ?
A.Vehicle Registration
B.Night Driving permit ✓ (Correct)
C.Pollution Under Control
D.Fitness Certificate
Explanation: Commercial vehicles require registration, PUC, and fitness certificates; a separate 'Night Driving permit' is not mandated.
ADRE 2024 • 2024 Paper 5Question 44
What does “get out of hand” mean ?
A.To walk away
B.To be very slippery
C.To become uncontrollable ✓ (Correct)
D.To get lost
Explanation: The idiom 'get out of hand' means to lose control over a situation.
ADRE 2024 • 2024 Paper 5Question 45
Maximum speed limit for Motor cycles on Municipal Roads in Assam :
A.80 km/hour
B.70 km/hour
C.60 km/hour
D.50 km/hour ✓ (Correct)
Explanation: The prescribed maximum speed limit for motorcycles on urban/municipal roads in Assam is 50 km/hour.
ADRE 2022 • 2022 Paper 1Question 46
A rectangle has 15 cm as its length and 150 cm^2 as its area. If the area is increased to 1 1/3 times the original area by increasing its length only, the new perimeter will be
A.50 cm ✓ (Correct)
B.60 cm
C.70 cm
D.80 cm
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 47
The mean of the data series 7, 12, 5, 1, 4, 2, 1, 12, 17, 16, 1, 5, 8
A.7 ✓ (Correct)
B.4
C.8
D.5
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 48
The number that replaces the question mark (?) in the equation 0.003 / ? = 0.3, is :
A.0.01 ✓ (Correct)
B.1.0
C.0.0001
D.0.001
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 49
What percentage of 1.5 kg is 7.5 gm ?
A.0.25% ✓ (Correct)
B.0.3%
C.0.5%
D.0.75%
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 50
Rajen goes to his school from his house at a speed of 2 km/hour and returns at a speed of 3 km/hour. If he takes 5 hours in the entire journey, the distance between his school and his house is :
A.4 km ✓ (Correct)
B.5 km
C.6 km
D.7 km
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 51
The total surface area of a cube is 96 cm^2. The volume of the cube is :
A.81 cm^3 ✓ (Correct)
B.27 cm^3
C.36 cm^3
D.64 cm^3
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 52
The ratio of the radii of two circles is 2 : 3. The ratio of the areas of the circles is :
A.3 : 2 ✓ (Correct)
B.4 : 9
C.9 : 4
D.2 : 3
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 1Question 53
The area of an equilateral triangle with the length of the side of 12 cm is
A.12 3 cm^2 ✓ (Correct)
B.24 3 cm^2
C.30 3 cm^2
D.36 3 cm^2
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 2Question 54
Where is the Assam State Zoo cum Botanical Garden located ?
A.Tezpur ✓ (Correct)
B.Kaziranga
C.Guwahati
D.Goalpara
Explanation: The Assam State Zoo cum Botanical Garden is located in the Hengrabari Reserved Forest area in Guwahati.[cite: 1]
ADRE 2022 • 2022 Paper 2Question 55
Greek Mathematician Pythagoras is known for
A.Distance between Earth and Sun ✓ (Correct)
B.Value of Pi
C.Relationship between the sides of a Right angled triangle
D.Area of a circle
Explanation: Pythagoras is famous for the Pythagorean theorem, which states a^2 + b^2 = c^2 for a right-angled triangle.[cite: 1]
ADRE 2022 • 2022 Paper 2Question 56
The area of a rectangle is 300 cm2 and the length of its diagonal is 25 cm. The perimeter of the rectangle is
A.88 cm ✓ (Correct)
B.70 cm
C.64 cm
D.58 cm
Explanation: Let length be l and breadth be b. l*b = 300. l^2 + b^2 = 25^2 = 625. (l+b)^2 = l^2 + b^2 + 2lb = 625 + 600 = 1225. l+b = 35. Perimeter = 2(l+b) = 70 cm.[cite: 1]
ADRE 2022 • 2022 Paper 2Question 57
In a school, the average age of both boys and girls is 16 years; the average age of only boys is 15 years and average age of only girls is 18 years. The ratio of the number of boys and girls in the school is :
A.5 : 2 ✓ (Correct)
B.4 : 3
C.2 : 1
D.3 : 2
Explanation: Using alligation or algebraic method: Let boys be B and girls be G. 16(B+G) = 15B + 18G. This simplifies to 1B = 2G, meaning B/G = 2/1. Ratio is 2:1.[cite: 1]
ADRE 2022 • 2022 Paper 2Question 58
“Two times the area of a square of side x is added to three times the perimeter of the same square.” The algebraic expression of the above statement is
A.2x^2 + 3x ✓ (Correct)
B.2x^2 + 4x
C.2x^2 + 7x
D.2x^2 + 12x
Explanation: Area = x^2, Perimeter = 4x. Two times area = 2x^2. Three times perimeter = 3*(4x) = 12x. The sum is 2x^2 + 12x.[cite: 1]
ADRE 2022 • 2022 Paper 2Question 59
The three sides of a triangle are of length 2.3 cm, 20 mm and 23 mm. The triangle is a/an
A.Scalene triangle ✓ (Correct)
B.Equilateral triangle
C.Right angled triangle
D.Isosceles triangle
Explanation: 2.3 cm = 23 mm. The sides are 23 mm, 20 mm, and 23 mm. Since two sides are equal in length, it is an isosceles triangle.[cite: 1]
ADRE 2022 • 2022 Paper 2Question 60
The area of a Rhombus equals
A.1/2 x (sum of the lengths of its two diagonals) ✓ (Correct)
B.2 x (sum of the lengths of its two diagonals)
C.1/2 x (product of the lengths of its two diagonals)
D.2 x (product of the lengths of its two diagonals)
Explanation: The area of a rhombus is given by half the product of the lengths of its diagonals (1/2 * d1 * d2).[cite: 1]
ADRE 2022 • 2022 Paper 2Question 61
Choose the correct pair of words which are SYNONYMS of each other.
A.Evil – Blessed ✓ (Correct)
B.Cheat – Deceive
C.Above – Below
D.War – Peace
Explanation: 'Cheat' and 'Deceive' both mean to act dishonestly to gain an advantage, making them synonyms.[cite: 1]
ADRE 2022 • 2022 Paper 3Question 62
The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is :
A.25 ✓ (Correct)
B.41
C.13
D.11
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 63
Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is :
A.8 ✓ (Correct)
B.12
C.20
D.36
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 64
If the salary of A is 25% more than that of B, how much percentage is the salary of B lower than that of A ?
A.20% ✓ (Correct)
B.25%
C.12 1/2 %
D.16 2/3 %
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 65
The perimeter of an equilateral triangle is 6 cm. The area of the triangle is :
A.6 cm2 ✓ (Correct)
B.6 cm2
C.3 cm2
D.3 cm2
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 66
45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
A.2 : 3 ✓ (Correct)
B.3 : 2
C.3 : 5
D.2 : 5
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 67
Find the median of the data set. 1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12
A.8 ✓ (Correct)
B.7
C.5
D.4
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 68
'A' starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. 'B' starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If 'B' meets 'A' at the location Q, then the distance PQ is :
A.1.5 km ✓ (Correct)
B.1.75 km
C.1.2 km
D.1.25 km
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 69
Choose the correct options which best explains the meaning of the given idioms : "To split hairs"
A.To quarrel bitterly ✓ (Correct)
B.To complain about every small detail
C.To argue about trifles
D.To study every detail minutely
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 70
Choose the correct options which best explains the meaning of the given idioms : "Nail the lie to the counter"
A.To blame a person for something ✓ (Correct)
B.To expose publicly
C.To investigate an allegation
D.To lie vehemently
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 71
Choose the correct options which best explains the meaning of the given idioms : "To see red"
A.To be mad with anger ✓ (Correct)
B.To see danger
C.Sunset
D.To be drunk
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 72
Choose the correct options which best explains the meaning of the given idioms : "To hit below the belt"
A.To trick the opponent ✓ (Correct)
B.To defeat the opponent
C.To take bribe
D.To act unfairly in a contest
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 73
Choose the correct options which best explains the meaning of the given idioms : "To beat about the bush"
A.To prune the bush ✓ (Correct)
B.To approach a matter directly
C.To approach a matter in a roundabout manner
D.To discuss a matter endlessly
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 74
Choose the correct options which best explains the meaning of the given idioms : "Bird in hand is better than two in the bush"
A.Probability is better than possibility ✓ (Correct)
B.Certainty is better than possibility
C.Possibility is better than probability
D.Probability indicates certainty
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 75
"For the little boy, a lolly was tangible, whereas a promise was not." The word tangible in this sentence means
A.Basic ✓ (Correct)
B.Untouchable
C.Actual
D.Edible
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 76
Arrange the following words in a logical and meaningful order : (1) Cloud (2) Rainbow (3) Devastation (4) Rain (5) Low Pressure (6) Flood
A.1 5 4 2 6 3 ✓ (Correct)
B.5 1 4 2 6 3
C.5 4 1 2 3 6
D.1 5 2 4 6 3
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 77
The ratio of the sides of a triangle is 1/4 : 1/3 : 1/2 and its perimeter is 104 cm. The longest arm of the triangle is :
A.52 cm ✓ (Correct)
B.48 cm
C.44 cm
D.40 cm
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 3Question 78
Find the number of triangles in the given figure :
A.12 ✓ (Correct)
B.18
C.22
D.26
Explanation: Official ADRE 2022 Question
ADRE 2022 • 2022 Paper 4Question 79
If '÷' means 'addition', '+' means 'subtraction', '-' means 'multiplication' and '' means 'division', then the value of 18 ÷ 12 4 - 5 is
A.25
B.35
C.40
D.33 ✓ (Correct)
Explanation: Applying the substitutions: 18 + 12 / 4 * 5. According to BODMAS: First divide (12 / 4 = 3), then multiply (3 * 5 = 15), then add (18 + 15 = 33).
ADRE 2022 • 2022 Paper 4Question 80
The 8th term of the sequence 2, 6, 18, 54, …… is
A.4370
B.4374 ✓ (Correct)
C.7443
D.7434
Explanation: The sequence is a geometric progression with first term a=2 and common ratio r=3. The nth term is given by a*r^(n-1). For the 8th term, it is 2 * (3^7) = 2 * 2187 = 4374.
ADRE 2022 • 2022 Paper 4Question 81
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 ✓ (Correct)
D.7 : 5
Explanation: Let the third number be 100. Then the first number is 120 and the second number is 150. The ratio is 120 : 150, which simplifies to 4 : 5.
ADRE 2022 • 2022 Paper 4Question 82
When a number is divided by 893 the remainder is 193. If the same number is divided by 47, the remainder will be :
A.3
B.25
C.5 ✓ (Correct)
D.33
Explanation: The number can be expressed as 893k + 193. Since 893 is perfectly divisible by 47 (47 × 19 = 893), we only need to divide the remainder 193 by 47. 193 ÷ 47 = 4 with a remainder of 5.
ADRE 2022 • 2022 Paper 4Question 83
A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is
A.10 m ✓ (Correct)
B.17.32 m
C.8.16 m
D.13 m
Explanation: Let height be h. Using trigonometry in the right-angled triangle, sin(30°) = Opposite / Hypotenuse. 1/2 = h / 20. Therefore, h = 20 / 2 = 10 m.
ADRE 2022 • 2022 Paper 4Question 84
The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1 ?
A.60
B.120 ✓ (Correct)
C.180
D.240
Explanation: Total parts = 7 + 5 = 12. Value of one part = 720 / 12 = 60. Boys = 7 × 60 = 420. Girls = 5 × 60 = 300. To make the ratio 1:1, there must be 420 girls. So, 420 - 300 = 120 girls need to be admitted.
ADRE 2022 • 2022 Paper 4Question 85
Shyam stored ` 35 in the form of 1 rupee coin and 50 paise coins in the ratio 2 : 3. The number of 50 paise coins are :
A.20
B.25
C.30 ✓ (Correct)
D.35
Explanation: Let the number of 1-rupee and 50-paise coins be 2x and 3x. Value equation: (2x × 1) + (3x × 0.50) = 35. 2x + 1.5x = 35. 3.5x = 35. x = 10. The number of 50-paise coins is 3x = 30.
ADRE 2022 • 2022 Paper 4Question 86
Hover means
A.To remain in the air at one place ✓ (Correct)
B.To move to and fro
C.To circle around
D.To move up and down
Explanation: In this context, to hover means to remain suspended in the air over a particular spot (referring to the B-29 fortresses in the sky).
ADRE 2022 • 2022 Paper 4Question 87
A synonym and antonym for the word Scorching would be
A.Searing, Soothing ✓ (Correct)
B.Searing, Burning
C.Soothing, Cooling
D.Soothing, Heating
Explanation: 'Scorching' means intensely hot or burning (synonym: Searing). An antonym for intensely hot or burning would be calming or cooling (antonym: Soothing).
ADRE 2022 • 2022 Paper 4Question 88
If the price of sugar increases by 20%, by what percentage should a household reduce its consumption of sugar so that the budget remains the same ?
A.13 2/3 %
B.14 2/3 %
C.15 2/3 %
D.16 2/3 % ✓ (Correct)
Explanation: If price increases by R%, reduction in consumption = (R / (100+R)) × 100. Here R=20. Reduction = (20 / 120) × 100 = 100/6 = 16.66% or 16 2/3%.
ADRE 2022 • 2022 Paper 4Question 89
A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is
A.45 seconds
B.50 seconds
C.55 seconds ✓ (Correct)
D.60 seconds
Explanation: Total distance to cover = length of train + length of bridge = 100 m + 1000 m = 1100 m. Speed = 20 m/s. Time = Distance / Speed = 1100 / 20 = 55 seconds.
ADRE 2022 • 2022 Paper 4Question 90
The conversion of 0.037 (with bar over 37) in the fractional form is
A.37/990 ✓ (Correct)
B.37/999
C.37/100
D.37/1000
Explanation: Let x = 0.03737... Multiply by 10 to shift non-repeating part: 10x = 0.3737... Multiply by 100 to shift repeating part: 1000x = 37.3737... Subtract the two equations: 1000x - 10x = 37 => 990x = 37 => x = 37/990.
ADRE 2022 • 2022 Paper 4Question 91
The remainder when -76 is divided by 3, is
A.-1
B.1
C.2 ✓ (Correct)
D.-2
Explanation: By the division algorithm, a = bq + r, where 0 <= r < b. Here, -76 = 3(-26) + 2. The positive remainder is 2.
ADRE 2022 • 2022 Paper 4Question 92
The angles of a quadrilateral are in the ratio of 1 : 3 : 4 : 7. The difference between the largest and the smallest angle is
A.120°
B.140°
C.144° ✓ (Correct)
D.145°
Explanation: The sum of angles in a quadrilateral is 360°. Let the angles be x, 3x, 4x, 7x. 15x = 360 => x = 24°. The largest angle is 7x = 168° and smallest is x = 24°. Difference = 168° - 24° = 144°.
ADRE 2022 • 2022 Paper 4Question 93
The company _______ because of the prolonged strikes and lockouts.
A.went into black
B.went into green
C.went into yellow
D.went into red ✓ (Correct)
Explanation: To 'go into the red' is a common idiom in business meaning to fall into debt or operate at a loss.
ADRE 2022 • 2022 Paper 4Question 94
Choose the correct pair of words which are SYNONYMS of each other.
A.Vacillate – Waver ✓ (Correct)
B.Oscillate – Stand
C.Undulate – Flow
D.Spiral – Drip
Explanation: 'Vacillate' and 'Waver' both mean to alternate or waver between different opinions or actions; to be indecisive.
ADRE 2022 • 2022 Paper 4Question 95
Choose the correct pair of words which are ANTONYMS of each other.
A.Lazy – Indolent
B.Glide – Drift
C.Entire – Total
D.Obligatory – Voluntary ✓ (Correct)
Explanation: 'Obligatory' means required by a legal, moral, or other rule; compulsory. 'Voluntary' means done, given, or acting of one's own free will.
ADRE 2022 • 2022 Paper 4Question 96
Choose the correct option which best explains the meaning of the idiom “To give up the ghost”.
A.To exorcise a ghost
B.To die ✓ (Correct)
C.To be possessed by the devil
D.To worship the devil
Explanation: The idiom 'to give up the ghost' means to die or to stop functioning.
ADRE 2022 • 2022 Paper 5Question 97
Who is considered as the Iron Man of India ?
A.Mahatma Gandhi ✓ (Correct)
B.Subhash Chandra Bose
C.B.R. Ambedkar
D.Sardar Vallabhbhai Patel
Explanation: Sardar Vallabhbhai Patel is known as the 'Iron Man of India' for his uncompromising commitment to national integration and uniting the princely states[cite: 1].
ADRE 2022 • 2022 Paper 5Question 98
The product of three numbers which are in the ratio 3:4:5 is found to be 480. The largest number among the three numbers is
A.6 ✓ (Correct)
B.8
C.10
D.12
Explanation: Let the numbers be 3x, 4x, and 5x. Their product is 3x * 4x * 5x = 60x³ = 480. x³ = 8, so x = 2. The largest number is 5x = 5(2) = 10[cite: 1].
ADRE 2022 • 2022 Paper 5Question 99
A number was increased by 30% and thereafter decreased by 30%. The net change in the number in percentage is
A.9% increase ✓ (Correct)
B.10% decrease
C.10% increase
D.9% decrease
Explanation: Let the number be 100. A 30% increase makes it 130. A 30% decrease of 130 is 130 - (0.30 * 130) = 130 - 39 = 91. The net change from 100 to 91 is a 9% decrease[cite: 1].
ADRE 2022 • 2022 Paper 5Question 100
In the equation x² – 2x + 1 = 0, the value of x³ – 1/x³ is :
A.0 ✓ (Correct)
B.1
C.–1
D.2
Explanation: The equation x² - 2x + 1 = 0 factors to (x - 1)² = 0, so x = 1. Therefore, x³ - 1/x³ = 1³ - 1/1³ = 1 - 1 = 0[cite: 1].
ADRE 2022 • 2022 Paper 5Question 101
If A:B = 2:3 and B:C = 4:5, then C:A is :
A.8:5 ✓ (Correct)
B.5:8
C.5:18
D.15:8
Explanation: Make B equal in both ratios: A:B = 8:12 and B:C = 12:15. This gives A:B:C = 8:12:15. Thus, C:A = 15:8[cite: 1].
ADRE 2022 • 2022 Paper 5Question 102
Two natural numbers are in the ratio 3:5 and their product is 135. The smaller number is
A.5 ✓ (Correct)
B.9
C.11
D.15
Explanation: Let the numbers be 3x and 5x. 3x * 5x = 135 => 15x² = 135 => x² = 9 => x = 3. The smaller number is 3x = 3 * 3 = 9[cite: 1].
ADRE 2022 • 2022 Paper 5Question 103
The diagonals of any two squares are in the ratio of 2:3. The areas of the squares are in the ratio of
A.3:5 ✓ (Correct)
B.2:9
C.4:9
D.4:5
Explanation: The area of a square is proportional to the square of its diagonal. Ratio of areas = (2/3)² = 4/9 = 4:9[cite: 1].
ADRE 2022 • 2022 Paper 5Question 104
The area of an isosceles right angled triangle is 81 cm². The length of the hypotenus of the triangle is
A.14 cm ✓ (Correct)
B.16 cm
C.18 cm
D.22 cm
Explanation: Area = 1/2 * base * height. Since it's isosceles, base = height = a. 1/2 * a² = 81 => a² = 162. Hypotenuse = √(a² + a²) = √(162 + 162) = √324 = 18 cm[cite: 1].
ADRE 2022 • 2022 Paper 5Question 105
Economise
A.Enormous ✓ (Correct)
B.Purchase
C.Waste
D.Trade
Explanation: To economise means to spend less; its exact opposite (antonym) is to waste or spend extravagantly[cite: 1].
ADRE 2022 • 2022 Paper 5Question 106
Hamper
A.Promote ✓ (Correct)
B.Stop
C.Barrier
D.Fail
Explanation: To hamper means to hinder or impede the movement or progress of something. The opposite is to promote or assist[cite: 1].
ADRE 2022 • 2022 Paper 5Question 107
Incompetent
A.Unskilled ✓ (Correct)
B.Inefficient
C.Dexterous
D.Useless
Explanation: Incompetent means lacking the necessary ability or skill. Dexterous means showing or having skill, especially with the hands, making it the antonym[cite: 1].
ADRE 2022 • 2022 Paper 5Question 108
Judicious
A.Prudent ✓ (Correct)
B.Irrational
C.Foolish
D.Impatient
Explanation: Judicious means having, showing, or done with good judgment or sense. Prudent is a synonym that carries the exact same meaning[cite: 1].
ADRE 2022 • 2022 Paper 5Question 109
Monotonous
A.Pleasant ✓ (Correct)
B.Varied
C.Variety
D.Tedious
Explanation: Monotonous means dull, tedious, and repetitious; lacking in variety and interest. Tedious is a synonym[cite: 1].
ADRE 2022 • 2022 Paper 5Question 110
The place where airplanes are housed is called a
A.Garage ✓ (Correct)
B.Warehouse
C.Hanger
D.Hangar
Explanation: A hangar is a large building with an extensive floor area, typically for housing aircraft. 'Hanger' is for clothes[cite: 1].
ADRE 2022 • 2022 Paper 5Question 111
He said this ______ oath.
A.by ✓ (Correct)
B.on
C.with
D.from
Explanation: The correct prepositional phrase is 'on oath' or 'under oath', which means having made a formal promise to tell the truth[cite: 1].
ADRE 2022 • 2022 Paper 5Question 112
The plaster on the walls has been removed to expose the original bricks ____.
A.underneath ✓ (Correct)
B.below
C.under
D.inside
Explanation: 'Underneath' means situated directly below something else, especially when concealed or covered by it (like bricks covered by plaster)[cite: 1].
ADRE 2022 • 2022 Paper 5Question 113
This is one of the best book that has been written since ten years.
A.This is one of the best book written in ten years. ✓ (Correct)
B.This is one of the best books that have been written in ten years.
C.This is one of the best books written since ten years.
D.This is one of the best books that has been written since ten years.
Explanation: The phrase 'one of the' must be followed by a plural noun ('books'). The relative pronoun 'that' refers to 'books', making the verb plural ('have'). 'In ten years' accurately defines the duration[cite: 1].
ADRE 2022 • 2022 Paper 5Question 114
Please ______ to let the children pass.
A.stand aside ✓ (Correct)
B.stand to the side
C.stand in the side
D.stand on the side
Explanation: 'Stand aside' is the correct phrasal verb meaning to step out of the way to allow someone to pass[cite: 1].
ADRE 2022 • 2022 Paper 5Question 115
Cut out a Decagon through one of its vertices, in the form of triangles. Total number of triangle cut-outs will be
A.5 ✓ (Correct)
B.6
C.7
D.8
Explanation: A polygon with 'n' sides can be divided into (n - 2) non-overlapping triangles from a single vertex. For a decagon (10 sides), it is 10 - 2 = 8 triangles[cite: 1].
ADRE 2022 • 2022 Paper 5Question 116
In a code, BEC means 'books are old', EDF means 'man is old' and CGH means 'buy good books'. The code for 'books' is
A.B ✓ (Correct)
B.C
C.E
D.D
Explanation: Comparing BEC and EDF, 'E' = 'old'. Comparing BEC and CGH, 'C' = 'books'. Therefore, the code for 'books' is C[cite: 1].
ADRE 2022 • 2022 Paper 5Question 117
If "Conductor" is related to "Bus", then "Referee" is related in a similar way to which of the following ?
A.Cricket ✓ (Correct)
B.Hockey
C.Football
D.Chess
Explanation: A conductor works inside a bus to control ticket operations. A referee works inside a football (or similar sports) pitch to control the game[cite: 1].
ADRE 2022 • 2022 Paper 5Question 118
Identify the term which refers to an area of higher studies :
A.Diplomacy ✓ (Correct)
B.Mathematics
C.Apology
D.Callisthenics
Explanation: Mathematics represents an established academic discipline and area of higher studies. The other terms signify practices or expressions, not primary academic areas[cite: 1].
ADRE 2022 • 2022 Paper 5Question 119
Sneha cut off a rectangle along the dotted line as shown. The cut piece was parallelly shifted to the other side and fixed it there. What shape will Sneha get now ?
A.Pentagon ✓ (Correct)
B.Square
C.Parallelogram
D.Trapezium
Explanation: When you cut a right-angled triangle from one side of a rectangle and shift it to the opposite side, the resulting shape preserves parallel opposite sides and forms a parallelogram[cite: 1].
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