Correct answer: Obedient. Impudent means rude and disrespectful, so “obedient” (respectful and submissive) is the best opposite given.
Background: The word comes from the Latin impudens, “shameless”.
Did you know? A synonym is “insolent”.
Memory trick: Impudent = rude; opposite = respectful.
Correct answer: Negligent. Diligent means careful and hardworking, and “negligent” (careless) is its opposite.
Background: Negligence means failure to take proper care.
Did you know? Diligent and negligent look alike, but their meanings are opposite.
Memory trick: Diligent ↔ Negligent.
Correct answer: Carefree. Blithe means cheerful and carefree.
Background: “Blithe” often describes someone who shows no concern.
Did you know? Noël Coward’s famous play is called Blithe Spirit.
Memory trick: Blithe = light-hearted.
Correct answer: Misrepresentation. A travesty is an absurd or distorted imitation, so “misrepresentation” is the closest synonym.
Background: “A travesty of justice” means a very unfair judgment.
Did you know? The word comes from the Italian travestire, “to disguise”.
Memory trick: Travesty = twisted imitation.
Correct answer: Panacea. A panacea is a remedy for all diseases or problems.
Background: It comes from the Greek Panakeia, the goddess of healing.
Did you know? Pan = all, akos = cure.
Memory trick: Pan (all) + akos (cure) = panacea.
Correct answer: Down. “Turn down” means to reject.
Background: Phrasal verbs change meaning with the preposition.
Did you know? “Turn down” can also mean to lower the volume.
Memory trick: Turn down = say no.
Correct answer: For. “Concerned for” means worried about someone’s welfare.
Background: “Concerned about” is also commonly used in this sense.
Did you know? Concern for = care for.
Memory trick: Concerned FOR = caring for.
Correct answer: 14. 14 × 14 × 14 = 2744, so the cube root is 14.
Background: 2744 ends in 4, so its cube root must also end in 4.
Did you know? Perfect cubes to remember: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000.
Memory trick: Last digit 4 → cube root ends in 4.
Correct answer: 2⁶. (2³)² = 2^(3 × 2) = 2⁶ = 64.
Background: Power rule: (aᵐ)ⁿ = aᵐⁿ.
Did you know? 2⁶ = 64, not 32.
Memory trick: Power of a power → multiply the powers.
Correct answer: 0, 8. Equal roots need b² − 4ac = 0, so k² − 8k = 0, i.e. k(k − 8) = 0, giving k = 0 or k = 8.
Background: A quadratic has equal roots when its discriminant is zero.
Did you know? For k = 0 the equation becomes 2x² = 0.
Memory trick: Equal roots → D = 0.
Correct answer: 15, 20, 25. 15² + 20² = 225 + 400 = 625 = 25², so these sides satisfy the Pythagorean theorem.
Background: The longest side is the hypotenuse.
Did you know? 15, 20, 25 is the 3-4-5 triangle multiplied by 5.
Memory trick: 3-4-5 × 5 = 15-20-25.
Correct answer: √5. Distance = √(x² + y²) = √(2² + 1²) = √5.
Background: The distance formula comes from the Pythagorean theorem.
Did you know? √5 is about 2.24.
Memory trick: d = √(x² + y²).
Correct answer: Auto Fit. AutoFit Column Width adjusts the column to fit the longest entry.
Background: You can also double-click the right edge of a column header to AutoFit.
Did you know? AutoFit Row Height does the same for rows.
Memory trick: AutoFit = fits the content.
Correct answer: None of these. Multiplying by x(x − 3) gives 2(x − 3) + 3x = x(x − 3), so x² − 8x + 6 = 0 and x = 4 ± √10, which is not among the options.
Background: The restrictions are x ≠ 0 and x ≠ 3, because those values make a denominator zero.
Did you know? The roots 4 + √10 and 4 − √10 are about 7.16 and 0.84.
Memory trick: Multiply through by the LCM x(x − 3) first.
Correct answer: −2. 4x − 10x = 15 − 3, so −6x = 12 and x = −2.
Background: Put the x terms on one side and the numbers on the other.
Did you know? Check: 4(−2) + 3 = −5 and 10(−2) + 15 = −5.
Memory trick: x terms left, numbers right.
Correct answer: 8 min 20 sec. Light travels about 150 million km at about 300,000 km/s, so sunlight takes about 8 minutes 20 seconds.
Background: The exact time varies slightly because Earth’s orbit is not a perfect circle.
Did you know? Moonlight takes only about 1.3 seconds to reach Earth.
Memory trick: 8 min 20 sec.
Correct answer: Plastic. Plastic is amorphous: its particles are not arranged in a regular repeating pattern.
Background: Crystalline solids have a regular internal arrangement and sharp melting points.
Did you know? Glass is another well-known amorphous solid.
Memory trick: Crystals: salt, sugar, ice. Amorphous: plastic, glass.
Correct answer: Stem. The part of ginger we eat is a rhizome, an underground stem.
Background: Rhizomes have nodes and buds, which roots do not.
Did you know? Turmeric is also a rhizome.
Memory trick: Ginger and turmeric = underground stems.
Correct answer: EEG. An EEG (electroencephalogram) records the brain’s electrical activity.
Background: Electrodes are placed on the scalp.
Did you know? EEG is used to diagnose conditions such as epilepsy.
Memory trick: E for Encephalon (brain); C for Cardio (heart).
Correct answer: To send and receive messages. E-mail is mainly used to send and receive messages electronically.
Background: E-mail is one of the oldest internet services.
Did you know? Ray Tomlinson sent the first networked e-mail in 1971.
Memory trick: E-mail = electronic mail.
Correct answer: Preventing unauthorized access. A firewall monitors and filters network traffic to block unauthorized access.
Background: Firewalls can be hardware, software, or both.
Did you know? The word comes from the walls built in buildings to stop fire from spreading.
Memory trick: Firewall = security guard of the network.
Correct answer: Title Slide. A new PowerPoint presentation starts with the Title Slide layout for the first slide.
Background: A layout decides where the text and objects are placed on a slide.
Did you know? You can change a layout from the Home tab’s Layout button.
Memory trick: First slide → Title Slide.
Correct answer: Show/Hide feature. The Show/Hide (¶) button displays formatting marks such as spaces, tabs, and paragraph marks.
Background: It is in the Paragraph group of the Home tab.
Did you know? The shortcut in Word is Ctrl + Shift + 8.
Memory trick: ¶ button = show hidden marks.
Correct answer: North Atlantic Ocean. The Gulf Stream is a warm current in the North Atlantic that flows from the Gulf of Mexico along the US east coast toward Europe.
Background: It helps keep the climate of Western Europe milder than other places at the same latitude.
Did you know? It carries about 100 times more water than all the world’s rivers combined.
Memory trick: Gulf Stream → North Atlantic.
Correct answer: Thal. The Thal Desert lies in Punjab between the Indus and Jhelum rivers.
Background: Irrigation, such as the Thal Canal, has turned parts of it into farmland.
Did you know? Thal is mainly in the districts of Bhakkar, Layyah, Khushab, and Mianwali.
Memory trick: Thal = between two rivers.