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Question : The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/h is:
Option 1: $600$
Option 2: $600(\sqrt{3}+1)$
Option 3: $600\sqrt{3}$
Option 4: $600(\sqrt{3}–1)$
Correct Answer: $600(\sqrt{3}–1)$
Solution : Let the vertical height be $h$ and horizontal distance be $B_{1}$ when the elevation is 45° and $B_{2}$ when the elevation is 30°. Using trigonometry ratio, when elevation is 45°. $\tan\theta =\frac{\text{Height}}{\text{Distance}}$ ⇒ $\tan45° = \frac{h}{B_{1}}$ ⇒ $1 = \frac{h}{B_{1}}$ ⇒ $B_{1} = h$ Using
Question : Which of the following is measured in its SI-derived unit called Tesla?
Option 1: Magnetic flux density
Option 2: Luminous flux
Option 3: Capacitance
Option 4: Illuminance
Correct Answer: Magnetic flux density
Solution : The correct option is Magnetic flux density.
Magnetic flux density is the physical quantity that is measured in its SI-derived unit, the Tesla. In the International System of Units (SI), the magnetic flux density is measured in Tesla (symbol: T). It bears
Question : Select the most appropriate ANTONYM of the underlined word.
The manager decided to resign from his post as the bank was declared to be insolvent.
Option 1: Independent
Option 2: Commercial
Option 3: Affluent
Option 4: Bankrupt
Correct Answer: Affluent
Solution : The correct choice is the third option.
Explanation:
The word insolvent describes a situation where an individual or organisation is unable to meet financial obligations and is, in essence, bankrupt. To find the antonym, we look for a word that indicates financial prosperity or wealth.
Question : A merchant purchases a wristwatch for Rs. 450 and fixes its list price in such a way that, after allowing a discount of 10%, he earns a profit of 20%. Find the list price of the watch.
Option 1: Rs. 480
Option 2: Rs. 450
Option 3: Rs. 600
Option 4: Rs. 540
Correct Answer: Rs. 600
Solution : Cost price of the watch = Rs. 450 Profit percentage = 20% The selling price of the watch = cost price + profit = $450 + 20$% of $450$ = $450 + \frac{20 × 450}{100}$ = $450+\frac{9000}{100}$ = $450 + 90$ = $540$ Discount
Question : Identify the segment in the sentence which contains a grammatical error.
She is not as smart as I think at first.
Option 1: I think
Option 2: She is not
Option 3: as smart as
Option 4: at first
Correct Answer: I think
Solution : The correct choice is the first option.
The past tense thought should be used because it refers to a past action. The speaker is reflecting on their past thoughts or impressions about the person's intelligence. The past tense thought helps to convey the
Question : Bhopal gas tragedy is associated with the leakage of
Option 1: carbon dioxide
Option 2: Nitrogen dioxide
Option 3: Sulphur dioxide
Option 4: Methyl isocyanate
Correct Answer: Methyl isocyanate
Solution : The correct answer is Methyl isocyanate.
Methyl isocyanate is a flammable gas which is used in pesticide production. It readily forms vapours when exposed to air. It is a highly poisonous gas. On December 3, 1984, more than 40 tons of Methyl isocyanate gas
Question : Directions: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? ab_dda_ccd_bb_d_
Option 1: ccaac
Option 2: cbaca
Option 3: cbcba
Option 4: cbbcd
Correct Answer: cbaca
Solution : Given: ab_dda_ccd_bb_d_
To fill the series we have to divide the series – ab_d / da_c / cd_b / b_d_ Let's check the options – First option: ccaac; abcd / dacc / cdab / badc (No
Question : What is the difference between a discount of 35% and two successive discounts of 30% and 5% on a bill of INR 10,00,000?
Option 1: INR 15,500
Option 2: INR 15,000
Option 3: INR 14,000
Option 4: INR 16,500
Correct Answer: INR 15,000
Solution : First discount = 35% Successive discounts = 30% and 5% Effective discount = 30 + 5 – $\frac{30 ×5}{100}$ = 35 – 1.5 = 33.5% Required difference = (35 – 33.5)% of 10,00,000 = $\frac{1.5}{100}×10,00,000$ = 15,000 Hence, the correct answer is INR 15,000.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (23, 25, 16) (21, 17, 256)
Option 1: (14, 19, 125)
Option 2: (27, 23, 64)
Option 3: (18, 15, 81)
Option 4: (11, 9, 12)
Correct Answer: (18, 15, 81)
Solution : Given: (23, 25, 16); (21, 17, 256)
Here, (23, 25, 16)→(25 – 23)4 = (2)4 = 16 (21, 17, 256)→(21 – 17)4 = (4)4 = 256
Let's check the options – First option: (14, 19, 125)→(19 – 14)4
Question : $\Delta ABC$ and $\Delta DEF$ are two similar triangles and the perimeters of $\Delta ABC$ and $\Delta DEF$ are 90 cm and 54 cm respectively. If the length of DE = 36 cm, then the length of AB is:
Option 1: 60 cm
Option 2: 40 cm
Option 3: 45 cm
Option 4: 50 cm
Correct Answer: 60 cm
Solution : The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides. $\frac{{AB}}{DE} = \frac{\text{Perimeter of $\Delta ABC$}}{\text{Perimeter of $\Delta DEF$}}$ ⇒ $\frac{AB}{36\;cm} = \frac{90\;cm}{54\;cm}$ ⇒ AB = 60 cm Hence, the correct answer is 60 cm.
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