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Question : Directions: Select the option in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the second option figure.
Hence, the second option is
Question : Directions: Which number will replace the question mark (?) in the following series? 3, 12, 52, 159, 640, ?
Option 1: 1910
Option 2: 1731
Option 3: 1863
Option 4: 1923
Correct Answer: 1923
Solution : Given: 3, 12, 52, 159, 640, ?
Multiply and add 3 and 4 alternatively in each number to get the required missing number in the series – 3 × 3 + 3 = 9 + 3 = 12, 12 × 4 + 4 = 48
Question : From the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in m) between the height of the pole and its distance from the hill is:
Option 1: $120(2-\sqrt3$)
Option 2: $120(\sqrt3-1)$
Option 3: $80(\sqrt3-1$)
Option 4: $80(2-\sqrt3)$
Correct Answer: $80(2-\sqrt3)$
Solution : As per the figure shown above, AD = 240 m In $\triangle ADE$, $⇒\tan 60^{\circ}=\frac{AD}{DE}$ $⇒\sqrt3=\frac{240}{DE}$ $⇒DE=80\sqrt3$ In $\triangle ABC$, $⇒\tan 30^{\circ}=\frac{AB}{BC}$ $⇒\frac{1}{\sqrt3}=\frac{AB}{BC}$ $⇒BC=AB{\sqrt3}$ From the figure, BC = DE. $⇒80\sqrt3=AB{\sqrt3}$ $⇒AB=80$ m The height of the pole BD = 240 – AB = 240
Question : An article is sold for INR 864 after two successive equal discounts of 25% each on its marked price. What is the discount (in INR)?
Option 1: 698
Option 2: 612
Option 3: 584
Option 4: 672
Correct Answer: 672
Solution : Here Marked price is denoted by MP, selling price is denoted by SP. Given: SP = INR 864 Discount = 25% each Let the MP be $x$ According to the question, $x×\frac{100-25}{100}×\frac{100-25}{100}=864$ ⇒ $x×\frac{75}{100}×\frac{75}{100}=864$ ⇒ $\frac{9x}{16}=864$ ⇒ $x=1536$ We know that, Discount = MP –
Question : Two runners, A and B, start running at 12 km/h and 16 km/h, towards each other. They meet after 1 hour and 30 minutes. How far (in kilometres) were they from each other when they started?
Option 1: 42
Option 2: 36
Option 3: 40
Option 4: 45
Correct Answer: 42
Solution : Here speeds of A and B are 12 km/h and 16 km/h respectively. They meet after 1 hour and 30 minutes i.e. $1\frac{30}{60}=\frac{3}{2}$ hour. Now the distance covered by A is = $12×\frac{3}{2}=18$ km. Also the distance covered by B is = $16×\frac{3}{2}=24$ km. Therefore,
Question : Researchers from the UK and India have developed a hand-washing robot, which has been named:
Option 1: Gope
Option 2: Hepe
Option 3: Pepe
Option 4: Hope
Correct Answer: Pepe
Solution : The correct answer is Pepe.
Researchers from India and the United Kingdom have developed a hand-washing robot which is named Pepe & it was created to encourage children to wash their hands. It was the second such ‘social robot’ research project conducted by the University
Question : Which is the post-harvest folk dance in Assam?
Option 1: Ankia Nat
Option 2: Bihu
Option 3: Raut Nacha
Option 4: Namgen
Correct Answer: Bihu
Solution : The correct option is Bihu
Three significant cultural festivals known collectively as "Bihu" are celebrated in the Indian state of Assam: "Rongali" or "Bohag Bihu" in April, "Kongali" or "Kati Bihu" in October or November, and "Bhogali" or "Magh Bihu" in January. Bohag Bihu is
Question : The Gulf of Khambhat, the Gulf of Kutch, and the Sundarbans region provide ideal conditions for utilising ________ energy in India.
Option 1: wind
Option 2: thermal
Option 3: tidal
Option 4: solar
Correct Answer: tidal
Solution : The correct answer is tidal.
Tidal energy is the energy which is generated by converting energy from tides into electricity using different methods. The power is generated by the turbines, which work when the rise and fall of the tides occur. It is a renewable
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
You must accustom yourself with new ideas.
(1) accustomed yourself with
(2) accustom yourself to
(3) get accustom to
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct answer: "accustom yourself to"
The verb "accustom" means to make someone or something used to something. It is always followed by the preposition "to," not "with."
Hence, the correct sentence is: "You must accustom yourself to new ideas."
Question : If 10 men can do work in 10 days, then in how much time will 2 men do the same work?
Option 1: 75 days
Option 2: 60 days
Option 3: 25 days
Option 4: 50 days
Correct Answer: 50 days
Solution : We know, $M_1D_1= M_2D_2$, where $M_1$ and $M_2$ are persons and $D1$ and $D_2$ are days. Here, $M_1$ = 10, $M_2$ = 2, and $D_1$ = 10 days So, 10 × 10 = 2 × $D_2$ ⇒ $D_2$ = $\frac{100}{2}$ = 50 days Hence,
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