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Question : Select the most appropriate meaning of the given idiom. Spill the beans
Option 1: Open the flow of the stopped water
Option 2: Liberate the controlled emotions
Option 3: Distribute food grains freely
Option 4: Disclose the secrets accidentally
Correct Answer: Disclose the secrets accidentally
Solution : The correct choice is the fourth option.
Spill the beans to disclose the secrets accidentally which in turn means revealing or disclosing hidden information or secrets, often unintentionally.
Question : If $x + y = 10$, $2xy = 48$ and $x > y$, then find $2x - y$.
Option 1: 6
Option 2: 8
Option 3: 4
Option 4: 3
Correct Answer: 8
Solution : Given that $x + y = 10$ and $2xy = 48$, $⇒y = 10 - x$ Substituting this into the second equation, $⇒2x(10 - x) = 48$ $⇒x^2-10x+24=0$ $⇒(x-4)(x-6)=0$ $x = 6$ and $x = 4$ But given that $x > y$, we take $x
Question : _____scheme launched by the Central Government aims to improve rural livelihoods, promote rural development, and strengthen the Panchayati Raj across the country.
Option 1: Pradhan Mantri Fasal Bima Yojana
Option 2: Gram Uday se Bharat Uday Abhiyan
Option 3: Stand up India scheme
Option 4: National RU URBAN Mission
Correct Answer: Gram Uday se Bharat Uday Abhiyan
Solution : The correct answer is Gram Uday se Bharat Uday Abhiyan.
The comprehensive scheme aims to promote social harmony and empower people in villages by upgrading Panchayati Raj Institutions with basic amenities such as drinking water, sanitation, etc. This nationwide program
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct. It is the most effective means of mass communication.
Option 1: a most effecting
Option 2: a most effectives
Option 3: the most effectively
Option 4: No improvement
Correct Answer: No improvement
Solution : The fourth option is the correct choice.
The original sentence is already grammatically correct. It uses the superlative form the most effective to convey that the means of mass communication being discussed is the most efficient or successful among various options.
Therefore, no improvement
Question : Directions: If A denotes addition, B denotes multiplication, C denotes subtraction, and D denotes division, then what will be the value of the following expression? 74 A (31 B 2) B 2 C (68 C 4) D (4 B 2) = ?
Option 1: 188
Option 2: 190
Option 3: 98
Option 4: 160
Correct Answer: 190
Solution : Given: 74 A (31 B 2) B 2 C (68 C 4) D (4 B 2) = ?
On replacing the alphabet with mathematical signs, we get – = 74 + (31 × 2) × 2 – (68 – 4) ÷ (4 × 2) =
Question : In the given figure $\mathrm{PQRS}$, a square of side $20\;\mathrm{cm}$ and $\mathrm{SR}$ is extended to point $\mathrm{T}$. If the length of $\mathrm{QT}$ is $25\;\mathrm{cm}$, then what is the distance (in $\mathrm{cm}$) between the centres, $\mathrm{O_1}$ and $\mathrm{O_2}$, of the two circles?
Option 1: $5\sqrt{10}$
Option 2: $4\sqrt{10}$
Option 3: $2\sqrt{10}$
Option 4: $16\sqrt{2}$
Correct Answer: $5\sqrt{10}$
Solution :
We have, $\mathrm{QT}=25\;\mathrm{cm}$ and $\mathrm{QR=SR}=20\;\mathrm{cm}$ Construction: Join $\mathrm{O_1B}$ and $\mathrm{O_2C}$. In $\triangle \mathrm{QRT}$, $⇒\mathrm{QT^2=QR^2+RT^2}$ $⇒\mathrm{RT=15}\;\mathrm{cm}$ Inradius of triangle QRT $=\mathrm{\frac{15+20-25}{2} = 5\;\mathrm{cm}}$ $⇒\mathrm{O_2C=5\;\mathrm{cm}}$ Since, $\mathrm{O_1B=10}\;\mathrm{cm}$ and $\mathrm{AB=5\;\mathrm{cm}}$ $⇒\mathrm{O_1A= O_1B-AB=5\;\mathrm{cm}}$ $⇒\mathrm{O_2A= O_1B+AB=15\;\mathrm{cm}}$ Use Pythagoras' theorem in $\triangle\mathrm{ AO_1O_2}$ $⇒\mathrm{(O_1O_2)^2=(O_1A)^2+(O_2A)^2=15^2+5^2=250}$ $⇒\mathrm{O_1O_2}=5\sqrt{10}\;\mathrm{cm}$ Hence, the correct answer is $5\sqrt{10}$.
Question : Deepali made a model of a cylindrical kaleidoscope for her science project. She uses a chart paper to make it. if the length of the kaleidoscope is 25 cm and the radius is 3.5 cm, the area of the paper she used, in the project is: $\left ( \pi=\frac{22}{7} \right )$
Option 1: 1100 cm2
Option 2: 550 cm2
Option 3: 500 cm2
Option 4: 450 cm2
Correct Answer: 550 cm2
Solution : The area of the paper used to make the cylindrical kaleidoscope $= 2\pi r h$, where \(r\) is the radius of the cylinder and \(h\) is the height of the cylinder. Given: r = 3.5 cm and h = 25 cm Area required
Question : Select the most appropriate ANTONYM of the given word. Abhor
Option 1: Occupy
Option 2: Despise
Option 3: Danger
Option 4: Love
Correct Answer: Love
Solution : The correct answer to this question is the fourth option.
Explanation: "Abhor" and "love" are opposites in terms of emotions and attitudes. When you abhor something, you have a strong dislike or hatred for it. On the other hand, when you love something, you have
Question : Directions: Select the related letter cluster from the given alternatives. DHLP : WSOK :: FJNR : ?
Option 1: UQMI
Option 2: TPLH
Option 3: SOKG
Option 4: VRNJ
Correct Answer: UQMI
Solution : Given: DHLP : WSOK :: FJNR : ?
Like, DHLP : WSOK→(DW, HS, LO, PK) are opposite pairs. Similarly, FJNR : (?)→(FU, JQ, NM, RI) are opposite pairs.
Thus, FJNR is coded as UQMI. Hence, the first option is correct.
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 63
Option 2: 69
Option 3: 65
Option 4: 66
Correct Answer: 66
Solution : Let's check the options – First option: 63; 63 is an odd number as it is not divisible by 2. Second option: 69; 69 is an odd number as it is not divisible by 2. Third option: 65; 65 is an odd number as it
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