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Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 1 to 5 and that of Matrix (II) are numbered from 6 to 10. A letter from these matrices can be represented first by its row and next by its column, e.g. A can be represented by 11, 23, etc. and G can be represented by 67, 78, etc. Similarly, you have to identify the set for the word given below. BEE Matrix I
Matrix II
Option 1: 12, 15, 41
Option 2: 12, 21, 15
Option 3: 12, 15, 33
Option 4: 21, 12, 22
Correct Answer: 12, 21, 15
Solution : Given: BEE
Number representations of each letter – B→31, 12, 53, 24, 55 E→21, 52, 43, 34, 15, 107, 1010 E→21, 52, 43, 34, 15, 107, 1010
First option: 12, 15, 41; E cannot be represented by 41. Second option: 12, 21,15; All
Question : Programs that duplicate the functionality of one system on another system are known as
Option 1: emulators
Option 2: simulators
Option 3: evaluators
Option 4: PCB
Correct Answer: emulators
Solution : The correct answer is emulators.
Emulators are programs that simulate the behaviour of one computer system or platform on another. This can be beneficial for a variety of applications, including running older software on new technology and testing software in many contexts. Emulators are widely
Question : What is the name of the scheme launched in 2021 for students to attain foundational literacy and numeracy up to class 3?
Option 1: NIPUN Bharat
Option 2: NISHTHA 2.0
Option 3: SUGAM
Option 4: SAFAL
Correct Answer: NIPUN Bharat
Solution : The correct answer is NIPUN Bharat.
The NIPUN (National Initiative for Proficiency in Reading with Understanding and Numeracy) Bharat Scheme, introduced by the Ministry of Education, attempts to meet the educational needs of kids between the ages of three and nine.
Question : Directions: Find the odd word from the given responses.
Option 1: Ink
Option 2: Paper
Option 3: Office
Option 4: Pen
Correct Answer: Office
Solution : Let's check the options – First option: Ink; Ink is a stationery item. Second option: Paper; Paper is a stationery item. Third option: Office; Office is not a stationery item. Fourth option: Pen; Pen is a stationery item.
So, from the given words, except office,
Question : If $a+\frac{1}{a}=3$, then $a^3+\frac{1}{a^3}$ is:
Option 1: 27
Option 2: 24
Option 3: 18
Option 4: 25
Correct Answer: 18
Solution : Given: $(a + \frac{1}{a}) = 3$ (equation 1) The value of $(a^3 + \frac{1}{a^3})$ by using the identity, $[a^3 + \frac{1}{a^3} = (a + \frac{1}{a})^3 – 3(a + \frac{1}{a})]$. Substitute the value from the equation 1 into the above equation, we get, $a^3 + \frac{1}{a^3}
Question : Study the graph and answer the question
Total production of wheat in states A, B, and E is what percentage less than the total production of rice in states C, D, and E?
Option 1: 12.2
Option 2: 12
Option 3: 10
Option 4: 11.1
Correct Answer: 10
Solution : Total production of wheat in states A, B, and E = 500 + 375 + 475 = 1350 Total production of rice in states C, D, and E = 575 + 400 + 525 = 1500 Difference = 1500 – 1350 = 150 The required
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. SOC : TND :: UDN : ?
Option 1: VCP
Option 2: UCO
Option 3: VCO
Option 4: OCV
Correct Answer: VCO
Solution : Given: SOC : TND :: UDN : ?
Add and subtract 1 alternately from the place value of the letters of the given term, to obtain the required missing term – Like, SOC : TND→S + 1 = T; O – 1 = N; C
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 63, 56, 49, 42, 35, 28, ?
Option 1: 14
Option 2: 21
Option 3: 22
Option 4: 35
Correct Answer: 21
Solution : Given: 63, 56, 49, 42, 35, 28, ?
In the above-given series, subtract 7 from the previous number to get the next number. 63 – 7 = 56; 56 – 7 = 49; 49 – 7 = 42; 42 – 7 = 35; 35 –
Question : If $\cos\theta - \sin\theta =0$, then $(\sin^8\theta+\cos^8\theta)$ is:
Option 1: $\frac{1}{8}$
Option 2: $ \frac{1}{4}$
Option 3: $\frac{1}{6}$
Option 4: $\frac{1}{2}$
Correct Answer: $\frac{1}{8}$
Solution : Given: $\cos\theta - \sin\theta =0$ ⇒ $\sin\theta = \cos\theta$ $\sin\theta$'s value is only equal with $\cos\theta$ when $\theta = 45°$ ⇒ $\sin\theta = \cos\theta = \frac{1}{\sqrt2}$ $(\sin^8\theta+\cos^8\theta)$ = $(\sin^845°+\cos^845°)$ = $(\frac{1}{\sqrt2})^8+ (\frac{1}{\sqrt2})^8$ = $\frac{1}{16}+\frac{1}{16}$ = $\frac{2}{16}$ = $\frac{1}{8}$ Hence, the correct answer is $\frac{1}{8}$.
Question : A person sells an article for a loss of 18%. If he increases the selling price by INR 144 and decreases the cost price by 30%, then there is a profit of 20%. What is the original selling price?
Option 1: INR 5,068
Option 2: INR 6,036
Option 3: INR 5,904
Option 4: INR 6,124
Correct Answer: INR 5,904
Solution : Given: A person sells an article for a loss of 18%. Let the selling price (SP) and cost price (CP) of an article be INR $x$ and INR $y$ respectively. Profit $=x–y$ Loss $=y–x$ Profit percentage $=\frac{(x–y)}{y}\times 100$ Loss percentage $=\frac{(y–x)}{y}\times 100$ According to
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