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Question : Which of the following is a conductor of electricity?
Option 1: Rubber
Option 2: Pure water
Option 3: Saltwater
Option 4: Benzene
Correct Answer: Saltwater
Solution : The correct answer is Saltwater.
Saltwater conducts electricity more effectively than pure or "normal" water. When salt (sodium chloride, NaCl) is dissolved in water, ions are dissolved in the solution, especially sodium (Na+) and, chloride (Cl-) ions. As a result, the solution has a
Question : Directions: If + means ×, – means ÷, × means +, and ÷ means −, then what will be the value of the following expression? 42 × 168 – 8 ÷ 4 + 3 = ?
Option 1: 62
Option 2: 45
Option 3: 56
Option 4: 51
Correct Answer: 51
Solution : Given: + means ×, – means ÷, × means +, and ÷ means − 42 × 168 – 8 ÷ 4 + 3 = ?
After interchanging the given mathematical signs, we get – ⇒ 42 + 168 ÷ 8 – 4 × 3 ⇒
Question : A sum of Rs. 500 becomes Rs. 580 at simple interest in 2 years. In how many years will the sum of Rs. 650 amounts to Rs. 858 at the same rate of simple interest?
Option 1: 4 years
Option 2: 8 years
Option 3: 5 years
Option 4: 6 years
Correct Answer: 4 years
Solution : Given: A sum of Rs. 500 becomes Rs. 580 at simple interest in 2 years. Principal ($P$) = Rs. 500 Simple interest ($I$) = 580 – 500 = Rs. 80 Time ($T$) = 2 years So, the rate of interest ($R$) = $\frac{100×I}{P×T}$ =
Question : Select the INCORRECTLY spelt word.
Option 1: Laproscopy
Option 2: Generate
Option 3: Intermittent
Option 4: Guise
Correct Answer: Laproscopy
Solution : The correct choice is the first option.
The correct spelling of the medical term is laparoscopy. The misspelling is that there should be an "a" after "p", which makes it incorrect. The correct spelling refers to a surgical procedure that uses a laparoscope
Question : The difference between compound interest and simple interest for 3 years and 2 years are in the ratio 23 : 7, respectively. What is the rate of interest per year (in %)?
Option 1: $\frac{200}{7}$
Option 2: $\frac{100}{7}$
Option 3: $\frac{300}{7}$
Option 4: $\frac{400}{7}$
Correct Answer: $\frac{200}{7}$
Solution : Difference between CI and SI for 2 years = $\frac{PR^2}{10000}$ Difference between CI and SI for 3 years = $\frac{PR^2}{10000}×\frac{300+R}{100}$ Ratio = $\frac{PR^2}{10000}×\frac{300+R}{100}$:$\frac{PR^2}{10000}$ ⇒ $23 : 7 = \frac{300+R}{100}:1$ ⇒ $\frac{300+R}{100} = \frac{23}{7}$ ⇒ $7(300+R) = 2300$ ⇒ $ R = \frac{200}{7}$% Hence, the correct
Question : Two numbers are in the ratio 5 : 3 and the difference between these two numbers is 34. Find the smaller of the two numbers.
Option 1: 51
Option 2: 85
Option 3: 68
Option 4: 34
Solution : Let the numbers be $5x$ and $3x$. According to the question, $5x - 3x = 34$ ⇒ $2x = 34$ ⇒ $x = \frac{34}{2}= 17$ Large number is 5$x$ = 5 × 17 = 85 Smaller number is 3$x$ = 3 × 17 = 51
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Karen sat at the table __________ a newspaper.
Option 1: Writing
Option 2: Fidgeting
Option 3: Looking
Option 4: Reading
Correct Answer: Reading
Solution : The correct choice is the fourth option "reading".
"Reading'' fits perfectly in the sentence indicating that Karen is engaged in the activity of reading a newspaper while sitting at the table.
The meanings of the other options are as follows:
Question : If $6 \sec \theta=10$, then find the value of $\frac{5 \operatorname{cosec} \theta-3 \cot \theta}{4 \cos \theta+3 \sin \theta}$.
Option 1: $\frac{2}{3}$
Option 2: $\frac{3}{2}$
Option 3: $\frac{5}{6}$
Option 4: $\frac{6}{5}$
Correct Answer: $\frac{5}{6}$
Solution : Given, $6 \sec \theta=10$ ⇒ $\sec\theta=\frac{10}{6}=\frac53$ We know, $\sec\theta = \frac{1}{\cos\theta},\sin^2\theta+\cos^2\theta=1\text{ and }\operatorname{cosec\theta}=\frac{1}{\sin\theta}$ ⇒ $\cos\theta=\frac{3}{5}$ ⇒ $\sin\theta=\sqrt{1-\cos^2\theta}$ ⇒ $\sin\theta=\sqrt{1-(\frac{3}{5})^2}$ ⇒ $\sin\theta=\sqrt{1-\frac{9}{25}}$ ⇒ $\sin\theta=\sqrt{\frac{25-9}{25}}$ ⇒ $\sin\theta=\sqrt{\frac{16}{25}}$ ⇒ $\sin\theta=\frac{4}{5}$ ⇒ $\operatorname{cosec\theta}=\frac54$ ⇒ $\cot\theta=\frac{\cos\theta}{\sin\theta}=\frac{3}{4}$ So, $\frac{5 \operatorname{cosec} \theta-3 \cot \theta}{4 \cos \theta+3 \sin \theta}=\frac{5\times\frac54-3\times\frac34}{4\times\frac35+3\times\frac45}=\frac{\frac{25}{4}-\frac{9}{4}}{\frac{12}{5}+\frac{12}{5}}=\frac{\frac{16}{4}}{\frac{24}{5}}=\frac{16\times5}{4\times 24}=\frac56$ Hence, the correct
Question : "Bathukamma" and "Bonalu" are state festivals of:
Option 1: Kerala
Option 2: Telangana
Option 3: Tamil Nadu
Option 4: Karnataka
Correct Answer: Telangana
Solution : The correct answer is Telangana.
"Bathukamma" and "Bonalu" are state festivals in Telangana. Women in Telangana celebrate Bathukamma, a festival featuring flowers that grow only in that region. The celebration starts one week before the main "Saddula Bathukamma," which takes place two days before
Question : Directions: In a certain code language, SOUP is written as VLRS, and BACK is written as EXFN. How will TYPE be written in that language?
Option 1: WCSC
Option 2: WBSH
Option 3: WBSB
Option 4: VBRB
Correct Answer: WBSB
Solution : Given: SOUP is written as VLRS, and BACK is written as EXFN.
Add 3 to the place values of the consonants and subtract 3 from the place value of the vowels of SOUP and BACK to obtain the required codes – SOUP→S + 3 =
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