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Question : Simplify the given expression.
$\frac{(3.254 \times 3.254 \times 3.254)-(0.746 \times 0.746 \times 0.746)}{(3.254 \times 3.254)+(0.746 \times 0.746)+(3.254 \times 0.746)}$
Option 1: 3.156
Option 2: 4.508
Option 3: 2.146
Option 4: 2.508
Correct Answer: 2.508
Solution : Given: $\frac{(3.254 \times 3.254 \times 3.254)-(0.746 \times 0.746 \times 0.746)}{(3.254 \times 3.254)+(0.746 \times 0.746)+(3.254 \times 0.746)}$ Let $a=3.254$ and $b=0.746$ = $\frac{a^3-b^3}{a^2+b^2+ab}$ = $\frac{(a-b)(a^2+b^2+ab)}{a^2+b^2+ab}$ = $a-b$ Putting the values, we get: = 3.254 – 0.746 = 2.508 Hence, the correct answer is 2.508.
Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
Option 1: 19
Option 2: 17
Option 3: 15
Option 4: 20
Correct Answer: 19
Solution : Given:
The pattern is running vertically down in the columns. Column 2: 6 + 5 + 8 = 19 Column 3: 3 + 2 + 7 = 12 Column 1: 4 + 9
Question : Match the columns.
Option 1: i-a, ii-b, iii-c, iv-d
Option 2: i-b, ii-a, iii-c, iv-d
Option 3: i-d, ii-c, iii-b, iv-a
Option 4: i-a, ii-c, iii-b, iv-d
Correct Answer: i-d, ii-c, iii-b, iv-a
Solution : The correct answer is i-d, ii-c, iii-b, iv-a.
Question : A sum, when invested for 2 years at the rate of 10% per annum at simple interest, amounts to INR 4,800 on maturity. What is the sum invested?
Option 1: INR 3,600
Option 2: INR 4,000
Option 3: INR 3,500
Option 4: INR 4,200
Correct Answer: INR 4,000
Solution : Amount = INR 4800 Time = 2 years Rate = 10% We know that, Simple interest = amount – principal Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ So, $4800-\text{P}=\frac{\text{P × 10 × 2}}{100}$ [Let the principle be $\text{P}$] ⇒ $24000-\text{5P}=\text{P}$ ⇒ $24000=\text{6P}$ ⇒
Question : Directions: In the following question, a sentence is given with a blank to be filled in with appropriate words. Four alternatives are suggested for each question. Choose the correct alternative out of the four as your answer.
We all have ______ the widowed girl.
Option 1: Sympathy at
Option 2: Sympathy for
Option 3: Sympathy with
Option 4: Sympathy of
Correct Answer: Sympathy for
Solution : The second option is the correct answer: "sympathy for."
The appropriate preposition to use with "sympathy" is "for."
"Sympathy at" is not a common phrase in English.
"Sympathy with" can be used in some contexts, but it doesn't fit well in this sentence.
"Sympathy
Question : Parts of a sentence are given below in jumbled order. Select the option that arranges the parts in the correct order to form a meaningful sentence. A. although many scholars believe that B. no records of such a commission from Francesco exist, C. the painting depicts Lisa Gherardini, wife of the Florentine merchant Francesco del Giocondo, D. and the sitter has never been conclusively identified
Option 1: DCBA
Option 2: CABD
Option 3: BDAC
Option 4: ACBD
Correct Answer: ACBD
Solution : The correct order to form a meaningful sentence is ACBD.
Explanation:
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right image of the given question figure
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the
Question : Which number among 24963, 24973, 24983, and 24993 is divisible by 7?
Option 1: 24973
Option 2: 24983
Option 3: 24963
Option 4: 24993
Correct Answer: 24983
Solution : Given numbers: 24963, 24973, 24983, and 24993. We know, a number is divisible by 7 if the difference between twice the unit digit of the number and the remaining part of the number is 0 or a multiple of 7. Here, for 24983 ⇒ (2498
Question : Who among the following teamed up with flautist Hariprasad Chaurasia and guitarist Brij Bhushan Kabra and produced a concept album, "Call of the Valley" (1967)?
Option 1: Tarun Bhattacharya
Option 2: Bhajan Sopori
Option 3: Shivkumar Sharma
Option 4: Satish Vyas
Correct Answer: Shivkumar Sharma
Solution : The correct option is Shivkumar Sharma.
The album "Call of the Valley" (1967) was a collaboration between Santoor player Pandit Shivkumar Sharma, flautist Hariprasad Chaurasia, and guitarist Brij Bhushan Kabra.
Question : A bullock cart has to cover a distance of 120 km in 15 hours. If it covers half of the journey in $\frac{3}{5}$th time, the speed to cover the remaining distance in the time left has to be:
Option 1: 6.4 km/hr
Option 2: 6.67 km/hr
Option 3: 10 km/hr
Option 4: 15 km/hr
Correct Answer: 10 km/hr
Solution : A bullock cart has to cover a distance of 120 km in 15 hours. It covers half of the journey in $\frac{3}{5}$th time. So, remaining time = $\frac{2}{5}$ × 15 = 6 hr Remaining distance = $\frac{120}{2}$ = 60 km $\therefore$ Required speed =
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