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Question : The larger diagonal of a rhombus is 150% of its smaller diagonal, and its area is 432 cm2. Find the length (in cm) of the side of the rhombus.
Option 1: $8 \sqrt{13}$
Option 2: $4 \sqrt{13}$
Option 3: $6 \sqrt{13}$
Option 4: $2 \sqrt{13}$
Correct Answer: $6 \sqrt{13}$
Solution : Given: The larger diagonal of a rhombus is 150% of its smaller diagonal, and its area is 432 cm2. Let the length of the smaller diagonal be $x$ cm. The length of the larger diagonal = 150% of $x=\frac{3x}{2}\ \text{cm}$ We know,
Question : Directions: In the following question, the set of numbers below follows a particular pattern. Which of the numbers in the options does not follow the pattern? Numbers set – 60, 120, 210, 336, 1716
Option 1: 720
Option 2: 990
Option 3: 504
Option 4: 1310
Correct Answer: 1310
Solution : Given: 60, 120, 210, 336, 1716
Let's check the options — First option: 720→720 is a multiple of 3. Second option: 990→990 is a multiple of 3. Third option: 504→504 is a multiple of 3. Fourth option: 1310→1310 is not a multiple of 3.
So,
Question : Negative feedback in amplifiers
Option 1: increases bandwidth and decreases noise
Option 2: decreases bandwidth and decreases noise
Option 3: increases bandwidth and increases noise
Option 4: decreases bandwidth and increases noise
Correct Answer: increases bandwidth and decreases noise
Solution : The correct option is to increase bandwidth and decrease noise.
Negative feedback is an important factor in extending the bandwidth of an amplifier. Bandwidth refers to the range of frequencies within which the amplifier can function effectively. Without feedback, amplifiers
Question : Which of the following is a part of the 'Sutta Pitaka'?
Option 1: Majjhima Nikaya
Option 2: Dhammasangani
Option 3: Manusmriti
Option 4: Dipavamsa
Correct Answer: Majjhima Nikaya
Solution : The correct option is Majjhima Nikaya
The "Sutta Pitaka" is one of the three "baskets" or divisions of the Pali Canon, which is the primary scripture collection of Theravada Buddhism. It consists of discourses attributed to Gautama Buddha. Within the Sutta Pitaka, there are
Question : Directions: In the following question, select the one different from the other three alternatives.
Option 1: 2
Option 2: 3
Option 3: 12
Option 4: 24
Correct Answer: 3
Solution : Let's check the options – First option: 2; 2 is an even number. Second option: 3; 3 is an odd number. Third option: 12; 12 is an even number. Fourth option: 24; 24 is an even number.
So, the second option differs from the other
Question : After getting a discount of 8%, Rashmi bought a cycle for INR 7912. What was the original price of the cycle?
Option 1: INR 7800
Option 2: INR 8600
Option 3: INR 9200
Option 4: INR 8800
Correct Answer: INR 8600
Solution : Let the original price of the cycle be $x$. According to the question, $x×\frac{92}{100}=7912$ $\therefore x =8600$ Hence, the correct answer is INR 8600.
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.
His and her talents are _______.
Option 1: complementary
Option 2: complimentary
Option 3: complementing
Option 4: complicating
Correct Answer: complementary
Solution : The correct word to fill in the blank is the first option.
It means that two things are different, but together they enhance each other's qualities. In the sentence, if their talents are complementary, it implies that their talents are different but work well together.
Question : The ratio of the ages of two boys is 5 : 6. After two years, the ratio will be 7 : 8. Determine the ratio of their ages after 12 years.
Option 1: $\frac{22}{24}$
Option 2: $\frac{15}{16}$
Option 3: $\frac{17}{18}$
Option 4: $\frac{11}{12}$
Correct Answer: $\frac{17}{18}$
Solution : Given: The ratio of the age of two boys is 5 : 6. After two years, the ratio will be 7 : 8. Let the age of two boys be $5x$ years and $6x$ years respectively. As per conditions, we have: $\frac{5x+2}{6x+2}=\frac{7}{8}$ ⇒ $40x+16=42x+14$ ⇒
Question : Shovana Narayan is associated with which classical dance of India?
Option 1: Sattriya
Option 2: Mohiniyattam
Option 3: Kathak
Option 4: Bharatnatyam
Correct Answer: Kathak
Solution : The correct option is Kathak.
Shovana Narayan is associated with the Kathak classical dance style. She is a well-known choreographer, instructor and performer in Kathak. Based in northern India, Kathak is one of the eight main classical dance styles. Shovana Narayan received the Padma
Question : Nitrification is the biological process of converting.
Option 1: Nitrogen into nitrate
Option 2: Nitrogen into nitrite
Option 3: Ammonia into Nitrite
Option 4: Ammonia into NItrogen
Correct Answer: Ammonia into Nitrite
Solution : The correct option is Ammonia into Nitrite.
Nitrification is the biological process by which particular bacteria transform ammonia (NH3) or ammonium (NH4+) molecules into nitrite (NO2) and finally into nitrate (NO3). This mechanism
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