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Question : If $p^2-4 p-1=0$, then the value of $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$ is:
Option 1: 40
Option 2: 50
Option 3: 65
Option 4: 30
Correct Answer: 30
Solution : Given: $p^2-4 p-1=0$ ⇒ $p-\frac{1}{p}=4$ Squaring both sides, we get: $⇒(p-\frac{1}{p})^2=(4)^2$ $⇒ (p^2+\frac{1}{p^2}-2×p×\frac{1}{p})=16$ $⇒ (p^2+\frac{1}{p^2})=16+2$ $⇒ (p^2+\frac{1}{p^2})=18$ Now, $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$ $=p^2+\frac{1}{p^2}+3 p-\frac{3}{p}$ $=p^2+\frac{1}{p^2}+3(p-\frac{1}{p})$ Putting the values, we get: $=18+3×4$ $=30$ Hence, the correct answer is 30.
Question : Directions: In a certain code language INDIA is written as LQGLD then JAPAN will be written as?
Option 1: LCRCP
Option 2: MCSCQ
Option 3: MDSDQ
Option 4: LDRDP
Correct Answer: MDSDQ
Solution : Given: INDIA is written as LQGLD –
Add 3 to the place value of each letter of INDIA to obtain the required code – I + 3 = L; N + 3 = Q; D + 3 = G; I + 3 = L; A
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any errors, mark ‘No error’ as your answer. Discrimination at the basis / of gender is not / acceptable in this office.
Option 1: of gender is not
Option 2: acceptable in this office
Option 3: No error
Option 4: Discrimination at the basis
Correct Answer: Discrimination at the basis
Solution : The fourth option is the correct answer.
In the above sentence, there should be "discrimination on the basis". There should be (on) in place of at. "At" is a preposition that is used to refer to a specific time or location. "On"
Question : The following pie chart shows the percentage distribution of school expenditure. If the teacher's salary and rent together is INR 45 lakhs, then find the savings.
Option 1: INR 22,53,000
Option 2: INR 24,75,000
Option 3: INR 16,87,500
Option 4: INR 20,25,000
Correct Answer: INR 20,25,000
Solution : The total sum of the teacher's salary and rent = INR 45 lakhs $\therefore$ (15% + 25%) of school expenditure = 45,00,000 School expenditure = $\frac{100}{40}×4500000$ = 2.5 × 4500,000 = 1,12,50,000 $\therefore$ Savings = 18% of school expenditure = $\frac{18}{100}×11250000$ = 20,25,000 Hence,
Question : Directions: How many triangles are there in the given figure?
Option 1: 20
Option 2: 21
Option 3: 22
Option 4: 24
Correct Answer: 24
Solution : The given figure can be labelled as shown below –
In the above figure, there are 24 triangles. They are ABJ, AIJ, IJK, BJK, ILF, FLE, LEK, ILK, BCK, CKD, KDE, AHI, HIG, GIF, AIK, BIK, IEF, KFE, IKF, IKE, ABK, AIB, AKF, and BIE.
Question : What is speed?
Option 1: It is the distance covered by an object in a unit of time
Option 2: It is the velocity of an object per unit time
Option 3: It is the force applied on covering a unit distance
Option 4: It is the acceleration of an object per unit time
Correct Answer: It is the distance covered by an object in a unit of time
Solution : The correct option is It is the distance covered by an object in a unit of time.
Speed is the distance travelled by an object per unit of time. It quantifies how quickly
Question : Directions: If 13 L 4 A 7 = 41 and 14 A 3 L 12 = 54, then 12 L 3 A 9 = ?
Option 1: 84
Option 2: 39
Option 3: 42
Option 4: 56
Correct Answer: 39
Solution : Given: 13 L 4 A 7 = 41, and 14 A 3 L 12 = 54
Replace A and L with × and + respectively in the given equations to get the answer. Like, 13 L 4 A 7 = 41; 13 + 4 ×
Question : Which famous football club in India was established in 1920?
Option 1: Mohun Bagan AC
Option 2: East Bengal FC
Option 3: Dempo SC
Option 4: Churchill Brothers SC
Correct Answer: East Bengal FC
Solution : The correct option is East Bengal FC.
A well-known football team in India, East Bengal Football Club, was founded in 1920. With a lengthy history in Indian football, the club is based in Kolkata, West Bengal. Including the Federation Cup and the
Question : Who is credited with creating the popular raga 'Miya Ki Malhar'?
Option 1: Tansen
Option 2: Amir Khusrau
Option 3: Meerabai
Option 4: Zakir Hussain
Correct Answer: Tansen
Solution : The correct answer is Tansen.
Sangeet Samrat Mian Tansen composed this raga in the sixteenth century. A monsoon raga known as Miya Ki Malhar is often used to welcome the monsoon and invoke rain, soaking the land. Tansen composed devotional scores for his life;
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. Abu said that he saw the picture.
Option 1: He has seen the picture
Option 2: He will have seen the picture
Option 3: He would have seen the picture
Option 4: He had seen the picture
Correct Answer: He had seen the picture
Solution : The fourth option is the correct choice.
Explanation:
In this case, "he had seen the picture" suggests that Abu saw the picture before a certain point in the past, possibly before he mentioned it or before another event occurred. The past
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