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Question : Directions: If the 16th of June 2001 is Saturday, then what will be the day of the week on the 21st of June 2009?
Option 1: Saturday
Option 2: Monday
Option 3: Sunday
Option 4: Friday
Correct Answer: Sunday
Solution : Given: The 16th of June 2001 is Saturday.
Calculate the days between 17th of June 2001, and 21st of June 2009. From 17th of June 2001 to 16th of June 2009 ⇒ (8 × 365) + 2 = 2922 (2 days are added as there
Question : The value of $ \frac{(p-q)^3+(q-r)^3+(r-p)^3}{12(p-q)(q-r)(r-p)}$, where $p \neq q \neq r$, is equal to:
Option 1: $\frac{1}{9}$
Option 2: $\frac{1}{3}$
Option 3: $\frac{1}{4}$
Option 4: $\frac{1}{2}$
Correct Answer: $\frac{1}{4}$
Solution : $\frac{(p-q)^3+(q-r)^3+(r-p)^3}{12(p-q)(q-r)(r-p)}$ We know that $a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)$ Let $a=p-q$, $b=q-r$ and $c=r-p$ We observe that $a+b+c=p-q+q-r+-p=0$ So, $a^3+b^3+c^3-3abc=0$ or, $a^3+b^3+c^3=3abc$ or, $(p-q)^3+(q-r)^3+(r-p)^3=3(p-q)(q-r)(r-p)$ So, $\frac{(p-q)^3+(q-r)^3+(r-p)^3}{12(p-q)(q-r)(r-p)}= \frac{3(p-q)(q-r)(r-p)}{12(p-q)(q-r)(r-p)}$ = $\frac{1}{4}$ Hence, the correct answer is $\frac{1}{4}$.
Question : Lata Mangeshkar recorded her first playback song for a ___________ film.
Option 1: Bengali
Option 2: Punjabi
Option 3: Marathi
Option 4: Tamil
Correct Answer: Marathi
Solution : The correct option is Marathi.
Lata Mangeshkar recorded her first playback song for the Marathi film "Kiti Hasaal" in 1942. This marked the beginning of an illustrious career spanning decades, during which she became one of the most celebrated playback singers in the Indian
Question : Z1 and Z2 together complete a work in 15 days. Z2 alone can complete the same work in 30 days. They took Rs. 2,000 to complete the work together. What will be the share of Z1?
Option 1: Rs. 1,500
Option 2: Rs. 2,000
Option 3: Rs. 1,000
Option 4: Rs. 500
Correct Answer: Rs. 1,000
Solution : Given: Z1 and Z2 together complete a work in 15 days. Their 1 day's work = $\frac{1}{15}$ Z2 alone can complete the same work in 30 days. Z2's 1 day's work = $\frac{1}{30}$ $\therefore$ Z1's 1 day's work = $\frac{1}{15}-\frac{1}{30}=\frac{1}{30}$ So, Z1 alone can
Question : Select the most appropriate one-word substitution for the given group of words. A large bedroom for a number of people in an institution
Option 1: auditorium
Option 2: apartment
Option 3: dormitory
Option 4: chamber
Correct Answer: dormitory
Solution : The correct choice is the third option.
Explanation: A dormitory is a large bedroom-like space specifically designed in institutions such as schools, colleges, or hostels to accommodate multiple people, usually students. It's a communal sleeping area where individuals have their own beds or sleeping spaces
Question : Direction: Study the pie chart and answer the question. Details of % of employees working in various departments and number of males among them. Total number of employees = 800 The % of females working in the IT department to the total number of employees working in the organization.
Option 1: 10.25%
Option 2: 10.75%
Option 3: 15.25%
Option 4: 15.75%
Correct Answer: 10.75%
Solution : Number of employees in IT department = $\frac{20}{100} \times 800$ = 160 Number of male employees in the IT department = 74 Number of females = 160 – 74 = 86 ∴ Required percentage = $\frac{86}{800} \times 100$ = 10.75% Hence, the correct answer is
Question : Directions: In the following question, select the related number from the given alternatives. 102 : 10404 :: 107 : ?
Option 1: 11449
Option 2: 11649
Option 3: 11049
Option 4: 12449
Correct Answer: 11449
Solution : Given: 102 : 10404 :: 107 : ?
The second number equals the square of the first number of the given pair. Like, 102 : 10404→(102)2 = 10404 Similarly, 107 : ?→(107)2 = 11449
Hence, the first option is correct.
Question : The price of the table depreciates every year by 20%. If the value of the table after 2 years will be Rs. 32,000, then what is the present price (in Rs.) of the table?
Option 1: 48,000
Option 2: 44,000
Option 3: 50,000
Option 4: 51,000
Correct Answer: 50,000
Solution : Let the present value be $x$. Value after 2 years = $x × (1-\frac{R}{100})^2$, where $R$ is the rate. $32000 = x × (1-\frac{20}{100})^2$ ⇒ $32000 = x × (\frac{4}{5})^2$ ⇒ $32000 = x × (0.8)^2$ ⇒ $x = \frac{32000}{0.64}$ $\therefore x= 50,000$ Present value
Question : Who received the Nobel Prize in Literature 2022?
Option 1: Peter Handke
Option 2: Olga Tokarczuk
Option 3: Abdulrazak Gurnah
Option 4: Annie Ernaux
Correct Answer: Annie Ernaux
Solution : The correct answer is Annie Ernaux.
Annie Ernaux received the Nobel Prize in Literature in 2022. She is a French author, “A Man’s Place” is the book which made her name and it is about her relationship with her father. Nobel prizes were first
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: 35
Option 2: 64
Option 3: 28
Option 4: 84
Correct Answer: 64
Solution : Let's check each option –
First option: 35→35 ÷ 7 = 5 (35 is divisible by 7) Second option: 64→64 ÷ 7 = 9.14 (64 is not divisible by 7) Third option: 28→28 ÷ 7 = 4 (28 is divisible by 7) Fourth option: 84→84
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