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Question : Direction: A mother is five times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.
Option 1: 20 years
Option 2: 22 years
Option 3: 25 years
Option 4: 29 years
Correct Answer: 25 years
Solution : Let the present age of the daughter be x years.
So, the present age of the mother is 5x years.
After 5 years, she would be 3 times older than her daughter. The following equation is formed.
5x + 5 = 3 (x +
Question : If $x+\frac{1}{x}=\mathrm{\frac{K}{2}}$, then what is the value of $\frac{x^8+1}{x^4} ?$
Option 1: $\frac{\mathrm{K}^4-16 \mathrm{~K}^2+32}{16}$
Option 2: $\frac{\mathrm{K}^4-8 \mathrm{~K}^2-36}{32}$
Option 3: $\frac{\mathrm{K}^4-8 \mathrm{~K}^2-32}{16}$
Option 4: $\frac{\mathrm{K}^4-8 \mathrm{~K}^2+32}{16}$
Correct Answer: $\frac{\mathrm{K}^4-16 \mathrm{~K}^2+32}{16}$
Solution : $x + \frac{1}{x} = \frac{K}{2}$ $⇒\left(x + \frac{1}{x}\right)^2 = \mathrm{\left(\frac{K}{2}\right)^2}$ $⇒x^2 + 2 + \frac{1}{x^2} = \mathrm{\frac{K^2}{4}}$ $⇒x^2 + \frac{1}{x^2} =\mathrm{ \frac{K^2}{4} - 2}$ Now, square this equation: $⇒\left(x^2 + \frac{1}{x^2}\right)^2 = \mathrm{\left(\frac{K^2}{4} - 2\right)^2}$ $⇒x^4 + 2 + \frac{1}{x^4} = \mathrm{\left(\frac{K^2}{4} - 2\right)^2}$
Question : Directions: If K ÷ L means that K is the mother of L, K – L means that K is the father of L, and K × L means that K is the sister of L, then which of the following expressions shows that P is the paternal grandmother of R?
Option 1: P ÷ Q × R
Option 2: R – Q ÷ P
Option 3: P ÷ Q – R
Option 4: Q ÷ P – R
Correct Answer: P ÷ Q – R
Solution : Let's check the given options – First option: P ÷ Q × R As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Globalisation is not a new (1)_______. Traders travelled vast distances in ancient times to buy commodities that were (2) ______and expensive for sale in their homelands. The Industrial Revolution brought (3)_________ in transportation and communication in the 19th century that eased trade across borders. The think tank, Peterson Institute for International Economics (PIIE), states globalisation (4)________after World War I and nations moved toward (5)________ as they launched import taxes to more closely guard their industries in the aftermath of the conflict.
Select the most appropriate option to fill in the blank number 2.
Option 1: plentiful
Option 2: common
Option 3: preserved
Option 4: rare
Correct Answer: rare
Solution : The correct choice is the fourth option.
The sentence talks about traders travelling long distances to buy commodities that were not easily available or common in their homelands. The word rare fits in this context, indicating that the commodities were not commonly found or abundant
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. HERO : JGPM :: FLOW : HNMU :: DIAL : ?
Option 1: KYFJ
Option 2: JFYK
Option 3: FLIJ
Option 4: FKYJ
Correct Answer: FKYJ
Solution : Given: HERO : JGPM :: FLOW : HNMU :: DIAL : ?
Add 2 to the place value of the first and second letters and subtract 2 from the place value of the third and fourth letters of HERO, and FLOW to get their required
Question : Which of the following is not a freshwater lake in India?
Option 1: Pulicat
Option 2: Loktak
Option 3: Bhimtal
Option 4: Nainital
Correct Answer: Pulicat
Solution : The correct option is Pulicat.
Pulicat Lake, also known as Pulicat Lagoon, is the second-largest brackish water lagoon in India. It is located on the border of the Indian states of Andhra Pradesh and Tamil Nadu, along the Coromandel Coast of the Bay of
Question : 9 boys and 12 men can complete a work in 24 days. Each boy takes thrice the time taken by a man to complete the work. In how many days will 15 men complete the same work?
Option 1: 26 days
Option 2: 30 days
Option 3: 24 days
Option 4: 22 days
Correct Answer: 24 days
Solution : (9 boys + 12 men) complete the work in 24 days. The ratio of time taken by a boy and time taken by a man = 3 : 1 i.e., 3 boys are equivalent to 1 man. $\therefore$ 9 boys are equivalent to 3
Question : Directions: Anuj, Bala, Charanjit, Danish, Endrew, Farooq, Garvit, and Himesh are sitting around a square table facing the centre of the table. Four of them are sitting at each of the corners, while the other four are sitting at the exact centre of each of the sides. Endrew who sits middle of a side, sits to the fourth left of the Garvit. Only one person sits between Garvit and Farooq. Bala is an immediate neighbour of Endrew Only three people sit between Bala and Anuj. Bala is not a neighbour of Farooq. Himesh sits to the immediate left of Charanjit. Charanjit sits to the third right of Endrew. Who sits third to the right of Danish?
Option 1: Himesh
Option 2: Garvit
Option 3: Bala
Option 4: Charanjit
Correct Answer: Himesh
Solution : Given: (I) Anuj, Bala, Charanjit, Danish, Endrew, Farooq, Garvit, and Himesh are sitting around a square table facing the centre of the table. Four of them are sitting at each of the corners, while the other four are sitting at the exact centre of each
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. MCHQ, LYGM, KUFI, ?, IMDA
Option 1: JQFE
Option 2: JRFF
Option 3: JQEE
Option 4: JREF
Correct Answer: JQEE
Solution : Given: MCHQ, LYGM, KUFI, ?, IMDA
In the above-given series, subtract 1 from the place values of the first and third letters and subtract 4 from the place values of the second and fourth letters of the previous term to obtain the next term. MCHQ→M
Question : Which of the following contains the highest amount of Vitamin C?
Option 1: Capsicum
Option 2: Tomato
Option 3: Grape
Option 4: Lemon
Correct Answer: Lemon
Solution : The correct option is Lemon.
Many fruits contain vitamin C, with citrus fruits being the most well-known source. Vitamin C is particularly abundant in oranges, grapefruits, lemons, and limes. It is essential for collagen production, wound healing, immune system support, and non-heme iron absorption from
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