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Question : The "king of metal" is:
Option 1: gold
Option 2: silver
Option 3: iron
Option 4: aluminium
Correct Answer: gold
Solution : The correct option is gold.
Gold holds the distinguished title of being called the " king of metals" due to its exceptional rarity and consequent high value. Its scarcity makes it one of the most expensive metals to acquire. Beyond its monetary worth, gold stands
Question : In $\triangle$ABC the height CD intersects AB at D. The mid-points of AB and BC are P and Q, respectively. If AD = 8 cm and CD = 6 cm then the length of PQ is:
Option 1: 3 cm
Option 2: 7 cm
Option 3: 9 cm
Option 4: 5 cm
Correct Answer: 5 cm
Solution : Given: AD = 8 cm and CD = 6 cm $\angle$CDA = 90° So, from Pythagoras theorem we get, AC2 = AD2 + CD2 ⇒ AC = $\sqrt{8^2+6^2}$ ∴ AC = 10 cm The straight line joining the midpoints of two
Question : The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19, respectively, instead of 14 and 15. Find the new actual average marks of the class.
Option 1: 17.43
Option 2: 16.56
Option 3: 18.68
Option 4: 17.65
Correct Answer: 18.68
Solution : Total marks of 25 students with wrong number = 25 × 19 = 475 After correction = 475 – 18 – 19 + 14 +15 = 467 Average = $\frac{\text{Sum of elements}}{\text{Number of elemcents}}$ = $\frac{467}{25}$ = 18.68 Hence, the correct answer is 18.68.
Question : Myanmar doesn't share its boundary with which of the following states?
Option 1: Nagaland
Option 2: Manipur
Option 3: Sikkim
Option 4: Mizoram
Correct Answer: Sikkim
Solution : The correct option is Sikkim.
Sikkim shares its international boundary with Nepal and Bhutan, not with Myanmar. The Indian states sharing their boundaries with Myanmar are Arunachal Pradesh, Nagaland, Manipur, and Mizoram. These four northeastern states of India share a boundary with Myanmar.
Question : Choose the word that can substitute for the given group of words. A person who is interested in material gains and is hostile to art or culture.
Option 1: Perfectionist
Option 2: Sage
Option 3: Philistine
Option 4: Egghead
Correct Answer: Philistine
Solution : The correct choice is the third option.
The term "philistine" refers to a person who is hostile or indifferent to culture and the arts, often focusing on material or practical concerns. In the context given, someone interested in material gains and hostile to art or
Question : An alloy contains copper, zinc, and nickel in the ratio of 3 : 2 : 5 respectively. What quantity of nickel (in kg) must be added to 100 kg of this alloy to have the new ratio of copper, zinc, and nickel 3 : 2 : 6 respectively?
Option 1: 20 kg
Option 2: 10 kg
Option 3: 8 kg
Option 4: 15 kg
Correct Answer: 10 kg
Solution : Given: An alloy contains copper, zinc, and nickel in the ratio of 3 : 2 : 5 respectively. Let the weights of the alloy be $3x$, $2x$, and $5x$ for copper, zinc, and nickel in 100 kg. The alloy's initial weight of 100 kg.
Question : Find the fourth proportional to the numbers 24,192, and 27.
Option 1: 216
Option 2: 108
Option 3: 162
Option 4: 170.67
Correct Answer: 216
Solution : Fourth proportional to the numbers 24,192, and 27 = $\frac{192×27}{24}$ = 216 Hence, the correct answer is 216.
Question : The value of $(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90})$ is:
Option 1: $\frac{1}{10}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{3}{20}$
Option 4: $\frac{7}{20}$
Correct Answer: $\frac{3}{20}$
Solution : $=\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}$ $=(\frac{1}{20}+\frac{1}{30})+(\frac{1}{42}+\frac{1}{56})+(\frac{1}{72}+\frac{1}{90})$ $=(\frac{3+2}{60})+( \frac{4+3}{168})+( \frac{5+4}{360})$ $=(\frac{1}{12})+( \frac{1}{24})+( \frac{1}{40})$ $=\frac{10+5+3}{120}$ $=\frac{18}{120}$ $=\frac{3}{20}$ Hence, the correct answer is $\frac{3}{20}$.
Question : Directions: A + B means A is the father of B, A – B means A is the mother of B, A % B means A is the brother of B, and A # B means A is the daughter of B. If P + Q % R % S # T – U, then how is Q related to U?
Option 1: Brother
Option 2: Brother-in-law
Option 3: Father
Option 4: Son
Correct Answer: Brother
Solution : Given: A + B means A is the father of B. A – B means A is the mother of B. A % B means A is the brother of B. A # B means A is the daughter of B.
First draw the family
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. REG : SDH :: UFC : ?
Option 1: VMD
Option 2: VED
Option 3: VEF
Option 4: DEV
Correct Answer: VED
Solution : Given: REG : SDH :: UFC : ?
Like, REG : SDH→ R(18) + 1 = S(19), E(5) – 1 = D(4), G(7) + 1 = H(8) Similarly, for UFC : ?→ U(21) + 1 = V(22), F(6) – 1 = E(5), C(3) + 1
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