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Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
Option 1: 4 : 70
Option 2: 3 : 30
Option 3: 6 : 222
Option 4: 7 : 350
Correct Answer: 4 : 70
Solution : Let's check the options – First option: 4 : 70; 70 is not divisible by 4. Second option: 3 : 30; 30 ÷ 3 = 10; 30 is divisible by 3. Third option: 6 : 222; 222 ÷ 6 = 37; 222 is
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
In 700 BCE Greek poet Hesiod (1)_____ "Theogony" and "Work and Days". In these mythologies, Atlas was a Titan (2)______ enormous strength. He, along with other titans (3)_______ the gods of Mount Olympus. While the other Titans were banished to Tartaras after being defeated by the god Zeus as retribution, Atlas (4)_______ was forced to carry the earth and the sky for an eternity. In depictions of Atlas, obviously carved by human based on myths, he is shown as a stooped figure carrying the (5)_____ on his shoulders. Because of his association with the globe, maps began to be decorated with this image of Atlas. Question: Select the most appropriate option to fill in the blank No. 5.
Option 1: universe
Option 2: globe
Option 3: seas
Option 4: heavens
Correct Answer: globe
Solution : The correct choice is the second option.
The word globe fits well in the context, as it refers to the Earth. In mythology, Atlas is often depicted as carrying the celestial spheres, representing the earth and the sky.
The use of "globe" accurately captures the
Question : Which of the following are the most important teachings of Gandhiji?
A. Truth
B. Non-Violence
C. Religion
D. Satyagraha
select the correct code:
Option 1: A and C only
Option 2: B and D only
Option 3: A and B only
Option 4: A, B and C only
Correct Answer: B and D only
Solution : The correct option is B and D only.
The term Satyagraha was coined and developed by Mahatma Gandhi; it means holding firmly to truth. Satyagraha and non-violence were the two main features of Gandhi's movement. Following his return from South Africa, Gandhiji
Question : Directions: Seven brothers P, Q, R, S, T, U, and V were born in different years. S is younger than only 2 other brothers and neither of them is U, P is older than R but younger than U and S. R is not the youngest. U is younger than Q who is younger than T. Who is the youngest?
Option 1: T
Option 2: P
Option 3: Q
Option 4: V
Correct Answer: V
Solution : Given: (I) Seven brothers P, Q, R, S, T, U, and V were born in different years. S is younger than only 2 other brothers and neither of them is U, P is older than R but younger than U and S. _ > _
Question : At least two pairs of consecutive angles are supplementary in a _____.
Option 1: parallelogram
Option 2: isosceles trapezium
Option 3: none of these
Option 4: kite
Correct Answer: parallelogram
Solution : The sum of any two consecutive angles of a parallelogram is equal to 180°. (supplementary) Hence, the correct answer is 'parallelogram'.
Question : A man and a woman can finish a work together in half the time taken by a woman and a boy together. A boy can finish the work alone in 20 days and 2 women together can finish it in 30 days. In how many days will the work be finished by 4 men?
Option 1: 2
Option 2: 2.14
Option 3: 2.5
Option 4: 3
Correct Answer: 2.14
Solution : Given: Time taken by a man and a woman = $\frac{1}{2}$ (Time taken by a woman and a boy) Time taken by a boy to complete the work = 20 days Time taken by 2 women to complete the work = 30 days Time taken
Question : Directions: When a number is added to its next number and another number that is four times its next number, the sum of these three numbers is 95. Find the number.
Option 1: 16
Option 2: 14
Option 3: 17
Option 4: 15
Correct Answer: 15
Solution : Let, the number be x According to the question – x + (x + 1) + 4(x + 1) = 95 By solving the above equation – 6x + 5 = 95 6x = 95 – 5 6x = 90 x = 90 ÷ 6
Question : Which of the following pair of "player–sports" is correct? I. Lovlina Borgohain – Boxing II. Nikhat Zareen – Wrestling
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only II
Option 4: Only I
Correct Answer: Only I
Solution : The correct answer is Only I.
I. Lovlina Borgohain – Boxing:
Lovlina Borgohain is an Indian boxer who has gained recognition for her achievements in the sport of boxing. She hails from Assam, India and has represented the country in various international boxing
Question : If 40% of $\frac{4}{5}$ of $\frac{3}{4}$of a number is 48, then what is 1% of the same number?
Option 1: 20
Option 2: 2
Option 3: 10
Option 4: 1
Correct Answer: 2
Solution : Let the number be $x$. According to the question, 40% of $\frac{4}{5}$ of $\frac{3}{4}$ of $x$ = 48 ⇒ $x=48\times \frac{100}{40}\times\frac{5}{4} \times \frac{4}{3}$ ⇒ $x = 200$ So, 1% of 200 = 2 Hence, the correct answer is 2.
Question : If $x=1+\sqrt2+\sqrt3$, then find the value of $x^{2}-2x+4$.
Option 1: $2(7+\sqrt6)$
Option 2: $2(4+\sqrt6)$
Option 3: $2(3+\sqrt7)$
Option 4: $(4+\sqrt6)$
Correct Answer: $2(4+\sqrt6)$
Solution : $x=1+\sqrt{2}+\sqrt{3}$ ⇒ $x-1=\sqrt{2}+\sqrt{3}$ Squaring both sides ⇒ $(x-1)^2=(\sqrt{2}+\sqrt{3})^2$ ⇒ $(x^2+1-2x)=(2+3+2\sqrt{6})$ ⇒ $(x^2+1-2x)=(5+2\sqrt{6})$ adding 3 to both sides, we get, ⇒ $(x^2+1-2x)+3=(5+2\sqrt{6})+3$ ⇒ $(x^2+4-2x)=(8+2\sqrt{6})$ $\therefore (x^2+4-2x)=2(4+\sqrt{6})$ Hence, the correct answer is $2(4+\sqrt{6})$.
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