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Question : Directions: Three of the following number pairs are alike in some manner and one is different. Select the odd number pair. (NOTE: The second number in the given number pairs is formed by performing a certain operation on the first number. The same operation is followed in all the number pairs except one. Find that odd number pair.)
Option 1: 55 : 10
Option 2: 80 : 13
Option 3: 20 : 3
Option 4: 95 : 18
Correct Answer: 80 : 13
Solution : Let's check the options – First option: 55 : 10; 55 – 5 = 50; 50 ÷ 5 = 10 Second option: 80 : 13; 80 – 5 = 75; 75 ÷ 5 = 15 ≠ 13 Third option: 20 : 3; 20
Question : Find the least value of p so that 246p48 is divisible by 8.
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 0
Correct Answer: 0
Solution : Given: The number is 246p48. Taking the last 3 digits = p48 For the least value of p, putting p = 0, the number 048 is divisible by 8. $\therefore$ 246048 is also divisible by 8. Hence, the correct answer is 0.
Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 8 : 448 :: 9 : ? :: 11 : 847
Option 1: 576
Option 2: 577
Option 3: 567
Option 4: 562
Correct Answer: 567
Solution : Given: 8 : 448 :: 9 : ? :: 11 : 847
Seven times the square of the first number equals the second number. Like, 8 : 448→8² × 7 = 64 × 7 = 448 And, 11 : 847→11² × 7 = 121 ×
Question : Which of the following articles of the Indian Constitution directs the state to provide for a 'Uniform Civil Code'?
Option 1: Article 45
Option 2: Article 43
Option 3: Article 44
Option 4: Article 42
Correct Answer: Article 44
Solution : The correct option is Article 44.
The Indian Constitution, in Part 4, Article 44, makes explicit reference to the "Uniform Civil Code." "The state shall endeavour to secure for the citizens a uniform civil code throughout the territory of India," states Article 44.
Question : 'Luddi' is a folk dance originating from which of the following states in India?
Option 1: Manipur
Option 2: Punjab
Option 3: Madhya Pradesh
Option 4: Kerala
Correct Answer: Punjab
Solution : The correct answer is Punjab.
Luddi is an Indian traditional dance from the state of Punjab. It is a popular kind of dance done by both men and women. Luddi is a joyful dance that is frequently seen at weddings and festivals. The dance is
Question : The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference between the two numbers is:
Option 1: 7
Option 2: 6
Option 3: 5
Option 4: 8
Correct Answer: 5
Solution : Let the numbers be $a$ and $b$ where $a > b$. According to the question, $a^3+b^3=793$ and $a+b=13$ So, $(a+b)^3=a^3+b^3+3ab(a+b)$ ⇒ $13^3=793+3ab×13$ ⇒ $39ab=2197-793$ ⇒ $ab=\frac{1404}{39}$ $\therefore ab=36$ Now, $(a-b)^2=(a+b)^2-4ab$ ⇒ $(a-b)^2=13^2-4×36=169-144=25$ $\therefore (a-b)=\sqrt{25}=5$ Hence, the correct answer is $5$.
Question : Who among the following was the founder of the Shunga dynasty, who established his kingdom by killing the last Mauryan emperor?
Option 1: Devabhuti
Option 2: Pushyamitra
Option 3: Bhagabhadra
Option 4: Agnimitra
Correct Answer: Pushyamitra
Solution : The correct answer is Pushyamitra.
Pushyamitra founded the Shunga dynasty by killing the last Mauryan king. Shunga was the army chief of Brihadratha, the last king of the Mauryas, who killed the emperor and established himself on the throne in 185 or 186 BC. His
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (46, 93, 187) (123, 247, 495)
Option 1: (208, 418, 837)
Option 2: (313, 627, 1255)
Option 3: (111, 213, 427)
Option 4: (184, 369, 729)
Correct Answer: (313, 627, 1255)
Solution : Given: (46, 93, 187); (123, 247, 495)
Here, (46, 93, 187)→(46 × 2) + 1 = 92 + 1 = 93; (93 × 2) + 1 = 186 + 1 = 187 (123, 247, 495)→(123 × 2) + 1 = 246 + 1
Question : Directions: The following pie chart shows the study time of different subjects of a student in a day. Study the pie chart and answer the following question.
If a student studies 10 hours a day, then he studies maths for?
Option 1: $3\ \text{hours}$
Option 2: $\frac{10}{3}\ \text{hours}$
Option 3: $\frac{1}{3}\ \text{hours}$
Option 4: $\frac{3}{10}\ \text{hours}$
Correct Answer: $3\ \text{hours}$
Solution : A student studies 10 hours a day. He studies math for $=\frac{30}{100}×10=3$ hours Hence, the correct answer is 3 hours.
Question : Directions: In a class of 120 students, 100 students participate in either Golf or Skating, or both. Among them, a total of 60 students participate in Golf. A total of 56 students participate in Skating. How many students participate only in Skating?
Option 1: 40
Option 2: 16
Option 3: 44
Option 4: 36
Correct Answer: 40
Solution : In the Venn diagram representation, the G circle shows the number of players playing golf, and the S circle shows the number of players playing skating. The common area shows the players playing both games. The outside area shows players playing neither of the games.
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