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Question : The ratio of two numbers is 4 : 5. If both numbers are increased by 4 the ratio becomes 5 : 6. What is the sum of the two numbers?
Option 1: 9
Option 2: 18
Option 3: 27
Option 4: 36
Correct Answer: 36
Solution : Let the numbers be $4x$ and $5x$. According to the question, $\frac{4x+4}{5x+4}=\frac{5}{6}$ $⇒24x+24=25x+20$ $⇒x=4$ Thus, the numbers are 16 and 20. So, the sum of the numbers = 16 + 20 = 36 Hence, the correct answer is 36.
Question : Directions: Select the letter cluster from among the given options that can replace the question mark (?) in the following series. AKRW, DNUZ, GQXC, (?)
Option 1: CZWR
Option 2: ISZE
Option 3: TJAA
Option 4: JTAF
Correct Answer: JTAF
Solution : Given: AKRW, DNUZ, GQXC, (?)
In the above-given series, add 3 to each letter to obtain the next letter cluster. AKRW→A + 3 = D; K + 3 = N; R + 3 = U; W + 3 = Z DNUZ→D + 3 = G;
Question : Directions: Select the option related to the sixth number in the same way as the first number is related to the second number and the third number is related to the fourth number. 22 : 484 :: 23 : 529 :: ? : 729
Option 1: 31
Option 2: 29
Option 4: 26
Correct Answer: 27
Solution : Given: 22 : 484 :: 23 : 529 :: ? : 729
The second number is the square of the first number in each number pair – Like, 22 : 484→222 = 484 And, 23 : 529→232 = 529 Similarly, follow the same
Question : Direction: In the following question, find the odd number pair from the given alternatives.
Option 1: 8 – 36
Option 2: 16 – 64
Option 3: 36 – 216
Option 4: 25 – 125
Correct Answer: 8 – 36
Solution : On determining the square and cube, we will get:
First option: 8 – 36 '8' is not the square of any number. '36' is also not the cube of any number. Hence '8 – 36' is the odd one out.
Second option: 16
Question : Which Act was passed in 1929 prohibiting marriage of girls below 14 and boys below 18 years of age?
Option 1: Pitt's India Act
Option 2: Sarda Act
Option 3: Vernacular Press Act
Option 4: Rowlett Act
Correct Answer: Sarda Act
Solution : The correct option is the Sarda Act.
On September 28, 1929, the Child Marriage Restriction Act, often known as the Sarda Act, was passed into law. The law set the marriageable age at 14 for girls and 18 for guys. The goal is to
Question : A metal plate with a circular hole at the centre is heated. What will happen to the area of the hole?
Option 1: Increases
Option 2: Decreases
Option 3: Remain constant
Option 4: Will increase first then decrease
Correct Answer: Increases
Solution : The correct option is to increase.
The round hole in the centre of a metal plate enlarges when the plate is heated. The following causes account for this: The molecules along the rim of the hole and all the other component molecules vibrate more
Question : Choose the correct meaning of the underlined word in the given sentence.
The government is planning a new policy to help the immigrants coming from the neighbouring country.
Option 1: Someone who leaves one country to settle in another.
Option 2: Someone who goes to visit a new country for a short time.
Option 3: Someone who travels for work.
Option 4: Someone who travels to space.
Correct Answer: Someone who leaves one country to settle in another.
Solution : The correct choice is the first option.
The word immigrants refers to individuals or groups of people who leave their home country to settle in another nation, often seeking better opportunities, safety, or improved living
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 ×
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