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Question : If the LCM of two numbers 260 and 390 is 780, then find the HCF.
Option 1: 140
Option 2: 133
Option 3: 130
Option 4: 120
Correct Answer: 130
Solution : Given numbers = 260 and 390 LCM = 780 We know, Multiplication of two numbers = HCF × LCM ⇒ 260 × 390 = 780 × HCF ⇒ HCF = 130 Hence, the correct answer is 130.
Question : Which of the following states has a bicameral Legislature as of March 2022?
Option 1: Odisha
Option 2: Gujarat
Option 3: Karnataka
Option 4: Kerala
Correct Answer: Karnataka
Solution : The correct answer is Karnataka.
The upper house of the Karnataka state legislature is called the Karnataka Legislative Council, formerly known as the Mysore Legislative Council.
The lower house of the bicameral legislature in India is called the Legislative Assembly, and Karnataka is one
Question : If $x=p+\frac{1}{p}$ and $y=p-\frac{1}{p}$, then the value of $x^{4}-2x^{2}y^{2}+y^{4}$ is:
Option 1: 24
Option 2: 4
Option 3: 16
Option 4: 8
Correct Answer: 16
Solution : $x = p+\frac{1}{p}$ $y = p-\frac{1}{p}$ Now, $x^{4}-2x^{2}y^{2}+y^{4}$ = $(x^{2}-y^{2})^{2}$ = $((x+y)(x-y))^{2}$ = $[(p+\frac{1}{p}+p-\frac{1}{p})(p+\frac{1}{p}-(p-\frac{1}{p})]^{2}$ = $[2×p×2×\frac{1}{p}]^{2}$ = 16 Hence, the correct answer is 16.
Question : The average weight of three men A, B, and C is 84 kg. Another man, D joins the group and the average now becomes 80 kg. If another man, E whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D, and E becomes 79 kg. Then the weight of A is:
Option 1: 72 kg
Option 2: 74 kg
Option 3: 75 kg
Option 4: 76 kg
Correct Answer: 75 kg
Solution : The average weight of three men A, B, and C is 84 kg. $\therefore$ The total weight of A, B, and C = 84 × 3 = 252 kg Now, D joins the group and the average now becomes 80 kg. $\therefore$ Weight of
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (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.) (16, 32, 54) (29, 58, 80)
Option 1: (17, 35, 59)
Option 2: (25, 50, 62)
Option 3: (24, 48, 70)
Option 4: (23, 46, 62)
Correct Answer: (24, 48, 70)
Solution : Given: (16, 32, 54); (29, 58, 80)
In the given sets, multiply the first number by 2 to get the second number and then add 22 to the second number to obtain the third number. (16, 32, 54)→16 × 2 = 32; 32
Question : A wire is in the form of a square with a side of 11 cm. It is bent to form a circle. What is the radius of the circle?
Option 1: 11 cm
Option 2: 5 cm
Option 3: 9 cm
Option 4: 7 cm
Correct Answer: 7 cm
Solution : Side of square = 11 cm Perimeter of square = 4 × side Perimeter of square = 4 × 11 = 44 cm Circumference of circle = 2π$r$ where $r$ is the radius of the circle. The perimeter of the square = Circumference of
Question : The below bar graph shows the marks obtained by a student in an examination. What is the average mark obtained by the student?
Option 1: 50
Option 2: 60
Option 3: 80
Option 4: 30
Correct Answer: 60
Solution : Average marks $=\frac{\text{Sum of marks in all subjects}}{\text{Number of subjects}} = \frac{70+60+40+50+80}{5} = 60$ Hence, the correct answer is 60.
Question :
Directions: In the following question, select the related word from the given alternatives. Mass : Kilogram :: Volume : ?
Option 1: Joule
Option 2: Litre
Option 3: Degree
Option 4: Volt
Correct Answer: Litre
Solution : Given: Mass : Kilogram :: Volume : ?
The unit of mass is kilogram. Similarly, the unit of volume is litre.
Hence, the second option is correct.
Question : The 'Slack Season' in the Indian economy is
Option 1: March-April
Option 2: September-December
Option 3: January-June
Option 4: February-April
Correct Answer: January-June
Solution : The correct answer is January-June.
According to the Indian Economy, the Slack Season means those seasons of the year when the demand is very low or dull as compared to the other seasons. During this time, the growth rate of money is reflected in
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Usain Bolt is (second to one) as an athlete.
(1) second to no one
(2) second to none
(3) none of second
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
Second to none is the phrase that means better than anyone or anything else. It is the correct and commonly used phrase in this context to indicate that Usain Bolt is the best athlete and no
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