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Mathematics

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Nov 24, 2024

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You A, B, C, D, E, F, and G are members of a family consisting of four adults and three children, 2 of them being girls, namely F and G. A and D are brothers pnd A is a dentist. E is a teacher married to one of the brothers and has two children. B is married to D and G is their only child. Who are two children of A? ChatGPT ChatGPT The two children of A are F and G. You On a racing track, six players, U, V, W, X, Y, and Z were positioned in such a way that U was to the left of Y and fourth to the left of X. W was in between and equidistant from Y and Z but Y Is not adjacent to X. The winner was at the fourth section of the track from the left. Who was he? ChatGPT ChatGPT The winner was W. You Rearrange the given phrases to form a complete sentence. A: to scan it for journalistic rigour B: a story is worth publishing C: while due diligence is used D: editorial judgment tells whether ChatGPT ChatGPT Editorial judgment tells whether a story is worth publishing while due diligence is used to scan it for journalistic rigour. You Recaarange and gave Dbac Cbda Bcad Dbca Which is correct ChatGPT ChatGPT The correct arrangement is BCDA. You

A part of an electronics gadget costs 1/3rd of the price of the gadget. If the cost of the part is gone up by 10%, how much hike in the original price of the gadget is needed to maintain the profit at 25%? ChatGPT ChatGPT Let the original price of the gadget be G. The cost of the part is 1/3rd of G, which is (1/3) * G. If the cost of the part increases by 10%, the new cost becomes (1/3) * G * 1.1. To maintain a 25% profit, the new price of the gadget should be 1.25 * G. So, the required hike in the original price is 1.25 * G - G * (1/3) * 1.1. You A sum of $360 is divided between 96 students. Each student belongs to exactly one of the two groups - A and B. If each student in group A got $2.40 and each student in group B got $4.80, what is the number of students in group B? ChatGPT ChatGPT Let's denote the number of students in group A as � x and in group B as � y . Since there are 96 students in total, we have the equation + =96 � � x + y =96 . The total amount distributed is $360. For each student in group A, $2.40 is given, and for each student in group B, $4.80 is given. So, the equation for the total amount is

2.40 +4.80 =360 � � 2.40 x +4.80 y =360 . Now, you can solve these two equations simultaneously to find the values of � x and � y . The value of � y will give you the number of students in group B. You Option are 54 45 60 42 ChatGPT ChatGPT Let's solve the system of equations: + =96 � � x + y =96 2.40 +4.80 =360 � � 2.40 x +4.80 y =360 Multiply the first equation by 2.40 to make the coefficients of � x in both equations match:

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2.40 +2.40 =230.40 � � 2.40 x +2.40 y =230.40 2.40 +4.80 =360 � � 2.40 x +4.80 y =360 Subtract the first equation from the second: 2.40 =129.60 � 2.40 y =129.60 Now, divide by 2.40 to find � y , the number of students in group B: =54 � y =54 So, the correct option is 54. You The ratio of the number of candidates who took an examination and the number of candidates who passed the examination is 14:11. What is the approximate percentage of candidates who passed the examination? 73.8% 85.5% 70.2% 78.6% ChatGPT ChatGPT Let's assume the number of candidates who took the examination is 14x, and the number of candidates who passed is 11x. The passing percentage is given by the formula: Passing Percentage=(Number of Candidates PassedNumber of Candidates

Took)×100 Passing Percentage=( Number of Candidates Took Number of Candidates Passed )×100 Substitute in the given values: Passing Percentage=(11�14�)×100=1114×100≈78.57% Passing Percentage=( 14 x 11 x )×100= 14 11 ×100≈78.57% So, the approximate passing percentage is 78.6%, which is closest to the option. You $680 is divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. The share of C is: $480 $300 $420 $540 ChatGPT ChatGPT

Let the amount that C gets be � x . According to the given conditions: A gets 23 3 2 of what B gets. B gets 14 4 1 of what C gets. So, we have: =23 � � A = 3 2 B =14 � � B = 4 1 C Now, let's express B and A in terms of �

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x : =14 � � B = 4 1 x =23(14 )=16 � � � A = 3 2 ( 4 1 x )= 6 1 x The sum of their shares is the total amount: + + =16 +14 + =512 � � � � � � � A + B + C = 6 1 x + 4 1

x + x = 12 5 x Given that this total is $680, we can set up an equation: 512 =680 � 12 5 x =680 Solving for � x : =125×680 � x = 5 12 ×680 =1632 � x =1632

So, the share of C is $1632. You A dozen pairs of gloves quoted at $80 are available at a discount of 10%. Find how many pairs of gioves can be bought for $24. ChatGPT ChatGPT Let's break down the information given: A dozen pairs of gloves are quoted at $80. There's a 10% discount. The discounted price per dozen pairs is 80−(0.10×80)=80−8=72 80−(0.10×80)=80−8=72 . Now, you want to find how many pairs of gloves can be bought for $24. To do this, you can set up a proportion: Number of pairsCost=1 dozen pairs72 Cost Number of pairs = 72 1 dozen pairs Let � x be the number of pairs for $24: 24=172 �

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24 x = 72 1 Cross-multiply to solve for � x : 72 =24×1 � 72 x =24×1 72 =24 � 72 x =24 =2472 � x = 72 24 =13 � x = 3 1

So, you can buy 13 3 1 dozen pairs for $24. Since there are 12 pairs in a dozen, you can buy 13×12=4 3 1 ×12=4 pairs of gloves for $24. ChatGPT can make mistakes. Consider checking important information.

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