How Many Dimes are There in 4x - 1 Cents? (1 dime = 10 cents) GMAT Problem Solving

Question: How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)

(A) 40x - 10
(B) 2x/5 - 1/10
(C) 40x - 1
(D) 4x - 1
(E) 20x - 5

Correct Answer: B

Solution and Explanation:

Approach Solution 1:
Let x = 10, making the total amount in cents be 40-1 = 39

There are 3 dimes in this.

Evaluating answer options at x = 10

(A) 40x - 10 = 400 - 10 = 390
(B) 2x/5 - 1/10 = 2*10/5 - 1/20 = 4 - 1/20 = 79/20 = 3.
(C) 40x - 1 = 400 -1 = 399
(D) 4x - 1 = 40 - 1 = 39
(E) 20x - 5 = 200 - 5 = 195

Therefore, Option B(2x/5 - 1/10) is the number of dimes in 4x - 1 cents.

Approach Solution 2:
Since there are 4x - 1 cents and a dime is 10 cents,

there will be 4x - 1/10 or 2x/5 - 1/10 dimes in 4x - 1 cents

“How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

Suggested GMAT Problem Solving Questions

• A farm has chickens, cows and sheep GMAT Problem Solving
• In how many different ways can a group of 8 people be divided into 4 teams of 2 people each? GMAT Problem Solving
• If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other? GMAT Problem Solving
• If the equation |x|+|y|= 5 encloses a certain region on the graph, what is the area of that region? GMAT Problem Solving
• If x = ¾ and y = ⅖ , what is the value of (x^2+ 6x+ 9) - (y^2-2y+ 1)? GMAT Problem Solving
• (15^11 - 15^10)/14 =? GMAT Problem Solving
• If g is an integer what is the value of (-1)^g^4-1? GMAT Problem Solving
• What is the area of the triangle with the following vertices L(1,3) M(5,1) and N(3,5)? GMAT Problem Solving
• If,P^2-QR=10,Q^+PR=10,R^2+PQ=10 and R≠QR≠Q, what is the value of P^2+Q^2+R^2? GMAT Problem Solving
• If y (u-c) = 0 and j (u-k) = 0, which of the following must be true, assuming c < kc < k?
• If 2^98= 256L+N, where L and N are integers and 0≤N≤4, what is the value of N? GMAT Problem Solving
• If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1? GMAT Problem Solving
• How many 5-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 3 different consonants? GMAT Problem Solving
• If a+b+c = 0 and a^3+b^3+c^3 = 216, what is the value of a∗b∗c ? GMAT Problem Solving
• If a polygon has 44 diagonals, then how many sides are there in the polygon? GMAT Problem Solving
• If (a1 + a2 + a3 + .... +an) = 3(2n+1 - 2), for every n≥1, then a11 equals GMAT Problem Solving
• A chord of a circle is equal to its radius. GMAT Problem Solving
• A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. GMAT Problem Solving
• A Container in the Shape of a Right Circular Cylinder is 1/2 GMAT Problem Solving GMAT Problem Solving
• How many multiples of 7 are there between 21 and 343, exclusive? GMAT Problem Solving
• How many odd factors does 210 have? GMAT Problem Solving
• How many three-digit integers are not divisible by 3? GMAT Problem Solving
• How many three-digit numbers are there such that all three digits are different and the first digit is not zero? GMAT Problem Solving
• There was a series of two successive discounts of y% on the price of Laptop GMAT Problem Solving
• The product of two negative numbers is 160. GMAT Problem Solving
• In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 560. GMAT Problem Solving
• In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs. What is the minimum value of x? GMAT Problem Solving
• A librarian has a set of ten books, including four different books about Abraham Lincoln GMAT Problem Solving
• A "standard" deck of playing cards consists of 52 cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs GMAT Problem Solving
• If the sum of the lengths of the edges of a cube is 60 GMAT Problem Solving
• How many even divisors of 1600 are not multiples of 16? GMAT Problem Solving
• How many 5 digit (digit = 0 - 9) zip codes can exist in which at least one digit is repeated ? GMAT Problem Solving
• How Much is the Greatest of Five Consecutive Even Integers Greater than the Smallest? GMAT Problem Solving GMAT Problem Solving
• Is Square Root = Always Positive? GMAT Problem Solving GMAT Problem Solving
• Following equations has a solution in common with x^2 - 2 GMAT Problem Solving
• What is the units digit of the product (32^28) (33^47) (37^19)? Problem Solving
• The least number of digits (including repetitions) needed to express 10^100 in decimal notation GMAT Problem Solving
• The Largest 3 Digit Number to Have an Odd Number of Factors GMAT Problem Solving
• If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron? GMAT Problem Solving
• Greg Assembles Units of a Certain Product at a Factory. GMAT Problem Solving
• A Scientific Research Study Examined a Large Number of Young Foxes, that is, Foxes Between 1 Year and 2 Years Old. GMAT Problem Solving
• The Smallest of Six Consecutive Odd Integers Whose Average (arithmetic mean) is x + 2 GMAT Problem Solving
• The Greatest 6-Digit Number When Divided by 6, 7 ,8 , 9, and 10 Leaves a Remainder of 4, 5, 6, 7, and 8 Respectively GMAT Problem Solving
• Is Zero Even Integer or Odd Integer? GMAT Problem Solving
• If 20 Men or 24 Women or 40 Boys can do a Job in 12 Days GMAT Problem Solving GMAT Problem Solving
• If 10 millimeters equal 1 centimeter, how many square centimeters does 1 square millimeter equal? GMAT Problem Solving
• How many Terminating Zeroes does 200 Have GMAT Problem Solving
• Properties of Circle GMAT Problem Solving GMAT Problem Solving
• If 10, 12 and ‘x’ are Sides of an Acute Angled Triangle, How Many Integer Values of ‘x’ are Possible? GMAT Problem Solving GMAT Problem Solving
• For How Many Values of k is 12^12 the Least Common Multiple GMAT Problem Solving