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1
What is 179.34 + 160.63?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation179.34 + 160.63 = 339.97.
Arithmetic GMAT GRE Mathematics Practice Set
2
What is 7/4 + 2?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationUsing a common denominator, 7/4 + 2 = 15/4.
Arithmetic GMAT GRE Mathematics Practice Set
3
What is the smallest positive number that must be added to 8735 so that the sum is exactly divisible by 24?
Arithmetic - Number Properties
Medium
Explanation8735 divided by 24 leaves remainder 23, so adding 24 − 23 = 1 makes it exactly divisible by 24.
Arithmetic GMAT GRE Mathematics Practice Set
4
A shopkeeper marks up an item costing Rs. 1674 by 6%. What is the markup amount (in Rs.)?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationMarkup amount = CP × 6/100 = 1674 × 0.0600 = Rs. 100.44.
Arithmetic GMAT GRE Mathematics Practice Set
5
How many integers satisfy |x − 2| < 18?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|x − 2| < 18 means -16 < x < 20. The integers strictly between -16 and 20 number 35.
Arithmetic GMAT GRE Mathematics Practice Set
6
What is the compound interest on Rs. 3125 at 8% per annum, compounded annually, for 2 years?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationAmount = P(1 + R/100)^2 = 3125 × (1 + 8/100)^2 = Rs. 3645, so CI = Rs. 3645 − Rs. 3125 = Rs. 520.
Arithmetic GMAT GRE Mathematics Practice Set
7
If A:B = 8:3 and B:C = 6:8, what is A:B:C?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationScale both ratios so B matches: A:B = 16:6 and B:C = 6:8, giving A:B:C = 16:6:8.
Arithmetic GMAT GRE Mathematics Practice Set
8
How many prime numbers are there between 47 and 73, inclusive?
Arithmetic - Number Properties
Medium
ExplanationThe primes between 47 and 73 are [47, 53, 59, 61, 67, 71, 73], totaling 7.
Arithmetic GMAT GRE Mathematics Practice Set
9
What is 240.39 − 190.39?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation240.39 − 190.39 = 50.0.
Arithmetic GMAT GRE Mathematics Practice Set
10
What is the simple interest on Rs. 9268 at 11% per annum for 6 years?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationSimple Interest = (P × R × T) / 100 = (9268 × 11 × 6) / 100 = Rs. 6116.88.
Arithmetic GMAT GRE Mathematics Practice Set
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11
An interest rate rises from 17% to 32%. By how many percentage points did it increase?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationA percentage-point increase is a simple subtraction: 32% − 17% = 15 percentage points.
Arithmetic GMAT GRE Mathematics Practice Set
12
What is the midpoint between -54 and 53 on the number line?
Artithmetic - Absolute Value and Number Lines
Medium
ExplanationThe midpoint of -54 and 53 is (-54 + 53) / 2 = -1/2 = -1/2.
Arithmetic GMAT GRE Mathematics Practice Set
13
Convert 130/9 to a mixed number.
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation130 ÷ 9 = 14 remainder 4, so 130/9 = 14 4/9.
Arithmetic GMAT GRE Mathematics Practice Set
14
What is the smallest positive integer that is divisible by all of 23, 15, and 6?
Arithmetic - Number Properties
Medium
ExplanationThe smallest such number is LCM(23, 15, 6) = 690.
Arithmetic GMAT GRE Mathematics Practice Set
15
Round 495.6983 to the nearest tenth.
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationRounding 495.6983 to the nearest tenth gives 495.7.
Arithmetic GMAT GRE Mathematics Practice Set
16
Which is greater: 1 or 4?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation1 = 1.0000 and 4 = 4.0000, so 4 is greater.
Arithmetic GMAT GRE Mathematics Practice Set
17
If A:B = 4:8 and B:C = 10:8, what is A:B:C?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationScale both ratios so B matches: A:B = 20:40 and B:C = 40:32, giving A:B:C = 20:40:32.
Arithmetic GMAT GRE Mathematics Practice Set
18
Is 383 a prime number?
Arithmetic - Number Properties
Medium
Explanation383 is not divisible by any integer other than 1 and itself, so it is prime.
Arithmetic GMAT GRE Mathematics Practice Set
19
What is the length of the solution interval for |x + 29| < 18?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|x + 29| < 18 describes the interval (-47, -11), which has length -11 − (-47) = 36.
Arithmetic GMAT GRE Mathematics Practice Set
20
What single discount is equivalent to two successive discounts of 3% and 2%?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationEquivalent discount = 100 − (100−3)(100−2)/100 = 4.94%.
Arithmetic GMAT GRE Mathematics Practice Set
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21
How many digits does 9^37 have?
Arithmetic - Number Properties
Medium
ExplanationThe number of digits of 9^37 is floor(37 × log10(9)) + 1 = 36.
Arithmetic GMAT GRE Mathematics Practice Set
22
What is the highest power of 7 that divides 42! (42 factorial) exactly?
Arithmetic - Number Properties
Medium
ExplanationUsing Legendre's formula, the exponent of 7 in 42! is floor(42/7) + floor(42/49) + ... = 6.
Arithmetic GMAT GRE Mathematics Practice Set
23
What is the remainder when 893 is divided by 12?
Arithmetic - Number Properties
Medium
Explanation893 = 12 × 74 + 5, so the remainder is 5.
Arithmetic GMAT GRE Mathematics Practice Set
24
Which is greater: 9/2 or 5?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation9/2 = 4.5000 and 5 = 5.0000, so 5 is greater.
Arithmetic GMAT GRE Mathematics Practice Set
25
The ratio of boys to girls in a class is 15:14. If there are 300 boys, how many girls are there?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationSince boys:girls = 15:14 and there are 300 boys, each 'part' = 300/15 = 20, so girls = 14 × 20 = 280.
Arithmetic GMAT GRE Mathematics Practice Set
26
Three warning lights flash every 20, 15, and 17 seconds respectively. If they all flash together at the same instant, after how many seconds will they next flash together?
Arithmetic - Number Properties
Medium
ExplanationThey will next flash together after LCM(20, 15, 17) = 1020 seconds.
Arithmetic GMAT GRE Mathematics Practice Set
27
What is 2/9 of 252?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation2/9 of 252 = (2 × 252) / 9 = 56.
Arithmetic GMAT GRE Mathematics Practice Set
28
What is the simple interest on Rs. 19391 at 10% per annum for 7 years?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationSimple Interest = (P × R × T) / 100 = (19391 × 10 × 7) / 100 = Rs. 13573.7.
Arithmetic GMAT GRE Mathematics Practice Set
29
If 14 pens cost Rs. 308, how much would 21 pens cost?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationCost per pen = Rs. 308/14 = Rs. 22. So 21 pens cost 21 × Rs. 22 = Rs. 462.
Arithmetic GMAT GRE Mathematics Practice Set
30
Two buses leave a station together. One returns to the station every 13 minutes and the other every 40 minutes. After how many minutes will both buses be at the station together again?
Arithmetic - Number Properties
Medium
ExplanationBoth buses will be at the station together again after LCM(13, 40) = 520 minutes.
Arithmetic GMAT GRE Mathematics Practice Set
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31
What is 4/9 + 1/3?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationUsing a common denominator, 4/9 + 1/3 = 7/9.
Arithmetic GMAT GRE Mathematics Practice Set
32
What is 70% of 70% of 75?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
Explanation70% of 70% of 75 = (70/100) × (70/100) × 75 = 36.75.
Arithmetic GMAT GRE Mathematics Practice Set
33
If 37 workers can complete a task in 15 days, how many days would 15 workers take to complete the same task (assuming the same work rate per worker)?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationTotal work = 37 × 15 = 555 worker-days. With 15 workers, days = 555/15 = 37.
Arithmetic GMAT GRE Mathematics Practice Set
34
What is 242.03 − 192.03?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation242.03 − 192.03 = 50.0.
Arithmetic GMAT GRE Mathematics Practice Set
35
What is 10% of 30% of 1080?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
Explanation10% of 30% of 1080 = (10/100) × (30/100) × 1080 = 32.4.
Arithmetic GMAT GRE Mathematics Practice Set
36
What is 45% of 173?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
Explanation45% of 173 = (45/100) × 173 = 77.85.
Arithmetic GMAT GRE Mathematics Practice Set
37
What single discount is equivalent to two successive discounts of 36% and 10%?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationEquivalent discount = 100 − (100−36)(100−10)/100 = 42.4%.
Arithmetic GMAT GRE Mathematics Practice Set
38
How many digits does 3^56 have?
Arithmetic - Number Properties
Medium
ExplanationThe number of digits of 3^56 is floor(56 × log10(3)) + 1 = 27.
Arithmetic GMAT GRE Mathematics Practice Set
39
After a 75% decrease, a quantity became 110. What was the original quantity?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationOriginal × (1 − 75/100) = 110, so original = 110 / 0.2500 = 440.
Arithmetic GMAT GRE Mathematics Practice Set
40
What is the length of the solution interval for |x − 35| < 4?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|x − 35| < 4 describes the interval (31, 39), which has length 39 − (31) = 8.
Arithmetic GMAT GRE Mathematics Practice Set
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41
What is 2/3 + 11/12?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationUsing a common denominator, 2/3 + 11/12 = 19/12.
Arithmetic GMAT GRE Mathematics Practice Set
42
4856 is NOT divisible by which of the following numbers?
Arithmetic - Number Properties
Medium
Explanation4856 ÷ 10 leaves a remainder of 6, so it does not divide evenly.
Arithmetic GMAT GRE Mathematics Practice Set
43
The digits of 1211 sum to 5. Based on this, is 1211 divisible by 3?
Arithmetic - Number Properties
Medium
ExplanationA number is divisible by 3 if and only if its digit sum is divisible by 3. Here the digit sum is 5, which is not divisible by 3.
Arithmetic GMAT GRE Mathematics Practice Set
44
What is 13/5 − 1?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationUsing a common denominator, 13/5 − 1 = 8/5.
Arithmetic GMAT GRE Mathematics Practice Set
45
9^2 = 81. How many positive divisors does 81 have?
Arithmetic - Number Properties
Medium
Explanation81 = 3^4, giving 5 divisors — always an odd count for a perfect square, since every divisor pairs with another except the square root.
Arithmetic GMAT GRE Mathematics Practice Set
46
What is 1 × 4?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationMultiply numerators and denominators: (1×4)/(1×1) = 4.
Arithmetic GMAT GRE Mathematics Practice Set
47
What is the ratio of 78 to 26, expressed in lowest terms?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation78:26 reduces by dividing both terms by their GCD (26), giving 3:1.
Arithmetic GMAT GRE Mathematics Practice Set
48
What are the solutions to |x − 13| = 3?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|x − 13| = 3 means x is 3 away from 13, so x = 13 + 3 = 16 or x = 13 − 3 = 10.
Arithmetic GMAT GRE Mathematics Practice Set
49
Convert 17/4 to a mixed number.
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation17 ÷ 4 = 4 remainder 1, so 17/4 = 4 1/4.
Arithmetic GMAT GRE Mathematics Practice Set
50
For a = 1 and b = -3, is |a + b| equal to |a| + |b|, or strictly less than |a| + |b|?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|a + b| = 2 and |a| + |b| = 4. Since a and b have opposite signs, the two are not equal, with |a+b| smaller.
Arithmetic GMAT GRE Mathematics Practice Set
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51
What is the units digit of 9^11?
Arithmetic - Number Properties
Medium
ExplanationUnits digits of powers of 9 repeat in a cycle of length 2. Using 11 mod 2, the units digit is 9.
Arithmetic GMAT GRE Mathematics Practice Set
52
A value is first increased by 48% and then increased by 45%. What is the overall net percentage change?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationStarting with 100: after the first change it becomes 148.00, and after the second change it becomes 214.60 — a net change of +114.6% from the original 100.
Arithmetic GMAT GRE Mathematics Practice Set
53
What is the solution set of |x − 16| > 9?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|x − 16| > 9 means x is farther than 9 from 16, giving x < 7 or x > 25.
Arithmetic GMAT GRE Mathematics Practice Set
54
What is the smallest positive integer that leaves a remainder of 11 when divided by 15 and a remainder of 10 when divided by 14?
Arithmetic - Number Properties
Medium
ExplanationSince both remainders are exactly 4 less than their divisors, the answer is LCM(15, 14) − 4 = 210 − 4 = 206.
Arithmetic GMAT GRE Mathematics Practice Set
55
What is 45.36 ÷ 8.4?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation45.36 ÷ 8.4 = 5.4.
Arithmetic GMAT GRE Mathematics Practice Set
56
A value is first decreased by 20% and then decreased by 4%. What is the overall net percentage change?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationStarting with 100: after the first change it becomes 80.00, and after the second change it becomes 76.80 — a net change of -23.2% from the original 100.
Arithmetic GMAT GRE Mathematics Practice Set
57
What is 8.3 × 13.2?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation8.3 × 13.2 = 109.56.
Arithmetic GMAT GRE Mathematics Practice Set
58
What is |-56 ÷ 7|?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|-56 ÷ 7| = |-56| ÷ |7| = 56 ÷ 7 = 8.
Arithmetic GMAT GRE Mathematics Practice Set
59
Three warning lights flash every 6, 4, and 8 seconds respectively. If they all flash together at the same instant, after how many seconds will they next flash together?
Arithmetic - Number Properties
Medium
ExplanationThey will next flash together after LCM(6, 4, 8) = 24 seconds.
Arithmetic GMAT GRE Mathematics Practice Set
60
What is the distance between 78 and -87 on the number line?
Artithmetic - Absolute Value and Number Lines
Medium
ExplanationThe distance between two points on a number line is |78 − (-87)| = 165.
Arithmetic GMAT GRE Mathematics Practice Set
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61
A shop offers successive discounts of 60% and 40% on an item marked at Rs. 100. What is the final selling price?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationFinal price = 100 × (1 − 60/100) × (1 − 40/100) = Rs. 24.
Arithmetic GMAT GRE Mathematics Practice Set
62
Three warning lights flash every 11, 16, and 7 seconds respectively. If they all flash together at the same instant, after how many seconds will they next flash together?
Arithmetic - Number Properties
Medium
ExplanationThey will next flash together after LCM(11, 16, 7) = 1232 seconds.
Arithmetic GMAT GRE Mathematics Practice Set
63
Which is farther from 23 on the number line: 24 or 65?
Artithmetic - Absolute Value and Number Lines
Medium
ExplanationDistance from 23: |24 − 23| = 1, and |65 − 23| = 42. So 65 is farther.
Arithmetic GMAT GRE Mathematics Practice Set
64
What is the compound interest on Rs. 5625 at 16% per annum, compounded annually, for 2 years?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationAmount = P(1 + R/100)^2 = 5625 × (1 + 16/100)^2 = Rs. 7569, so CI = Rs. 7569 − Rs. 5625 = Rs. 1944.
Arithmetic GMAT GRE Mathematics Practice Set
65
For a = 18 and b = 14, is |a + b| equal to |a| + |b|, or strictly less than |a| + |b|?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|a + b| = 32 and |a| + |b| = 32. Since a and b have the same sign, the two are equal.
Arithmetic GMAT GRE Mathematics Practice Set
66
What is the average (arithmetic mean) of the 3 consecutive integers from 46 to 48?
Arithmetic - Number Properties
Medium
ExplanationFor consecutive integers, the average equals the middle value, which is 47.
Arithmetic GMAT GRE Mathematics Practice Set
67
After a discount of 50%, an item sells for Rs. 518. What was the marked price?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationMarked price = SP / (1 − 50/100) = 518 / 0.5000 = Rs. 1036.
Arithmetic GMAT GRE Mathematics Practice Set
68
A value is first decreased by 28% and then decreased by 60%. What is the overall net percentage change?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationStarting with 100: after the first change it becomes 72.00, and after the second change it becomes 28.80 — a net change of -71.2% from the original 100.
Arithmetic GMAT GRE Mathematics Practice Set
69
What is 6.0 × 16.9?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation6.0 × 16.9 = 101.4.
Arithmetic GMAT GRE Mathematics Practice Set
70
What is the simple interest on Rs. 1683 at 6% per annum for 5 years?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationSimple Interest = (P × R × T) / 100 = (1683 × 6 × 5) / 100 = Rs. 504.9.
Arithmetic GMAT GRE Mathematics Practice Set
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71
A sum of Rs. 17354 at 10% simple interest per annum earns Rs. 8677 in interest. For how many years was it invested?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationTime = (SI × 100) / (P × R) = (8677 × 100) / (17354 × 10) = 5 years.
Arithmetic GMAT GRE Mathematics Practice Set
72
A car travels 64 km in 8 hours at a constant speed. How far will it travel in 14 hours?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationSpeed = 64 km / 8 hr = 8 km/hr. In 14 hours, distance = 8 × 14 = 112 km.
Arithmetic GMAT GRE Mathematics Practice Set
73
The digits of 5061 sum to 12. Based on this, is 5061 divisible by 3?
Arithmetic - Number Properties
Medium
ExplanationA number is divisible by 3 if and only if its digit sum is divisible by 3. Here the digit sum is 12, which is divisible by 3.
Arithmetic GMAT GRE Mathematics Practice Set
74
Simplify 12/18 to its lowest terms.
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation12 and 18 share a common factor of 6; dividing both by it gives 2/3.
Arithmetic GMAT GRE Mathematics Practice Set
75
Simplify 156/84 to its lowest terms.
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation156 and 84 share a common factor of 12; dividing both by it gives 13/7.
Arithmetic GMAT GRE Mathematics Practice Set
76
How many multiples of 11 are there between 63 and 339, inclusive?
Arithmetic - Number Properties
Medium
ExplanationThe multiples of 11 in this range run from 66 to 330, giving 25 multiples.
Arithmetic GMAT GRE Mathematics Practice Set
77
What is the average (arithmetic mean) of the 7 consecutive integers from 71 to 77?
Arithmetic - Number Properties
Medium
ExplanationFor consecutive integers, the average equals the middle value, which is 74.
Arithmetic GMAT GRE Mathematics Practice Set
78
What is 5/3 × 11/12?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationMultiply numerators and denominators: (5×11)/(3×12) = 55/36.
Arithmetic GMAT GRE Mathematics Practice Set
79
What is the least common multiple (LCM) of 33 and 14?
Arithmetic - Number Properties
Medium
ExplanationLCM(33, 14) = 462, the smallest number divisible by both 33 and 14.
Arithmetic GMAT GRE Mathematics Practice Set
80
Are 18 and 45 relatively prime (i.e., is their greatest common divisor 1)?
Arithmetic - Number Properties
Medium
ExplanationGCD(18, 45) = 9, so they are not relatively prime, since they share the common factor 9.
Arithmetic GMAT GRE Mathematics Practice Set
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81
A value increases from 125 to 185. What is the percentage increase?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationPercentage increase = ((185 − 125) / 125) × 100 = 48%.
Arithmetic GMAT GRE Mathematics Practice Set
82
Convert the mixed number 12 1/2 to an improper fraction.
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation12 1/2 = ((12 × 2) + 1) / 2 = 25/2.
Arithmetic GMAT GRE Mathematics Practice Set
83
An interest rate rises from 47% to 49%. By how many percentage points did it increase?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationA percentage-point increase is a simple subtraction: 49% − 47% = 2 percentage points.
Arithmetic GMAT GRE Mathematics Practice Set
84
If 10 pens cost Rs. 60, how much would 14 pens cost?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationCost per pen = Rs. 60/10 = Rs. 6. So 14 pens cost 14 × Rs. 6 = Rs. 84.
Arithmetic GMAT GRE Mathematics Practice Set
85
What is 15/7 − 9/14?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationUsing a common denominator, 15/7 − 9/14 = 3/2.
Arithmetic GMAT GRE Mathematics Practice Set
86
What is the distance between 70 and 86 on the number line?
Artithmetic - Absolute Value and Number Lines
Medium
ExplanationThe distance between two points on a number line is |70 − 86| = 16.
Arithmetic GMAT GRE Mathematics Practice Set
87
Which is greater: |-22| or |23|?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|-22| = 22 and |23| = 23, so |23| is greater.
Arithmetic GMAT GRE Mathematics Practice Set
88
What is the sum of 5 consecutive even integers starting from 50?
Arithmetic - Number Properties
Medium
ExplanationThe 5 consecutive even integers are [50, 52, 54, 56, 58]; their sum is 270.
Arithmetic GMAT GRE Mathematics Practice Set
89
What is the smallest number that must be subtracted from 4337 so that the result is exactly divisible by 11?
Arithmetic - Number Properties
Medium
Explanation4337 divided by 11 leaves remainder 3, so subtracting 3 makes it exactly divisible by 11.
Arithmetic GMAT GRE Mathematics Practice Set
90
What is the ratio of 260 to 240, expressed in lowest terms?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
Explanation260:240 reduces by dividing both terms by their GCD (20), giving 13:12.
Arithmetic GMAT GRE Mathematics Practice Set
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91
How many solutions does |x − 28| = −8 have?
Artithmetic - Absolute Value and Number Lines
Medium
ExplanationAn absolute value can never equal a negative number, so |x − 28| = −8 has no solution.
Arithmetic GMAT GRE Mathematics Practice Set
92
If 16:5 = 272:x, what is the value of x?
Arithmetic - Fractions, Decimals, Ratios and Prop…
Medium
ExplanationSince 272/16 = 17, x = 5 × 17 = 85.
Arithmetic GMAT GRE Mathematics Practice Set
93
Which is farther from 4 on the number line: -71 or 38?
Artithmetic - Absolute Value and Number Lines
Medium
ExplanationDistance from 4: |-71 − 4| = 75, and |38 − 4| = 34. So -71 is farther.
Arithmetic GMAT GRE Mathematics Practice Set
94
What is the smallest positive integer that is divisible by all of 22, 6, and 19?
Arithmetic - Number Properties
Medium
ExplanationThe smallest such number is LCM(22, 6, 19) = 1254.
Arithmetic GMAT GRE Mathematics Practice Set
95
Which is greater: |-53| or |-47|?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|-53| = 53 and |-47| = 47, so |-53| is greater.
Arithmetic GMAT GRE Mathematics Practice Set
96
What is the sum of all positive divisors of 92 (including 92 itself)?
Arithmetic - Number Properties
Medium
ExplanationThe divisors of 92 are [1, 2, 4, 23, 46, 92], which sum to 168.
Arithmetic GMAT GRE Mathematics Practice Set
97
Rs. 7269 is invested at 18% simple interest per annum for 3 years. What is the total amount after 3 years?
Artithmetic - Percentages (Profit/Loss, Interest,…
Medium
ExplanationAmount = Principal + Interest = 7269 + 3925.26 = Rs. 11194.26.
Arithmetic GMAT GRE Mathematics Practice Set
98
How many trailing zeros are in 47! (47 factorial)?
Arithmetic - Number Properties
Medium
ExplanationTrailing zeros come from factors of 5 in 47!. Counting multiples of 5, 25, 125, ... gives 10 trailing zeros.
Arithmetic GMAT GRE Mathematics Practice Set
99
Which is greater: |53| or |75|?
Artithmetic - Absolute Value and Number Lines
Medium
Explanation|53| = 53 and |75| = 75, so |75| is greater.
Arithmetic GMAT GRE Mathematics Practice Set
100
22^2 = 484. How many positive divisors does 484 have?
Arithmetic - Number Properties
Medium
Explanation484 = 2^2 × 11^2, giving 9 divisors — always an odd count for a perfect square, since every divisor pairs with another except the square root.
Arithmetic GMAT GRE Mathematics Practice Set
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