Cluster · Prime Numbers and Number Properties
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If the average of five consecutive even numbers is 20, then find the highest number. pipeline-51330
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english | — | intermediate | |
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The average of 8 numbers is 123.5. Out of the 8 numbers, the first four numbers are consecutive even numbers and the remaining four numbers are consecutive odd numbers. If the difference between the lowest odd and largest even number is 7 then find the sum of the digits of the largest number. pipeline-38412
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english | — | intermediate | |
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The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is
pipeline-59591
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english | — | intermediate | |
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The average of 9 consecutive numbers is 20. The smallest of these numbers is: pipeline-301609
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reasoning | — | intermediate | |
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The average of 3 consecutive numbers is 121. Find the largest number. pipeline-382411
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reasoning | — | intermediate | |
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Find the average of prime numbers between 1 to 37. (approx.) pipeline-382410
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reasoning | — | intermediate | |
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The sum of the first nine prime numbers is: pipeline-1305952
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mp_police | — | intermediate | |
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The sum of the five consecutive even numbers is 2720. The sum of the third and fifth numbers is: pipeline-1306155
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mp_police | — | intermediate | |
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The sum of double of the largest two-digit prime number and triple of the largest three-digit prime number is equal to________ pipeline-1292891
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mp_police | — | intermediate | |
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What is the sum of all the prime numbers between 80 and 100? pipeline-1288136
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mp_police | — | intermediate | |
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The average of the squares of the first 48 natural numbers is: pipeline-1286124
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mp_police | — | intermediate | |
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If the sum of three consecutive even numbers is 78, what is the second largest number? pipeline-1363794
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rajasthan | — | intermediate | |
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What is the sum of all the prime numbers between 80 and 100?
pipeline-1353634
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rajasthan | — | intermediate | |
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If the average of 6 consecutive even numbers is 183, find the smallest number. pipeline-1157695
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up_police | — | intermediate | |
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The average of the natural numbers divisible by 5 from the integers −10 to 35 is: pipeline-1171634
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up_police | — | intermediate | |
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The sum of three distinct prime numbers is 44. What is the largest possible prime number? pipeline-1142390
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up_police | — | intermediate | |
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The average of 9 consecutive natural numbers is 51. What is the smallest number among these numbers? pipeline-1133454
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up_police | — | intermediate | |
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The sum of the first 24 natural numbers is: pipeline-1157352
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up_police | — | intermediate | |
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What is the sum of all the prime numbers between 80 and 100? pipeline-1156812
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up_police | — | intermediate | |
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How many prime numbers are there between 30 and 60? pipeline-1139812
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up_police | — | intermediate | |
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What is the average of first 20 multiples of 21 and first 20 multiples of 25? pipeline-703533
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rpf | — | intermediate | |
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Average of 29 consecutive multiples of 4 was found to be 160. What will be the value of the second-highest term of the series? pipeline-539674
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rpf | — | intermediate | |
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Calculate the average of squares of first 120 natural numbers. pipeline-539554
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rpf | — | intermediate | |
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How many prime numbers are between 55 and 105 excluding both? pipeline-481726
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rpf | — | intermediate | |
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The average of twelve consecutive odd integers is 30. What is the sum of the digits of 1st and the last number of these 12 consecutive numbers? pipeline-1289232
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banking | — | intermediate | |
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Find the average of the first 14 even numbers. pipeline-1270363
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banking | — | intermediate | |
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Find the average of even number between 100 and 200. pipeline-1262952
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banking | — | intermediate | |
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If the average of five consecutive even numbers is 25, then find the highest number. pipeline-1259928
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banking | — | intermediate | |
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Find the average of consecutive squares of 5 even numbers starting from 4. pipeline-1263811
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banking | — | intermediate | |
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There are seven consecutive numbers. Largest even number is 40% more than the smallest even number. Find the average of these seven consecutive even numbers. pipeline-1310613
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defence | — | intermediate | |
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If the sum of three consecutive even numbers is 78, what is the second largest number? pipeline-1301792
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defence | — | intermediate | |
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Consider all prime numbers between 1 and 100. Which of the following statements is (are) correct? a. A number that is one greater than a multiple of 5 has a unit digit of 3 or 6. b. The sum of all numbers which are one greater than a multiple of 5 is 215. c. The sum of all numbers which are one greater than a multiple of 5 and also one greater than a multiple of 6 is 92. pipeline-1290130
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defence | — | intermediate | |
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Consider all prime numbers between 1 and 50: Which statement(s) is/are correct? a. A number that is one greater than a multiple of 4 has a units digit 1 or 5. b. The sum of all numbers that are one greater than a multiple of 3 is 126. c. The sum of all numbers that are one greater than a multiple of 3 and also one greater than a multiple of 4 is 50. pipeline-1272524
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defence | — | intermediate | |
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The total number of 3-digit numbers that have only 3 factors? pipeline-1272456
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defence | — | intermediate | |
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Five consecutive even numbers are written in descending order. If 6, 8 and 10 are added to the first, second and third numbers, respectively, and 13 is added to each of the last two numbers, the new sum of the numbers becomes 120% of the sum of the consecutive even numbers initially given. Find the square of the second largest of these five numbers. pipeline-1251916
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defence | — | intermediate | |
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Find the average of the prime numbers lying between 69 and 92. pipeline-1264298
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ib | — | intermediate | |
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If A is the average of the first 5 natural numbers and B is the average of the first 5 natural numbers which are perfect squares, then what is the average of A and B? pipeline-1259353
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ib | — | intermediate | |
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The sum of three prime numbers is 90. If one of them exceeds the other by 30, then one of the numbers is: pipeline-1259347
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ib | — | intermediate | |
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The average of the squares of four consecutive odd natural numbers is 201. The average of 7 times of the largest number and 3 times of the smallest number is: pipeline-1251825
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ib | — | intermediate | |
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The sum of the first nine prime numbers is: pipeline-1238513
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ib | — | intermediate | |
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Of four consecutive even numbers, the difference between the square of the average of the first two numbers and the square of the average of the last two numbers is 408. Find the largest even number among these. pipeline-1233730
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ib | — | intermediate | |
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Consider all prime numbers between 1 and 50: Which statement(s) is/are correct? a. A number that is one greater than a multiple of 4 has a units digit 1 or 5. b. The sum of all numbers that are one greater than a multiple of 3 is 126. c. The sum of all numbers that are one greater than a multiple of 3 and also one greater than a multiple of 4 is 50. pipeline-1227938
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ib | — | intermediate | |
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The average of the squares of the first 48 natural numbers is: pipeline-1172722
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delhi_police | — | intermediate | |
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Of four consecutive even numbers, the difference between the square of the average of the first two numbers and the square of the average of the last two numbers is 408. Find the largest even number among these. pipeline-1147236
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delhi_police | — | intermediate | |
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What is the average of the first ten odd prime numbers? pipeline-1108881
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delhi_police | — | intermediate | |
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How many prime numbers are there between 55 and 105? pipeline-1102591
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delhi_police | — | intermediate | |
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The average of 10 consecutive even numbers is 25. If two even number just preceding the smallest of the 10 given numbers is also included, then what will be the new average? pipeline-1086482
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delhi_police | — | intermediate | |
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How many whole numbers lie between 112 and 122 ? pipeline-1082625
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delhi_police | — | intermediate | |
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Find the sum of squares of natural numbers from 1 to 53? pipeline-1243539
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delhi_police | — | intermediate | |
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The sum of two consecutive even numbers is 174. Find the smaller number. pipeline-1173246
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delhi_police | — | intermediate |