Cluster · Prime Numbers and Number Properties

d
Clusters / #1430
tight score 0.45

Number Sequences Averages and Primes
Questions
140
Questions in this cluster
140 total
Question Category Subtype Difficulty

If the average of five consecutive even numbers is 20, then find the highest number.

pipeline-51330
english intermediate

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
english intermediate

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
english intermediate

The average of 9 consecutive numbers is 20. The smallest of these numbers is:

pipeline-301609
reasoning intermediate

The average of 3 consecutive numbers is 121. Find the largest number.

pipeline-382411
reasoning intermediate

Find the average of prime numbers between 1 to 37. (approx.)

pipeline-382410
reasoning intermediate

The sum of the first nine prime numbers is:

pipeline-1305952
mp_police intermediate

The sum of the five consecutive even numbers is 2720. The sum of the third and fifth numbers is:

pipeline-1306155
mp_police intermediate

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
mp_police intermediate

What is the sum of all the prime numbers between 80 and 100?

pipeline-1288136
mp_police intermediate

 The average of the squares of the first 48 natural numbers is:

pipeline-1286124
mp_police intermediate

If the sum of three consecutive even numbers is 78, what is the second largest number?

pipeline-1363794
rajasthan intermediate

What is the sum of all the prime numbers between 80 and 100?

 

pipeline-1353634
rajasthan intermediate

If the average of 6 consecutive even numbers is 183, find the smallest number.

pipeline-1157695
up_police intermediate

The average of the natural numbers divisible by 5 from the integers −10 to 35 is:

pipeline-1171634
up_police intermediate

The sum of three distinct prime numbers is 44. What is the largest possible prime number?

pipeline-1142390
up_police intermediate

The average of 9 consecutive natural numbers is 51. What is the smallest number among these numbers?

pipeline-1133454
up_police intermediate

The sum of the first 24 natural numbers is:

pipeline-1157352
up_police intermediate

What is the sum of all the prime numbers between 80 and 100?

pipeline-1156812
up_police intermediate

How many prime numbers are there between 30 and 60?

pipeline-1139812
up_police intermediate

What is the average of first 20 multiples of 21 and first 20 multiples of 25?

pipeline-703533
rpf intermediate

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
rpf intermediate

Calculate the average of squares of first 120 natural numbers.

pipeline-539554
rpf intermediate

How many prime numbers are between 55 and 105 excluding both?

pipeline-481726
rpf intermediate

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
banking intermediate

Find the average of the first 14 even numbers.

pipeline-1270363
banking intermediate

Find the average of even number between 100 and 200.

pipeline-1262952
banking intermediate

If the average of five consecutive even numbers is 25, then find the highest number.

pipeline-1259928
banking intermediate

Find the average of consecutive squares of 5 even numbers starting from 4.

pipeline-1263811
banking intermediate

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
defence intermediate

If the sum of three consecutive even numbers is 78, what is the second largest number?

pipeline-1301792
defence intermediate

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
defence intermediate

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
defence intermediate

The total number of 3-digit numbers that have only 3 factors?

pipeline-1272456
defence intermediate

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
defence intermediate

Find the average of the prime numbers lying between 69 and 92.

pipeline-1264298
ib intermediate

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
ib intermediate

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
ib intermediate

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
ib intermediate

The sum of the first nine prime numbers is:

pipeline-1238513
ib intermediate

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
ib intermediate

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
ib intermediate

 The average of the squares of the first 48 natural numbers is:

pipeline-1172722
delhi_police intermediate

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
delhi_police intermediate

What is the average of the first ten odd prime numbers?

pipeline-1108881
delhi_police intermediate

How many prime numbers are there between 55 and 105?

pipeline-1102591
delhi_police intermediate

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
delhi_police intermediate

How many whole numbers lie between 112 and 122 ?

pipeline-1082625
delhi_police intermediate

Find the sum of squares of natural numbers from 1 to 53?

pipeline-1243539
delhi_police intermediate

The sum of two consecutive even numbers is 174. Find the smaller number.

pipeline-1173246
delhi_police intermediate
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