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SSC SI CAPF Exam Quantitative Aptitude Study Material

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Numbers Operations

The smallest
Q.Whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digits of x is

a) 9
b) 5
c) 7
d) 6

✔Answer

✔Solution

Correct Answer Is : 6

Solution Is :

The average of all the numbers between 6 and 50 Which are divisible by 5 is

a) 27.5
b) 30
c) 28.5
d) 22

✔Answer

✔Solution

Correct Answer Is : 27.5

Solution Is : (1) Numbers are : 10,15,20,25,30,35,40,45 Sum = 220 Average = 220/8 =27.5

The greatest number by Which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively , is

a) 136
b) 168
c) 42
d) 84

✔Answer

✔Solution

Correct Answer Is : 84

Solution Is :

Which of the following is the smallest fraction:

a) 2/7
b) 3/7
c) 4/7
d) 1

✔Answer

✔Solution

Correct Answer Is : 1

Solution Is : 1/7 < 2/7 < 3/7 <4/7

Find the smallest number which is divisible by 12, 15, 20 and is a perfect square:

a) 400
b) 180
c) 900
d) 1000

✔Answer

✔Solution

Correct Answer Is : 900

Solution Is : LCM of 12, 15 and 20 = 60. = 2 * 2 * 3 * 5 ∴ Perfect square number = 2² * 3² * 5² = 900

The sum of all the natural numbers between 301 and 501 (including 301 and 501) which are divisible by 7 is

a) 11277
b) 12571
c) 15171
d) 11571

✔Answer

✔Solution

Correct Answer Is : 11571

Solution Is : The smallest number = 301 The largest number = 497 common difference = d = 7 tn = a + (n-1) d =? 497 = 301 + (n-1) X 7 =? (n-1) X 7 = 497 - 301 = 196 =? n-1 = 196 ÷ 7 = 28 =? n = 28 + 1 = 29 Required sum = n/2 ( first term + last term ) 29/2 ( 301 + 497 ) 29 X 798/2 = 11571

Let a?, a₂__.., a? be arbitrary different positive integers, taking one value at a time from 1, 2, ., 7. The number (a₁ - 1)(a₂ -2) _..(a₇- 7)

a) Is odd if non-zero
b) Is necessarily 0
c) Is even if non-zero
d) Is always &?#8804; 0

✔Answer

✔Solution

Correct Answer Is : Is necessarily 0

Solution Is :

Consider the natural number 88935. Then the least natural number by which we can divide or multiply the number to make it a square number is

a) 3
b) 5
c) 15
d) None of these

✔Answer

✔Solution

Correct Answer Is : 15

Solution Is :

A two digit is such that when it is divided by the largest single digit prime number leaves remainder 4. If the difference of the two digits is 4 then the number is

a) 73
b) 25
c) 53
d) 95

✔Answer

✔Solution

Correct Answer Is : 95

Solution Is : If Number = 95, then 9 - 5 = 4 and Remainder = 4

What is the least number which when increased by 13 is divisible by each of 42, 36 and 45 ?

a) 1273
b) 1247
c) 1207
d) 2507

✔Answer

✔Solution

Correct Answer Is : 1247

Solution Is : Required number = LCM of 42, 36, and 45- 13 LCM = 2 X 3 X 3 X 7 X 2 X 5 = 1260

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SSC SI CAPF Exam Quantitative Aptitude Study Material

Numbers Operations

The smallestQ.Whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digits of x is

Correct Answer Is : 6

Solution Is :

The average of all the numbers between 6 and 50 Which are divisible by 5 is

Correct Answer Is : 27.5

Solution Is : (1) Numbers are : 10,15,20,25,30,35,40,45 Sum = 220 Average = 220/8 =27.5

The greatest number by Which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively , is

Correct Answer Is : 84

Solution Is :

Which of the following is the smallest fraction:

Correct Answer Is : 1

Solution Is : 1/7 < 2/7 < 3/7 <4/7

Find the smallest number which is divisible by 12, 15, 20 and is a perfect square:

Correct Answer Is : 900

Solution Is : LCM of 12, 15 and 20 = 60. = 2 * 2 * 3 * 5 ∴ Perfect square number = 22 * 32 * 52 = 900

The sum of all the natural numbers between 301 and 501 (including 301 and 501) which are divisible by 7 is

Correct Answer Is : 11571

Solution Is : The smallest number = 301 The largest number = 497 common difference = d = 7 tn = a + (n-1) d =? 497 = 301 + (n-1) X 7 =? (n-1) X 7 = 497 - 301 = 196 =? n-1 = 196 ÷ 7 = 28 =? n = 28 + 1 = 29 Required sum = n/2 ( first term + last term ) 29/2 ( 301 + 497 ) 29 X 798/2 = 11571

Let a?, a2______.., a? be arbitrary different positive integers, taking one value at a time from 1, 2, ______., 7. The number (a1 - 1)(a2 -2) ___..(a7- 7)

Correct Answer Is : Is necessarily 0

Solution Is :

Consider the natural number 88935. Then the least natural number by which we can divide or multiply the number to make it a square number is

Correct Answer Is : 15

Solution Is :

A two digit is such that when it is divided by the largest single digit prime number leaves remainder 4. If the difference of the two digits is 4 then the number is

Correct Answer Is : 95

Solution Is : If Number = 95, then 9 - 5 = 4 and Remainder = 4

What is the least number which when increased by 13 is divisible by each of 42, 36 and 45 ?

Correct Answer Is : 1247

Solution Is : Required number = LCM of 42, 36, and 45- 13 LCM = 2 X 3 X 3 X 7 X 2 X 5 = 1260

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The smallest
Q.Whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digits of x is

Solution Is : LCM of 12, 15 and 20 = 60. = 2 * 2 * 3 * 5 ∴ Perfect square number = 2² * 3² * 5² = 900

Let a?, a₂__.., a? be arbitrary different positive integers, taking one value at a time from 1, 2, ., 7. The number (a₁ - 1)(a₂ -2) _..(a₇- 7)