Number System Test

Result

Number System Test - 1

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Weekly Quiz Competition

Question 1
1 / -0.25

The LCM of two numbers is 4200 and their GCD is 20. If one number is 100, the other number is

A
840

B
420

C
210

D
None of these

Solution

LCM × GCD = Product of numbers = N₁ × N₂
Question 2
1 / -0.25

If y = √2 + 1, then the value of y + 1/y is

A

B
√3/2

C
2√2

D
3/2

Solution
Question 3
1 / -0.25

The largest fraction among

A
2/5

B
3/5

C
4/5

D
3/2

Solution

Numerator is decreasing and denominator is same.
Question 4
1 / -0.25

The sum of the squares of first ten natural numbers is

A
281

B
402

C
385

D
502

Solution
Question 5
1 / -0.25

The value of factorial zero (i.e. 0!) is

A
0

B
1

C
8

D
1/2

Solution

0! = 1
Question 6
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Zero is counted as

A
whole number

B
prime number

C
natural number

D
All of these

Solution

Whole number
Question 7
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Two rational numbers lying between 4/5 and 6/7 are

A

B

C

D
All of these

Solution

Change the fractions into decimals and then find

Hence, the answer is all of these.
Question 8
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The lowest four-digit number which is exactly divisible by 2, 3, 4, 5, 6 and 7 is

A
1400

B
1300

C
1250

D
1260

Solution

LCM of 2, 3, 4, 5, 6 and 7 = 420

Smallest four-digit number divisible by LCM is 420 × 3 = 1260.

Short cut: 1260 is the only option divisible by 3
Question 9
1 / -0.25

The least number when divided by 35 leaves a remainder 25; when divided by 45 leaves a remainder 35; and when divided by 55 leaves the remainder 45. The number is

A
2515

B
3455

C
2875

D
None of these

Solution

Difference between divisor and remainder = 35 – 25 = 45 – 35 = 55 – 45 = 10.

LCM of 35, 45 and 55 = 5 × 7 × 9 × 11 = 3465.

Required number = 3465 – 10 = 3455.

Short cut: 3455 is the only option from which when we subtract 35, we get 3420 which is divisible by 45.
Question 10
1 / -0.25

The sum of two positive numbers is twice their difference. If their product is 48, the numbers will be

A
3 and 16

B
6 and 8

C
4 and 12

D
None of these

Solution