Number System
- What will be the unit digit in the product 7105 ?
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Correct Option: B
- The fractions
1 , 4 and 2 3 7 5
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1 = 0.333...., 3 4 = 0.5714 , 2 = 0.4 7 5 Correct Option: C
1 = 0.333...., 3 4 = 0.5714 , 2 = 0.4 7 5
Clearly,
0.33 < 0.4 < 0.5714∴ 1 < 2 < 4 3 5 7
- Arrange the following fractions in decreasing order :
3 , 7 , 11 5 9 13
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The decimal equivalent of
3 = 0.6 , 7 = 0.777.... 5 9 11 = 0.846 13 Correct Option: C
The decimal equivalent of
3 = 0.6 , 7 = 0.777.... 5 9 11 = 0.846 13
Obviously, 0.846 > 0.7 > 0.6
∴ The required decreasing order= 11 , 7 , 3 13 9 5
- Arrange the following fractions in the ascending order :
4 , 7 , 6 , 5 5 8 7 6
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Firstly, we express every fraction in decimal form.
4 = 0.8 ; 7 = 0.875 5 8 6 = 0.857 7 5 = 0.833 6 Correct Option: C
Firstly, we express every fraction in decimal form.
4 = 0.8 ; 7 = 0.875 5 8 6 = 0.857 7 5 = 0.833 = 0.83 6 So, 4 < 5 < 6 < 7 5 6 7 8
- Two baskets together have 640 oranges. If
of the oranges in the first basket be taken to the second basket. The number of oranges in the first basket is
1 
th 5
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Let the number of oranges in the first basket be x.
∴ Number of oranges in the second basket = 640 – x
According to the question,x − x = 640 – x + x 5 5 = 640 − x − x 5 ⇒ 4x = 640 – 4x 5 5 ⇒ 4x + 4x = 640 5 5 ⇒ 8x = 640 ⇒ 8x = 640 × 5 = 640 5 ⇒
x =640 × 5 = 400 8 Correct Option: C
Let the number of oranges in the first basket be x.
∴ Number of oranges in the second basket = 640 – x
According to the question,x − x = 640 – x + x 5 5 = 640 − x − x 5 ⇒ 4x = 640 – 4x 5 5 ⇒ 4x + 4x = 640 5 5 ⇒ 8x = 640 ⇒ 8x = 640 × 5 = 640 5 ⇒
x =640 × 5 = 400 8
