Simplification
- A General of Army wants to form a square from 36562 armies. After arrangement, he found some armies left. How many armies were left ?
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∴ Number of armies left = 81Correct Option: A
∴ Number of armies left = 81
- The sum of two numbers is 37 and the difference of their squares is 185. then the difference between the two numbers is :
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Let the numbers be x and y
where x > y.
According to the question,
x + y = 37
and
x2 − y2 = 185
⇒ (x + y) (x – y) = 185
⇒ 37 (x – y) = 185⇒ x – y = 185 = 5 37 Correct Option: C
Let the numbers be x and y
where x > y.
According to the question,
x + y = 37
and
x2 − y2 = 185
⇒ (x + y) (x – y) = 185
⇒ 37 (x – y) = 185⇒ x – y = 185 = 5 37
- 1008 divided by which single digit number gives a perfect square ?
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∴ 1008
= 2 × 2 × 2 × 2 × 3 × 3 × 7
= 22 × 22 × 32 × 7
∴ Required answer = 7Correct Option: D
∴ 1008
= 2 × 2 × 2 × 2 × 3 × 3 × 7
= 22 × 22 × 32 × 7
∴ Required answer = 7
- The least number by which 20184 must be multiplied so as to make the product a perfect square is
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∴ 20184 = 2 × 2 × 2 × 3 × 29 × 29
= 22 × 292 × 2 × 3
∴ For making it a perfect square,
20184 should be multiplied by 2 × 3 = 6
20184 × 6 = 121104;
√121104 = 348Correct Option: D
∴ 20184 = 2 × 2 × 2 × 3 × 29 × 29
= 22 × 292 × 2 × 3
∴ For making it a perfect square,
20184 should be multiplied by 2 × 3 = 6
20184 × 6 = 121104;
√121104 = 348
- Which of the following is true?
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√5 = 2. 24
√3 = 1. 73
√6 = 2.45
√2 = 1.41
∴ √5 + √3 = 2.24 + 1.73 = 3.97
√6 + √2 = 2.45 + 1.41 = 3.86
Clearly, 3.97 > 3.86Correct Option: A
√5 = 2. 24
√3 = 1. 73
√6 = 2.45
√2 = 1.41
∴ √5 + √3 = 2.24 + 1.73 = 3.97
√6 + √2 = 2.45 + 1.41 = 3.86
Clearly, 3.97 > 3.86
