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Numbers and Algebra

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Query KaroQK#001
Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

A tiled floor of a room has dimensions m*m sq.m. Dimensions of the tile used are n*n sq.m. All tiles used are green tiles except diagonal tiles which are red.After some years some green tiles are replaced by red tiles to form an alternate red and green tile pattern.How many green tiles are removed?

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7.69%(a) (m²-4mn+2n²)/2n² ( 3 voters )
84.62%(b) ((m-2n)²-n²)/2n² ( 33 voters )
2.56%(c) (m²-4mn-n²)/2n² ( 1 voter )
5.13%(d) (m²-4mn-2n²)/2n² ( 2 voters )
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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:31 pm

    Answer is (b).

    Answer is (b).

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Query KaroQK#001
Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

What is the least number which must be subtracted from 1936 so that the remainder when divided by 9,10,15 will leave in each case the same remainder 7?

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0%(a) 32 ( 0 voters )
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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:19 pm

    Answer is (d).

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Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

If (x-4)/(-x²-6) ≤ 2/(-x²-6) then

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0%(a) x≤2 ( 0 voters )
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    Answer is (d).

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Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

What is the greatest number consisting of six digits which on being divided by 6,7,8,9,10 leaves 4,5,6,7,8 as remainders respectively?

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0%(a) 997920 ( 0 voters )
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    Answer is (b).

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Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

Which of the following is true?

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0%(a) √2 +√5=√7 ( 0 voters )
0%(b) √2+√5≤√7 ( 0 voters )
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    Added an answer on November 19, 2021 at 7:29 pm

    Answer is (d).

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Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

What is the least number which on being divided by 5,6,8,9,12 leaves in each case a remainder 1 but when divided by 13 leaves no remainder?

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100%(b) 3601 ( 1 voter )
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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:17 pm

    Answer is (b).

    Answer is (b).

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Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

If 6≥x≥-2 and 4≥y≥-4, then limits for y/x, where x and y are non zero integers, is

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0%(a) y/x≥2, y/x≤2/3 ( 0 voters )
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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:28 pm

    Answer is (d).

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Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

A group of four numbers has only one prime number amongst them. Which of the following must be true about the group?

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100%(a) I only ( 1 voter )
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I. HCF of the four numbers of the group is either 1 or equal to that prime number. II. LCM of the four numbers of the group is same as product of the prime number and LCM of the remaining three ...Read more

I. HCF of the four numbers of the group is either 1 or equal to that prime number.

II. LCM of the four numbers of the group is same as product of the prime number and LCM of the remaining three numbers.

III. Product of four numbers is equal to product of the prime number *HCF of the group*LCM of the group.

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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:15 pm

    Answer is (a).

    Answer is (a).

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Query KaroQK#001
Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

What are the limits of 2ⁿ(n+1)ⁿ/nⁿ; where n is a positive integer?

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0%(a) 2≤ 2ⁿ(n+1)ⁿ/nⁿ ≤3 ( 0 voters )
100%(b) 2ⁿ⁺¹ ≤ 2ⁿ(n+1)ⁿ/nⁿ ≤ 3.2ⁿ ( 1 voter )
0%(c) 2ⁿ≤ 2ⁿ(n+1)ⁿ ≤ 3.2ⁿ ( 0 voters )
0%(d) None of these ( 0 voters )
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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:27 pm

    Answer is (b).

    Answer is (b).

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Query KaroQK#001
Asked: November 19, 2021In: GATE – Graduate Aptitude Test in Engineering, General Aptitude, Numbers and Algebra, Part-2: Numerical Ability, Predefined Q&A

If (a, n)! is defined as product of n consecutive numbers starting from a, where a and n are both natural numbers, and if H is the HCF of (a, n)! and n!, then what can be said about H?

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0%(a) H=a! ( 0 voters )
100%(b) H=n! ( 2 voters )
0%(c) H≥n! ( 0 voters )
0%(d) H≥a*n ( 0 voters )
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    Query Karo QK#001 Team Query Karo
    Added an answer on November 19, 2021 at 7:14 pm

    Answer is (b).

    Answer is (b).

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