CAT Questions

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A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.

In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.  

The pilgrims follow John Calvin's teachings.

The Preamble was adopted with the constitution in the constituent assembly.

The Preamble proclaims the solemn resolution of the people of India to constitute India into a 'Sovereign socialist secular democratic republic'.

Uniform civil code is the ongoing point of debate within Indian mandate to replace personal laws based on the scriptures and customs of each major religious community in India with a common set of rules governing every citizen.

Goa is the only state in INdia where Uniform Civil Code is applied. Laws are equal to all religion. Polygamy and triple talaq are illegal. 

The given expression can be simplified as

6 ÷ 2 (1 + 2)

The expression can be simplified further by the order of operations, using BODMAS rule.

First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.

Now, the expression becomes 6 ÷ 2 (3)

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3.

6 ÷ 2 × 3

= 3 × 3

= 9

But not  6÷2×3 = 6 ÷ 6 = 1

Hence, 6 ÷ 2 (1 + 2) = 9.

Million Instructions Per Second is a method of measuring the raw speed of a computer's processor. MIPS measures roughly the number of machine instructions that a computer can execute in one second.

Required number of 5 digit numbers can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits are 

5 x 4 x 3 x 2 x 1 = 120.

M.Visweswariah is known as the Father of Indian Engineering.

Father of Indian Printing - James Hickey

Father of Indian Green Revolution - Dr. M.S. Swaminathan

Father of Indian Painting - Nandalal Bose.