3
Q:

There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ?

A) 32 B) 24
C) 26 D) 38

Answer:   A) 32



Explanation:

Let the first number be K and second number be L
Then, 2K + 3L = 100.....(1)
3K + 2L = 120.......(2)
solving (1)&(2), we get
K = 32 and L = 12

Hence the largest number is 32.

Q:

 7, 16, 36, 78, 144, ?

which number come in place of question mark

A) 168 B) 196
C) 222 D) 256
 
Answer & Explanation Answer: C) 222

Explanation:
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0 106
Q:

Which of the following is a rational number?

A) 0.241 B) 1.732
C) 4 D) All of the above
 
Answer & Explanation Answer: C) 4

Explanation:

Any number which can be expressed as a fraction of two integers like P & Q as P/Q where Q is not equal to zero.

Every integer is a rational number since Q can be 1.

 

Hence, in the given options, 4 can be expressed as a simple fraction as 4/1. And all other options cannot be expressed as fractions.

 

Hence, 4 is a rational number in the given options.

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1 330
Q:

Which expression is equivalent to i233?

A) i B) 1
C) -i D) -1
 
Answer & Explanation Answer: A) i

Explanation:

We know that,

i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

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3 887
Q:

The product of a number and its multiplicative inverse is

A) 1 B) 0
C) -1 D) Infinity
 
Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

 

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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2 634
Q:

25 divided by 7

A) 3.571 B) 35.71
C) 0.351 D) 0.0357
 
Answer & Explanation Answer: A) 3.571

Explanation:

Here we have 25 divided by 7.

25 will not go directly in 7

Hence, we get the result in decimals.

25/7 = 3.571.

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3 601
Q:

Which of the following is not a prime number?

A) 5 B) 11
C) 21 D) 37
 
Answer & Explanation Answer: C) 21

Explanation:

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

 

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

 

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

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2 429
Q:

What are the Multiples of 4?

Answer

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 upto 40. Mutiples of 4 means which can be divided by 4 leaving remainder '0'.


Common Multiples of 4 & 6 are 12, 24, 36, 48, 60 upto 60.

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5 963
Q:

The sum of three consecutive odd numbers is 93. What is the middle number?

A) 31 B) 33
C) 29 D) 27
 
Answer & Explanation Answer: A) 31

Explanation:

Let the three consecutive odd numbers be x, x+2, x+4

Then,

x + x + 2 + x + 4 = 93

=> 3x + 6 = 93

=> 3x = 87

=> x = 29 => 29, 31, 33 are three consecutive odd numbers.

 

Therefore, the middle number is 31.

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9 2363