2
Q:

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :

A) 253 B) 263
C) 273 D) 283

Answer:   A) 253



Explanation:

Let the middle digit be x.

Then, 2x = 10 or x = 5. So, the number is either 253 or 352

Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit.

Hence, required number = 253.

Q:

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ?

A) 0 B) 2
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

Explanation:

Given 

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1

Using BODMAS Rule,

As multiplication precedes addition, 1 x 0 = 0, 

Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.

 

Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

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1 11
Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420 B) 210
C) 70 D) 35
 
Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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0 24
Q:

What is the common ratio of the following geometric sequence?

4, 2, 1, 0.5, 0.25, 0.125,...

A) 0.5 B) -1
C) 1.5 D) -0.5
 
Answer & Explanation Answer: A) 0.5

Explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

 

Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...

Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

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1 133
Q:

What is the place value of 6 in 64?

A) 6 B) 60
C) 64 D) 10
 
Answer & Explanation Answer: B) 60

Explanation:

We know that,

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place).

 

Hence, the place value of 6 in 64 = 6 x 10 = 60.

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8 1060
Q:

Which one of the following is not a prime number?

A) 91 B) 71
C) 41 D) 31
 
Answer & Explanation Answer: A) 91

Explanation:

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

 

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

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5 521
Q:

There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number?

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

Explanation:

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

x + 32 - x - 32 = 396 x2 + 9 + 6x - x2 + 6x - 9 = 396 12x = 396 x = 33

 

Hence, the smallest odd number is 33 - 4 = 29.

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4 548
Q:

What are the Multiples of 6 and the Common Multiples of 4 and 6?

A) 12, 34, 42 B) 12, 18, 36,
C) 6, 4, 14 D) 4, 8, 16
 
Answer & Explanation Answer: B) 12, 18, 36,

Explanation:

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

multiples_4_61517468047.jpg image

The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

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8 504
Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5 B) 9, 3
C) 8, 4 D) 6, 6
 
Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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