1.

Can you find the the missing number in the below series

117, 90, 63, X , 9, -18

**Answer: Option 'A'**

**The given series is -- 117, 90, 63, X , 9, -18
Consequtive numbers decreases by 27
Following this pattern, the Missing Number X should decrease by 27 from the previous number.
When we subract 27 to the number before X (i.e 63) we get 63--27=36**

2.

What is the diffference between the place value and face value of 3 in the numeral 1375?

**Answer: Option 'C'**

**place value of 3 = 3 × 100 = 300
face value of 3 = 3
300 - 3 = 297**

3.

On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

**Answer: Option 'C'**

**Let X be the number and y be the quotient. Then, X = 357 x y + 39 =(17x21xy)+(17x2)+5 =17 x (21y+2)+5 So, required number = 5**

4.

Find the greatest five digit number that is exactly divisible by 7, 10, 15, 21 and 28

**Answer: Option 'C'**

**The number should be divisible by 10 (2, 5), 15 (3, 5), 21 (3, 7), and 28 (4, 7).
Hence, it is enough to check whether the number is divisible by 3, 4, 5 and 7.
**

5.

3 + 33 + 333 + 3.33 = ?

**Answer: Option 'A'**

**3 + 33 + 333 + 3.33 ------ 372.33 ------**

6.

Find the LCM of 42 , 20?

**Answer: Option 'D'**

**The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices is divisble by both the numbers. If any choice doesnâ€™t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.**

7.

If the product of two successive positive integers is 5328, which is the smallest integer?

**Answer: Option 'B'**

**72 x 74 = 5328**

8.

In the given series, can you find the Missing number ?

117, 94, 71, X , 25, 2

**Answer: Option 'D'**

**The given series is -- 117, 94, 71, X , 25, 2
Consequtive numbers decreases by 23
Following this pattern, the Missing Number X should decrease by 23 from the previous number.
When we subract 23 to the number before X (i.e 71) we get 71--23=48**

9.

If the number 97215 × 6 is completely divisible by 11, then the smallest whole number in place of × will be:

**Answer: Option 'C'**

**Given number = 97215 x 6 (6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11. x = 3**

10.

Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?

**Answer: Option 'C'**

**Let the number that Anita wanted to multiply be x. She was expected to find the value of 35x. Instead, she found the value of 53x. The difference between the value that she got (53x) and what she was expected to get (35x) is 540. i.e., 53x – 35x = 540 => or (53 - 35) × x = 540 => x = 30 Therefore, the correct product = 53 × 30 = 1590**

11.

Let N be the sum of first 100 natural numbers, then N is divisible by

**Answer: Option 'C'**

**N= 1 + 2 + … + 100 = 100 x (101/2) = 50 x 101 => N is divisible by 2 only**

12.

How many numbers from 10 to 100 are exactly divisible by 9.

**Answer: Option 'C'**

**10/9 = 1 and 100/9 = 11 ==> 11 - 1 = 10. Therefore 10 digits.**

13.

Which of the following numbers is divisible by each one of 3, 7, 9 and 11?

**Answer: Option 'B'**

**Given
639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.
So, 2079 is a correct answer.**

14.

( 112 x 5^{4}) = ?

**Answer: Option 'B'**

**(112 x 5 ^{4}) = 112 x ( 10/2 )^{4} = 112 x 10^{4} / 2^{4} = 1120000 / 16 = 70000**

15.

Which one of the following numbers is completely divisible by 45 ?

**Answer: Option 'A'**

**45 = 5 x 9, where 5 and 9 are co-primes.
Unit digit must be 0 or 5 and sum of digits must be divisible by 9.
Among given numbers, such number is 202860.**

16.

Which one of the following is not a prime number?

**Answer: Option 'B'**

**91 is divisible by 7. So, it is not a prime number.**

17.

How many numbers from 29 to 79 are exactly divisible by 11.

**Answer: Option 'A'**

**29/11 = 2 and 79/11 = 7 ==> 7 - 2 = 5 Numbers**

18.

Output of a particular program follows the below pattern. Can you find the next number ?

173, 151, 129, 107, _____

**Answer: Option 'D'**

**The given series is -- 173, 151, 129, 107
Consequtive numbers decreases by 22
Following this pattern, the Missing Number should decrease by 22 from the previous number.
When we subract 22 to the last number (i.e 107) we get 107-22 = 85**

19.

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

**Answer: Option 'D'**

**Let the ten's digit be x and unit's digit be y.
Then, x + y = 15 and x - y = 3 or y - x = 3.
Solving x + y = 15 and x - y = 3,
we get: x = 9, y = 6.
Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9.
So, the number is either 96 or 69. Hence, the number cannot be determined**

20.

A number when divided by 216 leaves remainder 36 and the value of the quotient is 11. Find the number

**Answer: Option 'A'**

**Number = Divisor x Quotient + Remainder = 216 x 11 + 36 = 2376 + 36 = 2412**

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