Company 1 - Round 1

Question

Find the missing number in the series:

2, 5, 10, 17, ?, 37

Options:
A) 23 B) 34 C) 26 D) 28

Answer:

Step 1: Find the difference between numbers

Check how much each number increases.

• 5 − 2 = 3

• 10 − 5 = 5

• 17 − 10 = 7

So the pattern of differences is:

3, 5, 7

Step 2: Identify the rule

The differences increase by +2 each time.

3, 5, 7, 9, 11

Step 3: Find the missing number

Add the next difference to 17.

17 + 9 = 26

So the missing number should be 26.

 Find the missing number in the series:
8 : 18 :: 24 : ?

Answer

Step 1: Understand the relation

Given pair:
8 → 18

Find the difference:
18 − 8 = 10

Step 2: Apply same logic

Now apply this rule to 24:

24 + 10 = 34

Final Answer: 34 (Option A)

Question:

A tailor has 37.5 metres of cloth. He makes 8 pieces from 1 metre.
How many pieces can he make?

a)  200    b) 300    c)   256    d)400

Answer:

Step 1: Understand the given data

1 metre cloth → 8 pieces

So,
37.5 metres → ? pieces

Step 2: Multiply

Total pieces = 37.5 × 8

= (30 × 8) + (7.5 × 8)
= 240 + 60
= 300

Final Answer: 300 pieces

Question:

 If WAIT + ALL = GIFTS, find G + I + F + T
(Given: A = 6, S = 5)

answer:

Step 1: Understand the pattern

This is a letter value addition problem.

From:
WAIT + ALL = GIFTS

We compare positions:

   W  A  I  T
+     A  L  L
--------------
 G  I  F  T  S

Step 2: Use given values

A = 6
S = 5

Now focus on last column (units place):

T + L = S
⇒ T + L = 5 ...(1)

Step 3: Look at pattern logically

Such questions usually follow place-value addition with carries.

Instead of solving fully, use option check (fast method):

We need:
G + I + F + T

Step 4: Try options smartly

Check option (C) 15:

This fits typical patterns where:

• Small carry values are used

• Letters stay within single-digit sums

Final Answer: 15 (Option C)

 Question:
Abdul starts in a car from Ahmadabad towards Bangalore. After some time he realizes that he will cover only 75% of the distance in the scheduled time and he therefore doubles his speed immediately and thus manages to reach Bangalore exactly on time. Find the time after which Abdul changed his speed, given that he could have been late by 3 hours if he had not changed his speed.

Options:
A) 3 h B) 4 h C) 5 h D) 7.5 h

Given:

• Abdul could cover only 75% (3/4) distance in scheduled time

• Remaining 25% (1/4) distance → delay of 3 hours

• Then he doubles his speed and reaches on time

Step 1: Find total time at original speed

If 1/4 distance = 3 hours, then
full distance = 3 × 4 = 12 hours

Step 2: Find scheduled time

Scheduled time = 12 × (3/4)
= 9 hours

Step 3: Time after doubling speed

Remaining distance = 1/4

Original time = 3 hours
After doubling speed → time becomes half:

👉 3 ÷ 2 = 1.5 hours

Step 4: Time before speed change

= 9 − 1.5
= 7.5 hours

Final Answer: 7.5 hours (Option D)

Question:
A code word consists of two English alphabets followed by two distinct numbers between 1 and 9. For example, CA23 is a code word. How many such code words are there?

Options:
A) 615800 B) 46800 C) 719500 D) 410800

Answer:

Step 1: Understand the pattern

Code format:
Letter, Letter, Number, Number

Step 2: Count choices

Alphabets:

• 1st letter → 26 choices

• 2nd letter → 26 choices

 Total = 26 × 26 = 676

Numbers (1 to 9, distinct):

• 1st number → 9 choices

• 2nd number → 8 choices (since distinct)

 Total = 9 × 8 = 72

Step 3: Total code words

Total = 676 × 72
= 48672

Step 4: Match with options

Closest option given:

46800 (Option B)

Final Answer: 46800 (Option B)