### Number Theory - HCF LCM

How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080?

- 8
- 7
- 9
- 12

**Correct Answer**Choice (C).

9 Correct answer- Explanatory Answer
- HCF LCM
- Hard

### Number Theory - Remainders LCM

Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?

- 2519
- 5039
- 1079
- 979

**Correct Answer**Choice (A).

2519 Correct answer- Explanatory Answer
- Remainders and LCM
- Medium

### HCF LCM - Theory

There are three numbers a,b, c such that HCF (a, b) = l, HCF (b, c) = m and HCF (c, a) = n. HCF (l, m) = HCF (l, n) = HCF (n, m) = 1. Find LCM of a, b, c. (The answer can be "This cannot be determined").

**Correct Answer**Cannot be determined Correct answer- Explanatory Answer
- HCF LCM, tough algebraic qn
- Hard

### HCF basics

How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?

- 12
- 8
- 15
- 30

**Correct Answer**Choice (C).

15 Correct answer- Explanatory Answer
- HCF basics
- Medium

### HCF LCM

How many pairs of positive integers x, y exist such that HCF (x, y) + LCM (x, y) = 91?

- 10
- 8
- 6
- 7

**Correct Answer**Choice (B).

8 Correct answer- Explanatory Answer
- HCF LCM
- Hard

### HCF basics

Sum of two numbers x, y = 1050. What is the maximum value of the HCF between x and y?

- 350
- 700
- 1050
- 525

**Correct Answer**Choice (D).

525 Correct answer- Explanatory Answer
- HCF basics
- Medium

### HCF basics

The sum of two non co–prime numbers added to their HCF gives us 91. How many such pairs are possible?

- 2
- 4
- 3
- 6

**Correct Answer**Choice (C).

3 Pairs Correct answer- Explanatory Answer
- HCF basics
- Medium

### HCF LCM basics

There are 2 numbers such that a > b, HCF (a, b) = h and LCM (a, b) = l. What is the LCM of a – b and b?

- l
- (a - b) b
- (a - b) b / h
- h (a - b)

**Correct Answer**Choice (C).

(a - b) b / h Correct answer- Explanatory Answer
- HCF LCM basics
- Medium

### No of sweet boxes

6 different sweet varieties of count 32, 216, 136, 88, 184, 120 were ordered for a particular occasion. They need to be packed in such a way that each box has the same variety of sweet and the number of sweets in each box is also the same. What is the minimum number of boxes required to pack?

- 129
- 64
- 48
- 97

**Correct Answer**Choice (D).

97 Correct answer- Explanatory Answer
- No of sweet boxes
- Easy

### Minimum number of students

In a large school auditorium, the students are made to sit to watch the programmes. If the teachers make a row of students of 16 each, there will be 12 students left. If they make rows of 24 each, then there will be 20 students left, if they make rows of 25 each, there will be 21 students left and if they make rows of 30 each, there will be 26 students left. What is the minimum number of students present in the school?

- 1216
- 1784
- 1196
- 2396

**Correct Answer**Choice (C).

1196 Correct answer- Explanatory Answer
- Minimum number of students
- Medium

### Sum of the digits

LCM of 2 natural numbers p and q where p > q is 935. What is the maximum possible sum of the digits of q?

- 1
- 8
- 5
- 2

**Correct Answer**Choice (B).

8 Correct answer- Explanatory Answer
- Sum of the digits
- Medium

### Number of Carpenters

4 logs of woods of lengths 5 1/4 m, 1 13/15 m, 3 1/2 m and 4 9/10 m are cut into small pieces, all of which have equal length. Each piece of wood is as lengthy as possible. Each cut piece is given to a set of 2 carpenters to work on something. How many carpenters are there in all to work?

- 148
- 210
- 332
- 266

**Correct Answer**Choice (D).

266 Correct answer- Explanatory Answer
- Number of carpenters
- Medium

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- Percents Profits & Interests
- DI - Bar Graphs
- Geometry
- VA - Sentence Rearrangement
- Speed Time Races
- DI - Pie Charts
- Coordinate Geometry
- VA - Sentence Elimination
- Ratio Mixtures, Averages
- DI - Multiple Graphs
- Trigonometry
- VA - Sentence Correction
- Logarithms and Exponents
- DI - Word Problems
- Mensuration
- VA - Para Completion
- Pipes Cisterns
- DI - Line Graphs
- Permutation; Probability
- VA - Text Completion