### Product of digits

How many numbers with distinct digits are possible product of whose digits is 28?

- 6
- 4
- 8
- 12

**Correct Answer**Choice (C).

8 Correct answer- Explanatory Answer
- Product of digits
- Medium

### Sum of first n natural numbers

A page is torn from a novel. The sum of the remaining page numbers is 10000. What is the sum of the two page-numbers on the torn page of this novel?

- 77 and 78
- 33 and 34
- 8 and 9
- None of these

**Correct Answer**Choice (D).

None of these Correct answer- Explanatory Answer
- n(n+1)/2
- Medium

### Perfect Square

A 4-digit number of the form aabb is a perfect square. What is the value of a - b?

- 3
- 2
- 4
- 1

**Correct Answer**Choice (A).

3 Correct answer- Explanatory Answer
- Square of the form aabb
- Hard

### Last two digits

What are the last two digits of the number 7

^{45}?- 07
- 23
- 49
- 43

**Correct Answer**Choice(A).

07 Correct answer- Explanatory Answer
- Remainder
- Medium

### Multiples

n

^{2}+ 5n + 6 is a multiple of 6. n is natural number less than 100. How many values can n take?- 33
- 65
- 66
- 67

**Correct Answer**Choice (C).

66 Correct answer- Explanatory Answer
- Multiples of 6
- Medium

### Greatest integer function

[x] is the greatest integer less than or equal to x. Find the number of positive integers n such that .

- 31
- 25
- 35
- 40

**Correct Answer**Choice (C).

35 Correct answer- Explanatory Answer
- Greatest integer function
- Medium

### Medians, Number

Positive numbers 1 to 55, inclusive are placed in 5 groups of 11 numbers each. What is the maximum possible average of the medians of the 5 groups?

- 34
- 28
- 35
- 38

**Correct Answer**Choice (D).

38 Correct answer- Explanatory Answer
- Median, logical
- Medium

### 44

^{th}digit of a numberN is an 80-digit positive integer (in the decimal scale). All digits except the 44

^{th}digit (from the left) are 2. If N is divisible by 13, find the 26^{th}digit?- 5
- 6
- 1
- 2

**Correct Answer**Choice (B).

6 Correct answer- Explanatory Answer
- Test of divisibility
- Hard

### Divisibility of powers

A number 4

^{16}+ 1 is divisible by x. Which among the following is also divisible by x?- 4
^{96}+ 1 - 4
^{32}+ 1 - 4
^{8}+ 1 - 4
^{48}+ 1

**Correct Answer**Choice (D).

4^{48}+ 1 Correct answer- Explanatory Answer
- Divisibility of powers
- Medium

- 4
### Test of Divisibility

Which among the following is the smallest 7 digit number that is exactly divisible by 43?

- 1000043
- 1000008
- 1000006
- 1000002

**Correct Answer**Choice (B).

Correct answer- Explanatory Answer
- Test of Divisibility
- Medium

### Three digit number combinations

How many 3-digit positive integers, with digits a, b and c exist such that a < b and c < b? Assume that a is in hundred's place, b is in ten's place, c is in unit's place and a is a non-zero digit.

- 450
- 240
- 364
- 648

**Correct Answer**Choice (B).

Correct answer- Explanatory Answer
- Three digit number combinations
- 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