# Mathematics-Arithmetic (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 7 - 12 of 12

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## Question number: 7

» Mathematics » Arithmetic

MCQ▾

### Question

Two pipes A and B can separately fill a tank in 12 min and 15 min, respectively. Both the pipes are opened together but 4 min after pipe A is turned off. How much time does pipe B will take to fill the tank?

### Choices

Choice (4) Response

a.

6 min

b.

11 min

c.

12 min

d.

8 min

## Question number: 8

» Mathematics » Arithmetic

MCQ▾

### Question

Ravi and Sneh working separately can finish a job in 8 and 12 h, respectively. If they work for an hour alternatively, then Ravi beginning at 9: 00 am. When will the job be finished?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 9

» Mathematics » Arithmetic

MCQ▾

### Question

For a positive integer n, define d (n) = the number of positive divisors of n. What is the value of d (d (d (12) ) )?

### Choices

Choice (4) Response

a.

1

b.

2

c.

4

d.

None of the above

## Question number: 10

» Mathematics » Arithmetic

MCQ▾

### Question

The sum of all two-digit numbers each of which leaves remainder 3 when divided by 5 is

### Choices

Choice (4) Response

a.

999

b.

1064

c.

1120

d.

952

## Question number: 11

» Mathematics » Arithmetic

MCQ▾

### Question

A train T1 leaves a place P at 5 am and reaches another place Q at 9 am another train T2 leaves the place Q at 7 am and reaches the place P at 10: 30 am. The time at which the two trains cross each other is

### Choices

Choice (4) Response

a.

8: 26 am

b.

8 am

c.

7: 56 am

d.

8: 15 am

## Question number: 12

» Mathematics » Arithmetic

MCQ▾

### Question

For what value of k, the following system of equations and represent coincident lines?

### Choices

Choice (4) Response

a.

12

b.

13

c.

10

d.

11

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