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OTI365 - NTSE - X Standard
NTSE SAT Mathematics - Number System Practice Questions

NTSE SAT Mathematics - Number System

Exam Duration: 45 Mins Total Questions : 30

1 )

The value of \((0.34\overline { 67 } +0.13\overline { 33 } )\) is equal to

(a)
\(0.4\overline { 8 } \)
(b)
\(0.\overline { 48 } \)
(c)
\(0.48\overline { 01 } \)
(d)
0.48

2 )

About the number of pairs which have 16 as their HCF and 136 as their LCM,we can defiantly say that

(a)
No such pair exists
(b)
only one such pair exists
(c)
only two such pair exists
(d)
many such pair exists.

3 )

Find the least number which when divided by 16,18,20 and 25 leaves 4 as remainder in each case, but. when divided by 7 leaves no remainder

(a)
17004
(b)
18000
(c)
18002
(d)
18004

4 )

The HCF and LCM of two numbers are 84 and 21 respectivelyI.f the ratio of the two number is 1:4, then the larger of two number is

(a)
12
(b)
48
(c)
84
(d)
108

5 )

If the unit digit is the product (459 \(\times\) 46 \(\times\) 28* \(\times\) 484) is 2, the digit in place of * is

(a)
3
(b)
5
(c)
7
(d)
none of these

6 )

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If remainder is 46, then dividend is

(a)
4236
(b)
4306
(c)
4336
(d)
5336

7 )

The least number which is a perfect square and is divisible by each of the number 16,20 and 24 is

(a)
1600
(b)
3600
(c)
6400
(d)
14400

8 )

The number of zeroes at the end of 35²⁵\(\times\) 20¹² is

(a)
34
(b)
24
(c)
15
(d)
none of these

9 )

Which one of the following has rational square root?

(a)
0.4
(b)
0.09
(c)
0.9
(d)
0.025

10 )

\(\frac { \sqrt { 7 } +\sqrt { 5 } }{ \sqrt { 7 } -\sqrt { 5 } } \) is equal to

(a)
1
(b)
2
(c)
6-\(\sqrt{35}\)
(d)
6+\(\sqrt{35}\)

11 )

IfX=(7-4\(\sqrt3\)) then value of \(\left( x+\frac { 1 }{ x } \right) \) is

(a)
3\(\sqrt3\)
(b)
8\(\sqrt3\)
(c)
14
(d)
14+8\(\sqrt3\)

12 )

\(\sqrt [ 3 ]{ 4\frac { 12 }{ 125 } } =?\)

(a)
1\(\frac{2}{5}\)
(b)
1\(\frac{3}{5}\)
(c)
1\(\frac{4}{5}\)
(d)
2\(\frac{2}{5}\)

13 )

How many two - digit number satisfy this property. The last digit or units digit of the square of the two-digit number is 8 ?

(a)
1
(b)
3
(c)
4
(d)
none of these

14 )

Whatis the HCF of any two prime numbers?

(a)
1
(b)
2
(c)
3
(d)
4

15 )

The total number of prime factors in the expression
( 4)¹¹ \(\times\) ( 7)⁵\(\times\) (11)² is

(a)
30
(b)
29
(c)
28
(d)
31

16 )

The total number of factors of 91 is

(a)
3
(b)
4
(c)
5
(d)
6

17 )

What least value must be assigned to * so that the number 197 * 5462 is divisible by 9?

(a)
3
(b)
2
(c)
4
(d)
5

18 )

The units digit of 7⁷¹ is

(a)
2
(b)
4
(c)
3
(d)
5

19 )

The last digit of the number (196)⁴²⁴

(a)
6
(b)
7
(c)
8
(d)
9

20 )

Which of the following g is the statement of fundamental theorem of arithmetic?

(a)
Given positive integers a and b. there exists unique integers q and r satisfying a=bq+r, 0≤r<b
(b)
Every composite number can b-e expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur,
(c)
For any two positive integers a and b
HCF (a,b)\(\times\)LCM(a,b)=a\(\times\)b
(d)
None of these

21 )

If \(\frac { 1 }{ 3.718 } \) = 0.2689, then find the value of \(\frac { 1 }{ 0.0003718 } \)

(a)
2.689
(b)
26.89
(c)
2689
(d)
none of these

22 )

What will come in the place of question mark?
0.006 + ? = 0.6

(a)
1
(b)
0.001
(c)
0.01
(d)
none of these

23 )

What is the difference between the biggest and the smallest fraction among \(\frac { 2 }{ 3 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 5 } and\quad \frac { 5 }{ 6 } \)