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Questions >> NTSE X >> Scholastic Aptitude Test (SAT) >> Math

If the sum S of three consecutive even numbers is a perfect square between 200 and 400,then the square root of S is

answered Jul 17, 2018 by sonumaths4242

2 answers

$x=3+\sqrt 8$ ,then $x^4+\large\frac{1}{x^4}$ is

answered Nov 25, 2014 by sreemathi.v

1 answer

AB is a chord of a circle S subtending an angle of $20^{\large\circ}$ at the centre.Suppose AB has length 1008 units and CD is another chord having length 1512 units,then the angle subtended by CD at the centre is

answered Nov 25, 2014 by sreemathi.v

1 answer

It is given that there are 6 straight lines in a plane so that no three of them are concurrent and no two are parallel.Then the number of points of intersection among the given six straight lines is

answered Nov 25, 2014 by sreemathi.v

1 answer

The circle $S_1$ has centre $(1,2)$ and radius 3,the circle $S_2$ has centre at $(9,8)$ and radius 7.The circle $S_1$ and $S_2$ touch at the point whose coordinates are

answered Nov 25, 2014 by sreemathi.v

1 answer

ABC is a triangle with vertices $A(1,2),B(\pi,2),C(1,\pi)$ then the orthocenter of the $\triangle ABC$ has coordinates

answered Nov 25, 2014 by sreemathi.v

1 answer

The value of $\sin^25^{\large\circ}+\sin^210^{\large\circ}+\sin^215^{\large\circ}+.....+\sin^290^{\large\circ}$ is

answered Nov 24, 2014 by sreemathi.v

1 answer

If $\sec\theta+\cos \theta=\sqrt 5$ ,the value of $\sec^2\theta+\cos^2\theta$ is

answered Nov 24, 2014 by sreemathi.v

1 answer

The perimeter and area of a sector are $18$ cm and $20$ sq.cm respectively.Then the length of the arc is

answered Nov 24, 2014 by sreemathi.v

1 answer

If each side of a rectangle is increased by $20\%$ ,then the percentage increase in its area is

answered Nov 24, 2014 by sreemathi.v

1 answer

If $A=\begin{pmatrix}a&b\\c&d\end{pmatrix}$ where $a,b,c,d \in R$ such that $AB=BA$ for each $2\times 2$ matrix $B$ ,then $b^2+c^2$

answered Nov 24, 2014 by sreemathi.v

1 answer

A natural number $K$ is chosen from the set $\{1,2,3,....100\}$ .The probability that it is prime is

answered Nov 24, 2014 by sreemathi.v

1 answer

The mean of 16 numbers is $48$ .If each number is divided by 4 and diminished by 3,then the new mean is

answered Nov 24, 2014 by sreemathi.v

1 answer

The numbers are arranged in the descending order : $108,94,88,82,x+7,x-7,60,58,42,39$ .If the median is $73$ ,the value of $x$ is

answered Nov 24, 2014 by sreemathi.v

1 answer

The units digit in the decimal expansion of $7^{25}$ is

answered Nov 24, 2014 by sreemathi.v

1 answer

It is given that there is no solution to the system $x+2y=3,ax+by=4$ .Which one of the following is true?

answered Nov 24, 2014 by sreemathi.v

1 answer

Suppose that a quadratic polynomial $x^2+bx+1 \in R$ ,has two zeroes which are both real then which one of the following is necessarily true?

answered Nov 24, 2014 by sreemathi.v

1 answer

Given that $P(x)$ and $Q(x)$ are polynomials of degree 3 with real coefficients,which one of the following is not true?

answered Nov 24, 2014 by sreemathi.v

1 answer

The sum of the first K natural numbers is A,for a certain $K > 1$ ,the sum of their cubes is B,then $\log_{\sqrt A}B$ is

answered Nov 24, 2014 by sreemathi.v

1 answer

Let N be the set of natural numbers and P be the set of prime integers in N.If $A=\{n/n\in N,n$ is a multiple of some prime $P\in P$ ,then $N-A=\{n\in N/n\in A\}$ is

answered Nov 24, 2014 by sreemathi.v

1 answer

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