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The Maximum No Of Points Into Which 4 Circles And 4 Straight Lines Intersect Is

1) 26 2) 56 3) 50 4) 72 Answer: (3) 50 Solution: 4 straight lines intersects in 4C2 = 6 points 4 circles intersects in 4P2 = 12 points... View Article

A Five Digit Number Divisible By 3 Is To Be Formed Using The Digit 012345 Without Repetition

1) 216 2) 184 3) 256 4) 225 Answer: (1) 216 Solution: A number is divisible by 3, if the sum of all its digits is divisible by 3.... View Article

Six Xs Are To Be Placed In The Square Each Row Contain Atleast One X The Number Of Ways

1) 18 2) 22 3) 26 4) 30 Answer: (3) 26 Solution: Row 1 has 2 squares, Row 2 has 4 squares and Row 3 has 2 squares There are 4... View Article

In A Certain Test Ai Students Gave Wrong Answers To Atleast I Questions Where I 123k

1) a1+a2+...+ak 2)a1+2a2+...+kak 3) a1+a2+...+ak-k 4) k/2(k+1) Answer: (1) a1+a2+...+ak Solution: Total number of students who gave wrong... View Article

Number Of Numbers Greater Than 3000 Which Can Be Formed By Using The Digits 012345

1) 1240 2) 1280 3) 1320 4) 1380 Answer: (4)1380 Solution: 4 digit numbers greater than 3000 = 3 x 5 x 4 x 3 = 180 5 digit numbers greater... View Article

If The Coefficient Of 5th 6th And 7th Terms Of The Expansion Of 1xn Are In Ap Then N Is

1) 5 2) 6 3) 7 4) 8 Answer: (3) n = 7 Solution: Coefficient of 5th, 6th, 7th term in A. P. → nC4, nC5, nC6 nC4 + nC6 = 2 ∙ nC5 [5... View Article

The Number Of Arrangements That Can Be Made Out Of The Letter Of The Word Success

1) 60 2) 120 3) 360 4) 420 Answer: (3) 360 Solution: There are 7 letters in the words SUCCESS Total number of arrangements = 7!/3!.2!... View Article

How Many Different Nine Digit Numbers Can Be Formed From The Number 223355888

1) 16 2) 4 3) 60 4) 5 Answer: 60 Solution: In a nine digit number, we have four even positions and five odd positions alternatively.... View Article

If Ncr Ncr1 And Npr Npr1 Then The Value Of N Is

1) 3 2) 4 3) 2 4) 5 Answer: (1) 3 Solution: Given, nCr = nCr-1 r+r-1 = n 2r-n = 1 ……(i) nPr = nPr+1 n!/(n-r)! = n!/(n-r-1)! 1/n-r =... View Article

If an = ∑(1/nCr) for (n = 0→n) then ∑(r/nCr) for (n = 0→n) equals:

1) (n-1)an 2) nan 3) (n/2)an 4) None of these Answer: (3) (n/2)an Solution: By nCr = nCn-r, we have; x = nan - b 2x = nan x... View Article

How Many Words Can Be Formed By Taking Four Different Letters Of The Word Mathematics

1) 756 2) 1680 3) 2454 4) 18 Answer: (3) 2454 Solution: There are 11 letters in total in word MATHEMATICS Repeated letters: 2M’S, 2T’s,2A’s... View Article

Sum Of All Possible Numbers Greater Than 10000 Formed By Using The Digits From 13579 Is

1) 666600 2) 6666600 3) 66666600 4) None of these Answer: (2) 6666600 Solution: Total numbers that can be formed using {1,3,5,7,9} greater... View Article

N Books Are Arranged On A Shelf So That Two Particular Books Are Not Next To Each Other

1) 5 2) 6 3) 10 4) 8 Answer: (2) 6 Solution: Total number of arrangements of n books = n! If two particular books are together, then =... View Article

The Least Positive Integer N For Which N1c5 N1c6 Nc7 Is

1) 14 2) 15 3) 16 4) 28 Answer: (2) 14 Solution: n-1C5 + n-1C6 < nC7 nC6 < nC7 n!/[6!(n-6)!] = n!/[7!(n-7)!] 1/(n-6) < 1/7... View Article

Number Of Ways Of Selecting 10 Balls Out Of An Unlimited Number Of White Red Blue Green

1) 256 2) 286 3) 84 4) none of these Answer: (2) 286 Solution: We have four types of balls here: white, red, blue, and green balls We need... View Article

The Total Number Of Positive Solutions Zero Included Of X Y Z W 20 Without Restrictions Is

1) 1771 2) 1558 3) 1328 4) none of these Answer: (1) 1771 Solution: Given, x+y+z+w = 20 20 is divided in four groups here Now if we... View Article

How Many Integral Solutions Are There To Xyzt29 When X 1y 1z 3 And T 0

1) 29C3 2) 26C3 3) 23C3 4) 21C3 Answer: (3) 26C3 Solution: Given, x+y+z+t=29 and x,y,z,t are integers x≥1,y≥2,z≥3,t≥0... View Article

Coaching Institute Has Students In 3 Batches X Y Z In Certain Examination Average Marks Obtained

1) 59 2) 61.6 3) 63.5 4) 64.7 5) 65 Answer: (4) 64.7 Solution: y = 6x Z = 7x x = y Now as per the given statement, 69 (y+6x) = 72y + 60... View Article

Sides Ab Bc Ca Of Triangle Abc Have 3 4 5 Interior Points Find The Number Of Triangles

1) 144 2) 225 3) 205 4) none of these Answer: (3) 205 Solution: Total number of points = 3+4+5 = 12 Except for the points that are... View Article

Find The Number Of Point Xy Having Integral Coordinates Satisfying The Condition X2y225

1) 81 2) 12 3) 66 4) 69 Answer: (4) 69 Solution: Given, x2 + y2 <25 x and y can have possible values between (0,±1,±2,±3,±4) Therefore,... View Article