Quiz 1

Question 1

Time: 00:00:01

if a base 1=139/3, a base 2= -19 and a base k= a base k-1 - a base k-2, then what will be the 62th term in the series? (k, k-1, k-2 are in base)

139/3

19.17%

-19

26.55%

-196/3

27.73%

-19-139/3(-19-196/3)

26.55%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

a1=139/3
a2=-19
a3=a2-a1=-19-139/3=-196/3
a4=a3-a2=-196/3-(-19)=-139/3
a5=a4-a3=-139/3-(-196/3)=57/3
a6=a5-a4=57/3-(-139/3)=196/3
a7=a6-a5=196/3-57/3=139/3=a1
a8=a7-a6=139/3-196/3=-57/3=-19=a2
The series repeats after every 6 numers.
Thus 62nd number=6*10+2=2nd number= -19

Question 2

Time: 00:00:00

If 1/a + 1/b + 1/c = 1 / (a + b + c); where a + b + c 1 0; abc 1 0, then what is the value of ( a + b ) ( b + c ) ( c + a )?

Equal to 0

48.08%

Greater than 0

30.38%

Less than 0

5.90%

Cannot be determined

15.63%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

a)equals 0

when a= -b
then LHS of 1/a + 1/b + 1/c=1/(a+b+c)
1/a + 1/b + 1/c = 1/c = RHS = 1/(a+b+c)

Then a+b=0

hence

(a+b)(b+c)(c+a)=0

Question 3

Time: 00:00:00

In a school 10% students get 70 marks,25% students get 80 marks,15% students get 85 marks,25% students get 90 marks, remaining get 95 marks.the average of students marks is an even number then least number of students?

29.29%

40.36%

100

22.50%

200

7.86%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

Let total no. of students be x.
=> [x(10*70 + 25*80 + 15*85 + 25* 90 + 25*95)/100]/ x = 86
Here, the average is always 86 and does not depend
upon the no. of students.
Hence the answer is the minimum value that is 20.

Question 4

Time: 00:00:00

y=x/(x-k),where k is a constant,and x is real number.show's that....

y increase with an increase in x.

24.19%

y decreases first and then increase the value of x.

31.05%

y increase then decreases with the value of x.

29.96%

it remains constant.

14.80%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

as by putting different values of x at a constant value of k,
we get values of y which first increases and then decreases
with value of x.

Question 5

Time: 00:00:00

if v,w,x,y,z are non negative integer, each less than 11,then how many distinct combinations(w,v,x,y,z) satisfy v(

11^{4}

)+w(

11^{3}

))+x(

11^{2}

))+y(11)+z=151001?

37.18%

41.45%

21.37%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

change151001 to base 11 number .
it will be
10 3 4 10 4

v(11^4) +w(11^3)+ x(11^2)+ y(11) +z=151001
where v=10, w=3,x=4, y=10, z=4

Question 6

Time: 00:00:00

The Range of the function f(x) = (x - 2) / (2 - x) is....

-1 to 1

31.27%

0 to 1

9.27%

-1 to 0

29.34%

None of above

30.12%

Good Job!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

because -(2-x)/(2-x)=-1
-1 is constant which is independent of x, so range is -1.

Question 7

Time: 00:00:00

1/x+1/y=1/z where x=12 and y,z positive integer how many possible values of y and z?

20.50%

15.90%

10.04%

infinity

53.56%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

1/12 = 1/z - 1/y

y = 12 * z / ( 12 - z )

0 < z < 12

Only for z = 3 ,4 ,6 ,8 , 9 ,10 and 11 , y is intiger

Hence seven solutions

Question 8

Time: 00:00:00

The sum of two numbers is 15 and their geometric mean is 20% lower than the arithmetic mean. find the numbers?

11,4

11.44%

12,3

53.39%

9,6

16.53%

none

18.64%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

let a and b are two numbers
so a+b=15 ....(1)
now GM=AM*80/100
or, sqrt(ab)=[(a+b)/2]*80/100
squaring both sides...and after that putting the value of (a+b)...we get.....
ab=36 now go through from option then we get 12*3=36
so answer is (b) 12,3

Question 9

Time: 00:00:00

There are 72 students and 15 teachers in a school excluding principal. The principal has 3-digits odd no. quantities of .toffees and he equally distributes it among students & teachers, he gets 86 Toffees remain. If he distributes among teachers, he gets 14 Toffees remain. . If principal adds himself among teachers, how much coffee(s) will remain?

14.71%

32.84%

24.51%

Can\'t be determined

27.94%

Oops!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

Let T be total number of toffees.
T mod 87=86. So T=87(k1)-1----(1)
T mod 15=14. So T=15(k2)-1----(2)
Here k1,k2 are constants.
Lcm of 87k1,15k2=435k
So total should be 435k-1 and should be odd.
For k=1=>T=434( It is not odd)
For k=2=>T=869 (Yes,It is Odd).
So Total=869.
So 869 mod 16= 5

Question 10

Time: 00:00:00

How many values of c in the equation

x^{2}

)-5x+c result in the rational root which is an integer?

16.19%

27.62%

13.81%

infinity

42.38%

Good Job!

How to use PrepInsta Quiz

PrepInsta Explanation
User Explanation

For equation to have rational roots, Discriminant of the given
equation should be positive and should have value equal
to perfect square .
Now D= b^2 -4ac = 25 - 4c
So to have D positive and perfect square there could be
infinite value of c.

Comments

Cancel reply