Quants - 10th march
Q1. What is the difference between the 288th and 134th term in the series 1, 2, 2, 3, 3, 3, 4, 4, 4, 4 . . . . . . .?
a. 8 b. 16 c. 24 d. None of these
Q2. Let p and q be the roots of the quadratic equation x^2 – (p-3)x – q- 4 = 0
What is the minimum possible value of p^2 – q^2 ?
a. 10 b. 11 c. 12 d. None of these
Q3. Let x and y denote the height and side respectively of a regular pyramid. Suppose the angle enclosed by the vertex and the adjacent edges is 60 degree. What is the relation between x and y?
a. 2y^2 = x^2
b. 2x^2 = y^2
c. 3y^2 = 2x^2
d. 2y^2 = 3x^2
Q4. 9880 people are forming the world’s largest pyramid. They are standing such that there is 1 man at the top, 3 in the second layer, 6 in the third, 10 in the fourth and so on. The number of horizontal layers possible are
a. 34 b. 38 c. 36 d. 32
Q5. A and B are natural numbers not exceeding 3. How many equations of the form Bx^2 + Ax + B = 0 have real roots?
a. 1 b. 2 c. 3 d. 4
Q6. A number N is divisible by both 6 and 8. It must then be divisible by?
a. 12
b. 24
c. 48
d. more than one of the above
Q7. Ashok got 30% of the maximum marks in an exam and failed by 10 marks. Bala got 40% of the maximum marks in it and got 10 marks more than the pass mark. Find the maximum marks
a. 150 b. 200 c. 100 d. 250
Q8. The HCF of two numbers equals their LCM. What can be said about the numbers?
a. They are prime
b. They are co-prime but not prime.
c. They are equal
d. None of these
n/a
Q7. Ashok got 30% of the maximum marks in an exam and failed by 10 marks. Bala got 40% of the maximum marks in it and got 10 marks more than the pass mark. Find the maximum marks
a. 150 b. 200 c. 100 d. 250
.30x+10=.40x-10
so x=200
Little Star
n/a
Q5. A and B are natural numbers not exceeding 3. How many equations of the form Bx^2 + Ax + B = 0 have real roots?
a. 1 b. 2 c. 3 d. 4
for real roots, b^2-4ac>=0
so a^2-4b^2>=0
if a=2,b=1
a=3,b=1
Little Star
if 0 is counting in natural number then 3 more cases included
n/a
Q8. The HCF of two numbers equals their LCM. What can be said about the numbers?
for this question if we can assume number 5 and3 both have the same HCF and LCM so they r prime also co-prime to eachother
but if we take 77 and 39 then HCF and LCM same but they r not prime but co-prime to eachother
so i think (d) is the right option
Little Star
n/a
Q6. A number N is divisible by both 6 and 8. It must then be divisible by?
a. 12
b. 24
c. 48
d. more than one of the above
LCM of 6 and 8 --> 24
ao N divisible by 12 and 24
So (D) is the ans
Little Star
n/a
Sum of the roots = p + q = (p-3)
=> q =-3
And product of the roots = pq = -q-4
=>-3p = -1
=> p = 1/3
So p + q = -8/9
And p – q =10/3
So p^2 – q^2 = -80/27
Q4. 9880 people are forming the world’s largest pyramid. They are standing such that there is 1 man at the top, 3 in the second layer, 6 in the third, 10 in the fourth and so on. The number of horizontal layers possible are
a. 34 b. 38 c. 36 d. 32
here is the sequence is 1 3 6 10 15 21 28 36 45 55
if we see the 55, 55 is the summation of first 10 number
45, 45 is the summation of first 9 number
means for particular number n=n(n+1)/2
so total sum of n number is=(1/2)(n^2+n)
=1/2[n(n+1)(2n+1)/6 + (n(n+1)/2)]
=1/12[n(n+1)(2n+1)+3n^2+3n]...........(1)
if we put 38 in eq(1) then ans=9880
Little Star
n/a
Q3. Let x and y denote the height and side respectively of a regular pyramid. Suppose the angle enclosed by the vertex and the adjacent edges is 60 degree. What is the relation between x and y?
a. 2y^2 = x^2
b. 2x^2 = y^2
c. 3y^2 = 2x^2
d. 2y^2 = 3x^2
me r getting ans(c)
any one tell me is that right or wrong?
Little Star
n/a
Q8. The HCF of two numbers equals their LCM. What can be said about the numbers?
According to jeegar
"for this question if we can assume number 5 and3 both have the same HCF and LCM so they r prime also co-prime to eachother"
NW my qs is "HCF Of 3 nd 5 is 1 but LCM is 15" hw they can be equal....
So accordin to me only if the two no.s r equal.....
So OPTION (C) is Correct.....
GIV UR BEST TO THE WORLD....
ND D BEST WILL CM BACK TO U.....
Regards,
Dipanjan.....
n/a
n(n+1) / 2 = (near to and shd be greater than) 288
=> n = 24
So the 288th term is 24
Similarly, the 134th term is 16
So the difference = 8
n/a
n/a