41544.If the digit in the units place of a square natural number is 6, then the digit in the tens place will be:
1
3
Even
Odd
41546.If 9x2+3px+6q when divide by 3x+1 leaves a remainder -3/4 and qx2+4px+7 is exactly divisible by x+1, then the values of p and q respectively will be:
0, 7/4
-7/4, 0
Same
7/4, 0
41547.The equations 2x+3y-7=0 and 10x+15y-35=0 are:
Consistent and have unique solution
Consistent and have infinitely many solutions
inconsistent
none of these
41548.The solution of the simultaneous equations (1/2)x + (1/3)y = 2 and x+y=1 is:
x = 0, y = 1
x = 1, y = 0
x = 2/3, y = 3/2
x = 10, y = -9
41549.If the equation x2-2(k+1)x+(9/2)k=0 has two identical roots then the values of k are:
k=1, 2
k=2 or 1/2
k=3, 1/2
none of these
41550.The number which should be subtracted from 5a2-3ab+7b2 to make it equal to a2+ab+b2, is:
4a2-4ab+6b2
4a2-4ab+5b2
4a2+4ab+6b2
4a2-3ab+6b2
None of these
41551.If x = (1/2) (2p+2q-r), y = (1/3) (-p-2q+3r) and z=(1/5) (3p-4r+5q), then the value of 2x-3y-5z is:
0
-q
2
None of these
41557.The correct relationship after eliminating x, y and z from x+y = a, y+z=b and z+x = c and x+y+z = m, is:
m=x+y+z
2m=a+b+c
m=x-y-z
2m=x-y-z
None of these
41558.If r = at2 and s = 2at, the relation among s, r and a is:
s2=4ar
s=ar
s=2ar
s2=ar
None of these
41561.If f(x) = sum of all the digits of x, where x is a natural number, then what is the value of f(101)+f(102)+f(103)+ .. +f(200)?
1000
784
999
1001
41562.Pawan is a very confused person. Once he wrote 1+2+3+4+5+6+7+8+9+10 = 100. In how many places you need to change + with * to make the equality hold good ?
2
4
3
None of these
41565.If a lies between 2 and 3, both included, and b lies between 4 and 6, both included, then what is the ratio of minimum and maximum limits of a2-b2?
-4
4
32/7
- 28/6
41566.If a, b, c are roots of the equation 1x3-4x2+6.5x + 3.5 = 0, then what is the value of a2 + b2 + c2?
1
64
169
3
41569.Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?
1/8
3/4
3/8
2/5
41571.If 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is close to:
0.2695
0.3695
2.695
3.695
41572.In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?
4/7
1/2
2/3
5/6
41573.A, B and C are three students who attend the same tutorial classes. If the probability that on a particular day exactly one out of A and B attends the class is 7/10; exactly one out of B and C attends is 4/10; exactly one out of C and A attends is 7/10. I
46/100
63/100
74/100
99/100
41574.A box contains 10 balls numbered 1 through 10. Anuj, Anisha and Amit pick a ball each, one after the other, each time replacing the ball. What is the probability that Anuj picks a ball numbered less than that picked by Anisha, who in turn picks a lesser n
3/25
1/6
4/25
81/400
41575.A biased die has a probability of 1/4 of showing a 5, while the probability of any of 1, 2, 3, 4, or 6 turning up is the same . If three such dice are rolled, what is the probability of getting a sum of atleast 14 without getting a 6 on any die ?
5/24
9/160
1/30
7/160
41576.A, B, C, D and E play the following game. Each person picks one card from cards numbered 1 through 10. The person who picks the greatest numbered card loses and is out of the game. Now the remaining four return their cards to the pack and draw again, and
3/14
4/17
1/5
5/24
41578.What are the units digits of 369, 6864, 4725 respectively ?
9,6 and 6
6, 6 and 6
3,6 and 4
None of these
41579.A = 11 * 22 * 33 * 44 * 55 * ……..1010. How many zeroes will be there at the end of A ?
6
15
10
None of these
41580.If x = 3 + 31/2, then what is the value of x2 + 9/x2 ?
15 + 3 * 31/2
18 + 3 * 31/2
27 + 3 * 31/2
None of these
41582.The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
1
2
3
4