Placement Written test paper for MNC || Math questions and answers Part –6

Ques 251 : Choose the correct answer.
If a, b, c, d, e are five consecutive odd numbers, their average is:
Option 1 : 5 (a + 4) Option 2 : (abcde/5) Option 3 : 5 (a + b + c + d + e) Option 4 : None of these

Ques 252 : Choose the correct answer.
(x % of 932) + 30 = 309.6
Find x.
Option 1 : 25 Option 2 : 30 Option 3 : 35 Option 4 : 40

Ques 253 : Choose the correct answer.
Which of the following multipliers will cause a number to be increased by 29.7% ?
Option 1 : 1.297 Option 2 : 12.97 Option 3 : 129.7 Option 4 : 1297

Ques 254 : Choose the correct answer.
If 2A = 3B and 4B = 5C, then A: C is:
Option 1 : 4 : 3 Option 2 : 8 : 15 Option 3 : 15 : 8 Option 4 : 3 : 4

Ques 255 : Choose the correct answer.
0.4777 . . . is the recurring decimal for the fraction:
Option 1 : 4777/100000 Option 2 : 477/100 Option 3 : 437/1000 Option 4 : 43/90

Ques 256 : Choose the correct answer.
0.8888 ÷ 0.011 is equal to:
Option 1 : 8.08 Option 2 : 80.8 Option 3 : 0.808 Option 4 : None of these

Ques 257 : Choose the correct answer.
The ascending order of rational numbers -7/10, 5/-8, 2/-3 is:
Option 1 : -7/10, 2/-3, 5/-8 Option 2 : -7/10, 5/-8, 2/-3 Option 3 : 5/-8, -7/10, 2/-3 Option 4 : 2/-3, 5/-8, -7/10

Ques 258 : Choose the correct answer.
If A is real and 1 + A + A2 + A3 = 40, then A is equal to:
Option 1 : -3 Option 2 : -1 Option 3 : 1 Option 4 : 3

Ques 259 : Choose the correct answer.
(1 + 3 + 5 + … + 3983) / 1992 = ?
Option 1 : 1988 Option 2 : 1992 Option 3 : 1990 Option 4 : None of these

Ques 260 : Choose the correct answer.
Which one of the following should be added to 25p2 + 16q2, so that the resulting sum becomes a perfect square?
Option 1 : 20pq Option 2 : 30pq Option 3 : 40pq Option 4 : 50p2q2

Ques 261 : Choose the correct answer.
(1.0816) 1/2= ?
Option 1 : 0.14 Option 2 : 1.4 Option 3 : 1.004 Option 4 : 1.04

Ques 262 : Choose the correct answer.
If the digit in the units place of a square natural number is 6, then the digit in the tens place will be:
Option 1 : 1 Option 2 : 3 Option 3 : Even Option 4 : Odd

Ques 263 : Choose the correct answer.
(a+b)3-(a-b)3 can be factorized as:
Option 1 : 2b(3a2+b2) Option 2 : 2a(3a2+b2) Option 3 : 2b(3b2+a2) Option 4 : 2a(a2+3b2)

Ques 264 : Choose the correct answer.
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:
Option 1 : 0, 7/4 Option 2 : -7/4, 0 Option 3 : Same Option 4 : 7/4, 0

Ques 265 : Choose the correct answer.
The equations 2x+3y-7=0 and 10x+15y-35=0 are:
Option 1 : Consistent and have unique solution Option 2 : Consistent and have infinitely many solutions Option 3 : inconsistent Option 4 : none of these

Ques 266 : Choose the correct answer.
The solution of the simultaneous equations (1/2)x + (1/3)y = 2 and x+y=1 is:
Option 1 : x = 0, y = 1 Option 2 : x = 1, y = 0 Option 3 : x = 2/3, y = 3/2 Option 4 : x = 10, y = -9

Ques 267 : Choose the correct answer.
If the equation x2-2(k+1)x+(9/2)k=0 has two identical roots then the values of k are:
Option 1 : k=1, 2 Option 2 : k=2 or 1/2 Option 3 : k=3, 1/2 Option 4 : none of these

Ques 268 : Choose the correct answer.
The number which should be subtracted from 5a2-3ab+7b2 to make it equal to a2+ab+b2, is:
Option 1 : 4a2-4ab+6b2 Option 2 : 4a2-4ab+5b2 Option 3 : 4a2+4ab+6b2 Option 4 : 4a2-3ab+6b2 Option 5 : None of these

Ques 269 : Choose the correct answer.
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:
Option 1 : 0 Option 2 : -q Option 3 : 2 Option 4 : None of these

Ques 270 : Choose the correct answer.
The roots of the quadratic equation 6x2-5x+1=0 are:
Option 1 : 2,3 Option 2 : 1/2,1/3 Option 3 : 3,4 Option 4 : 1/3,1/4 Option 5 : None of these

Ques 271 : Choose the correct answer.
If a = 16, b=25, the value of 1/(a-1/2 – b-1/2) is:
Option 1 : 10 Option 2 : 15 Option 3 : 20 Option 4 : 25 Option 5 : 30

Ques 272 : Choose the correct answer.
3a2 (ab+bc+ca) =
Option 1 : 3a2+3a2bc+3a3c Option 2 : 3a3b+3a2bc+3c Option 3 : 3a3b+3a2bc+3a3c Option 4 : a3b+abc+a2c Option 5 : None of these

Ques 273 : Choose the correct answer.
x4y-xy4 =
Option 1 : xy(x-y)(x+ xy + y2) Option 2 : xy(x+y)(x2-xy+y4) Option 3 : x(xy-1)(x2-xy+y) Option 4 : (x3+y2)xy Option 5 : None of these

Ques 274 : Choose the correct answer.
Factors of 6a2-25a+4 are:
Option 1 : (a+4) (a-6) Option 2 : (a-4) (6a+1) Option 3 : (a-4)(6a-1) Option 4 : (a-6) (a-4) Option 5 : None of these

Ques 275 : Choose the correct answer.
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:
Option 1 : m=x+y+z Option 2 : 2m=a+b+c Option 3 : m=x-y-z Option 4 : 2m=x-y-z Option 5 : None of these

Ques 276 : Choose the correct answer.
If r = at2 and s = 2at, the relation among s, r and a is:
Option 1 : s2=4ar Option 2 : s=ar Option 3 : s=2ar Option 4 : s2=ar Option 5 : None of these

Ques 277 : Choose the correct answer.
If a+b=6, ab=5, the value of a-b is:
Option 1 : 4 Option 2 : 5 Option 3 : 6 Option 4 : 7 Option 5 : 9

Ques 278 : Choose the correct answer.
|X – 5| + 4 > 0 and |X2| < 4. Then x can be:
Option 1 : 4 Option 2 : 2 Option 3 : 0.5 Option 4 : All of these

Ques 279 : Choose the correct answer.
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)?
Option 1 : 1000 Option 2 : 784 Option 3 : 999 Option 4 : 1001

Ques 280 : Choose the correct answer.
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 ?
Option 1 : 2 Option 2 : 4 Option 3 : 3 Option 4 : None of these

Ques 281 : Choose the correct answer.
What is the highest power of 82 contained in 83!-82! ?
Option 1 : 3 Option 2 : 2 Option 3 : 164 Option 4 : None of these

Ques 282 : Choose the correct answer.
If x = 0.75, then what is the value of the expression (1+x+x2) + x3/(1-x) ?
Option 1 : 0.25 Option 2 : 4 Option 3 : 1.75 Option 4 : 1

Ques 283 : Choose the correct answer.
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?
Option 1 : -4 Option 2 : 4 Option 3 : 32/7 Option 4 : – 28/6

Ques 284 : Choose the correct answer.
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?
Option 1 : 1 Option 2 : 64 Option 3 : 169 Option 4 : 3

Ques 285 : Choose the correct answer.
If |x| + |y| = 7, then what is the sum of minimum and maximum values of x + y?
Option 1 : 3/2 Option 2 : -7 Option 3 : 7 Option 4 : 0

Ques 286 : Choose the correct answer.
832.58-242.31 =779.84- ?
Option 1 : 179.57 Option 2 : 199.57 Option 3 : 295.05 Option 4 : None of these

Ques 287 : Choose the correct answer.
Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?
Option 1 : 1/8 Option 2 : 3/4 Option 3 : 3/8 Option 4 : 2/5

Ques 288 : Choose the correct answer.
The simplification of (0.2 * 0.2 + 0.02 * 0.02 – 0.4 * 0.02) / 0.36
Option 1 : 0.009 Option 2 : 0.09 Option 3 : 0.9 Option 4 : 9

Ques 289 : Choose the correct answer.
If 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is close to:
Option 1 : 0.2695 Option 2 : 0.3695 Option 3 : 2.695 Option 4 : 3.695

Ques 290 : Choose the correct answer.
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?
Option 1 : 4/7 Option 2 : 1/2 Option 3 : 2/3 Option 4 : 5/6

Ques 291 : Choose the correct answer.
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
Option 1 : 46/100 Option 2 : 63/100 Option 3 : 74/100 Option 4 : 99/100

Ques 292 : Choose the correct answer.
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
Option 1 : 3/25 Option 2 : 1/6 Option 3 : 4/25 Option 4 : 81/400

Ques 293 : Choose the correct answer.
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 ?
Option 1 : 5/24 Option 2 : 9/160 Option 3 : 1/30 Option 4 : 7/160

Ques 294 : Choose the correct answer.
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
Option 1 : 3/14 Option 2 : 4/17 Option 3 : 1/5 Option 4 : 5/24

Ques 295 : Choose the correct answer.
Which among the following is greatest: 51/2, 111/3, 1231/6 ?
Option 1 : 51/2 Option 2 : 111/3 Option 3 : 1231/6 Option 4 : All are equal

Ques 296 : Choose the correct answer.
What are the unit’s digits of 369, 6864, 4725 respectively ?
Option 1 : 9,6 and 6 Option 2 : 6, 6 and 6 Option 3 : 3,6 and 4 Option 4 : None of these

Ques 297 : Choose the correct answer.
A = 11 * 22 * 33 * 4* 55 * ……..1010. How many zeroes will be there at the end of A ?
Option 1 : 6 Option 2 : 15 Option 3 : 10 Option 4 : None of these

Ques 298 : Choose the correct answer.
If x = 3 + 31/2, then what is the value of x+ 9/x2 ?
Option 1 : 15 + 3 * 31/2 Option 2 : 18 + 3 * 31/2 Option 3 : 27 + 3 * 31/2 Option 4 : None of these

Ques 299 : Choose the correct answer.
If x4 + 1/x4 = 47, then find the value of x3 + 1/x3
Option 1 : 18 Option 2 : 27 Option 3 : 9 Option 4 : 12

Ques 300 : Choose the correct answer.
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Option 1 : 1 Option 2 : 2 Option 3 : 3 Option 4 : 4

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