### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions 10

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)(x2 + 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 1×3-4×2+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 * 44 * 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 x2 + 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