Test Preparation on CAT Quantitative Ability Mock Test-4

Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by-

11050
2540
31440
41590

Let the other multiplier be x
53x - 35x = 540

x = 30
New product = (53 × 30) = 1590

In a number system the product of 44 and 11 is 3414. The number 3111 of this system, when converted to the decimal number
system, becomes -

1406
21086
3213
4691

The product of 44 and 11 is 484.
But given product of 44 and 11 = 3414 (in number
system)
Here, 3x3 + 4x2 +1x1 + 4x x0 = 484
3x3 + 4x2 + x = 480
This equation is satisfied only when x = 5.
In decimal system, the number 3111 can be written as
406 = [3 × 5³ + 1 × 5² + 1 × 5¹ + 1 × 50]

Every ten years the Indian government counts all the people living in the country. Suppose that the director of the census has
reported the following data on two neighbouring villages Chota Hazri and Mota Hazri (2001)
Chota Hazri has 4,522 fewer males than Mota hazri. Mota Hazri has 4,020 more females than males.
Chota Hazri has twice as many females as males. Chota Hazri has 2,910 fewer females than Mota Hazri.
What is the total number of males in Chota Hazri?

111264
214174
35632
410154

Let x, y and z be distinct integers. x and y are odd positive, and z is even positive. Which one of the following statements can not
be true?

1(x – z)2 y is even
2(x – z) y2 is odd
3(x – z)y is odd
4(x – y)2 z is even

x, y, z > 0; x and y are odd, z is even
Note : [odd – Even is odd], [odd – odd is even],
[odd × odd is odd]
Since, (x – z) is odd
(x - z)² is also odd and (x - z)² y is odd
(x - z)² y can not be even

Number S is obtained by squaring the sum of digits of a two digit number D. If difference between S and D is 27, then the two digit
number D is -

When 2256 is divided by 17 the remainder would be -

11
216
314
4None of these

At a book store, “MODERN BOOK STORE” is flashed using neon lights. The words are individually flashed at intervals of 2 1/2, 4 1/4, 5 1/8,

seconds respectively, and each word is put off after a second. The least time after which the full name of the
bookstore can be read again is

149.5 seconds
273.5 seconds
31742.5 seconds
4855 seconds


Right Ans	Wrong Ans	Not Attempted

Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by-

In a number system the product of 44 and 11 is 3414. The number 3111 of this system, when converted to the decimal numbersystem, becomes -

Let x, y and z be distinct integers. x and y are odd positive, and z is even positive. Which one of the following statements can notbe true?

Number S is obtained by squaring the sum of digits of a two digit number D. If difference between S and D is 27, then the two digitnumber D is -

When 2256 is divided by 17 the remainder would be -

At a book store, “MODERN BOOK STORE” is flashed using neon lights. The words are individually flashed at intervals of 2 1/2, 4 1/4, 5 1/8, seconds respectively, and each word is put off after a second. The least time after which the full name of thebookstore can be read again is

Check your progress:

In a number system the product of 44 and 11 is 3414. The number 3111 of this system, when converted to the decimal number
system, becomes -

Let x, y and z be distinct integers. x and y are odd positive, and z is even positive. Which one of the following statements can not
be true?

Number S is obtained by squaring the sum of digits of a two digit number D. If difference between S and D is 27, then the two digit
number D is -

At a book store, “MODERN BOOK STORE” is flashed using neon lights. The words are individually flashed at intervals of 2 1/2, 4 1/4, 5 1/8,

seconds respectively, and each word is put off after a second. The least time after which the full name of the
bookstore can be read again is