# CAT Questions

Q:

How Many Prime ministers have conferred with Bharat Ratna upto November 2014 ?

Six

Subject: Indian Politics Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

1549
Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

 A) 105 B) 7! x 6! C) 7!/5! D) 420

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,

Then, 7C1 x 6C2 x 4C4
= 7 x $\inline \fn_jvn \small \frac{6x5}{2}$ x 1
= 7 x 15 = 105.

4 1281
Q:

$\inline \fn_jvn \left ( 31 \right )^{31}\times \left ( 31 \right )^{-27}$ = ?

 A) 961 x 861 B) 961 x 961 C) 961 x 2 D) 29791

Explanation:

We know that $\inline \fn_jvn \small \left ( a \right )^{m}\times \left ( a \right )^{n}=\left ( a \right )^{m+n}$

$\inline&space;\therefore(31)&space;^{31-27}$ = $31^{4}$ = 961 x 961.

Filed Under: Numbers - Quantitative Aptitude - Arithmetic Ability
Exam Prep: CAT
Job Role: Bank PO

6 1064
Q:

A,B and C enter into a partnership in the ratio  $\inline \fn_jvn \small \frac{7}{2}:\frac{4}{3}:\frac{6}{5}$. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

 A) Rs. 4000 B) Rs. 6000 C) Rs. 9000 D) Rs. 3000

Explanation:

Given ratio of initial investments = $\inline&space;\frac{7}{2}&space;:&space;\frac{4}{3}&space;:&space;\frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

$\inline&space;\therefore&space;A&space;:&space;B&space;:&space;C$ = $\inline \fn_jvn \small \left ( 105x\times 4+\frac{150}{100}\times 105x\times 8 \right ):\left ( 40x\times 12 \right ):\left ( 36x\times 12 \right )$

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = $\inline \fn_jvn \small Rs.\left ( 21600\times \frac{10}{54} \right )$ = Rs. 4000.

5 1038
Q:

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay :

 A) Rs. 100 B) Rs. 105 C) Rs. 115 D) Rs. 110

Amount to be paid = $\inline \fn_jvn Rs.\left [ 100+\frac{200\times 5\times 1}{100}+\frac{100\times 5\times 1}{100} \right ]$ = Rs. 115.