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Q:

Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other.

Directions:

(1) No two ladies or two gentlemen are sitting side by side.

(2) C, who is sitting between G and E is facing D.

(3) F is between D and A and is facing G.

(4) H is to the right of B.

Question:

1. Who are immediate neighbours of B?

2. E is facing whom?

A) G & H , H	B) F & H , B
C) E & F , F	D) E & H , G

Answer & Explanation Answer: A) G & H , H

Explanation:

From the directions given :

f11482726547.png image

From the fig. it is clear that

1) neighbours of B are G , H.

2) E is facing H.

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Filed Under: Permutations and Combinations
Exam Prep: CAT
Job Role: Bank PO

Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8	B) 2
C) 6	D) 4

Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)² - (2x + 1)²

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

Q:

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13	B) 11
C) 13	D) -11

Answer & Explanation Answer: C) 13

Explanation:

Given,

5sinx + 12cosx ≥ -r

$\Rightarrow 13 (\frac{5}{13} \sin x + \frac{12}{13} \cos x) \geq - r$ cosx) ≥ -r

$\frac{5}{13}$ = cosA => sinA = $\frac{12}{13}$

=> 13(sinx cosA + sinA cosx) ≥ -r

=> 13(sin(x + A)) ≥ -r

we know that , -1 ≤ sin (angle) ≤ 1

=> 13sin (x + A) ≥ -13 $\Rightarrow r_{m i n} = 13$

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank PO

Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

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Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

Q:

A,B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ . 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

Answer & Explanation Answer: A) Rs. 4000

Explanation:

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

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

$∴ A : B : C = (105 x \times 4 + \frac{150}{100} \times 105 x \times 8) : (40 x \times 12) : (36 x \times 12)$

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

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

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

Q:

The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?

A) Rs.855	B) Rs.955
C) Rs.906	D) Rs.896

Answer & Explanation Answer: C) Rs.906

Explanation:

Let C.P =Rs. x

Then as given, (753 - x ) = (x - 455)

=>2x = 1208 => x = 604

There fore S.P= 150% of 604 => Rs. $\frac{150}{100} \times 604$ = Rs.906

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Filed Under: Profit and Loss
Exam Prep: CAT
Job Role: Bank PO

Q:

The book “The Other One Percent: Indians in America” has been authored by whom?

A) Lionel Messi	B) Balaji Vittal
C) Sanjoy Chakravorty	D) Joe Harris

Answer & Explanation Answer: C) Sanjoy Chakravorty

Explanation:

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Filed Under: General Awareness
Exam Prep: CAT
Job Role: Bank PO

Q:

India's first amphibious bus project has been launched by which state government ?

A) Telangana	B) Assam
C) Punjab	D) Gujarat

Answer & Explanation Answer: C) Punjab

Explanation:

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Filed Under: Indian Economy
Exam Prep: CAT
Job Role: Bank PO

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