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Q:

What is the antonym of "Censure" ?

A) commend	B) augment
C) enthral	D) reform

Answer & Explanation Answer: C) enthral

Explanation:

"Censure" means expressing formal disapproval. "Enthral" means spellbound or enchant, which is farthest in meaning to the given word.

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

Q:

Determine which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements:
Some actors are singers.
All the singers are dancers.

Conclusions:
(i) Some actors are dancers.
(ii) No singer is an actor.

A) Neither (i) nor (ii) follows	B) Either (i) or (ii) follows
C) Only conclusion (ii) follows	D) Only conclusion (i) follows

Answer & Explanation Answer: D) Only conclusion (i) follows

Explanation:

Some + All = Some

and the common word in two statements is Singers will not be used.

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Filed Under: Verification of Truth of the statement
Exam Prep: CAT
Job Role: Bank PO

Q:

In certain language, CHAMPION is coded as HCMAIPNO, how is NEGATIVE coded in that code ?

A) NEAGVEIT	B) ENAGITEV
C) MGAETVIE	D) EGAITEVN

Answer & Explanation Answer: B) ENAGITEV

Explanation:

The letters of the word are reversed in order, taking two at a time, to obtain the code.

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Filed Under: Coding and Decoding
Exam Prep: CAT
Job Role: Bank Clerk

Q:

The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan?

A) 56 years	B) 62 years
C) 69 years	D) 72 years

Answer & Explanation Answer: D) 72 years

Explanation:

Let us consider Karthik as K1 and Kalyan as K2.

Given $\frac{k 1}{8 + k 1}$ and K2 - (K1 + 5) = 3

K2 - K1 = 8

K2 = 8 + K1

Now,

$\frac{k 1}{8 + k 1} = \frac{4}{5}$

=> K1 = 32 years

Therefore K2 = 40 years.

K1 + K2 = 72 years.

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Filed Under: Problems on Ages
Exam Prep: CAT
Job Role: Bank PO

Q:

How many prime numbers exist in $6^{5} \times 35^{9} \times 11^{3}$ ?

A) 29	B) 31
C) 33	D) 27

Answer & Explanation Answer: B) 31

Explanation:

Given $6^{5} \times 35^{9} \times 11^{3}$

$\Rightarrow {(2 \times 3)}^{5} \times {(5 \times 7)}^{9} \times 11^{3}$

$\Rightarrow 2^{5} \times 3^{5} \times 5^{9} \times 7^{9} \times 11^{3}$

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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

Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

A) 4	B) 1
C) 5	D) 7

Answer & Explanation Answer: D) 7

Explanation:

1 1
8 A 9
+ 4 C 6
- 6 B 2
7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

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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:

Find the ratio of the areas of the incircle and circumcircle of a square ?

A) 1 : 4	B) 4 : 1
C) 2 : 1	D) 1 : 2

Answer & Explanation Answer: D) 1 : 2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2} x$ .

Radius of incircle = x/2 and radius of circumcircle = $\frac{\sqrt{2} x}{2}$ . k11482389216.png image

Therefore, required ratio = $(\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2})$ = $\frac{1}{4} : \frac{1}{2} = 1 : 2$

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

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