Bank Foundation Test 762

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Question 1/6
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Directions For Questions

Direction:A sentence with two blanks is given, each blank indicating that something has been omitted. Choose the words that best fit in the given blanks making the sentence grammatically correct and meaningful.

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Mr. Rajesh _______ his wife that he would take ________ action to set right his erring son.

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A
called, strict

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B
assured, stringent

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C
reiterated, strictly

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D
informed, constructive

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E
instructed, preventive

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Solutions
'Assured' means to make confident and the word 'stringent action' means strict action for his son. Here, Mr. Rajesh made sure his wife that he would take a strict action to set right his erring son. There is no other pair of alternatives out of five which fits into the blanks contextually. And thus, both these words fit grammatically and contextually in the sentence.
Hence, option B is the correct answer.
Question 2/6
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Directions For Questions

Direction: A sentence with one blank is given, indicating that something has been omitted. Choose the word that best fits the blank appropriately.

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________ being hard working he is thoroughly honest.

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A
Along with

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B
Betimes

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C
Over and above

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D
Although

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E
Despite

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Solutions
The sentence refers to two qualities of the same person which are being described in the same sentence. Corresponding to this, 'along with' is the most suitable response which means 'in company with or at the same time'.
Question 3/6
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Directions For Questions

Direction: Study the following information carefully and answer the following questions.

Eight people A, B, C, D, E, F, G and H are sitting around a circular table. Some of them are facing inside and some are facing outside the center. F sits second to the right of C. D sits second to the left of F. D and C face the same direction. G sits third to the right of D. H sits second to the left of G and H is not the neighbour of D. G does not face outside. One person sits between G and E. A sits second to the left of E and both faces the same direction. Immediate neighbours of C face the same direction. D is second to the right of B

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If F and B interchange their places, who will be second to the right of F?

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A
C

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B
D

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C
H

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D
E

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E
None of these

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Solutions

Eight people- A, B, C, D, E, F, G and H.

1) F sits second right of C. D sits second left of F. D and C face the same direction.

2) G sits third right of D. H sits second left of G. H is not an immediate neighbour of D.

Case 1: Case 2:

3) G faces inside (here case 1 will be eliminated, we can further proceed with case 2).

4) Only one person sits between G and E. A sits second left of E and both face thes same direction.

5) Immediate neighbour of C face the same direction. D sits second right of B.

Clearly, D sits second to the right of F after F and B interchange their positions.
Question 4/6
1 / -0.25

Directions For Questions

Direction: Study the following information carefully and answer the following questions.

Eight people A, B, C, D, E, F, G and H are sitting around a circular table. Some of them are facing inside and some are facing outside the center. F sits second to the right of C. D sits second to the left of F. D and C face the same direction. G sits third to the right of D. H sits second to the left of G and H is not the neighbour of D. G does not face outside. One person sits between G and E. A sits second to the left of E and both faces the same direction. Immediate neighbours of C face the same direction. D is second to the right of B

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Who sits diagonally opposite to A?

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A
G

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B
C

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C
E

Correct

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D
H

Correct

Wrong

Skipped
E
None of these

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Solutions

Eight people- A, B, C, D, E, F, G and H.

1) F sits second right of C. D sits second left of F. D and C face the same direction.

2) G sits third right of D. H sits second left of G. H is not an immediate neighbour of D.

Case 1: Case 2:

3) G faces inside (here case 1 will be eliminated, we can further proceed with case 2).

4) Only one person sits between G and E. A sits second left of E and both face thes same direction.

5) Immediate neighbour of C face the same direction. D sits second right of B.

Clearly, G sits diagonally opposite to A.
Question 5/6
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Quantity 1: 480 cm²
Quantity 2: The new area of the rectangle if the length of a rectangle is decreased by 20% and breadth of the rectangle is increased by 20%. The area of the rectangle was 500 cm² initially and length was 25 cm initially.

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A
Quantity 1= Quantity 2 or No relation

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B
Quantity 1 ≤ Quantity 2

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C
Quantity 1< Quantity 2

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D
Quantity 1> Quantity 2

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E
Quantity 1 ≥ Quantity 2

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Solutions

Quantity 1: 480 cm²

Quantity 2:
Length * breadth= Area
25 * breadth=500
Breadth = 500/25 = 20 cm
New length = 25*80/100 = 20 cm
New breadth = 20*[120/100] = 24 cm
New area = 24*20 = 480 cm²
So, Quantity 1 = Quantity 2
Question 6/6
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Quantity A: The probability that Sanjay can hit a target is 2/3. He tries 6 times. What is the probability that he will hit the target at least five times?
Quantity B: The probability that a third 1 is observed on the fifth throw if a fair dice is tossed 5 times.

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A
Quantity A < Quantity B

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B
Quantity A > Quantity B

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C
Quantity A ≤ Quantity B

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D
Quantity A ≥ Quantity B

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E
Quantity A = Quantity B or no relation

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Solutions
Quantity A:
Number of trials = n = 6
Number of successes required = at least five times = r = 5, 6
Probability of hitting the target = p =
⇒ Probability of not hitting the target = q =
The formula for determining the probability of events with a binomial outcome:
P(r) = ⁿC_r × (p^r) × (q^(n-r))
⇒ Sanjay hit the target at least 5 times = ⁶C₅(2/3)⁵(1/3)¹ + ⁶C₆(2/3)⁶
⇒ Sanjay hit the target at least 5 times = 6(32/243)(1/3) + 1(64/729)
⇒ Sanjay hit the target at least 5 times =
Quantity B:
Number of trials = n = 5
Probability of 1 occurs =
⇒ Probability of not occurring 1 =
The third 1 occurs on 5^th trial
⇒ In first 4 trails we must exactly 2 ones and 5^th trail must result in a one.
The formula for determining the probability of events with a binomial outcome:
P(r) = ⁿC_r × (p^r) × (q^(n-r))
∴ Required probability = ⁴C₂ (1/6)² (5/6)² × (1/6)
⇒ Required probability = 6 (1/36) (25/36) × (1/6)
⇒ Required probability =
Now, comparing

Hence, Quantity A> Quantity B

Question 1/6

called, strict

assured, stringent

reiterated, strictly

informed, constructive

instructed, preventive

Question 2/6

Along with

Betimes

Over and above

Although

Despite

Question 3/6

C

D

H

E

None of these

Question 4/6

G

C

E

H

None of these

Question 5/6

Quantity 1= Quantity 2 or No relation

Quantity 1 ≤ Quantity 2

Quantity 1< Quantity 2

Quantity 1> Quantity 2

Quantity 1 ≥ Quantity 2

Question 6/6

Quantity A < Quantity B

Quantity A > Quantity B

Quantity A ≤ Quantity B

Quantity A ≥ Quantity B

Quantity A = Quantity B or no relation