Online Test | Lucent Black Board | LucentBlackBoard.com

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1. Total number of questions : 15.

2. Time alloted : 20 minutes.

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A. Number Of Question

B. Number Of Attempted

C. Number Of Correct Answer

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F. Accuracy Rate ( F = C / B * 100 )

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Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed that the mixture may be 15 times as heavy as water?

A. 1:2 Wrong Right

B. 2:1 Wrong Right

C. 2:3 Wrong Right

D. 3 : 2 Wrong Right

Answer : 3 : 2

Explanation : Quantity of Metal Gold=19, Copper = 9;
Resultant = 15
Proportion 6 : 4
Gold : Copper = 6 : 4 = 3 : 2

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The diagonal of a rectangle is thrice its small side. The ratio of the length to the breadth of the rectangle is

A. 3 : 1 Wrong Right

B. √3 : 1 Wrong Right

C. √2 : 1 Wrong Right

D. 2√2 : 1 Wrong Right

Answer : 2√2 : 1

Explanation : √(l2 + b2) = 3b => l2 + b2 = 9b2 => l2= 8b2 => l2/b2 = 8 => l/b = √8 = 2√2:1

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The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

A. Rs. 60 Wrong Right

B. Rs. 108 Wrong Right

C. Rs. 110
Wrong Right

D. Rs. 112
Wrong Right

Answer : Rs. 108

Explanation :

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(1000)9 ÷ 1024 = ?

A. 10000 Wrong Right

B. 1000 Wrong Right

C. 100 Wrong Right

D. 10 Wrong Right

E. None of these Wrong Right

Answer : 1000

Explanation : (1000)⁹ / 10²⁴ = (103)⁹ / 10²⁴ = (10)²⁷ / 10²⁴

10^(27-24) = 10³= 1000

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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

A. 10080 Wrong Right

B. 4989600 Wrong Right

C. 120960 Wrong Right

D. None of these Wrong Right

Answer : 120960

Explanation : In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.
Thus, we have MTHMTCS (AEAI).
Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.
Number of ways of arranging these letters = 8! / ((2!)(2!)) = 10080.

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.
Number of ways of arranging these letters = 4!/2! = 12.

Required number of words = (10080 x 12) = 120960.

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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A. 1/13 Wrong Right

B. 3/13 Wrong Right

C. 1/4 Wrong Right

D. 9/52 Wrong Right

Answer : 3/13

Explanation : Clearly, there are 52 cards, out of which there are 12 face cards.
P (getting a face card) = 12/52 = 3/13 .

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If the product of the L.C.M. and H.C.F. of two numbers is 60 and the difference between the two numbers is 4, find the numbers.

A. 6 and 10 Wrong Right

B. 8 and 12 Wrong Right

C. 4 and 8 Wrong Right

D. Cannot be determined Wrong Right

Answer : 6 and 10

Explanation : H.C.F. * L.C.M = product of the two numbers
H.C.F.*L.C.M = 60 = product of the two numbers
Let one of the numbers be x. The second number is (x+4)
60 = product of the two numbers = x*(x+4)
x2 + 4x – 60 = 0 = (x + 10)*(x – 6)
x = 6
Therefore, the numbers are 6 and 10.

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In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

A. 86 sec Wrong Right

B. 80 sec Wrong Right

C. 76 sec Wrong Right

D. None of these Wrong Right

Answer : 80 sec

Explanation : B runs 45/2 m in 6 sec.

B covers 300 m in 6 x (2/45) x 300 sec = 80 sec.

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In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

A. 50 Wrong Right

B. 100 Wrong Right

C. 150 Wrong Right

D. 200 Wrong Right

Answer : 150

Explanation :

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10.

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

A. Rs. 35 Wrong Right

B. Rs. 245 Wrong Right

C. Rs. 350 Wrong Right

D. Cannot be determined Wrong Right

Answer : Cannot be determined

Explanation : We need to know the S.I., principal and time to find the rate.
Since the principal is not given, so data is inadequate.

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11.

A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

A. 22 Wrong Right

B. 23 Wrong Right

C. 24 Wrong Right

D. 26 Wrong Right

Answer : 26

Explanation : Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
and 2x + 4y = 140 x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
The required answer = 26.

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12.

The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/4 % is:

A. Rs. 95.75 Wrong Right

B. Rs. 96 Wrong Right

C. Rs. 96.25 Wrong Right

D. Rs. 104.25 Wrong Right

Answer : Rs. 96.25

Explanation : C.P. = Rs. 100 - 4 + (1/4) = Rs. 96.25

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13.

A. 1 Wrong Right

B. 10 Wrong Right

C. 121 Wrong Right

D. 1000 Wrong Right

Answer : 1000

Explanation :

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14.

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

A. 2 : 3 Wrong Right

B. 3 : 2 Wrong Right

C. 3 : 4 Wrong Right

D. 4 : 3 Wrong Right

Answer : 3 : 4

Explanation : Let the speed of the train be x km/hr and that of the car be y km/hr.
Then, 120 + 480 = 8 1 + 4 = 1 ....(i)
x y x y 15
And, 200 + 400 = 25 1 + 2 = 1 ....(ii)
x y 3 x y 24
Solving (i) and (ii), we get: x = 60 and y = 80.
Ratio of speeds = 60 : 80 = 3 : 4.

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15.

Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

A. Rs. 10 Wrong Right

B. Rs. 10.40 Wrong Right

C. Rs. 15.20 Wrong Right

D. Rs. 13 Wrong Right

Answer : Rs. 10.40

Explanation : S.I. on Rs. (260 - 20) for a given time = Rs. 20.
S.I. on Rs. 240 for half the time = Rs. 10.
T.D. on Rs. 250 = Rs. 10.
T.D. on Rs. 260 = Rs. (10/250) x 260 = Rs. 10.40

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