In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been

Byadmin July 18, 2022

Question:
In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been

[A].

[B].

144

[C].

292

[D].

584

Answer: Option D

Explanation:

5 | x z = 13 x 1 + 12 = 25
————–
9 | y – 4 y = 9 x z + 8 = 9 x 25 + 8 = 233
————–
13| z – 8 x = 5 x y + 4 = 5 x 233 + 4 = 1169
————–
| 1 -12

585) 1169 (1
585
—
584
—

Therefore, on dividing the number by 585, remainder = 584.

Compound Interest | Mathematics Mcqs

Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan’s investments if the interests from those investments are equal?

Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan’s investments if the interests from those investments are equal?

A. 4 : 3
B. 3 : 2
C. 6 : 5
D. 7 : 6
E. None of these
Explanation:
Let x be the investment of Rayan in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6

Read More Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan’s investments if the interests from those investments are equal?
Aptitude | Calendar

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

Question: If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
[A].

Sunday
[B].
Saturday
[C].
Tuesday
[D].
Wednesday

Answer: Option A

Explanation:

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

6th March, 2004 is Sunday (1 day before to 6th March, 2005).

Read More If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
Aptitude | Numbers

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?

Question:
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?

[A].

4236
[B].
4306
[C].
4336
[D].
5336

Answer: Option D

Explanation:

Divisor = (5 x 46) = 230

10 x Quotient = 230     = 230 = 23

10

Dividend = (Divisor x Quotient) + Remainder

    = (230 x 23) + 46

    = 5290 + 46

    = 5336.

Read More In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
Compound Interest | Mathematics Mcqs

A deposited Rs 6000 in a bank at 5% Per annum simple interest. B deposited Rs 5000 at 8% P.a Compound interest. After 2 years the difference between their interest will be:_________?

A deposited Rs 6000 in a bank at 5% Per annum simple interest. B deposited Rs 5000 at 8% P.a Compound interest. After 2 years the difference between their interest will be:_________?

A. Rs 230
B. Rs 232
C. Rs 600
D. Rs 832
Explanation:
S.I = Rs (6000 × 5/100×2)=Rs 600
C.I = Rs [5000 × (1+8/100)2-5000]
= Rs [(5000 × 27/25 ×27/25)-5000]
=Rs (5832-5000)=Rs 832
(c.I) – (S.I) = Rs (832-600) = Rs 232

Read More A deposited Rs 6000 in a bank at 5% Per annum simple interest. B deposited Rs 5000 at 8% P.a Compound interest. After 2 years the difference between their interest will be:_________?
Aptitude | Area

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

Question:
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

[A].

25% increase
[B].
50% increase
[C].
50% decrease
[D].
75% decrease

Answer: Option B

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x .

2

New breadth = 3y.

New area = x x 3y = 3 xy.

2 2

Increase % = 1 xy x 1 x 100 % = 50%.

2 xy

Read More The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Aptitude | Average

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

Question:
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

[A].

17 kg
[B].
20 kg
[C].
26 kg
[D].
31 kg

Answer: Option D

Explanation:

Let A, B, C represent their respective weights. Then, we have:

A + B + C = (45 x 3) = 135 …. (i)

A + B = (40 x 2) = 80 …. (ii)

B + C = (43 x 2) = 86 ….(iii)

Adding (ii) and (iii), we get: A + 2B + C = 166 …. (iv)

Subtracting (i) from (iv), we get : B = 31.

B’s weight = 31 kg.

Read More The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

10 x Quotient = 230 =	230	= 23
	10

New length =	x	.
	2

New area =		x	x 3y		=	3	xy.
		2				2

Increase % =		1	xy x	1	x 100	%	= 50%.
		2		xy

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