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Q:

Each of the following series of statements is followed by four sets. Identify the set that is logically consistent.
(a) The gap between the average starting salaries of teachers and those of other professionals has shrunk in recent years.
(b) The average age of first year teachers is same as it was in 1975.
(c) Starting teachers are no longer underpaid.
(d) The extent of a persons formal education is a measure by which to determine his level of salary.
(e) Over the last few years, the average starting salaries of other professionals have increased by 20%

A) e,b,d	B) e,d,b
C) a,c,b	D) a,e,c

Answer & Explanation Answer: D) a,e,c

Explanation:

The statements a,e,c are logically sequenced.

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Filed Under: Theme Detection
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Q:

How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ?

A) 521	B) 720
C) 420	D) 225

Answer & Explanation Answer: B) 720

Explanation:

Let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.
so for last digit = 2, total numbers=240

Similarly for 4 and 6
When last digit = 4, total no. of ways =240
and last digit = 6, total no. of ways =240
so total of 720 even numbers are possible.

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Filed Under: Permutations and Combinations
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Q:

A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ?

A) 10.5 kgs	B) 12 kgs
C) 9.6 kgs	D) 11.5 kgs

Answer & Explanation Answer: D) 11.5 kgs

Explanation:

Screws weight = 90x100 = 9000gms
bolts weight = 100 x 150 = 15000gms
weight = screws + bolts => 24000 gms =>24 kg
Given entire box weight = 35.5kg
empty box = entire box weight - weight => 35.5kg - 24kg => 11.5kg
so the empty box is 11.5kg.

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Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421	B) 9,423
C) 11,600	D) 10,500

Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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Filed Under: Partnership
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Q:

If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

A) 6	B) 8
C) 4	D) 9

Answer & Explanation Answer: C) 4

Explanation:

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

= H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

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Q:

Which digits will come in the place of '?' in the following series ?

372, 823, 644, 582, 46?, 8?7

A) 4, 4	B) 6, 2
C) 3, 2	D) 2, 5

Answer & Explanation Answer: B) 6, 2

Explanation:

Given series is 372, 823, 644, 582, 46?, 8?7

Here the series follow the rule that :
372 = 3+7+2 = 12
823 = 8+2+3 = 13
644 = 6+4+4 = 14
582 = 5+8+2 = 15
46? = 4+6+? = 16 => ? = 6
8?7 = 8+?+7 = 17 => ? = 2

So the missing numbers are 6 and 2

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Filed Under: Number Series
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Q:

P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ?

A) 120	B) 240
C) 360	D) 180

Answer & Explanation Answer: A) 120

Explanation:

1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone)

so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1

so R share = (1/10) x 1200 = 120.

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Filed Under: Time and Work
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Q:

What is the right most integer of the expression $65776^{759} + 54697^{467}$ ?

A) 4	B) 6
C) 9	D) 0

Answer & Explanation Answer: C) 9

Explanation:

Last digit for the power of 6 is 6 (always)

Power cycle of 7 is 7, 9, 3, 1.

Now 467/4 gives a remainder of 3

Then the last digit is $7^{3}$ = 3

Last digit is 6 + 3 = 9.

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Filed Under: Numbers
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