- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
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1.

A differential equation not depending on x(variable) is called

2.

Find out the wrong number in the given sequence of numbers 1, 2, 6, 15, 31, 56, 91

3.

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

4.

What is the possibility of having 53 Thursdays in a non-leap year?

5.

A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

6.

The minute hand and hour hand of a clock meet every 62 minutes. Does the clock gain or lose in 24 hours. And how much does it lose or gain?

7.

What was the week's day on sixteenth July, 1776?

8.

A runs 1 2/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

9.

A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?

10.

A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by

11.

Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is

12.

What will be difference in population 3 years ago and 2 years ago of Devon village, whose current population is 100000 and which is increasing at a rate of 25% every year?

13.

A boat covers a distance of 30 km in 2 ½ hours running downstream while returning it covers the same distance in 3 ¾ hours. What is the speed of the boat in still water?

14.

The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:

15.

Two trains A and B leave Kolkata for Sikkim at 8:00 pm and 8:30 pm respectively and run at 90 km/hr and 120 km/hr, respectively. At what distance from Kolkata, will the two trains meet?

16.

If a pipe can fill a tank in 6 hours, find the part of tank it fills in one hour.

17.

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weaves in 8 days?

18.

A man can walk a certain distance at a uniform speed in 100 days. How long will it take him to cover twice the distance at half the normal speed?

19.

\((17)^{3.5}\times (17)^{?}=17^{8}\)

20.

4211.01 + 22.261 - ? = 2645.759

Total number of questions : 20

Number of answered questions : 0

Number of unanswered questions : 20

1.

A differential equation not depending on x(variable) is called

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

2.

Find out the wrong number in the given sequence of numbers 1, 2, 6, 15, 31, 56, 91

Your Answer : (Not Answered)

Correct Answer : **B**

1, 1 + 1⊃2; = 2, 2 + 2⊃2; = 6, 6 + 3⊃2; = 15, 15 + 4⊃2; = 31, 31 + 5⊃2; = 56, 56 + 6⊃2; = 92

Last number of given series must be 92 not 91.

3.

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

Your Answer : (Not Answered)

Correct Answer : **C**

No answer description available for this question.

4.

What is the possibility of having 53 Thursdays in a non-leap year?

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

5.

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

6.

Your Answer : (Not Answered)

Correct Answer : **C**

No answer description available for this question.

7.

What was the week's day on sixteenth July, 1776?

Your Answer : (Not Answered)

Correct Answer : **B**

16 July, 1776

= (1775 years + period from 1.1.1776 to 16.7.1776.

Checking of odd days.

No. of odd days in 1600 years =0

No. of odd days in 100 years = 5

75 years= 18 jump years+57 conventional years

= (18*2+57*1) odd days = 93 odd days

= (13 weeks +2 days) = 2 odd days.

∴ 1775 years have= (0+5+2) odd days= 7 days= 0 days

Jan + Feb. + March + April + May + June + July

31 +29 + 31 + 30 + 31 + 30 +16 = 198 days

198 days = (28 weeks+2 days) = 2 odd days

=Total no. of odd days = (0+2) = 2

Thus, the required day is Tuesday.

8.

Your Answer : (Not Answered)

Correct Answer : **A**

No answer description available for this question.

9.

Your Answer : (Not Answered)

Correct Answer : **A**

A runs 1000 m while B runs 900 m and C runs 800 m.

The number of meters that C runs when B runs 1000 m,

= (1000 * 800)/900 = 8000/9 = 888.88 m.

B can give C = 1000 - 888.88 = 111.12 m.

10.

Your Answer : (Not Answered)

Correct Answer : **A**

No answer description available for this question.

11.

Your Answer : (Not Answered)

Correct Answer : **C**

No answer description available for this question.

12.

Your Answer : (Not Answered)

Correct Answer : **D**

No answer description available for this question.

13.

Your Answer : (Not Answered)

Correct Answer : **D**

Speed downstream = (30 x 2/5)km/hr = 12km/hr

Speed upstream = (30 x 4/15) km/hr = 8 km/hr

Speed of boat in still water = ½ (12 + 8)km/hr = 10 km/hr

14.

Your Answer : (Not Answered)

Correct Answer : **D**

Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.

Let the length of the train and that of the platform be x meters.

Then, 2x/60 = 25

x = 25 * 60 / 2 = 750

15.

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

16.

If a pipe can fill a tank in 6 hours, find the part of tank it fills in one hour.

Your Answer : (Not Answered)

Correct Answer : **A**

Let the capacity of the tank be C litres.

Time to fill the tank = 6 hours

Hence, in 1 hour C/6 litres gets filled.

Therefore, 1/6th part of the tank gets filled in one hour.

17.

Your Answer : (Not Answered)

Correct Answer : **D**

No answer description available for this question.

18.

Your Answer : (Not Answered)

Correct Answer : **E**

Earlier time = 100 days.

Distance is doubled and speed is reduced to half. ∴ time will become 2 × 2 i.e. 4 times.

Hence now it will take 100 × 4 = 400 days.

19.

\((17)^{3.5}\times (17)^{?}=17^{8}\)

Your Answer : (Not Answered)

Correct Answer : **D**

Let \((17)^{3.5}\times (17)^{x}=17^{8}\)

Then, \((17)^{3.5+x}=17^{8}\)

\(\therefore 3.5+x=8 \)

\(\Rightarrow x=(8-3.5) \)

\(\Rightarrow x=4.5\)

20.

4211.01 + 22.261 - ? = 2645.759

Your Answer : (Not Answered)

Correct Answer : **A**

Required Value

\(= 4211.01 + 22.261 - 2645.759\)

\(= 1587.512\)

Total number of questions : 20

Number of answered questions : 0

Number of unanswered questions : 20

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