DAILY UPDATES MOCK TEST 112

1. Line : Square :: Arc : ?

Ring

Sphere

Circle

Ball

Square is made up of line and circle is made up of Arc.

Explanation

Square is made up of line and circle is made up of Arc.

2. In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

910

1820

455

2730

Explanation

3. Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirit and water is 4 : 1 in 2nd container the ratio is 11 : 4 and in the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:

4 : 9

9 : 5

11 : 4

5 : 10

Explanation

4.

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:

3.6 kg

3.696 kg

36 kg

36.9 kg

External radius = 4 cm,

Internal radius = 3 cm.

Volume of iron

=		22	x [(4)² - (3)²] x 21	cm³
		7

=		22	x 7 x 1 x 21	cm³
		7

= 462 cm³.

Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg.

Explanation

External radius = 4 cm,

Internal radius = 3 cm.

Volume of iron

=		22	x [(4)² - (3)²] x 21	cm³
		7

=		22	x 7 x 1 x 21	cm³
		7

= 462 cm³.

Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg.

5. What equal installment of annual payment will dis-charge a debt which is due as Rs. 848 at the end of 4 years at 4% per annum simple interest?

Rs. 212

Rs. 200

Rs. 250

Rs. 225

Explanation

6. Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

7 hours 30 minutes

8 hours

8 hours 15 minutes

8 hours 25 minutes

Number of pages typed by Ravi in 1 hour =	32	=	16	.
	6		3

Number of pages typed by Kumar in 1 hour =	40	= 8.
	5

Number of pages typed by both in 1 hour =		16	+ 8		=	40	.
		3				3

Time taken by both to type 110 pages =		110 x	3		hours
			40

= 8	1	hours (or) 8 hours 15 minutes.
	4

Explanation

Number of pages typed by Ravi in 1 hour =	32	=	16	.
	6		3

Number of pages typed by Kumar in 1 hour =	40	= 8.
	5

Number of pages typed by both in 1 hour =		16	+ 8		=	40	.
		3				3

Time taken by both to type 110 pages =		110 x	3		hours
			40

= 8	1	hours (or) 8 hours 15 minutes.
	4

7. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

2 years

4 years

6 years

8 years

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

Explanation

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

8. The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

5 : 2

7 : 3

9 : 2

13 : 4

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Explanation

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

9. For the following question, find the odd word/letters/number from the given alternatives.

Tabla

Tanpura

Sarod

Sitar

Tabla is not wired instrument.

Explanation

Tabla is not wired instrument.

10. If 6#30=5; 8#24=3; 7#28=4; then what is the value of 8#40=?

47

4

5

24

30 ÷ 6 =5
24 ÷ 8 =3
28 ÷ 7 =4
40 ÷ 8 = 5

Explanation

30 ÷ 6 =5
24 ÷ 8 =3
28 ÷ 7 =4
40 ÷ 8 = 5

11. Select the missing number from the given responses.

120

23

55

30

100 + 34 = 134
31 + 86 = 117
64 + 23 = 87

Explanation

100 + 34 = 134
31 + 86 = 117
64 + 23 = 87

12. Forecast : Future :: Regret : ?

Present

Sins

Life

Past

Forecast related to Future. Similarly, Regret is the past activity.

Explanation

Forecast related to Future. Similarly, Regret is the past activity.

13. A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. PMT, OOS, NQR, MSQ, ?

LVR

LVP

LWP

LUP

There is (-1,+2,-1) gap.

Explanation

There is (-1,+2,-1) gap.

14. A, B, C, D and E are standing in a line facing North. E is standing 40 metres left to B. A is standing 20 metres left to C. D is standing 20 metres right to E and 50 metres right to C. Where is B standing from D?

20 metres right

30 metres right

40 metres right

40 metres left

15. If + means ÷, ÷ means –, – means x and x means +, what will be the value of the following expression: 8 + 4 ÷ 3 m 5 – 9 = ?

44

53

62

64

8 ÷ 4 – 3 + 5 × 9
= 2 – 3 + 45 = 44

Explanation

8 ÷ 4 – 3 + 5 × 9
= 2 – 3 + 45 = 44

16. Choose the correct alternative from the given ones that will complete the series. 41, 43, 47, 53, ?

59

63

61

65

41, 43, 47, 53, 61 because there is gap of +2, +4, +6, +8.

Explanation

41, 43, 47, 53, 61 because there is gap of +2, +4, +6, +8.

17. In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation. 8 m 5 m 0 = 805, 7 m 4 m 6 = 764, 6 m 8 m 9 = ?

689

698

968

986

From the shifting of digits of numbers.

Explanation

From the shifting of digits of numbers.

18. For the following questions Find the odd word/letters/number from the given alternatives.

6336

4574

4884

2662

45 – 74 is not same digit in both Numbers.

Explanation

45 – 74 is not same digit in both Numbers.

19. A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 206, 309, 412, ?, 618, 721

751

749

515

514

There is +103 in every pair.

Explanation

There is +103 in every pair.

20.

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

1520 m2

2420 m2

2480 m2

2520 m2

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.

Solving the two equations, we get: l = 63 and b = 40.

Area = (l x b) = (63 x 40) m² = 2520 m².

Explanation

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.

Solving the two equations, we get: l = 63 and b = 40.

Area = (l x b) = (63 x 40) m² = 2520 m².

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

25% increase

50% increase

50% decrease

75% decrease

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

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

22. For the following questions Find the odd word/letters/number from the given alternatives.

Potato

Tomato

Ginger

Carrot

Tomato is different because it grow above the earth.

Explanation

Tomato is different because it grow above the earth.

23. Which of the following figures correctly represents the relations between: Doctors, Lawyers, Professionals

A

B

C

D

24. Select the missing number from the given alternatives.

9

8

7

6

7 × 8 + 4 = 60,
9 × 9 + 9 = 90
8 × 8 + 6 = 70

Explanation

7 × 8 + 4 = 60,
9 × 9 + 9 = 90
8 × 8 + 6 = 70

25. A laborer can do a job in 50 hours. After 5 hours he takes a break. What fraction of the job is yet to be done?

0.8

0.5

0.75

0.9

Explanation

26. Arrange the following words as per order in the dictionary. 1. Launch 2. Laugh 3. Lattice 4. Latent 5. Latitude

4, 5, 3, 2, 1

4, 3, 5, 1, 2

4, 5, 1, 2, 3

4, 5, 1, 3, 2

Correct dictionary order is :-
4. Latent
5. Latitude
3. Lattice
2. Laugh
1. Launch

Explanation

Correct dictionary order is :-
4. Latent
5. Latitude
3. Lattice
2. Laugh
1. Launch

27. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

30%

33 1 % 3

35%

44%

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs.		5	x 30		= Rs. 25.
		6

S.P. of 30 articles = Rs.		6	x 30		= Rs. 36.
		5

Gain % =		11	x 100	% = 44%.
		25

Explanation

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs.		5	x 30		= Rs. 25.
		6

S.P. of 30 articles = Rs.		6	x 30		= Rs. 36.
		5

Gain % =		11	x 100	% = 44%.
		25

28. A man has Rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

45

60

75

90

Let number of notes of each denomination be x.

Then x + 5x + 10x = 480

16x = 480

x = 30.

Hence, total number of notes = 3x = 90.

Explanation

Let number of notes of each denomination be x.

Then x + 5x + 10x = 480

16x = 480

x = 30.

Hence, total number of notes = 3x = 90.

29. A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. ZYX, VUT, QPO, MLK, HGF, ?

DCB

CBA

BCD

EDC

30. A word is represented by only one set of numbers as given in any one of the alternatives. The Sets of numbers given in the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'K' can be represented by 42, 34 etc and 'Z' can be represented first by its row and next by its column, for example 'K' can be represented by 42, 34 etc and 'Z' can be represented by 87, 78 etc. Similarly, you have to identify the set for the word 'REAL'.

21,10,85,96

85,10,31,04

14,02,58,88

20,20,77,56

31. If 'WZB' stands for 'DAY', how will you code 'MONDAY'?

NLMWZB

PLOWZB

NMLWZB

PQRWZB

Opposite letter group of pair so, NLMWZB.

Explanation

Opposite letter group of pair so, NLMWZB.

32. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

3.5

4.5

5.6

6.5

Cost Price of 1 toy = Rs.		375		= Rs. 31.25
		12

Selling Price of 1 toy = Rs. 33

So, Gain = Rs. (33 - 31.25) = Rs. 1.75

Profit % =		1.75	x 100	%	=	28	% = 5.6%
		31.25				5

Explanation

Cost Price of 1 toy = Rs.		375		= Rs. 31.25
		12

Selling Price of 1 toy = Rs. 33

So, Gain = Rs. (33 - 31.25) = Rs. 1.75

Profit % =		1.75	x 100	%	=	28	% = 5.6%
		31.25				5

33. Select the odd word from the given alternatives.

700

250

350

640

Except 640, all are multiples of 50.

Explanation

Except 640, all are multiples of 50.

34. A series is given, with one word missing. Choose the correct alternative from the given ones that will complete the series. Oxygen, Toil, Arouse, Arson, Tenuous, ?

Onion

Lustrous

Lion

Onto

Position of letter ‘O’ shifts to its right.

Explanation

Position of letter ‘O’ shifts to its right.

35.

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

14 km

15 km

16 km

17 km

Let the distance travelled on foot be x km.

Then, distance travelled on bicycle = (61 -x) km.

So,	x	+	(61 -x)	= 9
	4		9

9x + 4(61 -x) = 9 x 36

5x = 80

x = 16 km.

Explanation

Let the distance travelled on foot be x km.

Then, distance travelled on bicycle = (61 -x) km.

So,	x	+	(61 -x)	= 9
	4		9

9x + 4(61 -x) = 9 x 36

5x = 80

x = 16 km.

36. Arrange the following words as per order in the dictionary: 1. Zeal 2.Zebra 3.Zygote 4.Zinc 5.Zest

1, 2, 5, 3, 4

1, 2, 5, 4, 3

1, 5, 2, 4, 3

1, 5, 2, 3, 4

Correct sequence is – Zeal, Zebra, Zest, Zinc, Zygote.

Explanation

Correct sequence is – Zeal, Zebra, Zest, Zinc, Zygote.

37. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Rs. 18.20

Rs. 70

Rs. 72

Rs. 88.25

C.P. = Rs.		100	x 392		= Rs.		1000	x 392		= Rs. 320
		122.5					1225

Profit = Rs. (392 - 320) = Rs. 72.

Explanation

C.P. = Rs.		100	x 392		= Rs.		1000	x 392		= Rs. 320
		122.5					1225

Profit = Rs. (392 - 320) = Rs. 72.

38. Spring : Spiral : : Bangle : ?

Glass

Circle

Ornament

Gold

Shape of spring is spiral
& shape of bangle is circle

Explanation

Shape of spring is spiral
& shape of bangle is circle

39. Bhavin's birthday is on Monday 29th May. On what day of the week will be Rachit's Birthday in the same year if Rachit was born on 17th November?

Saturday

Wednesday

Sunday

Friday

40. The weights of 4 boxes are 90, 40, 80 and 50 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

200

260

180

170

260 = 90 + 40 + 80 + 50
180 = 90 + 40 + 50
170 = 90 + 80
200 = Not a possible combination

Explanation

260 = 90 + 40 + 80 + 50
180 = 90 + 40 + 50
170 = 90 + 80
200 = Not a possible combination

41. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

4 months

5 months

6 months

8 months

Suppose B joined for x months. Then,

Then,		85000 x 12	=	3
		42500 x x		1

x =		85000 x 12		= 8.
		42500 x 3

So, B joined for 8 months.

Explanation

Suppose B joined for x months. Then,

Then,		85000 x 12	=	3
		42500 x x		1

x =		85000 x 12		= 8.
		42500 x 3

So, B joined for 8 months.

42. A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew

of his capital and B withdrew

of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

Rs. 330

Rs. 360

Rs. 380

Rs. 430

A : B =

4x x 3 +

4x -

1

x 4x

x 7

:

5x x 3 +

5x -

1

x 5x

x 7

4

5

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs.		760 x	33		= Rs. 330.
			76

Explanation

A : B =

4x x 3 +

4x -

1

x 4x

x 7

:

5x x 3 +

5x -

1

x 5x

x 7

4

5

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs.		760 x	33		= Rs. 330.
			76

43. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

84

90

168

336

Let the length of the wire be h.

Radius =	1	mm	=	1	cm.	Then,
	2			20

	22	x	1	x	1	x h = 66.
	7		20		20

h =		66 x 20 x 20 x 7		= 8400 cm = 84 m.
		22

Explanation

Let the length of the wire be h.

Radius =	1	mm	=	1	cm.	Then,
	2			20

	22	x	1	x	1	x h = 66.
	7		20		20

h =		66 x 20 x 20 x 7		= 8400 cm = 84 m.
		22

44.

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

720

900

1200

1800

2(15 + 12) x h = 2(15 x 12)

h =	180	m =	20	m.
	27		3

Volume =

15 x 12 x

20

m³

= 1200 m³.

Explanation

2(15 + 12) x h = 2(15 x 12)

h =	180	m =	20	m.
	27		3

Volume =

15 x 12 x

20

m³

= 1200 m³.

45. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

11 days

13 days

20 3 days 17

None of these

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x x =		23 x 13		x =	299	.
		10			10

A's 1 day's work =	1	;
	23

B's 1 day's work =	10	.
	299

(A + B)'s 1 day's work =		1	+	10		=	23	=	1	.
		23		299			299		13

Explanation

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x x =		23 x 13		x =	299	.
		10			10

A's 1 day's work =	1	;
	23

B's 1 day's work =	10	.
	299

(A + B)'s 1 day's work =		1	+	10		=	23	=	1	.
		23		299			299		13

46. A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

35

36 2 3

37+1/2

40

Let distance = x km and usual rate = y kmph.

Then,	x	-	x	=	40	2y(y + 3) = 9x ....(i)
	y		y + 3		60

And,	x	-	x	=	40	y(y - 2) = 3x ....(ii)
	y -2		y		60

On dividing (i) by (ii), we get: x = 40.

Explanation

Let distance = x km and usual rate = y kmph.

Then,	x	-	x	=	40	2y(y + 3) = 9x ....(i)
	y		y + 3		60

And,	x	-	x	=	40	y(y - 2) = 3x ....(ii)
	y -2		y		60

On dividing (i) by (ii), we get: x = 40.

47. A man can row three-quarters of a kilometre against the stream in 11

minutes and down the stream in 7

minutes. The speed (in km/hr) of the man in still water is:

2

3

4

5

We can write three-quarters of a kilometre as 750 metres,

and 11 minutes as 675 seconds.

Rate upstream =		750	m/sec	=	10	m/sec.
		675			9

Rate downstream =		750	m/sec	=	5	m/sec.
		450			3

Rate in still water =	1		10	+	5	m/sec
	2		9		3

=	25	m/sec
	18

=		25	x	18	km/hr
		18		5

= 5 km/hr.

Explanation

We can write three-quarters of a kilometre as 750 metres,

and 11 minutes as 675 seconds.

Rate upstream =		750	m/sec	=	10	m/sec.
		675			9

Rate downstream =		750	m/sec	=	5	m/sec.
		450			3

Rate in still water =	1		10	+	5	m/sec
	2		9		3

=	25	m/sec
	18

=		25	x	18	km/hr
		18		5

= 5 km/hr.

48. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

6 days

10 days

15 days

20 days

Work done by X in 4 days =		1	x 4		=	1	.
		20				5

Remaining work =		1 -	1		=	4	.
			5			5

(X + Y)'s 1 day's work =		1	+	1		=	8	=	2	.
		20		12			60		15

Now,	2	work is done by X and Y in 1 day.
	15

So,	4	work will be done by X and Y in		15	x	4		= 6 days.
	5			2		5

Hence, total time taken = (6 + 4) days = 10 days.

Explanation

Work done by X in 4 days =		1	x 4		=	1	.
		20				5

Remaining work =		1 -	1		=	4	.
			5			5

(X + Y)'s 1 day's work =		1	+	1		=	8	=	2	.
		20		12			60		15

Now,	2	work is done by X and Y in 1 day.
	15

So,	4	work will be done by X and Y in		15	x	4		= 6 days.
	5			2		5

Hence, total time taken = (6 + 4) days = 10 days.

49.

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:

2 : 3

3 : 2

3 : 4

4 : 3

Let the speed of the train be x km/hr and that of the car be y km/hr.