**Directions(1-10): **What approximate value will come in place of question mark “?” in the following questions.

- 15.5% of 849 + 24.8% of 651 = ?
300325295414221Option C

15.5% of 849 + 24.8% of 651 = ?

=>?= 131.75+ 161.2 = 292.95 == 295 - 4376 + 3209 – 1784 + 97 = 3125 + ?

26602552212027732250Option D

4376 + 3209 – 1784 + 97 = 3125 + ?

=>?= 7682 – 4909 = 2773 - 85% of 420 + ?% of 1080 = 735
3544332830Option A

85% of 420 + ?% of 1080 = 735

=> ? = 35 - 30% of 1225 – 64% of 555 = ?
1098612Option E

30% of 1225 – 64% of 555 = ?

? = 367.5 – 355.2 = 12.3 == 12 - 39.95% of 265 + 35.2% of 178 = 50% of ? + ?% of 80

140130120100110Option B

39.95% of 265 + 35.2% of 178 = 50% of ? + ?% of 80

=>106 + 63 = 0.5 ×?+ ?/ 100 × 80

=> 16900 = 130 ×?

=> ?= 130 - 16.217 × 23.88 + ? = 18.98 × 32.12
218230250224212Option D

16.217 × 23.88 + ? = 18.98 × 32.12

=>16 × 24 + ? = 19 × 32

=> ? = 608 – 384 = 224 - 27.897 × 16.21 = ? × 13.98 + 69.87
2520222327Option E

27.897 × 16.21 = ? × 13.98 + 69.87

=>28 × 16 = ? × 14 + 70

=>448 = ? × 14 + 70

=> ? = 378/14 = 27 - 272.112 + 189.98 + 84.101 = ? × 12.89 × 6.11

57329Option B

272.112 + 189.98 + 84.101 = ? × 12.89 × 6.11

=>272 + 190 + 84 = ? × 13 × 6

=> ? = 546/13×6 = 7 - (421.98 + 478.21) ÷ ? = 60.029

1210151319Option C

(421.98 + 478.21) ÷ ? = 60.029

=>(422 + 478) ÷ ? = 60

=> ? = 900/60 = 15 - √257 × 19.17 + 8.15 × 13.78 = ?

333395420400416Option E

√257 × 19.17 + 8.15 × 13.78 = ?

? = √256 × 19 + 8 × 14

=>? = 16 × 19 + 8 × 14 = 416 - A boat travel 75 km downstream and take same time as it travels 60 km in upstream. Speed of boat in downstream is what percent of the speed of boat in still water.

112(1/7)%117(1/5)%100(1/3)%111(1/9)%120(1/5)%Option D

75/(𝑥 + 𝑦) = 60/( 𝑥 – 𝑦)

=> 75x – 75y = 60x + 60y

=>15x = 135y

=>x = 9y

Required percentage = 10y /9y × 100 = 111(1/9)% - 40 men, working 8 hours a day can do a piece of work in 15 days. Find the number of days in which second group of 60 men working 4 hrs a day can do twice the work. Assume that 3 men of the first group do as much work in 2 hour as 4 men of the second group do in 3 hrs.

8050607090Option A

Let efficiency of men of first group is M1 and second group

3M1 × 2 = 4M2 × 3

M1 = 2M2

work = 40M1 × 8 × 15

According to question,

40M1 × 8 × 15 × 2 = 60M2 × 4 × d

d = 80 days - If the volume and curved surface area of a cylinder 616 𝐦^𝟑 and 352m^2 respectively, what is the total surface area of the cylinder (in 𝐦^𝟐 )?

420 m^2444 m^2450 m^2429 m^2414 m^2Option D

Πr^ 2h/2πrh = 616/352

r = 3.5 m

𝜋𝑟 ^2ℎ = 616

h = 616/(11 × 3.5) = 16 m

Total S.A. = 2𝜋𝑟ℎ + 2𝜋𝑟^2

= 2πr(h + r) = 2 × 22/7× 3.5(3.5 + 16) = 429 m^2 - 14 men can do a work in 18 days ,15 women can do a work in 24 days. If 14 men work for first three days and 10 women work after that for three days find the part of work left after that?

2/137/112/53/41/6Option D

Work done in first 3 days = 3 × 1/18 = 1/6

Work done in next 3 days = 2/3 × 3 × 1/24 = 1/12

Remaining work = 1 – (1/6 + 1/12) = ¾ - Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1:2 and ratio of length and breadth of rectangle is 7:3. Find the length of the rectangle?

29 cm28 cm30 cm25 cm21 cmOption B

Let length and breadth are 7x, 3x

Perimeter = 20x

Circumference of circle = 20x + 8

Radius of circle = 1/2 × 7x = 3.5x

=>2x + 8 = 44/7 × 7x/2

=>x = 4

Length = 28 cm - The average marks in Science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?
9269718560Option B

Increase in average marks = [(72+61) – (48+65)]/20 = 133 – 113/ 20 = 20/20

Correct average = 68 +1 = 69 - A is 2 years older than B while B is 3 year younger than C. The ratio of age of A 6 years hence and B 2 years ago is 5:3. What was age of C 6 years ago?

18 years14 years16 years10 years12 yearsOption B

A ==B ==C

𝑥 + 2== 𝑥== 𝑥 + 3

( 𝑥 + 2 +6)/( 𝑥 − 2 ) = 5/3

( 𝑥 + 8)/(𝑥 – 2) = 5/2

=>3𝑥 + 24 = 5𝑥 −10

=> 34 = 2𝑥

=> 𝑥 = 17

Age of C, 6 year ago = 17 + 3 −6 = 14 years - Two trains crosses each other in 14 sec when they are moving in opposite direction, and when they are moving in same direction they crosses each other in 3 minute2 sec. Find the speed of the faster train by what percent more than the speed of the slower train?
14(1/7)%11(5/6)%16(2/3)%13(3/5)%10(1/4)%Option C

Let sum of length of both trains = L And speed = 𝑥 & 𝑦

𝐿/( 𝑥 –𝑦) = 182

𝐿/( 𝑥 + 𝑦) = 14

14( 𝑥 + 𝑦) = 182( 𝑥 –𝑦)

( 𝑥 – 𝑦)/(𝑥 + 𝑦) = 1/13

12𝑥 = 14𝑦

=>𝑥 = 7/6𝑦

Required percentage = (7−6)/ 6 × 100 = 16(2/3)% - Aman’s expense is 30% more than Vimal’s expense and vimal’s expense is 10% less than Raman’s expense. If the sum of their expenses is Rs. 6447, then what would be the Aman’s expense?

Rs.2562Rs.2457Rs.2331Rs.2120Rs.2200Option B

Aman== Vimal== Raman

117==90==100

307 – >6447

1 – > 6447/307

117 -> 6447/307*117 = Rs.2457 - In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. A student attempted all the 200 questions and scored in all 200 marks. The number of questions, he answered correctly was:
70908060120Option C

Let the number of corrected answer be ‘x’.

Number of wrong answer be (200- x)

4x – (200-x) = 200

=>x = 80 - (i) 2x² – 5x + 3 = 0

(ii) 3y² – 4y + 1 = 0

x >= yy > xy >= xy > xNo relation can be establishedOption A

(i) 2x² – 5x + 3 = 0

=> 2x² – 2x – 3x + 3 = 0

2x (x – 1) – 3(x – 1) = 0

(x – 1) (2x – 3) = 0

x = 1, 3/2

(ii) 3y² – 4y + 1 = 0

3y² – 3y – y + 1 = 0

3y(y – 1) –1 (y – 1) = 0

(3y – 1) (y – 1) = 0

y = 1/3 , 1

x >= y - (i) (x – 12)² = 0

(ii) y² – 21y + 108 = 0

y > xy >= xy > xNo relation can be establishedx >= yOption E

(i) (x – 12)² = 0

x – 12 = 0

x = 12

(ii) y² – 21y + 108 = 0

y² – 12y – 9y + 108 = 0

y (y – 12) – 9 (y – 12) = 0

(y – 9) (y – 12) = 0

y = 9, 12

x ≥ y - (i) 2x² + 7x + 5 = 0

(ii) 3y² + 12y + 9 = 0

x >= yy > xy >= xy > xNo relation can be establishedOption E

(i) 2x² + 7x + 5 = 0

2x² + 2x + 5x + 5 = 0

2x (x + 1) + 5 (x + 1) = 0

(2x + 5) (x + 1) = 0

𝑥 = – 5/2 , – 1

(ii) 3y² + 12y + 9 = 0

3y² + 9y + 3y + 9 = 0

3y (y + 3) +3 (y + 3) = 0

(3y + 3) (y + 3) = 0

y = –1, – 3

No relation can be established. - (i) x² + 2x – 35 = 0

(ii) y² + 15y + 56 = 0

y >= xy > xx >= yNo relation can be established.y > xOption C

(i) x² + 2x – 35 = 0

x² + 7x – 5x – 35 = 0

x (x + 7) – 5 (x + 7) = 0

(x – 5) (x + 7) = 0

x = 5, –7

(ii) y² + 15y + 56 = 0

y² + 7y + 8y + 56 = 0

y (y + 7) + 6 (y + 7) = 0

(y + 8) (y + 7) = 0

y = – 8, – 7

x ≥ y - (i) x² – 17x + 72 = 0

(ii) y² – 27y + 180 = 0

y >= xx >= yy > xNo relation can be establishedy > xOption E

(i) x² – 17x + 72 = 0

x² – 9x – 8x + 72 = 0

x(x – 9) – 8 (x – 9) = 0

(x – 8) (x – 9) = 0

x = 8, 9

(ii) y² – 27y + 180 = 0

y² – 12y – 15y + 180 = 0

y(y – 12) – 15 (y – 12) = 0

(y – 15) (y – 12) = 0

y = 15, 12

y > x - What is the average number of men from all the cities together?
2320015880189502610021280Option A

Average = [18373+14472+25474+15547+35235+30104]/6 == 23200 - What is the ratio of the number of women from city R to that from city T?

8001:90018311:92508125:92618401:91358413:9115Option D

Ratio = 54200*31/100 : 65250*28/100

= 8401:9135 - Which city has the lowest number of children?
PQRSTOption B

Q

P= 12571

Q= 8040

R =11924

S =8884

T =11745

U= 12496 - Total number of people from city U form approximately what per cent of the total number of people from all cities together?
12%10%17%19%13%Option D

Required% = 56.8/301.8*100 == 19% - The number of women from city S forms what per cent of that from city P?
120%100%115%125%130%Option C

Required% = 44.42*45%/48.35*36%*100 =114.84 == 115% - 11, 20, 38, 74,?
120125146150113Option C

+9, +18, +36, +72

? = 146 - 15, 21, 38, 65, 101, ?
162155130120145Option E

Double difference

? = 145 - 24, 28,19, 35, 10, ?

4446354038Option B

+2^ 2 ,−3^ 2 ,+4^ 2 ,−5 ^2

? = 46 - 7, 16, 45, 184, 915, ?
54965000512555005210Option A

× 2+ 2, × 3 − 3, × 4+ 4, × 5 – 5

? = 5496 - 12, 19, 35, 59, 90, ?
120118127110114Option C

Double difference

? = 127

**Directions(21-25):** Find the values of x and y and then choose a correct option.

**Directions(26-30):** Study the table carefully to answer the questions that follow: Number of people(in thousands) staying in 6 different cities and the percentage of men,women and children in those cities.

**Directions(31-35):** Find the missing term ‘?’ of the following series.