Arithmetic Aptitude Previous Question Answers PSC, UPSC, SSC, IBPS

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Arithmetic Aptitude Previous Questions from PSC, UPSC and SSC

Sixteen men and twelve women together can complete a work in 8 days. Twenty men can complete the same work in 16 days. How many days will sixteen women take to complete the same work ?
Asked : IBPS Regional Rural Bank PO September 2014
A40 days
B30 days
C24 days
D20 days
E10 days

Explanation:

According to question,

By formula , M₁D₁ = M₂D₂

(16M+12W) 8 =(20M) 16

16M + 12W = 40M

24M = 12W

2M=100

16 women = 16×2 = 32 M

Again M₁D₁ = M₂D₂

32×D₁=16×20

D₁=10 days

The sum of two numbers is 6more than twice the smaller number. If the difference between these two numbers is 6, what is definitely the smaller number ?
Asked : IBPS Regional Rural Bank PO September 2014
A18
B20
CData provided are not adequate to answer the question

D12
E24
Explanation:

Let the smaller number be y and larger number be x.

according to question,

x+y=6+2y

x-y=6 →(1)

x-y=6 →(2)

Equations (1) and (2) cannot be solved.

Directions (Next Five Questions) : Study the following information in the passage and answer the given questions.

There are 19000 students in college ‘P’. Each of them are studying either one or more of the given languages—Japanese, Korean and Latin. The respective ratio of male and female students is 9:11

14% of the male students study only Japanese, 12% study only Korean and 20% study only Latin. 16% of the male students study only Japanese and Korean, 22% Study only Korean and Latin and 8% study only Japanese and Latin. The remaining male students study all the given languages. 22% of the female students study only Japanese, 18% study only Korean and 20% study only Latin. 12% of the female students study only Japanese and Korean, 16% study only Korean and Latin and 10% study only Japanese and Latin. The remaining female students study all the given languages.

Applicable only to next question

Number of male students who do not study Korean is what percent of the number of female students in college P ?
Asked : IBPS Regional Rural Bank PO September 2014
A34 4/11%

B37 1/11%
C38 2/11%
D33 3/11%
E32 4/11%
Explanation:

Total students = 19000

Total Boys = 8550

Total Girls = 10450

Number of male students who do not study Korean = 1197+1710+684 = 3591

Total number of female students = 10450

Required percentage = 3591/10450 ×100

= 34 4/11%

What is the difference between number of female students who study Latin and number of male students who study the same ?
Asked : IBPS Regional Rural Bank PO September 2014
A43
B76
C83
D62
E57

Explanation:

Total students = 19000

Total Boys = 8550

Total Girls = 10450

Number of female students who study Latin = 209+1672+2090+1045 =5016

Number of male students who study Latin = 684 +1881 + 1710 + 684 = 4959

Required difference = 5016-4959 = 57

What is the respective ratio between number of male students who study Korean and number of female students who study the same ?
Asked : IBPS Regional Rural Bank PO September 2014
A58:59
B57:58
C87:88

D63:64
E61:62
Explanation:

Required ratio = 4959/5016

=87/88

How many male students study Japanese ?
Asked : IBPS Regional Rural Bank PO September 2014
A3889
B3572
C3933

D3782
E3258
Explanation:

Total students = 19000

Total Boys = 8550

Total Girls = 10450

JApanese male Students = 1197+1368+684+684

= 3933

Number of male students who study more than one of the given languages is what percent is more than the number of female students who study more than one of the given languages?
Asked : IBPS Regional Rural Bank PO September 2014
A12 2/13%
B10 5/11%

C10 1/11%
D18 1/13%
E13 1/11%
Explanation:

Total students = 19000

Total Boys = 8550

Total Girls = 10450

Number of male students = 4617

Number of Female students = 4180

Required Percentage = (4617-4180/4180×100)%

= 10 5/11%

The ratio between the base and height of a right angled triangle is 4:5 respectively. If the area of the right angled triangle is 80 sq cm, what is the height of the triangle?
Asked : IBPS Regional Rural Bank PO September 2014
A16√2cm
B10cm
C8cm
D20cm
E10√2cm

Explanation:

Let the base and height of a right angled triangle be 4x and 5x respectively.

By formula,

Area of right angled triangle = ½×Base ×Height

80=½ ×4x × 5x

x² = 8

x = 2√2cm

∴ Height = 5x = 5× 2√2cm

= 10√2cm

One- fourth of two-fifth of 30 percent of a number is 15. What is 20 percent of that number ?
Asked : IBPS Regional Rural Bank PO September 2014
A100

B50
CData provided are not adequate to answer the question
D200
E75
Explanation:

Let the number be x.

According to question,

1/4×2/5×30% of x=15

1/4×2/5×30/100×x=15

∴ x = 500

20 Percent of that number = 20% of x

= 20/100 ×500

= 100

Directions (Next Five Questions) : What approximate value will come in place of the question mark(?) in the given questions ? (you are not expected to calculate exact value)

Applicable only to next question

12.95×7.05+85.01²×10.99=?
Asked : IBPS Regional Rural Bank PO September 2014
A77586
B77776
C79566

D78356
E76876
Explanation:

? = 12.95×7.05+85.012×10.99

? ≈ 13×7+85×85×11

? ≈ 91+79475

? ≈ 79566

17.99²-14.05²+(2343.75+81.55)÷?=229
Asked : IBPS Regional Rural Bank PO September 2014
A32
B39
C24

D28
E12
Explanation:

17.99²-14.05²+(2343.75+81.55) ÷? = 229

324-196+2426÷? = 229

? = 2426/101

= 24.01

≈24

423.62-269.21+(11.9% of 78)=?
Asked : IBPS Regional Rural Bank PO September 2014
A525
B455
C645
D395

E275
Explanation:

solution,

? = 423.62-269.21÷(11.9% of 78)

? = 423.62-269.21÷(11.9/100×78)

? = 424-269 ÷9.282

? = 424-30=394≈395

3/5 of 7/19 of 15/28 of 543=?
Asked : IBPS Regional Rural Bank PO September 2014
A88
B44
C72
D50
E64

Explanation:

3/5 × 7/19 × 15/28 × 543 =?

? = 64.30 ≈64

899.99+45.012 ? -224.488
Asked : IBPS Regional Rural Bank PO September 2014
A185
B395
C295
D245

E355
Explanation:

900÷45 = ?-225

20≈ ?-225

? ≈ 225 + 20

? ≈ 245

The difference between the simple interest and the compound interest compounded annually at the same rate of interest on a sum of money at the end of two years is INR 50/-. What is definitely the rate of interest percent per annum?
Asked : IBPS Regional Rural Bank PO September 2014
A10%
B4%
CData provided are not adequate to answer the question

D5%
E7.5%
Explanation:

Let the rate of interest be INR x.

Difference between SI and CI = INR 50/-

Applying formula,

Difference = PR²/100²

But P is not provided. Therefore, we cannot solve it due to insufficient data.

The total present ages of P and Q is 25 years more than the present age of R. If present age of Q is 5 years older than R, what is P’s present age ? ( In years)
Asked : IBPS Regional Rural Bank PO September 2014
A20

BData provided are not adequate to answer the question
C40
D35
E30
Explanation:

Present age of P+Q = 25+R →(1)

and Q = 5+R

∴ Q-R =5 →(2)

From equation (1) we get,

P+Q-R=25

Putting the value of equation (2) in equation (1)

∴ P+5=25

P = 20Years

A’s monthly income INR 10,000/- less than B’s monthly income. B’s monthly income is INR 15,000/- less than C’s monthly income. If the total monthly income of A,B and C together is INR 65,000/-, what is A’s monthly income ?
Asked : IBPS Regional Rural Bank PO September 2014
AINR 10,000/-

BINR 15,000/-
CINR 20,000/-
DNone of the answers given is correct
EINR 5,000/-
Explanation:

Let C's monthly income is INR x.

∴ B's monthly income = INR(x-15000)

∴ A's monthly income = (x-15000)-10000

=INR (x-25000)

∴ Total monthly income of A, B and C together

=x+(x-15000)+(x-25000)

3x-40000=65000

3x=65000+40000

x=35000

∴ A's monthly income = x-25000

= 35000-25000

=INR 10,000/-

The numerical value of area of a rectangular field is 90 times the numerical value of its breadth. If the perimeter of the filed is 240m, what is the breadth of the field ?
Asked : IBPS Regional Rural Bank PO September 2014
A60m
BData provided are not adequate to answer the question
C30m

D20m
E15m
Explanation:

Area of rectangular field= L×B

∴ L × B = 90×B ⇒ L =90m

Perimeter of the field = 2(L+B)

∴ 2(L+B) = 240

L+B = 120

∴ 90+B=120

B=120-90

=30m

Directions (Next Five Questions)) : Refer to the table and answer the given questions.

Data related to number of employees in Six Companies during 6 years

Companies	I		J		K		L		T		N
Gender/Year	M	F	M	F	M	F	M	F	M	F	M	F
2004	142	136	144	111	138	97	162	145	148	121	145	118
2005	165	171	161	136	194	134	219	183	180	178	212	177
2006	139	145	164	157	152	129	178	191	212	162	241	184
2007	217	198	179	211	254	168	277	234	263	198	333	259
2008	265	232	348	356	238	278	298	313	310	216	321	316
2009	372	242	321	238	281	267	245	214	396	230	339	303

Note : M = Male : F = Female

Applicable only to next question

What is the respective ratio between total number of employees (male and female) in companies J,K and N together in 2005 and total number of employees (male and female) in the same companies together in 2007?
Asked : IBPS Regional Rural Bank PO September 2014
A11:16
B13:16
C9:14
D11:18
E13:18

Explanation:

Total number of employees in companies J,K and N together in 2005 = 1014

Total number of employees in companies J,K and N together in 2007 = 1404

∴ Required ratio = 1014:1404

= 13:18

Total number female employees in company J during all the given years together is what percent of the total number of male employees in Company I during all the given years together ?
Asked : IBPS Regional Rural Bank PO September 2014
A87%
B93%

C89%
D91%
E95%
Explanation:

Total number of female employees in company J = 1209

Total number of male employees in company I = 1300

∴ Required Percentage = 1209/1300×100

= 93%

In which of the given years is percentage increase in the number of male employees of Company T from previous year the highest ?
Asked : IBPS Regional Rural Bank PO September 2014
A2009

B2007
C2008
D2005
E2006
Explanation:

For company T,

Percentage increase in 2004-2005

=180-148/148×100

=21.62%

Percentage increase in 2005-2006

= 212-180/180 ×100

=17.77%

Percentage increase in 2006-2007

= 263-212/212×100

=24.05%

Percentage increase in 2007-2008

= 310-263/263×100

=17.87%

Percentage increase in 2008-2009

= 396-310/310×100

= 27.74%

Total number of female employees in company L in 2004, 2005, 2006 and 2007 together is what percent more than the total number of female employees in company T in the same years together ? (Rounded off to nearest integer)
Asked : IBPS Regional Rural Bank PO September 2014
A20%
B14%

C18%
D12%
E16%
Explanation:

Total number of female employees in company L = 753

Total number of female employees in company T = 659

∴ Required Percentage = 753-659/659 ×100

=14%

What is the difference between average number of male employees in all the given companies in 2006 and average number of female employees in all the given companies in 2009?
Asked : IBPS Regional Rural Bank PO September 2014
A68

B64
C58
D52
E74
Explanation:

Total number of male employees in 2006 = 1086

∴ Average = 1086/6 = 181

Total number of female employees in 2009 = 1494

∴ Average = 1494/6 = 249

∴ Required difference = 249-181 = 68

Directions (Next Five Questions) : what will come in place of the question mark (?) in the given number series ?

Applicable only to next question

2 4 10 ? 82 244
Asked : IBPS Regional Rural Bank PO September 2014
A28

B30
C46
D48
E34
Explanation:

Solution : 2×3-2 = 4

4×3-2 = 10

10×3-2 = 28

28×3-2 = 82

82×3-2 = 244

44 ? 99 148.5 222.75 334.125
Asked : IBPS Regional Rural Bank PO September 2014
A72
B77
C66

D54
E84
Explanation:

Solution is,

44×1.5 = 66

66×1.5 = 99

99×1.5 = 148.5

148.5×1.5 = 222.75

222.75×1.5 = 334.125

20 23 30 43 64 ?
Asked : IBPS Regional Rural Bank PO September 2014
A85
B92
C95

D99
E88
Explanation:

33 16.5 ? 24.75 49.5 123.75
Asked : IBPS Regional Rural Bank PO September 2014
A16.5

B13.5
C22.5
D20.5
E12.5
Explanation:

Solution is,

33×0.5 =16.5

16.5×1 =16.5

16.5×1.5 =24.75

24.75×2 =49.5

49.5×2.5 =123.75

3600 1800 600 150 30 ?
Asked : IBPS Regional Rural Bank PO September 2014
A10
B5

C6
D15
E7.5
Explanation:

3600÷2 = 1800

1800÷3 = 600

600÷4 =150

150÷5=30

30÷6=5

Directions (Next Five Questions) : In the following questions, two equations are given. You have to solve both the equations and give answer.

Applicable only to next question

I. x²+x-20=0

II. y²-y-30=0
Asked : IBPS Regional Rural Bank PO September 2014
Ax=y or relationship cannot be decided

Bx>y
Cx
Dx≤y
Ex≥y
Explanation:

I. x²+x-20=0

x²+5x-4x-20=0

x(x+5)-4(x+5)=0

(x+5)(x-4)=0

x=4,-5

II. y²-y-30=0

y²-6y+5y-30=0

y(y-6)+5(y-6)=0

(y-6)(y+5)=0

y = -5, 6

∴ Relationship cannot be decided

I. 6x²-29x+35=0

II 3y²-11y+10=0
Asked : IBPS Regional Rural Bank PO September 2014
Ax≥y
Bx=y or relationship cannot be decided
Cx≤y
Dx>y

Ex
Explanation:

I. 6x²-29x+35=0

6x²-15x-14x+35=0

3x(2x-5)-7(2x-5)=0

(2x-5)(3x-7)=0

x = 2.3, 2.5

II. 3y²-11y+10=0

3y²-6y-5y+10=0

3y(y-2)-5(y-2)=0

(y-2)(3y-5)=0

y=1.6, 2

∴ x>y