Clerk Express – Quantitative Aptitude 1

In Clerk Express
November 2, 2015

Good Morning Friends..!!! Its Monday, the first day of the work week. It’s time to start our IBPS Clerk Express. So lets begin with our first quiz and try to work out all the problems. These questions will be useful for both prelims and mains as well. Every Maths quiz will have 15 question and answers also will be provided but, we want you to solve or at least try before viewing the answers.

We strongly recommend you to go through and practice tricks from our Math Shortcuts PDF. It will save one third of your time.

Data Interpretation:-

This is one of the easiest and scoring part. If you have good practice one can easily score full marks. In prelims at least 2 sets (5 questions) and in mains at least for 4 sets (20 questions) will be asked from this topic. As there are so many types of problems in this topic so every day we will provide you with different types.

Mixed Graph:

Study the following graph and the table and answer the questions given below: Data of different states regarding population of states in the year 1998. And total population of the given states = 3276000

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State	Sex and Literary-wise population Ratio
	Sex		Literacy
	Male	Female	Literate	Illiterate
AP	5	3	2	7
MP	3	1	1	4
Delhi	2	3	2	1
Goa	3	5	3	2
Bihar	3	4	5	1
UP	3	2	7	2
TN	3	4	9	4

1) What was the number of males in UP in the year 1998?

(1) 254650 (2) 294840 (3) 321470 (4) 341200 (5) None of these

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Ans:(2) Total population in UP = 15% of 3276000

No. of males in UP = 3/5 *15/100*3276500 = 294840

2) What was the total number of illiterate people in AP and MP in 1998?

(1) 876040 (2) 932170 (3) 981550 (4) 116110 (5) none of these

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Ans: (4) No. of illiterate people in AP = 7/9 * 25/100* 3276000 = 637000

No. of illiterate people in MP = 4/5 * 20/100 * 3276000 = 524160

Total No = 116110

3) What is the ratio of number of females in TN to the number of females in Delhi?

(1) 7:5 (2) 9:7 (3) 13:11 (4) 15:14 (5) None of these

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Ans: (4) No. of females in TN = 4/7 * 9/100 * 3276000 = 168480

No. of females in Delhi = 3/5 * 8/100 * 3276000 = 157248

Ratio = 168480: 157248 = 15 : 14

4) What will be the percentage of total number of males in UP, MP and goa together to the total population of all the given states?

(1) 25% (2) 27.5% (3) 28.5% (4) 31.5% (5) None of these

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Ans: (3)

State	No of Males
UP	3/5 * 15/100 * 3276000 = 294840
MP	3/4 * 20/100 * 3276000 = 491400
Goa	3/8 * 12/100 * 3276000 = 147420

Toatl No. of males in these state = 294840+491400+147420 = 933660

Hence req % = [933660/3276000] *100 = 28.5%

Series:-

This is also an another scoring part of any bank exam. There are three types of problems that could be asked in the exam like, to find the missing number in the series, to find the wrong number in the series and having two series. And we will provide you quizzes based on different types everyday.

Find out the wrong number in the series:

1) 16, 19, 21, 30, 46, 71, 107

(1) 19 (2) 21 (3) 30 (4) 46 (5) 71

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Ans: (1) Pattern: 107-71=36=6², 71-46=25=5², 46-30=16=4², 30-21=9=3², 21-19=2≠2². So 19 should be replaced by 17 for which 21-17=2²

2) 380, 188, 92, 48, 20, 8, 2

(1) 8 (2) 20 (3) 48 (4) 188 (5) None of these

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Ans: (3) Pattern: 380-188=192, 188-92=96, 92-48=44, 48-20=28, (here it should be 44 instead of 48 because”96/2″ is “48” so “92-44=48”) so now 44-20=24, 20-8=12, 8-2=6

3) 3, 2, 3, 6, 12, 37.5, 115.5

(1) 37.5 (2) 3 (3) 6 (4) 2 (5) 12

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Ans: (5) Pattern: 3*0.5+0.5=2, 2*1+1=3, 3*1.5+1.5=6, 6*2+2=14 but here it is 12 So 12 is wrong

4) 24576, 6144, 1536, 386, 96, 24

(1) 96 (2) 386 (3) 1536 (4) 6144 (5) None of these

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Ans: (2) Pattern: 24576/4=6144, 6144/4=1536, 1536/4=384 but here it is 386 so 384 is wrong

5) 4.5, 16, 25, 33, 38.5, 42, 43.5

(1) 33 (2) 38.5 (3) 42 (4) 43.5 (5) 25

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Ans: (5) Pattern: 4.5+11.5=16, 16+9.5=25.5 (and not 25 so it is wrong), 25.5+7.5=33, 33+5.5=38.5, 38.5+3.5=42, 42+1.5=43.5

Mixed Questions:-

Here we will provide you problems based on rest of the topics like probability, Time and work, Time and Distance, SI & CI, Data Sufficiency and etc.

1) Rita invested 25% more than Sunil. Sunil invested 30% less than Abhinav who invested Rs. 6000. What is the respective ratio between the amount that Rita invested and the total amount invested by all of them together?

(1) 35:104 (2) 13:29 (3) 101:36 (4) 35:103 (5)None of these

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Ans: (4)

Investment of Abhinav= Rs. 6000

Investment of Sunil = 6000* [(100-30)/100] = Rs. 4200

Investment of Rita = 4200 * [(100+25)/100] = Rs. 5250

Investment by all =6000+5250 = Rs. 15450

Ratio= 5240 : 15450 = 35:103

2) A man gets a Simple Interest of Rs. 1000 on a certain principal at the rate of 5% per annum in 4 years. What Compound Interest will the man get on twice the principal in two years at the same rate?

(1) 1050 (2) 1005 (3) 11025 (4) 10125 (5) None of these

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Ans: (5)

Principe= [(1000*100)/(5*4)] = Rs. 5000

CI= 10000[(1+5/100)²-1]

=10000*41/100 = Rs. 1025

3) The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square?

(1) 38.57 cm (2) 23.57 cm (3) 42.46 cm (4) 47.47 cm (5) None of these

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Ans: (1)

Perimeter of square = 2* 2(8+7) = 60 cm

4a = 60cm

a=15 cm

Diameter = 15 cm ∴ radius = 7.5 cm

Circumference of semicircle = πr + 2r = 22/7 * 7.5 + 2* 7.5 = 38.57 cm

4) Radha’s present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj’s present age and Radha’s present age is 4:9. What will be Raj’s age after 5 years?

(1) 12 yrs (2) 7 yrs (3) 21 yrs (4) Cannot be determined (5) None of these

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Ans: (5) Present of Radha = x yrs

x+3 = 2(x-12)

x+3 = 2x-24

x=27

present ratio of Raj:Radha = 4:9

present age of Raj= 27/9 * 4 = 12

After 5 yrs Raj’s age = 12+5= 17 yrs

5) The respective ratio between the speeds of a car, a train, and a bus is 5:9:4 . The average speed of the car, the bus and the train is 72 Km/hr together. What is the average speed of the car and the train together?

(1) 82 km/hr (2) 78 km/hr (3) 84 km/hr (4) Cannot be determined (5) None of these

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Ans: (3) Total speed of car, bus and train = 72*3 = 216 km

Speed of car and train = [(5+9)/(5+9+4)]*216 = 168 km

Average = 168/2 = 84 km

Happy Reading!!!