IBPS Clerk Main: Quants Day 13

Hello Aspirants,

Welcome to Online Quant Section in AffairsCloud.com. We are starting IBPS Clerk course 2015 and we are creating sample questions in Quantitative Aptitude section, type of which will be asked in IBPS Clerk Main Exam.

Stratus – IBPS Clerk Course 2015 

• IBPS Clerk Daily Test Questions
• IBPS Clerk Practice Test Questions

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1. 2 cards are drawn at random from a pack of 52 cards. Find the probability that either both are red cards or both are kings?
   A) 48/221
   B) 52/215
   C) 55/221
   D) 48/113
   E) 53/220
   
   Answer & Explanation

   C) 55/221
   Explanation:
   Prob. of both red = ²⁶C₂/⁵²C₂
   Prob. of both kings = ⁴C₂/⁵²C₂
   Since there are also cads which are both red and king, so we will subtract there prob. There are 2 red cards which are kings
   Prob. of both red and king = ²C₂/⁵²C₂
   So required prob. = ²⁶C₂/⁵²C₂ + ⁴C₂/⁵²C₂ – ²C₂/⁵²C₂
   
   
   
2. P, Q and R start a business and invests Rs 5000, Rs 6000 and Rs 6500 respectively. All of them withdraw Rs 500 after 4 months and after a total of 8 months from the start of business all invest Rs 500 more. At the end of year, what will be the ratio in which they will get their shares from the profit?
   A) 27 : 33 : 35
   B) 33 : 21 : 65
   C) 35 : 38 : 42
   D) 29 : 35 : 38
   E) 25 : 28 : 31
   
   Answer & Explanation

   D) 29 : 35 : 38
   Explanation:
   After 4 months all withdraw Rs 500 and after another 4 months (8 months from start) all add Rs 500. So this means 5000, 6000 and 6500 are invested for 4+4 = 8 months and with Rs 500 withdraw 4500, 5500 and 6000 are invested for 4 months respectively by A, B and C.
   So ratio =
   5000*8 + 4500*4 : 6000*8 + 5500*4 : 6500*8 + 6000*4
   U are not required to calculate all the values, rather u can cancel out common terms, take 400 common
   50*2 + 45 : 60*2 + 55 : 65*2 + 60
   Again take 5 common from all, this gives
   10*2 + 9 : 12*2 + 11 : 13*2 + 12
   29 : 35 : 38
   
   
   
3. Priya bought an article after successive discounts of 20% and 5%, the article which was marked at Rs 25,000. Now she also spends Rs 1,000 on the transportation and sells the article for Rs 25,000. What is the profit percent in this transaction?
   A) 32.5%
   B) 28%
   C) 22.5%
   D) 25%
   E) 24.5%
   
   Answer & Explanation

   D) 25%
   Explanation:
   Successive discounts of 20% and 5% makes overall discount of (-20) + (-5) + (-20)(-5)/100 = -25 +1 = -24%
   So she buys the article for [(100-24)/100] * 25000 = 19,000
   Spends 1000 on repairs, so total CP = 1000 + 19000 = 20,000
   SP = 25,000
   So profit% = (5000/20000) * 100
   
   
   
4. Two varieties of rice at Rs 20 per kg and Rs 30 per kg respectively are mixed in the same ratio as of their prices. The mixture is then sold at Rs 39 per kg. What is the profit %?
   A) 34 1/3%
   B) 25%
   C) 45.5%
   D) 50%
   E) 16 2/3%
   
   Answer & Explanation

   D) 50%
   Explanation:
   Let CP of mixture is x
   By method of allegation:
   A(20kg) B(30 kg)
   20 30
   . x
   (30-x) (x-20)
   Then, (30-x)/(x-20) = 20/30
   Solve, x = 26
   SP = 39
   So profit% = [(39-26)/26] * 100
   
   
   
5. 12 men complete a piece of work in 4 days and 15 women complete the same work in 4 days. The work is started by 6 men and after working for 2 days, they leave and some women are employed to complete the remaining work in 3 days. What is the number of women engaged in work?
   A) 18
   B) 20
   C) 15
   D) 16
   E) Cannot be determined
   
   Answer & Explanation

   C) 15
   Explanation:
   12 m in 4 days do 1 work so 6 men in 2 days do 6*2/12*4 = 1/4th of work
   Now 1 – (1/4) = 3/4 of work is remaining that is to be done by x women
   15 w do 1 work in 4 days, so x women will do 3/4 work in 3 days
   15*4*(3/4) = x*3*1
   
   

Directions(6-10): Study the pie-chart and table carefully to answer the questions that follow:
Pie-chart showing percentagewise distribution of cars in four different states
Total cars = 700
The table shows the ratio of females to males in the departments

6. What is the difference between the number of females in Manufacturing and the number of males in Networking?
   A) 44
   B) 36
   C) 61
   D) 21
   E) 35
   
   Answer & Explanation

   D) 21
   Explanation:
   (5/14)*(28/100)*700 – (1/2)*(26/100)*700
   
   
   
7. Number of males in HR is what percent more than the number of females in Accounts?
   A) 150%
   B) 125%
   C) 200%
   D) 100%
   E) 250%
   
   Answer & Explanation

   D) 100%
   Explanation:
   Males in HR = (3/8)*(32/100)*700 = 84
   Females in Accounts = (3/7)*(14/100)*700 = 42
   Required % = (84-42)/42 * 100
   
   
   
8. If 25% of females in HR are married and remaining females are unmarried, what is the number of females in HR which are unmarried?
   A) 80
   B) 120
   C) 105
   D) 125
   E) 95
   
   Answer & Explanation

   C) 105
   Explanation:
   Unmarried = 75%
   So unmarried females in HR = (75/100)*(5/8)*(32/100)*700 =
   
   
9. What is the difference between the total number of employees in HR and the number of males in Manufacturing?
   A) 75
   B) 98
   C) 89
   D) 112
   E) 105
   
   Answer & Explanation

   B) 98
   Explanation:
   Total in HR= (32/100)*700 = 224
   Males in manufacturing = (9/14)*(28/100)*700 = 126
   224-126
   
   
   
10. What is the average number of males in all the departments together?
    A) 89.25
    B) 89.75
    C) 86.75
    D) 88.25
    E) None of these
    
    Answer & Explanation

    A) 89.25
    Explanation:
    [ [(4/7)*(14/100) + (9/14)*(28/100) + (3/8)*(32/100) + (1/2)*(26/100)] * 700 ] / 4