# SBI Clerk | NABARD | RRB | SSC || Quantitative Aptitude Quiz: 13

## SBI Clerk | NABARD | RRB | SSC || Quantitative Aptitude Quiz: 13

Welcome to in our website. Here we are creating question sample in Quantitative Aptitude based on latest pattern, which is common for SBI, IBPS, RBI, LIC, NICL and other competitive exams.

1.) A can complete part of a work in 15 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will A and B together can complete that work?

1.) 2.) 3.) 4.) 5.) Sol
Remaining work =  X= 2.) In a class, the average age of boys is 14 years and that of girls is 12 years. The number of girls is 8 more than the number of boys. What is the average age of all the students in the class?

1.) 14 2.) 14.5 3.)13 4.)13.5 5.) Data inadequate
Sol

3.) In an institute, the ratio of number of male to female is 8:5. If 20% male and 25% female are illiterate, what is the number of literate males, when number of literate females is 750 ?

1.) 150 2.) 175 3.)200 4.)225 5.) 250
Sol
Let the no. of males and females be 8x and 5x respectively 4.) In a school, out of 500 students 325 play football, 175 play cricket and 50 play neither football nor cricket. How many students play both football and cricket?

1.) 50 2.) 75 3.)100 4.)125 5.) 150

Sol
Let the no of students playing both games be x
450 = 325+175 -x
x = 500 – 450 = 50

5.) Pipe A can fill a tank in 8 hours and pipe B can empty it in 5 hours. If part of the tank is full with water and both pipes are opened simultaneously, in what time will the tank empty?

1.) 20 2.) 18 3.)15 4.)12 5.) 10

Sol
Time taken to empty the tank = Time taken to empty the tank  X = 10 hours.

6.) The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm. less than the side of the square. What is the perimeter of the rectangle?

1.) 30 2.) 32 3.) 33 4.) 34 5.) 40

Sol

Let the side of the square be x cm
length of rectangle = (x+5) cm
(x+5) (x-3) = x2
x2-5x -3x – 15 = x2
2x =15
Perimeter of rectangle = 2(x+5+x–3) = 2(2x + 2)
= 2(15 + 2) = 34 cm

7.) A takes twice the time in completing a piece of work than B and C takes thrice as B. If they complete all work together in 18 days, In how many days A alone can do the work?

1.) 55 2.) 58 3.) 63 4.) 66 5.) 70

Sol
Let time taken by B to finish the work= x
Let time taken by A to finish the work= 2x
Let time taken by C to finish the work= 3x
So, time taken by (A+B+C) to finish the work Let time by A finish the work = 2x
= 2 × 33 = 66

8.) If the circum radius of an equilateral triangle is 12 cm, then the measure of its in-radius is –

1.) 10 2.) 9 3.) 8 4.) 7 5.) 6

Sol

Let AB = x cm 9.) In how many different ways can 5 boys and 4 girls be arranged in a row such that all the boys stand together and all the girls stand together?

1.) 5730 2.) 5740 3.) 5750 4.) 5760 5.) 5780

Sol

Total ways = 5! 4! × 2= 120 × 24 × 2= 5760

10.) A committee of five members is to be formed out of 5 IT officers, 4 clerks and 2 peons, In how many different ways can it be done if the committee should consists of 3 IT officers, 1 clerk & 1 peon ?

1.) 64 2.) 80 3.) 90 4.) 120 5.) 130
Sol