Quantitative Aptitude PYQs

Q111. In how much time A and B together can complete the whole work? Statement 1- A and B can complete the work working alternatively starting from A in 16 days Statement 2 - Ratio of efficiency of A and B is 2 : 1 Statement 3 - C can complete the work alone is 36 days while A and C together can complete the work in 9 days

Q112. Find the wrong number in the given series. 140, 160, 182, 206, 234, 260

Q113. There are two equations I. x² –14x +24 = 0 and II. y² + 8y + 15 = 0. The highest root of equation I is what percentage of lowest root of equation II.

Q114. There are two equations I. x² +7x + C = 0 and II. y² + 21y + 68 = 0. The even root of equation (II) is one of the roots of equation (I). Find the value of C.

Direction (115–120): The bar graph shows the percentage of baked bricks out of total bricks in five brickfield and percentage of baked brick sold by each brickfield.

Note – (i) Total number of baked bricks in C is 360. (ii) Total number sold baked brick in D is 350. (iii) Total bricks = baked bricks+ unbaked bricks (iv) Total baked brick = sold baked bricks + unsold baked bricks.

Find the unsold baked bricks by D.

Direction (115–120): The bar graph shows the percentage of baked bricks out of total bricks in five brickfield and percentage of baked brick sold by each brickfield.

Note – (i) Total number of baked bricks in C is 360. (ii) Total number sold baked brick in D is 350. (iii) Total bricks = baked bricks+ unbaked bricks (iv) Total baked brick = sold baked bricks + unsold baked bricks.

Find the sum of total bricks in C and D.

Direction (115–120): The bar graph shows the percentage of baked bricks out of total bricks in five brickfield and percentage of baked brick sold by each brickfield.

Note – (i) Total number of baked bricks in C is 360. (ii) Total number sold baked brick in D is 350. (iii) Total bricks = baked bricks+ unbaked bricks (iv) Total baked brick = sold baked bricks + unsold baked bricks.

Find the ratio of unbaked bricks in C to that in D.

Direction (115–120): The bar graph shows the percentage of baked bricks out of total bricks in five brickfield and percentage of baked brick sold by each brickfield.

Note – (i) Total number of baked bricks in C is 360. (ii) Total number sold baked brick in D is 350. (iii) Total bricks = baked bricks+ unbaked bricks (iv) Total baked brick = sold baked bricks + unsold baked bricks.

If the total number of bricks in A is 50% more than unbaked bricks by D, then find the number of sold baked bricks by A.

Direction (115–120): The bar graph shows the percentage of baked bricks out of total bricks in five brickfield and percentage of baked brick sold by each brickfield.

Note – (i) Total number of baked bricks in C is 360. (ii) Total number sold baked brick in D is 350. (iii) Total bricks = baked bricks+ unbaked bricks (iv) Total baked brick = sold baked bricks + unsold baked bricks.

The number of sold baked bricks by B is what percentage of unbaked bricks by B.

Direction (115–120): The bar graph shows the percentage of baked bricks out of total bricks in five brickfield and percentage of baked brick sold by each brickfield.

Note – (i) Total number of baked bricks in C is 360. (ii) Total number sold baked brick in D is 350. (iii) Total bricks = baked bricks+ unbaked bricks (iv) Total baked brick = sold baked bricks + unsold baked bricks.

Unbaked bricks of E are same as that of D. Find unsold baked bricks by E.

Direction:- Table given below shows data regarding five shops which sell blue and red pens. Some data is missing which you have to calculate according to question. Selling price of each blue pen is Rs.20 while that of each red one is Rs.15 each.

111. Find the ratio of number of red pens sold by shop A to number of blue pens sold by shop D

Direction:- Table given below shows data regarding five shops which sell blue and red pens. Some data is missing which you have to calculate according to question. Selling price of each blue pen is Rs.20 while that of each red one is Rs.15 each.

112. Ratio between number of blue pens sold by shop B and number of red pens sold by shop B is 3:2. If total selling price obtained by shop C is Rs 90 less than that obtained by shop B and number of blue pens sold by shop C is 5 more than red pens sold then, number of red pens sold by shop C is:

Direction:- Table given below shows data regarding five shops which sell blue and red pens. Some data is missing which you have to calculate according to question. Selling price of each blue pen is Rs.20 while that of each red one is Rs.15 each.

113. If the selling price of all pens in shop B is 20% more than the selling price of all the pens of E, then find the ratio of total selling price of shop A and B, together to the total selling price of shops D and E together.

Direction:- Table given below shows data regarding five shops which sell blue and red pens. Some data is missing which you have to calculate according to question. Selling price of each blue pen is Rs.20 while that of each red one is Rs.15 each.

Average number of pens in shop A, B, C and D is 25 and the selling price of shop C is Rs. 70 than that of selling price in shop E. Then the number of pens in shop A is what percent more/less than that in shop C.

Direction:- Table given below shows data regarding five shops which sell blue and red pens. Some data is missing which you have to calculate according to question. Selling price of each blue pen is Rs.20 while that of each red one is Rs.15 each.

115. In Another shop F, selling price of pens sold by it is 25% more than that of D and there are total number of pens in shop F is 24 (number of red pen and blue pen are same). He bought the blue pen for Rs. 18 and red pen in Rs. 12 each. Then find the profit % of shop F.

Direction:- In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer:

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I ≤ Quantity II
5. Quantity I = Quantity II or relation cannot be established.

Quantity I: Value of 'p' such that (√(aᵖ))² = a⁴/√a¹⁶ Quantity II: 1

Direction:- In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer:

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I ≤ Quantity II
5. Quantity I = Quantity II or relation cannot be established.

For a > 1 > b > 0, Quantity I: Given that {(a³ – b³)/(a – b)} – 3ab Quantity II: 1 – (1/a) – (1/b)

Direction:- Answer the given set of questions based on following information Equation 1: ax² - 9x + 7 = 0 Equation 2 : by² - 8y + 4 = 0 Note:-

1. Both a & b are positive integers, where b > a
2. One of the roots of equation 2^nd is 2/3.
3. The ratio between highest root of equation 1^st to the highest root of equation 2^nd is 7:4.
4. Find the ratio of smallest root of equation 1 to the smallest root of equation 2.

Direction:- Answer the given set of questions based on following information [Directions text same as q118] 119. Find the value of (a + b)

Direction:- Answer the given set of questions based on following information [Directions text same as q118] 120. Find the roots of the equation given below (a + b)² x² + (3ab + 1)x – 6 = 0