Mixed Quantitative Aptitude Questions Set 101

Directions(1-5): What will come in place of question mark “?” in the following questions.

1. [559/13 + 19*7] – 819 / 21 of 3 = ?
   150
   125
   163
   144
   174
   Option C
   [559/13 + 19*7] – 819 / 21 of 3 = ?
   => ( 43 + 133 ) – 819 / 63 = ?
   => 176 – 13 = ?
   => ? = 163

    

2. {[36*23 + 442 / 17] + [18* 25 – ?] – 209 } = 778
   350
   285
   299
   310
   317
   Option E
   {[36*23 + 442 / 17] + [18* 25 – ?] – 209 } = 778
   => ( 828 + 26 ) + (450 – ?) – 209 = 778
   => 1095 – ? = 778
   => 1095 – 778 = ?
   => ? = 317

    

3. {[42% of 550 + 16] – 12 * (244 / 4 – 54)} = ?
   163
   105
   111
   125
   150
   Option A
   {[42% of 550 + 16] – 12 * (244 / 4 – 54)} = ?
   =>{ (231 +16) – 12*(61-54)} = ?
   => (247 – 12*7) = ?
   => ? = 163

    

4. [613 – {(64 + 37*16) – 501} * (946 / 86 – ?)] = 148
   18
   8
   12
   10
   16
   Option B
   [613 – {(64 + 37*16) – 501} * (946 / 86 – ?)] = 148
   => [613 – (656 – 501)* (11- ?) ] = 148
   => 613 – 155*(11 – ?) = 148
   => ? = 8

    

5. (35% of 40% of 650 – 62) + ? * (592 / 16 – 26) = 315
   10
   22
   15
   30
   26
   Option E
   (35% of 40% of 650 – 62) + ? * (592 / 16 – 26) = 315
   => (35% of 260 – 62) + ? *(37 – 26) = 315
   => (91 – 62) + ?*11 = 315
   => ? = 26

    

6. If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
   Rs. 1450
   Rs. 1520
   Rs. 1250
   Rs. 1000
   Rs. 1800
   Option E
   Least Cost Price = Rs. (200 * 8) = Rs. 1600.
   Greatest Selling Price = Rs. (425 * 8) = Rs. 3400
   Required profit = Rs. (3400 – 1600) = Rs. 1800.

    

7. The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
   552 kms
   488 kms
   450 kms
   352 kms
   500 kms
   Option A
   Total distance travelled in 12 hours
   = (35+37+39+…..upto 12 terms)
   This is an A.P with first term, a=35, number of terms, n= 12,d=2.
   Required distance = 12/2[2 x 35+{12-1) x 2] = 6(70+23) = 552 kms.

    

8. A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
   7
   6
   5
   2
   4
   Option B
   Distance = 110 m
   Relative speed = 60 + 6 = 66 kmph (Since both the train and the man are in moving in opposite direction)
   = (66*5/18) m/sec = 55/3 m/sec
   Time taken to pass the man = (100*3/55) = 6 s

    

9. Sobha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
   12
   8
   10
   6
   14
   Option D
   Let Sobha’s age =x and her brother’s age =x−4
   Sobha’s father’s age =x+38
   Sobha’s mother’s age =(x−4)+36=x+32
   Sobha’s father’s age – Sobha’s mother’s age
   = (x+38)−(x+32)
   = 6

    

10. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
    7/11
    6/13
    6/11
    5/11
    3/10
    Option C
    Ratio of water filled by A,B,C per minute = 1/30:1/20:1/10 = 2:3:6
    Proportion of R any time = 6/(2+3+6) = 6/11