Online HEC HAT 1 UG Engineering & IT Quantitative Group Test Preparation

If abc = 2 and a =c then b=

• a² A
• 1/2a B
• 2/a² C
• 2-a² D

5/3 + 7/6 +9/3 +7/2 =?

• 28/3 A
• 112/3 B
• 28/12 C
• 14/7 D

The value of (x+y)² - (x-y)² is?

• 4 A
• x²+y² B
• 4xy C
• -4xy D

A and B can do a jobs in 6 days. If A does the job alone he takes 10 days.What will be time required by B to complete the job alone?

• 8 A
• 6 B
• 15 C
• 3 D

Find the arithmetic mean of 25.2, 13.5, 18.5, and 34.8

• 13 A
• 23 B
• 27 C
• 5 D

A man spent 10% of his money .After spending 60% of the reminder he has Rs.72 left. How much had he in the start?

• 10 A
• 100 B
• 200 C
• 400 D

• 5 A
• 10 B
• 110 C
• 125 D

A rectangle is 16 cm long and 10 cm wide. If the length is reduced by k cm and its width is increased also by k cm so as to make it a square then its area changes by

• 169 A
• 256 B
• 100 C
• 9 D
• None of the above E

If x + 3y =7 and 2x + y =5 then value x/y is?

• 1/2 A
• 1/3 B
• 2/5 C
• 8/9 D

The annual decrease in the population of a city was 10% and the present number of inhabitants is 1620. What was the population 2 years hence ?

• 20 A
• 400 B
• 2000 C
• 1000 D

9218 - 3546+ 2354 =?

• 8026 A
• 8116 B
• 10410 C
• 23174 D

If p is a negative integer and P² + 11p = t, a value of t could be

• 12 A
• 18 B
• -18 C
• 11 D

How many cents will r books cost if t books cost m dollars ?

• 
  A
• 
  B
• 
  C
• 
  D

x² = 1681, x=?

• 31 A
• 41 B
• 51 C
• 61 D

224√ 0.88 =? x 1122

• 20.02 A
• 20.2 B
• 19.3 C
• 2.27 D

In a school there are 400 students , of whom 70% are boys. What is the number of girls?

• 130 A
• 200 B
• 280 C
• 2800 D

2x2y when multiplied with x² + y² gives ?

• 2x²y³ + 2xy³ A
• 2x⁴y+ 2x²y³ B
• 2xy²+ 2x²y C
• 2xy³+ 2x³y D

(44 x 3) + 128 + 120 / 9.5 - 94.7

• 380 A
• 10 B
• 76.12 C
• 100 D

1/2 of 44÷ 2.2 =?

• 20 A
• 22 B
• 44 C
• 100 D

If (36)(?)(7)=21, then ? equals

• 21/43 A
• 1/42 B
• 1/12 C
• 1/11 D

If you have 50 green , 50 orange, and 50 yellow jelly beans, how many bags can you fill for Halloween each containing 2 green, 3 orange, and 4 yellow jelly beans?

• 12 A
• 13 B
• 16 C
• 17 D

If a pipe can fill a tank in 2 hours and another pipe can fill the same tank in 40 minutes. how much time in minutes is needed to fill the tank if both the pipes are working together?

• 90 A
• 50 B
• 60 C
• 30 D

(60)² =? x 7

• 3600 A
• 3528 B
• 0.02 C
• 50 D

If a machine can place a cap on a bottle of soda every 0.8 seconds, how many bottles can be capped in 2 hours?

• 8000 A
• 9000 B
• 300 C
• 900 D

How many miles are there between two cities if the distance is represented by a 2.4-inch line on a map having a scale of 1 inch to 8 miles ?

• 19.2 A
• 12.8 B
• 8.5 C
• 38 D

The average height of a class of 14 days is 5.3 feet. After new boy is admitted to the class ,the new average height now becomes 5.25. What is the height of the new boy?

• 4.55 A
• 5.0 B
• 6.0 C
• 3.5 D

Change 27/7 to a mixed number.

• 6 1/3 A
• 7 1/2 B
• 3 6/7 C
• 2 1/7 D

• 41^O A
• 65^O B
• 115^O C
• 106^O D

t is an integer greater than 5. The expression that must represent an odd integer is 

• t(t+1) A
• 3t-1 B
• t² C
• 2t-3 D

What is the number , 5% of which is 10?

• 200 A
• 100 B
• 50 C
• 10 D

If 3x+5y=10 and 3y+5x=30 then average if 'x' and 'y' is?

• 3/2 A
• 4 B
• 5/2 C
• 7/2 D

• 4π A
• 18π B
• 28π C
• 32π D

(242 - 17)² - (7-5)²=?

• 49000 A
• 49200 B
• 94200 C
• 49400 D

• 780 A
• 585 B
• 1170 C
• 540 D

One half of the employees of Al Karim Co. earn salaries above Rs. 18,000 monthly. One third of the remainder earn salaries between Rs. 15,000 and Rs. 18,000. What part of the staff earns below Rs. 15,000 ?

• 2/3 A
• 1/3 B
• 2/5 C
• 3/5 D

Find the ratio of 18 inches to 2 yards.

• 
  A
• 
  B
• 
  C
• 
  D

A man has Rs.2000 and spends 18% of it. What money has he left now?

• 3600 A
• 820 B
• 1640 C
• 4000 D

A word processing operator typed 44 words per minute. After practice, the operator's speed increased to 55 words per minutes. By what percent did the operator's speed increase?

• 25% A
• 50% B
• 15% C
• 20% D

19 x 11 +18 x 6 / 24x3 - 62

• 20.7 A
• 21 7/8 B
• 1.47 C
• 31.7 D

1250÷ 25 x 0.5 = ?

• 25 A
• 50 B
• 2.5 C
• 100 D