HEC HAT - Engineering (MS) MCQs 2026

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. To reach more than one supervisor, a message must use both circuit and radio if it originates from

1. A F ✓
2. B K ✓
3. C M ✓
4. D N ✓

The sum of two numbers is 184, and one-third of one number exceeds one-seventh of the other by 8. The smaller number is

1. A 62 ✓
2. B 72 ✓
3. C 82 ✓
4. D 112 ✓

Find x and y where 3x + y = 20 and x/3 + 10 = y.

1. A x = -3, y = -11 ✓
2. B x = 3, y = 11 ✓
3. C x = 3, y = 12 ✓
4. D x = 11, y = 3 ✓

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

1. A 112/3 ✓
2. B 28/3 ✓
3. C 14/6 ✓
4. D 28/6 ✓

The sum of the 4th and 8th terms of an A.P. is 24 and the sum of its 6th and 10th terms is 44. The first term is

1. A -9 ✓
2. B -11 ✓
3. C -13 ✓
4. D -15 ✓

Seven offices numbered 1 to 7 are each painted one colour: two white, two blue, two green, one yellow. The two greens are adjacent; the two blues are not adjacent; yellow is not next to white; office 3 is white. If office 5 is painted white, which of the following could be true

1. A Office 4 is painted yellow ✓
2. B Office 4 is painted green ✓
3. C Office 2 is painted yellow ✓
4. D Office 6 is painted blue ✓

Seven offices numbered 1 to 7 are each painted one colour: two white, two blue, two green, one yellow. The two greens are adjacent; the two blues are not adjacent; yellow is not next to white; office 3 is white. If office 2 is painted green, which office must also be green

1. A 3 ✓
2. B 2 ✓
3. C 1 ✓
4. D 4 ✓

Oven cleaner plus household bleach emits chlorine gas; bathtub cleanser plus bleach also emits chlorine gas; ordinary soap plus bleach emits no gas. An unidentified agent added to bleach emitted no chlorine gas. It can be concluded that the agent

1. A contained soap and either oven cleaner or bathtub cleanser ✓
2. B contained soap and neither oven cleaner nor bathtub cleanser ✓
3. C was neither oven cleaner nor bathtub cleanser ✓
4. D was ordinary soap ✓

Imran is not going to Lahore and Shahid is not going to Islamabad. Imran and Saad go to different cities. Feroz alone goes to Karachi. If all four go to different cities, which city is Saad going to

1. A Islamabad ✓
2. B Karachi ✓
3. C Lahore ✓
4. D Cannot be determined ✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. Using the fewest intermediaries, exactly three intermediaries are required from

1. A F to N ✓
2. B J to H ✓
3. C K to G ✓
4. D N to K ✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. A message from G to F must be sent through

1. A H ✓
2. B K ✓
3. C M ✓
4. D N ✓

Two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 16. The ratio of their corresponding altitudes is

1. A 2 : 3 ✓
2. B 3 : 4 ✓
3. C 9 : 16 ✓
4. D 16 : 9 ✓

A man covers a distance in 4 hours. Had he moved 2 km/h slower, he would take 8 hours for the same distance. The distance is

1. A 4 km ✓
2. B 6 km ✓
3. C 12 km ✓
4. D 16 km ✓

When the clock shows 25 minutes past 2, the angle between the hands is

1. A 77.5 degrees ✓
2. B 88 degrees ✓
3. C 89.5 degrees ✓
4. D 90 degrees ✓

If (5a + 3b)/(2a - 3b) = 23/5, then a : b is

1. A 1 : 2 ✓
2. B 1 : 4 ✓
3. C 3 : 1 ✓
4. D 4 : 1 ✓

The average of 5 numbers is 12.6. If four of them are 9, 12, 15 and 20, the fifth number is

1. A 7 ✓
2. B 9 ✓
3. C 10 ✓
4. D 11 ✓

The units (last) digit of 333 raised to the power 444 is

1. A 1 ✓
2. B 3 ✓
3. C 7 ✓
4. D 9 ✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. A message can be sent using exactly one intermediary from

1. A F to M ✓
2. B H to F ✓
3. C K to H ✓
4. D N to K ✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. Sending a message requires using BOTH the circuit and the radio from

1. A F to M ✓
2. B J to H ✓
3. C K to J ✓
4. D N to G ✓

You should always lock the door when ______ your room.

1. A leave ✓
2. B leaving ✓
3. C left ✓
4. D to leave ✓

CROW : CAW ::

1. A ape : monkey ✓
2. B cat : kitten ✓
3. C dog : kennel ✓
4. D monkey : chatter ✓

Choose the word MOST NEARLY OPPOSITE: The rules of this organization are too STRINGENT and not ______.

1. A flexible ✓
2. B impractical ✓
3. C realistic ✓
4. D strict ✓

BEE : HONEY ::

1. A cow : milk ✓
2. B frog : leap ✓
3. C rabbit : hare ✓
4. D spider : web ✓

You mean you have been waiting __________ an hour.

1. A before ✓
2. B for ✓
3. C just ✓
4. D since ✓

Choose the best standard English form (select A if the original is best): "When the cat's away the mice will play."

1. A When the cat's away the mice will play ✓
2. B As the cat's away the mice will play ✓
3. C If the cat's away the mice will play ✓
4. D Whenever the cat's away the mice will play ✓

The scientist declared that he found an EXOTIC flower which ____________.

1. A had a sweet smell ✓
2. B he did not see or read about earlier ✓
3. C was gigantic in size ✓
4. D was poisonous ✓

Choose the word MOST NEARLY SIMILAR: If you BROOD over something you _______ it.

1. A desire ✓
2. B feel afraid of ✓
3. C prepare for ✓
4. D think about ✓

We expect a VERACIOUS account from you. So please be ______.

1. A careful ✓
2. B confident ✓
3. C honest ✓
4. D precise ✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. A message requires a minimum of two intermediaries from

1. A F to K ✓
2. B G to N ✓
3. C H to J ✓
4. D M to H ✓

Read: "The early years of Jamestown proved to be a nightmare for all concerned except the buzzards. Once ashore, the settlers died by the dozens from disease, malnutrition and starvation." In this context the word "buzzards" refers to

1. A birds of prey ✓
2. B investors of the Virginia Company ✓
3. C local people ✓
4. D the king and his courtiers ✓